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{{Merge from|Science in Medieval Western Europe |discuss=Talk:Science in the Middle Ages#What to do with "Science in Medieval Western Europe" |date=August 2010}}
{{Merge from|Science in Medieval Western Europe |discuss=Talk:Science in the Middle Ages#What to do with "Science in Medieval Western Europe" |date=August 2010}}
{{HistOfScience}}
{{Very long|date=June 2008}}

Scientific activities were carried on throughout '''the [[Middle Ages]]'''<ref>Although the term "Middle Ages" in most strongly associated with [[European history]], it is used here as a historical period for the entire world.</ref> in areas as diverse as [[astronomy]], [[medicine]], and [[mathematics]]. Whereas the ancient cultures of the world (i.e. those prior to the [[fall of Rome]] and the [[Muslim history|dawn of Islam]]) had developed many of the foundations of science, it was during the Middle Ages that the [[scientific method]] was born and '''[[science]]''' became a formal discipline separate from [[philosophy]].<ref name=Gorini>{{cite journal |last=Gorini |first=Rosanna |title=Al-Haytham the man of experience. First steps in the science of vision |journal=Journal of the International Society for the History of Islamic Medicine |volume=2 |issue=4 |pages=53–5 |month=October | year=2003 |url=http://www.ishim.net/ishimj/4/10.pdf |format=PDF |accessdate=2008-09-25 |ref=harv}}</ref><ref>Saliba, George: ''[http://books.google.com/books?id=mOquCzBX3xcC A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam]'', pg. 32, NYU Press, 1994, ISBN 0814780237</ref><ref name=Dallal>{{Cite document|first=Ahmad|last=Dallal|year=2001–2002|title=The Interplay of Science and Theology in the Fourteenth-century Kalam|publisher=From Medieval to Modern in the Islamic World, Sawyer Seminar at the [[University of Chicago]] |url=http://humanities.uchicago.edu/orgs/institute/sawyer/archive/islam/dallal.html |accessdate=2008-02-02|ref=harv|postscript=<!--None-->}}</ref> There were scientific discoveries throughout the world, as in the [[Islamic Golden Age|Islamic world]], in the [[Mediterranean basin]], [[China]] and [[History of India|India]], while from the 12th century onwards, the scientific development in [[Western Europe]] began to catch up again.
Scientific activities were carried on throughout the [[Middle Ages]] in areas as diverse as [[astronomy]], [[medicine]], and [[mathematics]]. Whereas the ancient cultures of the world (i.e. those prior to the [[fall of Rome]] and the [[Muslim history|dawn of Islam]]) had developed many of the foundations of science, it was during the Middle Ages that the [[scientific method]] was born and '''[[science]]''' became a formal discipline separate from [[philosophy]].<ref name=Gorini>{{cite journal |last=Gorini |first=Rosanna |title=Al-Haytham the man of experience. First steps in the science of vision |journal=Journal of the International Society for the History of Islamic Medicine |volume=2 |issue=4 |pages=53–5 |month=October | year=2003 |url=http://www.ishim.net/ishimj/4/10.pdf |format=PDF |accessdate=2008-09-25 |ref=harv}}</ref><ref>Saliba, George: ''[http://books.google.com/books?id=mOquCzBX3xcC A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam]'', pg. 32, NYU Press, 1994, ISBN 0814780237</ref><ref name=Dallal>{{Cite document|first=Ahmad|last=Dallal|year=2001–2002|title=The Interplay of Science and Theology in the Fourteenth-century Kalam|publisher=From Medieval to Modern in the Islamic World, Sawyer Seminar at the [[University of Chicago]] |url=http://humanities.uchicago.edu/orgs/institute/sawyer/archive/islam/dallal.html |accessdate=2008-02-02|ref=harv|postscript=<!--None-->}}</ref> The historical term "Middle Ages" developed within the context of European historiography.<ref>{{Citation | last = Robinson | first = Fred C. | title = Medieval, the Middle Ages | journal = Speculum | volume = 59 | issue = 4 | pages = 745-56 | year = 1984 | month = Oct | url = http://www.jstor.org/stable/2846695 }}</ref> In this article it's scope is restricted to Western Europe, the Byzantine Empire and the Islamic world.


The [[Byzantine Empire]], which was the most sophisticated culture during the early Middle Ages, preserved the systems and theories of science, mathematics, and Medicine of the Greco-Roman period. The works of [[Aristotle]], [[Archimedes]], [[Galen]], [[Ptolemy]], [[Euclid]], and others spread through the empire. These works and the important commentaries on them were the wellspring of science during the Medieval period. Christian [[Western Europe]] had suffered a catastrophic loss of knowledge following the fall of the [[Western Roman Empire]]. But thanks to the [[Roman Catholic Church|Church]] scholars such as [[Aquinas]] and [[Buridan]], the West carried on at least the spirit of scientific inquiry which would later lead to Europe's taking the lead in science during the [[Scientific Revolution]] using [[Latin translations of the 12th century|translations of medieval works]].
In the Middle Ages the [[Byzantine Empire]], which had inherited the sophisticated science, mathematics, and medicine of classical antiquity and the Hellenistic era, soon fell behind the achievements of Western Europe and the Islamic world.<ref>{{Citation | last = Grant | first = Edward | author-link = Edward Grant | title = The Foundations of Modern Science in the Middle Ages: Their Religious, Institutional, and Cultural Contexts | place = Cambridge | publisher = Cambridge University Press | year = 1996 | pages = 186-91 | isbn = 0-521-56762-9}}</ref> Following the fall of the [[Western Roman Empire]] and the decline in knowledge of [[Greek language|Greek]], Christian [[Western Europe]] was cut off from an important source of ancient learning. However, a range of Christian clerics and scholars from [[Isidore of Seville|Isidore]] and [[Bede]] to [[Jean Buridan|Buridan]] and [[Nicole Oresme|Oresme]] maintained the spirit of rational inquiry which would later lead to Europe's taking the lead in science during the [[Scientific Revolution]].


==Western Europe==
==Western Europe==
[[Image:God the Geometer.jpg|thumb|upright|[[Science]], and particularly [[geometry]] and [[astronomy]], was linked directly to the divine for most medieval scholars. Since God created the universe after geometric and harmonic principles, to seek these principles was therefore to seek and worship God.]]
[[Image:God the Geometer.jpg|thumb|upright|[[Science]], and particularly [[geometry]] and [[astronomy]], was linked directly to the divine for most medieval scholars. Since God created the universe after geometric and harmonic principles, to seek these principles was therefore to seek and worship God.]]
As Roman imperial authority effectively [[Fall of Rome|ended]] in the West during the 5th century, [[Western Europe]] entered the Middle Ages with great difficulties that affected the continent's intellectual production dramatically. Most classical scientific treatises of [[classical antiquity]] written in [[Greek language|Greek]] were unavailable, leaving only simplified summaries and compilations. Nonetheless, Roman and early medieval scientific texts were read and studied, contributing to the understanding of nature as a coherent system functioning under divinely established laws that could be comprehended in the light of reason. This study continued through the Early Middle Ages, and with the [[Renaissance of the 12th century]], interest in this study was revitalized through the translation of Greek and Arabic scientific texts. Scientific study further developed within the emerging medieval universities, where Greek texts were studied and elaborated, leading to new insights into the phenomena of the [[universe]]. These advances are virtually unknown to the lay public of today, partly because most theories advanced in medieval science are today [[obsolete]], and partly because of the caricature of Middle Ages as a supposedly "[[Dark Ages|Dark Age]]" which placed "the word of religious authorities over personal experience and rational activity."<ref>David C. Lindberg, "The Medieval Church Encounters the Classical Tradition: Saint Augustine, Roger Bacon, and the Handmaiden Metaphor", in David C. Lindberg and Ronald L. Numbers, ed. ''When Science & Christianity Meet'', (Chicago: University of Chicago Pr., 2003), p.8</ref>
{{Main|Science in Medieval Western Europe}}
As Roman imperial authority effectively [[Fall of Rome|ended]] in the West during the 5th century, [[Western Europe]] entered the Middle Ages with great difficulties that affected the continent's intellectual production dramatically. Most classical scientific treatises of [[classical antiquity]] written in [[Greek language|Greek]] were unavailable, leaving only simplified summaries and compilations. Notwithstanding, with the beginning of the [[Renaissance of the 12th century]], interest in natural investigation was renewed. Science developed in this golden period of [[Scholasticism|Scholastic philosophy]] focused on [[logic]] and advocated [[empiricism]], perceiving nature as a coherent system of laws that could be explained in the light of reason. With this view the medieval men of science went in search of explanations for the phenomena of the [[universe]] and achieved important advances in areas such as [[scientific method]]ology and [[physics]], among many others. These advances are virtually unknown to the lay public of today, partly because most theories advanced in medieval science are today [[obsolete]], and partly because of the caricature of Middle Ages as a supposedly "[[Dark Ages|Dark Age]]" which placed "the word of religious authorities over personal experience and rational activity."<ref>David C. Lindberg, "The Medieval Church Encounters the Classical Tradition: Saint Augustine, Roger Bacon, and the Handmaiden Metaphor", in David C. Lindberg and Ronald L. Numbers, ed. ''When Science & Christianity Meet'', (Chicago: University of Chicago Pr., 2003), p.8</ref>


===Early Middle Ages (AD 476–1000)===
===Early Middle Ages (AD 476–1000)===
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In the ancient world, Greek had been the primary language of science. Even under the Roman Empire, [[Latin]] texts drew extensively on Greek work, some pre-Roman, some contemporary; while advanced scientific research and teaching continued to be carried on in the [[Hellenistic]] side of the empire, in Greek. Late Roman attempts to translate Greek writings into Latin had limited success.<ref>[[William Stahl]], ''Roman Science'', (Madison: Univ. of Wisconsin Pr.) 1962, see esp. pp. 120–33.</ref>
In the ancient world, Greek had been the primary language of science. Even under the Roman Empire, [[Latin]] texts drew extensively on Greek work, some pre-Roman, some contemporary; while advanced scientific research and teaching continued to be carried on in the [[Hellenistic]] side of the empire, in Greek. Late Roman attempts to translate Greek writings into Latin had limited success.<ref>[[William Stahl]], ''Roman Science'', (Madison: Univ. of Wisconsin Pr.) 1962, see esp. pp. 120–33.</ref>


As the knowledge of Greek declined during the transition to the Middle Ages, the Latin West found itself cut off from its Greek philosophical and scientific roots. Most scientific inquiry came to be based on information gleaned from sources which were often incomplete and posed serious problems of interpretation. Latin-speakers who wanted to learn about science only had access to books by such Roman writers as [[Calcidius]], [[Macrobius]], [[Martianus Capella]], [[Boethius]], [[Cassiodorus]], and later Latin [[encyclopedist]]s. Much had to be gleaned from non-scientific sources: Roman surveying manuals were read for what geometry was included.<ref>{{cite book|title=The Foundations of Modern Science in the Middle Ages|author=Edward Grant|year=1996 |pages=13–4|
As the knowledge of Greek declined during the transition to the Middle Ages, the Latin West found itself cut off from its Greek philosophical and scientific roots. Most scientific inquiry came to be based on information gleaned from sources which were often incomplete and posed serious problems of interpretation. Latin-speakers who wanted to learn about science only had access to books by such Roman writers as [[Calcidius]], [[Macrobius]], [[Martianus Capella]], [[Boethius]], [[Cassiodorus]], and later Latin [[encyclopedist]]s. Much had to be gleaned from non-scientific sources: Roman surveying manuals were read for what geometry was included.<ref>{{cite book|title=The Foundations of Modern Science in the Middle Ages|author=Edward Grant|year=1996 |pages=13–14|
publisher=Cambridge University Press|isbn=0-521-56137-X|oclc=185336926 231694648 238829442 33948732}}</ref>
publisher=Cambridge University Press|isbn=0-521-56137-X|oclc=185336926 231694648 238829442 33948732}}</ref>


Deurbanization reduced the scope of education and by the sixth century teaching and learning moved to [[Monastic school|monastic]] and [[cathedral school#Early schools|cathedral schools]], with the center of education being the study of the Bible.<ref>Pierre Riché, ''Education and Culture in the Barbarian West: From the Sixth through the Eighth Century'' (Columbia: Univ. of South Carolina Pr., 1976), pp. 100–29.</ref> Education of the laity survived modestly in Italy, Spain, and the southern part of Gaul, where Roman influences were most long-lasting. In the seventh century, learning began to emerge in Ireland and the Celtic lands, where Latin was a foreign language and Latin texts were eagerly studied and taught.<ref>Pierre Riché, ''Education and Culture in the Barbarian West: From the Sixth through the Eighth Century'' (Columbia: Univ. of South Carolina Pr., 1976), pp. 307–23.</ref>
Deurbanization reduced the scope of education and by the sixth century teaching and learning moved to [[Monastic school|monastic]] and [[cathedral school#Early schools|cathedral schools]], with the center of education being the study of the Bible.<ref>Pierre Riché, ''Education and Culture in the Barbarian West: From the Sixth through the Eighth Century'' (Columbia: Univ. of South Carolina Pr., 1976), pp. 100–29.</ref> Education of the laity survived modestly in Italy, Spain, and the southern part of Gaul, where Roman influences were most long-lasting. In the seventh century, learning began to emerge in Ireland and the Celtic lands, where Latin was a foreign language and Latin texts were eagerly studied and taught.<ref>Pierre Riché, ''Education and Culture in the Barbarian West: From the Sixth through the Eighth Century'' (Columbia: Univ. of South Carolina Pr., 1976), pp. 307–23.</ref>


[[Image:Silos-Claustro.jpg|thumb|left|In the Early Middle Ages, cultural life was concentrated at [[monastery|monasteries]]]]
[[Image:Silos-Claustro.jpg|thumb|left|In the Early Middle Ages, scientific study was concentrated at [[monastery|monasteries]]]]
The leading scholars of the early centuries were [[clergy]]men for whom the study of [[nature]] was but a small part of their interest. They lived in an atmosphere which provided little institutional support for the disinterested study of natural phenomena and they concentrated their attention on religious topics. The study of nature was pursued more for practical reasons than as an abstract inquiry: the need to care for the sick led to the study of medicine and of ancient texts on drugs,<ref>Linda E. Voigts, "Anglo-Saxon Plant Remedies and the Anglo-Saxons," ''Isis'', 70(1979):250–68; reprinted in M. H. Shank, ed., ''The Scientific Enterprise in Antiquity and the Middle Ages'', (Chicago: Univ. of Chicago Pr., 2000).</ref> the need for monks to determine the proper time to pray led them to study the motion of the stars,<ref>Stephen C. McCluskey, "Gregory of Tours, Monastic Timekeeping, and Early Christian Attitudes to Astronomy," ''Isis'', 81(1990):9–22; reprinted in M. H. Shank, ed., ''The Scientific Enterprise in Antiquity and the Middle Ages'', (Chicago: Univ. of Chicago Pr., 2000).</ref> the need to [[Computus#History|compute the date of Easter]] led them to study and teach rudimentary mathematics and the motions of the Sun and Moon.<ref>Stephen C. McCluskey, ''Astronomies and Cultures in Early Medieval Europe'' (Cambridge: Cambridge Univ. Pr., 1998), pp. 149–57.</ref> Modern readers may find it disconcerting that sometimes the same works discuss both the technical details of natural phenomena and their symbolic significance.<ref>Faith Wallis, "'Number Mystique' in Early Medieval Computus Texts," pp. 179–99 in T. Koetsier and L. Bergmans, eds. ''Mathematics and the Divine: A Historical Study'' (Amsterdam: Elsevier, 2005).</ref>
The leading scholars of the early centuries were [[clergy]]men for whom the study of [[nature]] was but a small part of their interest. They lived in an atmosphere which provided little institutional support for the disinterested study of natural phenomena. The study of nature was pursued more for practical reasons than as an abstract inquiry: the need to care for the sick led to the study of medicine and of ancient texts on drugs,<ref>Linda E. Voigts, "Anglo-Saxon Plant Remedies and the Anglo-Saxons," ''Isis'', 70(1979):250–68; reprinted in M. H. Shank, ed., ''The Scientific Enterprise in Antiquity and the Middle Ages'', (Chicago: Univ. of Chicago Pr., 2000).</ref> the need for monks to determine the proper time to pray led them to study the motion of the stars,<ref>Stephen C. McCluskey, "Gregory of Tours, Monastic Timekeeping, and Early Christian Attitudes to Astronomy," ''Isis'', 81(1990):9–22; reprinted in M. H. Shank, ed., ''The Scientific Enterprise in Antiquity and the Middle Ages'', (Chicago: Univ. of Chicago Pr., 2000).</ref> the need to [[Computus#History|compute the date of Easter]] led them to study and teach rudimentary mathematics and the motions of the Sun and Moon.<ref>Stephen C. McCluskey, ''Astronomies and Cultures in Early Medieval Europe'' (Cambridge: Cambridge Univ. Pr., 1998), pp. 149–57.</ref> Modern readers may find it disconcerting that sometimes the same works discuss both the technical details of natural phenomena and their symbolic significance.<ref>Faith Wallis, "'Number Mystique' in Early Medieval Computus Texts," pp. 179–99 in T. Koetsier and L. Bergmans, eds. ''Mathematics and the Divine: A Historical Study'' (Amsterdam: Elsevier, 2005).</ref>


Around 800, the first attempt at rebuilding Western culture occurred (see: [[Carolingian Renaissance]]). [[Charlemagne|Charles the Great]], having succeeded at uniting a great portion of Europe under his domain, instituted reform in [[education]], assisted by the [[England|English]] monk [[Alcuin|Alcuin of York]]. The chief scientific aspect of Charlemagne's educational reform concerned the study and teaching of astronomy, both as a practical art that [[clerics]] required to compute the date of Easter and as a theoretical discipline.<ref>{{Citation | editor-last = Butzer | editor-first = Paul Leo | editor2-last = Lohrmann | editor2-first = Dietrich | title = Science in Western and Eastern Civilization in Carolingian Times | place = Basel / Boston / Berlin | publisher = Birkhäuser Verlag | year = 1993 | isbn = 0-8176-2863-0}}</ref> From the year 787 on, [[decree]]s were issued recommending the restoration of old schools and the founding of new ones throughout the empire. Institutionally, [[Carolingian Schools|these new schools]] were either under the responsibility of a [[monastery]], a [[cathedral]] or a [[noble court]].
Around 800, [[Charlemagne|Charles the Great]], assisted by the [[England|English]] monk [[Alcuin|Alcuin of York]], undertook what has become known as the [[Carolingian Renaissance]], a program of cultural revitalization and educational reform. The chief scientific aspect of Charlemagne's educational reform concerned the study and teaching of astronomy, both as a practical art that [[clerics]] required to compute the date of Easter and as a theoretical discipline.<ref>{{Citation | editor-last = Butzer | editor-first = Paul Leo | editor2-last = Lohrmann | editor2-first = Dietrich | title = Science in Western and Eastern Civilization in Carolingian Times | place = Basel / Boston / Berlin | publisher = Birkhäuser Verlag | year = 1993 | isbn = 0-8176-2863-0}}</ref> From the year 787 on, [[decree]]s were issued recommending the restoration of old schools and the founding of new ones throughout the empire. Institutionally, [[Carolingian Schools|these new schools]] were either under the responsibility of a [[monastery]], a [[cathedral]] or a [[noble court]].


The scientific work of the period after Charlemagne was not so much concerned with original investigation as it was with the active study and investigation of ancient Roman scientific texts.<ref>{{Citation | last = Eastwood | first = Bruce S. | title = Ordering the Heavens: Roman Astrology and Cosmology in the Caroligian Renaissance | place = Leiden / Boston | publisher = Brill | year = 2007 | page = 23 | isbn = 978-90-04-16186-3}}</ref> This investigation paved the way for the later effort of Western scholars to recover and translate ancient Greek texts in philosophy and the sciences.
The scientific work of the period after Charlemagne was not so much concerned with original investigation as it was with the active study and investigation of ancient Roman scientific texts.<ref>{{Citation | last = Eastwood | first = Bruce S. | title = Ordering the Heavens: Roman Astrology and Cosmology in the Caroligian Renaissance | place = Leiden / Boston | publisher = Brill | year = 2007 | page = 23 | isbn = 978-90-04-16186-3}}</ref> This investigation paved the way for the later effort of Western scholars to recover and translate ancient Greek texts in philosophy and the sciences.
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[[Image:Escribano.jpg|thumb|The translation of Greek and Arabic works allowed the full development of [[Christian philosophy]] and the method of [[scholasticism]]]]
[[Image:Escribano.jpg|thumb|The translation of Greek and Arabic works allowed the full development of [[Christian philosophy]] and the method of [[scholasticism]]]]
{{See also|Renaissance of the 12th century|Latin translations of the 12th century|Medieval technology}}
{{See also|Renaissance of the 12th century|Latin translations of the 12th century|Medieval technology}}
By the year 1000 AD, increasing contacts with [[Arab]]s resulting from the [[Reconquista]] and the [[Crusades]], led Europeans to seek ancient learning in [[Greek language|Greek]] and [[Arabic]] manuscripts. During the 800s and 900s, a mass of classical Greek texts had been translated by Muslim scholars into Arabic, followed by a flurry of commentaries and independent works by Islamic thinkers. Beginning around 1050, scholars traveled to Spain and Sicily from throughout Europe to translate Greek and Arabic texts into Latin.
Beginning around the 1050, European scholars built upon their existing knowledge by seeing out ancient learning in [[Greek]] and [[Arabic]] texts which they translated into Latin. They encountered a wide range of classical Greek texts, some of which had earlier been translated into Arabic, accompanied by commentaries and independent works by Islamic thinkers.


[[Gerard of Cremona]] is a good example: an Italian who came to Spain to copy a single text, he stayed on to translate some seventy works.<ref>{{cite book|author=Howard R. Turner|title=Science in Medieval Islam:An Illustrated Introduction|year=1995|publisher=University of Texas Press|isbn=0-292-78149-0|oclc=231712498 36438874 45096955 56601909 59435584 70151037}}</ref> His biography describes how he came to Toledo: "He was trained from childhood at centers of philosophical study and had come to a knowledge of all that was known to the Latins; but for love of the ''[[Almagest]]'', which he could not find at all among the Latins, he went to Toledo; there, seeing the abundance of books in Arabic on every subject and regretting the poverty of the Latins in these things, he learned the Arabic language, in order to be able to translate." <ref>{{cite book | title=A Source Book in Medieval Science | author=Edward Grant | year=1974 | place = Cambridge | publisher=Harvard University Press | isbn = 0-674-82360-5 | page=35}}</ref>
[[Gerard of Cremona]] is a good example: an Italian who came to Spain to copy a single text, he stayed on to translate some seventy works.<ref>{{cite book|author=Howard R. Turner|title=Science in Medieval Islam:An Illustrated Introduction|year=1995|publisher=University of Texas Press|isbn=0-292-78149-0|oclc=231712498 36438874 45096955 56601909 59435584 70151037}}</ref> His biography describes how he came to Toledo: "He was trained from childhood at centers of philosophical study and had come to a knowledge of all that was known to the Latins; but for love of the ''[[Almagest]]'', which he could not find at all among the Latins, he went to Toledo; there, seeing the abundance of books in Arabic on every subject and regretting the poverty of the Latins in these things, he learned the Arabic language, in order to be able to translate." <ref>{{cite book | title=A Source Book in Medieval Science | author=Edward Grant | year=1974 | place = Cambridge | publisher=Harvard University Press | isbn = 0-674-82360-5 | page=35}}</ref>
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This period also saw the birth of [[medieval university|medieval universities]], which benefited materially from the translated texts and provided a new infrastructure for scientific communities. Some of these new universities were registered as an institution of international excellence by the [[Holy Roman Empire]], receiving the title of ''[[Studium Generale]]''. Most of the early ''Studia Generali'' were found in [[Italy]], [[France]], [[England]], and [[Spain]], and these were considered the most prestigious places of learning in [[Europe]]. This list quickly grew as new universities were founded throughout Europe. As early as the 13th century, scholars from a ''Studium Generale'' were encouraged to give lecture courses at other institutes across Europe and to share documents, and this led to the current academic culture seen in modern European universities.
This period also saw the birth of [[medieval university|medieval universities]], which benefited materially from the translated texts and provided a new infrastructure for scientific communities. Some of these new universities were registered as an institution of international excellence by the [[Holy Roman Empire]], receiving the title of ''[[Studium Generale]]''. Most of the early ''Studia Generali'' were found in [[Italy]], [[France]], [[England]], and [[Spain]], and these were considered the most prestigious places of learning in [[Europe]]. This list quickly grew as new universities were founded throughout Europe. As early as the 13th century, scholars from a ''Studium Generale'' were encouraged to give lecture courses at other institutes across Europe and to share documents, and this led to the current academic culture seen in modern European universities.


The rediscovery of the works of [[Aristotle]], alongside the works of medieval Islamic and Jewish philosophers (such as [[Avicenna]], [[Averroes]] and [[Maimonides]]) allowed the full development of the new [[Christian philosophy]] and the method of [[scholasticism]]. By 1200 there were reasonably accurate Latin translations of the main works of Aristotle, [[Plato]], [[Euclid]], [[Ptolemy]], [[Archimedes]], [[Galen]], that is, of all the intellectually crucial ancient authors except [[Thucydides]], and many of the crucial medieval Arabic and Jewish texts, such as the main works of [[Jābir ibn Hayyān]], [[Al-Khwarizmi]], [[Alkindus]], [[Rhazes]], [[Alhazen]], Avicenna, [[Avempace]], Averroes and Maimonides. During the thirteenth century, the [[natural philosophy]] of these texts began to be extended by notable [[Scholastics]] such as [[Robert Grosseteste]], [[Roger Bacon]], [[Albertus Magnus]], and [[Duns Scotus]].
The rediscovery of the works of [[Aristotle]], alongside the works of medieval Islamic and Jewish philosophers (such as [[Avicenna]], [[Averroes]] and [[Maimonides]]) allowed the full development of the new [[Christian philosophy]] and the method of [[scholasticism]]. By 1200 there were reasonably accurate Latin translations of the main works of Aristotle, [[Euclid]], [[Ptolemy]], [[Archimedes]], and [[Galen]], that is, of all the intellectually crucial ancient authors except [[Plato]], and many of the crucial medieval Arabic and Jewish texts, such as the main works of [[Jābir ibn Hayyān]], [[al-Khwarizmi]], [[al-Kindi]], [[Rhazes]], [[Alhazen]], [[Avicenna]], [[Avempace]], [[Averroes]] and [[Maimonides]].<ref>{{Citation | last = Crombie | first = A. C. | author-link = A. C. Crombie | title = Medieval and Early Modern Science | place = Garden City, NY | publisher = Doubleday Anchor Books | year = 1959 | volume = 1 | pages = 33-48}}</ref> During the thirteenth century, [[scholastics]] expanded the [[natural philosophy]] of these texts by commentaries (associated with teaching in the universities) and independent treatises. Notable among these were the works of [[Robert Grosseteste]], [[Roger Bacon]], [[Johannes de Sacrobosco|John of Sacrobosco]], [[Albertus Magnus]], and [[Duns Scotus]].


Scholastics believed in [[empiricism]] and supporting Roman Catholic doctrines through secular study, reason, and logic. The most famous was [[Thomas Aquinas]] (later declared a "[[Doctor of the Church]]"), who led the move away from the [[Platonism|Platonic]] and [[Augustine of Hippo|Augustinian]] and towards [[Aristotelianism]] (although [[natural philosophy]] was not his main concern). Meanwhile, precursors of the modern [[scientific method]] can be seen already in Grosseteste's emphasis on [[mathematics]] as a way to understand nature and in the empirical approach admired by Roger Bacon.
Scholastics believed in [[empiricism]] and supporting Roman Catholic doctrines through secular study, reason, and logic. The most famous was [[Thomas Aquinas]] (later declared a "[[Doctor of the Church]]"), who led the move away from the [[Platonism|Platonic]] and [[Augustine of Hippo|Augustinian]] and towards [[Aristotelianism]] (although [[natural philosophy]] was not his main concern). Meanwhile, precursors of the modern [[scientific method]] can be seen already in Grosseteste's emphasis on [[mathematics]] as a way to understand nature and in the empirical approach admired by Roger Bacon.


Grosseteste was the founder of the famous [[Oxford franciscan school]]. He was the first scholastic to fully understand [[Aristotle|Aristotle's]] vision of the dual path of scientific reasoning. Concluding from particular observations into a universal law, and then back again: from universal laws to prediction of particulars. Grosseteste called this "resolution and composition". Further, Grosseteste said that both paths should be verified through experimentation in order to verify the principals. These ideas established a tradition that carried forward to [[Padua]] and [[Galileo Galilei]] in the 17th century.
Grosseteste was the founder of the famous [[Oxford franciscan school]]. He built his work on [[Aristotle|Aristotle's]] vision of the dual path of scientific reasoning. Concluding from particular observations into a universal law, and then back again: from universal laws to prediction of particulars. Grosseteste called this "resolution and composition". Further, Grosseteste said that both paths should be verified through experimentation in order to verify the principals. These ideas established a tradition that carried forward to [[Padua]] and [[Galileo Galilei]] in the 17th century.
[[Image:Grosseteste-optics.jpg|thumb|350px|[[History of optics|Optical]] diagram showing light being refracted by a spherical glass container full of water. (from Roger Bacon or Robert Grosseteste)]]
[[Image:Grosseteste-optics.jpg|thumb|350px|[[History of optics|Optical]] diagram showing light being refracted by a spherical glass container full of water. (from Roger Bacon or Robert Grosseteste)]]


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The first half of the 14th century saw the scientific work of great thinkers. The [[logic]] studies by [[William of Ockham|William of Occam]] led him to postulate a specific formulation of the principle of [[parsimony]], known today as [[Occam's Razor]]. This principle is one of the main heuristics used by modern science to select between two or more [[underdetermination|underdetermined]] theories.
The first half of the 14th century saw the scientific work of great thinkers. The [[logic]] studies by [[William of Ockham|William of Occam]] led him to postulate a specific formulation of the principle of [[parsimony]], known today as [[Occam's Razor]]. This principle is one of the main heuristics used by modern science to select between two or more [[underdetermination|underdetermined]] theories.


As Western scholars became more aware (and more accepting) of controversial scientific treatises of the Byzantine and Islamic Empires these readings sparked new insights and speculation. The works of the early Byzantine scholar [[John Philoponus]] inspired Western scholars such as [[Jean Buridan]] to question the received wisdom of [[Aristotle]]'s mechanics. Buridan developed the theory of [[impetus]] which was the first step towards the modern concept of [[inertia]]. Buridan anticipated [[Isaac Newton]] when he wrote:
As Western scholars became more aware (and more accepting) of controversial scientific treatises of the Byzantine and Islamic Empires these readings sparked new insights and speculation. The works of the early Byzantine scholar [[John Philoponus]] inspired Western scholars such as [[Jean Buridan]] to question the received wisdom of [[Aristotle]]'s mechanics. Buridan developed the theory of [[impetus]] which was a step towards the modern concept of [[inertia]]. Buridan anticipated [[Isaac Newton]] when he wrote:
[[Image:Galileo-1638-173.jpg|thumb|left|[[Galileo]]'s demonstration of the law of the space traversed in case of uniformly varied motion. It's the same demonstration that [[Oresme]] had made centuries earlier.]]
[[Image:Galileo-1638-173.jpg|thumb|left|[[Galileo]]'s demonstration of the law of the space traversed in case of uniformly varied motion. It's the same demonstration that [[Oresme]] had made centuries earlier.]]


:''...after leaving the arm of the thrower, the projectile would be moved by an impetus given to it by the thrower and would continue to be moved as long as the impetus remained stronger than the resistance, and would be of infinite duration were it not diminished and corrupted by a contrary force resisting it or by something inclining it to a contrary motion''
:''...after leaving the arm of the thrower, the projectile would be moved by an impetus given to it by the thrower and would continue to be moved as long as the impetus remained stronger than the resistance, and would be of infinite duration were it not diminished and corrupted by a contrary force resisting it or by something inclining it to a contrary motion''


[[Thomas Bradwardine]] and his partners, the [[Oxford Calculators]] of [[Merton College, Oxford]], distinguished [[kinematics]] from [[dynamics (mechanics)|dynamics]], emphasizing kinematics, and investigating instantaneous velocity. They first formulated the [[mean speed theorem]]: ''a body moving with constant velocity travels distance and time equal to an accelerated body whose velocity is half the final speed of the accelerated body''. They also demonstrated this theorem—essence of "The Law of Falling Bodies" -- long before [[Galileo Galilei|Galileo]] is credited with this.
[[Thomas Bradwardine]] and his partners, the [[Oxford Calculators]] of [[Merton College, Oxford]], distinguished [[kinematics]] from [[dynamics (mechanics)|dynamics]], emphasizing kinematics, and investigating instantaneous velocity. They formulated the mean speed theorem: ''a body moving with constant velocity travels distance and time equal to an accelerated body whose velocity is half the final speed of the accelerated body''. They also demonstrated this theorem—essence of "The Law of Falling Bodies" -- long before [[Galileo Galilei|Galileo]] is credited with this.


In his turn, [[Nicole Oresme]] showed that the reasons proposed by the physics of Aristotle against the movement of the earth were not valid and adduced the argument of simplicity for the theory that the earth moves, and ''not'' the heavens. In the whole of his argument in favor of the Earth's motion Oresme is both more explicit and much clearer than that given two centuries latter by [[Copernicus]]. He was also the first to assume that color and light are of the same nature and the discoverer of the curvature of light through [[atmospheric refraction]]; even though, up to now, the credit for this latter achievement has been given to [[Hooke]].
In his turn, [[Nicole Oresme]] showed that the reasons proposed by the physics of Aristotle against the movement of the earth were not valid and adduced the argument of simplicity for the theory that the earth moves, and ''not'' the heavens. Despite this argument in favor of the Earth's motion Oresme, fell back on the commonly held opinion that "everyone maintains, and I think myself, that the heavens do move and not the earth."<ref>{{Citation
|author= Nicole Oresme |authorlink= Nicole Oresme |editor1-last= Menut |editor1-first= Albert D. |editor2-last= Denomy |editor1-first= Alexander J. |title= Le Livre du ciel et du monde |year= 1968 |publisher= University of Wisconsin Press |location= Madison |pages= 536-7 }}</ref>


The historian of science [[Ronald Numbers]] notes that the modern scientific assumption of [[methodological naturalism]] can be also traced back to the work of these medieval thinkers:
The historian of science [[Ronald Numbers]] notes that the modern scientific assumption of [[methodological naturalism]] can be also traced back to the work of these medieval thinkers:
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==Byzantine world==
==Byzantine world==
{{Duplication}}
{{Main|Byzantine science}}
{{Main|Byzantine science}}
[[Byzantine Empire|Byzantine]] science played an important role in the transmission of [[classical antiquity|classical knowledge]] to the [[Islamic Golden Age|Islamic world]] and to [[Renaissance Italy]], and also in the transmission of medieval [[Islamic science|Arabic knowledge]] to Renaissance Italy.<ref name=Saliba>{{cite web|author=[[George Saliba]]|title=Islamic Science and the Making of Renaissance Europe|date=April 27, 2006|url=http://www.loc.gov/today/cyberlc/feature_wdesc.php?rec=3883|accessdate=2008-03-01}}</ref> Its rich historiographical tradition preserved ancient knowledge upon which splendid [[art]], [[architecture]], [[literature]] and technological achievements were built.
[[Byzantine Empire|Byzantine]] science played an important role in the transmission of [[classical antiquity|classical knowledge]] to the [[Islamic Golden Age|Islamic world]] and to [[Renaissance Italy]], and also in the transmission of medieval [[Islamic science|Arabic knowledge]] to Renaissance Italy.<ref name=Saliba>{{cite web|author=[[George Saliba]]|title=Islamic Science and the Making of Renaissance Europe|date=April 27, 2006|url=http://www.loc.gov/today/cyberlc/feature_wdesc.php?rec=3883|accessdate=2008-03-01}}</ref> Its rich historiographical tradition preserved ancient knowledge upon which splendid [[art]], [[architecture]], [[literature]] and technological achievements were built.
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Muslim [[chemist]]s and [[Alchemy (Islam)|alchemists]] played an important role in the foundation of modern [[chemistry]]. Scholars such as [[Will Durant]] and [[Alexander von Humboldt]] regard Muslim chemists to be founders of chemistry,<ref name=Durant>[[Will Durant]] (1980). ''The Age of Faith ([[The Story of Civilization]], Volume 4)'', p. 162–186. Simon & Schuster. ISBN 0671012002.</ref><ref name=Ajram>Dr. Kasem Ajram (1992). ''Miracle of Islamic Science'', Appendix B. Knowledge House Publishers. ISBN 0911119434.</ref> particularly [[Jābir ibn Hayyān]], who was a pioneer of chemistry,<ref>{{Cite journal|first=Zygmunt S.|last=Derewenda|year=2007|title=On wine, chirality and crystallography|journal=Acta Crystallographica Section A: Foundations of Crystallography|volume=64|pages=246–258 [247]|doi=10.1107/S0108767307054293|pmid=18156689|issue=Pt 1|ref=harv|postscript=<!--None-->}}</ref><ref>John Warren (2005). "War and the Cultural Heritage of Iraq: a sadly mismanaged affair", ''Third World Quarterly'', Volume 26, Issue 4 & 5, p. 815–830.</ref> for introducing an early [[experiment]]al [[scientific method]] within the field, as well as the [[alembic]], [[still]], [[retort]],<ref name=Vallely/> and the [[chemical process]]es of pure [[distillation]], [[filtration]], [[sublimation (chemistry)|sublimation]],<ref>[[Robert Briffault]] (1938). ''The Making of Humanity'', p. 195.</ref> [[liquefaction]], [[crystallisation]], [[purification]], [[oxidisation]] and [[evaporation]].<ref name=Vallely>Paul Vallely, [http://findarticles.com/p/articles/mi_qn4158/is_20060311/ai_n16147544 How Islamic Inventors Changed the World], ''[[The Independent]]'', 11 March 2006.</ref>
Muslim [[chemist]]s and [[Alchemy (Islam)|alchemists]] played an important role in the foundation of modern [[chemistry]]. Scholars such as [[Will Durant]] and [[Alexander von Humboldt]] regard Muslim chemists to be founders of chemistry,<ref name=Durant>[[Will Durant]] (1980). ''The Age of Faith ([[The Story of Civilization]], Volume 4)'', p. 162–186. Simon & Schuster. ISBN 0671012002.</ref><ref name=Ajram>Dr. Kasem Ajram (1992). ''Miracle of Islamic Science'', Appendix B. Knowledge House Publishers. ISBN 0911119434.</ref> particularly [[Jābir ibn Hayyān]], who was a pioneer of chemistry,<ref>{{Cite journal|first=Zygmunt S.|last=Derewenda|year=2007|title=On wine, chirality and crystallography|journal=Acta Crystallographica Section A: Foundations of Crystallography|volume=64|pages=246–258 [247]|doi=10.1107/S0108767307054293|pmid=18156689|issue=Pt 1|ref=harv|postscript=<!--None-->}}</ref><ref>John Warren (2005). "War and the Cultural Heritage of Iraq: a sadly mismanaged affair", ''Third World Quarterly'', Volume 26, Issue 4 & 5, p. 815–830.</ref> for introducing an early [[experiment]]al [[scientific method]] within the field, as well as the [[alembic]], [[still]], [[retort]],<ref name=Vallely/> and the [[chemical process]]es of pure [[distillation]], [[filtration]], [[sublimation (chemistry)|sublimation]],<ref>[[Robert Briffault]] (1938). ''The Making of Humanity'', p. 195.</ref> [[liquefaction]], [[crystallisation]], [[purification]], [[oxidisation]] and [[evaporation]].<ref name=Vallely>Paul Vallely, [http://findarticles.com/p/articles/mi_qn4158/is_20060311/ai_n16147544 How Islamic Inventors Changed the World], ''[[The Independent]]'', 11 March 2006.</ref>


The study of traditional [[alchemy]] and the theory of the [[Philosopher's stone|transmutation of metals]] were first refuted by [[al-Kindi]],<ref>Felix Klein-Frank (2001), "Al-Kindi", in [[Oliver Leaman]] & [[Hossein Nasr]], ''History of Islamic Philosophy'', p. 174. London: [[Routledge]].</ref> followed by [[Abū Rayhān al-Bīrūnī]],<ref>Michael E. Marmura (1965). "''An Introduction to Islamic Cosmological Doctrines. Conceptions of Nature and Methods Used for Its Study by the Ikhwan Al-Safa'an, Al-Biruni, and Ibn Sina'' by Seyyed [[Hossein Nasr]]", ''Speculum'' '''40''' (4), p. 744–746.</ref> [[Avicenna]],<ref>[[Robert Briffault]] (1938). ''The Making of Humanity'', p. 196–197.</ref> and [[Ibn Khaldun]]. [[Nasīr al-Dīn al-Tūsī]] described a version of the concept of [[conservation of mass]], noting that a body of [[matter]] is able to change, but is not able to disappear.<ref>Farid Alakbarov (Summer 2001). [http://azer.com/aiweb/categories/magazine/92_folder/92_articles/92_tusi.html A 13th-Century Darwin? Tusi's Views on Evolution], ''Azerbaijan International'' '''9''' (2).</ref>
The study of traditional [[alchemy]] and the theory of the [[Philosopher's stone|transmutation of metals]] were refuted by [[al-Kindi]],<ref>Felix Klein-Frank (2001), "Al-Kindi", in [[Oliver Leaman]] & [[Hossein Nasr]], ''History of Islamic Philosophy'', p. 174. London: [[Routledge]].</ref> followed by [[Abū Rayhān al-Bīrūnī]],<ref>Michael E. Marmura (1965). "''An Introduction to Islamic Cosmological Doctrines. Conceptions of Nature and Methods Used for Its Study by the Ikhwan Al-Safa'an, Al-Biruni, and Ibn Sina'' by Seyyed [[Hossein Nasr]]", ''Speculum'' '''40''' (4), p. 744–746.</ref> [[Avicenna]],<ref>[[Robert Briffault]] (1938). ''The Making of Humanity'', p. 196–197.</ref> and [[Ibn Khaldun]]. [[Nasīr al-Dīn al-Tūsī]] described a version of the concept of [[conservation of mass]], noting that a body of [[matter]] is able to change, but is not able to disappear.<ref>Farid Alakbarov (Summer 2001). [http://azer.com/aiweb/categories/magazine/92_folder/92_articles/92_tusi.html A 13th-Century Darwin? Tusi's Views on Evolution], ''Azerbaijan International'' '''9''' (2).</ref>


===Applied sciences===
===Applied sciences===
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{{See also|Maragheh observatory}}
{{See also|Maragheh observatory}}


In [[astronomy]], [[Al-Battani]] improved the measurements of [[Hipparchus]], preserved in the translation of the Greek ''Hè Megalè Syntaxis'' (''The great treatise'') translated as ''[[Almagest]]''. Al-Battani also improved the precision of the measurement of the precession of the Earth's axis. Astronomical instruments such as the universal latitude-independent [[astrolabe]] and the [[equatorium]] were developed by [[al-Zarqālī]].<ref name="books.google.com">Houtsma, M. Th.; Donzel, E. van: ''[http://books.google.com/books?id=GEl6N2tQeawC E. J. Brill's First Encyclopaedia of Islam]'', BRILL, 1993, ISBN 9004082654</ref> [[Al-Biruni]] was the first to conduct elaborate [[experiment]]s related to astronomical phenomena.<ref name=Biruni>{{MacTutor|id=Al-Biruni|title=Al-Biruni}}</ref><ref name=Zahoor>Dr. A. Zahoor (1997), [http://www.unhas.ac.id/~rhiza/saintis/biruni.html Abu Raihan Muhammad al-Biruni], [[Hasanuddin University]].</ref> [[Ibn al-Shatir]] produced the first model of [[Moon|lunar]] motion which matched experimental observations, as well as the first [[Sun|solar]] model to eliminate epicycles in order to match observations.<ref name=Saliba-1994>[[George Saliba]] (1994), ''A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam'', pp. 233–4 & 240, [[New York University Press]], ISBN 0814780237</ref> This and other developments in planetary models by Al-Battani, [[Averroes]], and [[Maragheh observatory|Maragha astronomers]] such as [[Nasir al-Din al-Tusi]] ([[Tusi-couple]]) and [[Mo'ayyeduddin Urdi]] (Urdi lemma) are believed to have been used by the [[Renaissance]] astronomer [[Copernicus]] in his [[Copernican heliocentrism|heliocentric model]].<ref name=Saliba-2007/> The [[Earth's rotation]] and [[heliocentrism]] were also discussed by several Muslim astronomers such as [[Biruni]], [[Al-Sijzi]] and [[Qutb al-Din al-Shirazi]],<ref>Seyyed [[Hossein Nasr]] (1964), ''An Introduction to Islamic Cosmological Doctrines,'' (Cambridge: Belknap Press of the Harvard University Press), p. 135–136</ref> while the first empirical [[observation]]al evidence of the Earth's rotation was given by [[Nasīr al-Dīn al-Tūsī]] and [[Ali al-Qushji]], and [[al-Birjandi]] developed an early hypothesis on "circular [[inertia]]."<ref name=Ragep>F. Jamil Ragep (2001), "Tusi and Copernicus: The Earth's Motion in Context", ''Science in Context'' '''14''' (1-2), p. 145–163. [[Cambridge University Press]].</ref> [[Natural philosophy]] was also separated from astronomy by [[Alhazen]], Ibn al-Shatir,<ref>Roshdi Rashed (2007). "The Celestial Kinematics of Ibn al-Haytham", ''Arabic Sciences and Philosophy'' '''17''', p. 7–55. [[Cambridge University Press]].</ref> and al-Qushji.<ref name=Ragep/>
In [[astronomy]], [[Al-Battani]] improved the measurements of [[Hipparchus]], preserved in the translation of the Greek ''Hè Megalè Syntaxis'' (''The great treatise'') translated as ''[[Almagest]]''. Al-Battani also improved the precision of the measurement of the precession of the Earth's axis. Astronomical instruments such as the universal latitude-independent [[astrolabe]] and the [[equatorium]] were developed by [[al-Zarqālī]]. [[Al-Biruni]] conducted elaborate [[experiment]]s related to astronomical phenomena.<ref name=Biruni>{{MacTutor|id=Al-Biruni|title=Al-Biruni}}</ref><ref name=Zahoor>Dr. A. Zahoor (1997), [http://www.unhas.ac.id/~rhiza/saintis/biruni.html Abu Raihan Muhammad al-Biruni], [[Hasanuddin University]].</ref> [[Ibn al-Shatir]] produced a model of [[Moon|lunar]] motion which matched observations of the moon's apparent diameter, as well as a [[Sun|solar]] model which eliminated epicycles in order to match observations.<ref name=Saliba-1994>[[George Saliba]] (1994), ''A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam'', pp. 233–4 & 240, [[New York University Press]], ISBN 0814780237</ref> This and other developments in planetary models by Al-Battani, [[Averroes]], and [[Maragheh observatory|Maragha astronomers]] such as [[Nasir al-Din al-Tusi]] ([[Tusi-couple]]) and [[Mo'ayyeduddin Urdi]] (Urdi lemma) are believed to have been used by the [[Renaissance]] astronomer [[Copernicus]] in his [[Copernican heliocentrism|heliocentric model]].<ref name=Saliba-2007>[[George Saliba]] (2007), [http://youtube.com/watch?v=GfissgPCgfM Lecture at SOAS, London - Part 4/7] and [http://youtube.com/watch?v=0VMBRAd6YBU Lecture at SOAS, London - Part 5/7]</ref> The [[Earth's rotation]] and [[heliocentrism]] were also discussed by several Muslim astronomers such as [[Biruni]], [[Al-Sijzi]] and [[Qutb al-Din al-Shirazi]],<ref>Seyyed [[Hossein Nasr]] (1964), ''An Introduction to Islamic Cosmological Doctrines,'' (Cambridge: Belknap Press of the Harvard University Press), p. 135–136</ref> while [[Nasīr al-Dīn al-Tūsī]] criticized Ptolemy's claim that [[observation]]al evidence disproved the earth's possible rotation and [[al-Birjandi]] developed an early hypothesis on "circular [[inertia]]."<ref name=Ragep>F. Jamil Ragep (2001), "Tusi and Copernicus: The Earth's Motion in Context", ''Science in Context'' '''14''' (1-2), p. 145–163. [[Cambridge University Press]].</ref> [[Natural philosophy]] was also separated from astronomy by [[Alhazen]], Ibn al-Shatir,<ref>Roshdi Rashed (2007). "The Celestial Kinematics of Ibn al-Haytham", ''Arabic Sciences and Philosophy'' '''17''', p. 7–55. [[Cambridge University Press]].</ref> and al-Qushji.<ref name=Ragep/>


In [[Islamic mathematics|mathematics]], [[Al-Khwarizmi]] gave his name to the concept of the [[algorithm]], while the term [[algebra]] is derived from his publication ''[[The Compendious Book on Calculation by Completion and Balancing|Al-Jabr]]''. He was the first to recognize algebra as a distinct field of mathematics.<ref name=Gandz>Solomon Gandz (1936), ''The sources of al-Khwarizmi's algebra'', Osiris '''I''', p. 263–277: "In a sense, Khwarizmi is more entitled to be called "the father of algebra" than Diophantus because Khwarizmi is the first to teach algebra in an elementary form and for its own sake, Diophantus is primarily concerned with the theory of numbers."</ref><ref>Serish Nanisetti, [http://www.hindu.com/yw/2006/06/23/stories/2006062301070600.htm Father of algorithms and algebra], ''[[The Hindu]]'', June 23, 2006.</ref> What is now known as [[Arabic numerals]] originally came from India, but Muslim mathematicians made several refinements to the number system, such as the introduction of [[decimal separator|decimal point]] notation. Other achievements of medieval Muslim mathematicians included the development of [[spherical trigonometry]],<ref name=Syed>{{cite book |last=Syed |first=M. H. |title=Islam and Science |year=2005 |publisher=Anmol Publications PVT. LTD. |isbn=8-1261-1345-6 |oclc=52533755 |page=71}}</ref> the discovery of all the [[trigonometric function]]s besides sine, [[al-Kindi]]'s introduction of [[cryptanalysis]] and [[frequency analysis]],<ref>Simon Singh, ''The Code Book'', p. 14–20.</ref> [[al-Karaji]]'s introduction of algebraic [[calculus]]<ref>F. Woepcke (1853). ''Extrait du Fakhri, traité d'Algèbre par Abou Bekr Mohammed Ben Alhacan Alkarkhi''. [[Paris]].</ref> and [[Mathematical proof|proof]] by [[mathematical induction]],<ref>Victor J. Katz (1998). ''History of Mathematics: An Introduction'', p. 255–259. [[Addison-Wesley]]. ISBN 0321016181.</ref> the development of [[analytic geometry]] and the earliest general formula for [[infinitesimal]] and [[integral]] calculus by [[Ibn al-Haytham]],<ref>Victor J. Katz (1995). "Ideas of Calculus in Islam and India", ''Mathematics Magazine'' '''68''' (3), p. 163–174.</ref> the beginning of [[algebraic geometry]] by [[Omar Khayyam]],<ref>R. Rashed (1994). ''The development of Arabic mathematics: between arithmetic and algebra''. [[London]].</ref><ref>{{MacTutor|class=HistTopics|id=Arabic_mathematics|title=Arabic mathematics: forgotten brilliance?|year=1999}}</ref> the first refutations of [[Euclidean geometry]] and the [[parallel postulate]] by [[Nasīr al-Dīn al-Tūsī]] and the first attempt at a [[non-Euclidean geometry]] by Sadr al-Din,<ref name=Katz>Victor J. Katz (1998), ''History of Mathematics: An Introduction'', p. 270–271, [[Addison-Wesley]], ISBN 0321016181</ref> and the development of [[Mathematical notation|symbolic algebra]] by [[Abū al-Hasan ibn Alī al-Qalasādī]].<ref>{{MacTutor Biography|id=Al-Qalasadi|title= Abu'l Hasan ibn Ali al Qalasadi}}</ref>
In [[Islamic mathematics|mathematics]], [[Al-Khwarizmi]] gave his name to the concept of the [[algorithm]], while the term [[algebra]] is derived from his publication ''[[The Compendious Book on Calculation by Completion and Balancing|Al-Jabr]]''. He recognized algebra as a distinct field of mathematics.<ref name=Gandz>Solomon Gandz (1936), ''The sources of al-Khwarizmi's algebra'', Osiris '''I''', p. 263–277: "In a sense, Khwarizmi is more entitled to be called "the father of algebra" than Diophantus because Khwarizmi is the first to teach algebra in an elementary form and for its own sake, Diophantus is primarily concerned with the theory of numbers."</ref><ref>Serish Nanisetti, [http://www.hindu.com/yw/2006/06/23/stories/2006062301070600.htm Father of algorithms and algebra], ''[[The Hindu]]'', June 23, 2006.</ref> What is now known as [[Arabic numerals]] originally came from India, but Muslim mathematicians made several refinements to the number system, such as the introduction of [[decimal separator|decimal point]] notation. Other achievements of medieval Muslim mathematicians included the development of [[spherical trigonometry]],<ref name=Syed>{{cite book |last=Syed |first=M. H. |title=Islam and Science |year=2005 |publisher=Anmol Publications PVT. LTD. |isbn=8-1261-1345-6 |oclc=52533755 |page=71}}</ref> the discovery of all the [[trigonometric function]]s besides sine, [[al-Kindi]]'s introduction of [[cryptanalysis]] and [[frequency analysis]],<ref>Simon Singh, ''The Code Book'', p. 14–20.</ref> [[al-Karaji]]'s introduction of algebraic [[calculus]]<ref>F. Woepcke (1853). ''Extrait du Fakhri, traité d'Algèbre par Abou Bekr Mohammed Ben Alhacan Alkarkhi''. [[Paris]].</ref> and [[Mathematical proof|proof]] by [[mathematical induction]],<ref>Victor J. Katz (1998). ''History of Mathematics: An Introduction'', p. 255–259. [[Addison-Wesley]]. ISBN 0321016181.</ref> the development of [[analytic geometry]] and a general formula for [[infinitesimal]] and [[integral]] calculus by [[Ibn al-Haytham]],<ref>Victor J. Katz (1995). "Ideas of Calculus in Islam and India", ''Mathematics Magazine'' '''68''' (3), p. 163–174.</ref> the beginning of [[algebraic geometry]] by [[Omar Khayyam]],<ref>R. Rashed (1994). ''The development of Arabic mathematics: between arithmetic and algebra''. [[London]].</ref><ref>{{MacTutor|class=HistTopics|id=Arabic_mathematics|title=Arabic mathematics: forgotten brilliance?|year=1999}}</ref> refutations of [[Euclidean geometry]] and the [[parallel postulate]] by [[Nasīr al-Dīn al-Tūsī]] and an attempt at a [[non-Euclidean geometry]] by Sadr al-Din,<ref name=Katz>Victor J. Katz (1998), ''History of Mathematics: An Introduction'', p. 270–271, [[Addison-Wesley]], ISBN 0321016181</ref> and the development of [[Mathematical notation|symbolic algebra]] by [[Abū al-Hasan ibn Alī al-Qalasādī]].<ref>{{MacTutor Biography|id=Al-Qalasadi|title= Abu'l Hasan ibn Ali al Qalasadi}}</ref>


===Earth sciences===
===Earth sciences===
{{Main|Islamic geography|Muslim Agricultural Revolution}}
{{Main|Islamic geography|Muslim Agricultural Revolution}}


Muslim scientists made a number of contributions to the [[Earth science]]s. [[Alkindus]] was the first to introduce [[experiment]]ation into the Earth sciences.<ref name=Plinio>Plinio Prioreschi, "Al-Kindi, A Precursor Of The Scientific Revolution", ''Journal of the International Society for the History of Islamic Medicine'', 2002 (2): 17–19.</ref>{{Failed verification|date=February 2010}} About 900, [[Al-Battani]] improved the [[Accuracy and precision|precision]] of the measurement of the [[precession]] of the Earth's axis, thus continuing a millennium's legacy of [[measurements]] in his own land ([[Babylonia]] and [[Chaldea]]- the area now known as [[Iraq]]). [[Biruni]] is considered a pioneer of [[geodesy]] for his important contributions to the field.<ref name=Ahmed>Akbar S. Ahmed (1984). "Al-Beruni: The First Anthropologist", ''RAIN'' '''60''', p. 9–10.</ref><ref name="Mowlana"/> [[Avicenna]] hypothesized on two causes of [[mountain]]s in ''[[The Book of Healing]]''. In [[cartography]], the [[Piri Reis map]] drawn by the [[Ottoman Empire|Ottoman]] cartographer [[Piri Reis]] in 1513, was one of the earliest [[world map]]s to include the [[Americas]], and perhaps the first to include [[Antarctica]]. His map of the world was considered the most accurate in the 16th century.
Muslim scientists made a number of contributions to the [[Earth science]]s. [[Alkindus]] introduced [[experiment]]ation into the Earth sciences.<ref name=Plinio>Plinio Prioreschi, "Al-Kindi, A Precursor Of The Scientific Revolution", ''Journal of the International Society for the History of Islamic Medicine'', 2002 (2): 17–19.</ref>{{Failed verification|date=February 2010}} About 900, [[Al-Battani]] improved the [[Accuracy and precision|precision]] of the measurement of the [[precession]] of the Earth's axis, thus continuing a millennium's legacy of [[measurements]] in his own land ([[Babylonia]] and [[Chaldea]]- the area now known as [[Iraq]]). [[Biruni]] is considered a pioneer of [[geodesy]] for his important contributions to the field.<ref name=Ahmed>Akbar S. Ahmed (1984). "Al-Beruni: The First Anthropologist", ''RAIN'' '''60''', p. 9–10.</ref><ref name="Mowlana"/> [[Avicenna]] hypothesized on two causes of [[mountain]]s in ''[[The Book of Healing]]''. In [[cartography]], the [[Piri Reis map]] drawn by the [[Ottoman Empire|Ottoman]] cartographer [[Piri Reis]] in 1513, was one of the earliest [[world map]]s to include the [[Americas]], and perhaps, [[Antarctica]]. His map of the world was considered the most accurate in the 16th century.


The earliest known treatises dealing with [[environmentalism]] and [[environmental science]], especially [[pollution]], were Arabic treatises written by [[al-Kindi]], [[al-Razi]], [[Ibn Al-Jazzar]], [[al-Tamimi]], [[al-Masihi]], [[Avicenna]], [[Ali ibn Ridwan]], [[Abd-el-latif]], and [[Ibn al-Nafis]]. Their works covered a number of subjects related to pollution such as [[air pollution]], [[water pollution]], [[soil contamination]], [[municipal solid waste]] mishandling, and [[environmental impact assessment]]s of certain localities.<ref>L. Gari (2002), "Arabic Treatises on Environmental Pollution up to the End of the Thirteenth Century", ''Environment and History'' '''8''' (4), pp. 475–488.</ref>
The earliest known treatises dealing with [[environmentalism]] and [[environmental science]], especially [[pollution]], were Arabic treatises written by [[al-Kindi]], [[al-Razi]], [[Ibn Al-Jazzar]], [[al-Tamimi]], [[al-Masihi]], [[Avicenna]], [[Ali ibn Ridwan]], [[Abd-el-latif]], and [[Ibn al-Nafis]]. Their works covered a number of subjects related to pollution such as [[air pollution]], [[water pollution]], [[soil contamination]], [[municipal solid waste]] mishandling, and [[environmental impact assessment]]s of certain localities.<ref>L. Gari (2002), "Arabic Treatises on Environmental Pollution up to the End of the Thirteenth Century", ''Environment and History'' '''8''' (4), pp. 475–488.</ref>
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{{Main|Islamic medicine}}
{{Main|Islamic medicine}}
{{See also|Ophthalmology in medieval Islam|Bimaristan}}
{{See also|Ophthalmology in medieval Islam|Bimaristan}}
Muslim [[physician]]s made a number of significant contributions to [[medicine]]. They set up the earliest dedicated [[hospital]]s in the modern sense of the word,<ref name=Sarton>[[George Sarton]], ''Introduction to the History of Science''.<br />([[cf.]] Dr. A. Zahoor and Dr. Z. Haq (1997), [http://www.cyberistan.org/islamic/Introl1.html Quotations From Famous Historians of Science], Cyberistan.</ref> including the first [[psychiatric hospital]]s<ref>{{Cite journal |first1=Hanafy A. |last1=Youssef |first2=Fatma A. |last2=Youssef |first3=T. R. |last3=Dening |year=1996 |title=Evidence for the existence of schizophrenia in medieval Islamic society |journal=History of Psychiatry |volume=7 |pages=55–62 [57] |doi=10.1177/0957154X9600702503 |ref=harv |postscript=<!--None-->}}</ref> and the first [[medical school]]s which issued [[diploma]]s to students qualified to become [[doctors of medicine]].<ref name=Glubb>{{Cite web|last=Sir Glubb|first=John Bagot|author-link=John Bagot Glubb|year=1969|title=A Short History of the Arab Peoples|url=http://www.cyberistan.org/islamic/quote2.html#glubb|accessdate=2008-01-25|ref=harv|postscript=<!--None-->}}</ref>
Muslim [[physician]]s made a number of significant contributions to [[medicine]]. They set up the earliest dedicated [[hospital]]s in the modern sense of the word,<ref name=Sarton>[[George Sarton]], ''Introduction to the History of Science''.<br />([[cf.]] Dr. A. Zahoor and Dr. Z. Haq (1997), [http://www.cyberistan.org/islamic/Introl1.html Quotations From Famous Historians of Science], Cyberistan.</ref> including [[psychiatric hospital]]s<ref>{{Cite journal |first1=Hanafy A. |last1=Youssef |first2=Fatma A. |last2=Youssef |first3=T. R. |last3=Dening |year=1996 |title=Evidence for the existence of schizophrenia in medieval Islamic society |journal=History of Psychiatry |volume=7 |pages=55–62 [57] |doi=10.1177/0957154X9600702503 |ref=harv |postscript=<!--None-->}}</ref> and [[medical school]]s which issued [[diploma]]s to students qualified to become [[doctors of medicine]].<ref name=Glubb>{{Cite web|last=Sir Glubb|first=John Bagot|author-link=John Bagot Glubb|year=1969|title=A Short History of the Arab Peoples|url=http://www.cyberistan.org/islamic/quote2.html#glubb|accessdate=2008-01-25|ref=harv|postscript=<!--None-->}}</ref>


[[Al-Kindi]] wrote the ''[[De Gradibus]]'', in which he first demonstrated the application of [[quantification]] and mathematics to medicine and pharmacology, such as a mathematical scale to quantify the strength of [[drug]]s and the determination in advance of the most critical days of a patient's illness.<ref>Felix Klein-Frank (2001), ''Al-Kindi'', in [[Oliver Leaman]] and [[Hossein Nasr]], ''History of Islamic Philosophy'', p. 172. [[Routledge]], London.</ref> [[Abu al-Qasim]] (Abulcasis) helped lay the foudations for modern [[surgery]],<ref name="A. Martin-Araguz, C. Bustamante-Martinez 2002 p. 877">A. Martin-Araguz, C. Bustamante-Martinez, Ajo V. Fernandez-Armayor, J. M. Moreno-Martinez (2002). "Neuroscience in al-Andalus and its influence on medieval scholastic medicine", ''Revista de neurología'' '''34''' (9), p. 877–892.</ref> with his ''Kitab [[al-Tasrif]]'', in which he invented numerous [[surgical instruments]].<ref name=Saad>Bashar Saad, Hassan Azaizeh, Omar Said (October 2005). "Tradition and Perspectives of Arab Herbal Medicine: A Review", ''Evidence-based Complementary and Alternative Medicine'' '''2''' (4), p. 475–479 [476]. [[Oxford University Press]].</ref> [[Avicenna]] helped lay the foundations for modern [[medicine]],<ref name="Cas Lek Cesk 1980 p. 17">Cas Lek Cesk (1980). "The father of medicine, Avicenna, in our science and culture: Abu Ali ibn Sina (980–1037)", ''Becka J.'' '''119''' (1), p. 17–23.</ref> with ''[[The Canon of Medicine]]'', which was responsible for the introduction of [[experimental medicine]],<ref>{{Cite journal|journal=European Review|year=2008|volume=16|pages=219–27|publisher=[[Cambridge University Press]]|title=Islamic Pharmacology in the Middle Ages: Theories and Substances|first=Danielle|last=Jacquart|doi=10.1017/S1062798708000215|ref=harv|postscript=<!--None-->}}</ref> [[clinical trial]]s,<ref>David W. Tschanz, MSPH, PhD (August 2003). "Arab Roots of European Medicine", ''Heart Views'' '''4''' (2).</ref> [[randomized controlled trial]]s,<ref>Jonathan D. Eldredge (2003), "The Randomised Controlled Trial design: unrecognized opportunities for health sciences librarianship", ''Health Information and Libraries Journal'' '''20''', p. 34–44 [36].</ref><ref>Bernard S. Bloom, Aurelia Retbi, Sandrine Dahan, Egon Jonsson (2000), "Evaluation Of Randomized Controlled Trials On Complementary And Alternative Medicine", ''International Journal of Technology Assessment in Health Care'' '''16''' (1), p. 13–21 [19].</ref>
[[Al-Kindi]] wrote the ''[[De Gradibus]]'', in which he demonstrated the application of [[quantification]] and mathematics to medicine and pharmacology, such as a mathematical scale to quantify the strength of [[drug]]s and the determination in advance of the most critical days of a patient's illness.<ref>Felix Klein-Frank (2001), ''Al-Kindi'', in [[Oliver Leaman]] and [[Hossein Nasr]], ''History of Islamic Philosophy'', p. 172. [[Routledge]], London.</ref> [[Abu al-Qasim]] (Abulcasis) helped lay the foudations for modern [[surgery]],<ref name="A. Martin-Araguz, C. Bustamante-Martinez 2002 p. 877">A. Martin-Araguz, C. Bustamante-Martinez, Ajo V. Fernandez-Armayor, J. M. Moreno-Martinez (2002). "Neuroscience in al-Andalus and its influence on medieval scholastic medicine", ''Revista de neurología'' '''34''' (9), p. 877–892.</ref> with his ''Kitab [[al-Tasrif]]'', in which he invented numerous [[surgical instruments]].<ref name=Saad>Bashar Saad, Hassan Azaizeh, Omar Said (October 2005). "Tradition and Perspectives of Arab Herbal Medicine: A Review", ''Evidence-based Complementary and Alternative Medicine'' '''2''' (4), p. 475–479 [476]. [[Oxford University Press]].</ref> [[Avicenna]] helped lay the foundations for modern [[medicine]],<ref name="Cas Lek Cesk 1980 p. 17">Cas Lek Cesk (1980). "The father of medicine, Avicenna, in our science and culture: Abu Ali ibn Sina (980–1037)", ''Becka J.'' '''119''' (1), p. 17–23.</ref> with ''[[The Canon of Medicine]]'', which was responsible for the introduction of [[experimental medicine]],<ref>{{Cite journal|journal=European Review|year=2008|volume=16|pages=219–27|publisher=[[Cambridge University Press]]|title=Islamic Pharmacology in the Middle Ages: Theories and Substances|first=Danielle|last=Jacquart|doi=10.1017/S1062798708000215|ref=harv|postscript=<!--None-->}}</ref> [[clinical trial]]s,<ref>David W. Tschanz, MSPH, PhD (August 2003). "Arab Roots of European Medicine", ''Heart Views'' '''4''' (2).</ref> [[randomized controlled trial]]s,<ref>Jonathan D. Eldredge (2003), "The Randomised Controlled Trial design: unrecognized opportunities for health sciences librarianship", ''Health Information and Libraries Journal'' '''20''', p. 34–44 [36].</ref><ref>Bernard S. Bloom, Aurelia Retbi, Sandrine Dahan, Egon Jonsson (2000), "Evaluation Of Randomized Controlled Trials On Complementary And Alternative Medicine", ''International Journal of Technology Assessment in Health Care'' '''16''' (1), p. 13–21 [19].</ref>
[[efficacy]] tests,<ref>D. Craig Brater and Walter J. Daly (2000), "Clinical pharmacology in the Middle Ages: Principles that presage the 21st century", ''Clinical Pharmacology & Therapeutics'' '''67''' (5), p. 447–450 [449].</ref><ref>Walter J. Daly and D. Craig Brater (2000), "Medieval contributions to the search for truth in clinical medicine", ''Perspectives in Biology and Medicine'' '''43''' (4), p. 530–540 [536], [[Johns Hopkins University Press]].</ref>
[[efficacy]] tests,<ref>D. Craig Brater and Walter J. Daly (2000), "Clinical pharmacology in the Middle Ages: Principles that presage the 21st century", ''Clinical Pharmacology & Therapeutics'' '''67''' (5), p. 447–450 [449].</ref><ref>Walter J. Daly and D. Craig Brater (2000), "Medieval contributions to the search for truth in clinical medicine", ''Perspectives in Biology and Medicine'' '''43''' (4), p. 530–540 [536], [[Johns Hopkins University Press]].</ref>
and [[clinical pharmacology]].<ref name="Walter J. Daly 2000 p. 447"/> [[Ibn Zuhr]] (Avenzoar) was the earliest known [[experiment]]al surgeon.<ref name=Abdel-Halim>Rabie E. Abdel-Halim (2006), "Contributions of Muhadhdhab Al-Deen Al-Baghdadi to the progress of medicine and urology", ''Saudi Medical Journal'' '''27''' (11): 1631–1641.</ref> [[Ibn al-Nafis]] laid the foundations for [[Cardiovascular physiology|circulatory physiology]],<ref>Chairman's Reflections (2004), "Traditional Medicine Among Gulf Arabs, Part II: Blood-letting", ''Heart Views'' '''5''' (2), p. 74–85 [80].</ref> as he was the first to describe the [[pulmonary circulation]]<ref>S. A. Al-Dabbagh (1978). "Ibn Al-Nafis and the pulmonary circulation", ''[[The Lancet]]'' '''1''': 1148.</ref> and the [[capillary]]<ref name=Paul>Dr. Paul Ghalioungui (1982), "The West denies Ibn Al Nafis's contribution to the discovery of the circulation", ''Symposium on Ibn al-Nafis'', Second International Conference on Islamic Medicine: Islamic Medical Organization, Kuwait ([[cf.]] [http://www.islamset.com/isc/nafis/drpaul.html The West denies Ibn Al Nafis's contribution to the discovery of the circulation], ''Encyclopedia of Islamic World'')</ref> and [[coronary circulation]]s.<ref>Husain F. Nagamia (2003), "Ibn al-Nafīs: A Biographical Sketch of the Discoverer of Pulmonary and Coronary Circulation", ''Journal of the International Society for the History of Islamic Medicine'' '''1''', p. 22–28. <br /> Quotes [[Ibn al-Nafis]], ''Commentary on Anatomy in Avicenna's Canon'':
and [[clinical pharmacology]].<ref name="Walter J. Daly 2000 p. 447"/> [[Ibn Zuhr]] (Avenzoar) was the earliest known [[experiment]]al surgeon.<ref name=Abdel-Halim>Rabie E. Abdel-Halim (2006), "Contributions of Muhadhdhab Al-Deen Al-Baghdadi to the progress of medicine and urology", ''Saudi Medical Journal'' '''27''' (11): 1631–1641.</ref> [[Ibn al-Nafis]] laid the foundations for [[Cardiovascular physiology|circulatory physiology]],<ref>Chairman's Reflections (2004), "Traditional Medicine Among Gulf Arabs, Part II: Blood-letting", ''Heart Views'' '''5''' (2), p. 74–85 [80].</ref> as he described the [[pulmonary circulation]]<ref>S. A. Al-Dabbagh (1978). "Ibn Al-Nafis and the pulmonary circulation", ''[[The Lancet]]'' '''1''': 1148.</ref> and the [[capillary]]<ref name=Paul>Dr. Paul Ghalioungui (1982), "The West denies Ibn Al Nafis's contribution to the discovery of the circulation", ''Symposium on Ibn al-Nafis'', Second International Conference on Islamic Medicine: Islamic Medical Organization, Kuwait ([[cf.]] [http://www.islamset.com/isc/nafis/drpaul.html The West denies Ibn Al Nafis's contribution to the discovery of the circulation], ''Encyclopedia of Islamic World'')</ref> and [[coronary circulation]]s.<ref>Husain F. Nagamia (2003), "Ibn al-Nafīs: A Biographical Sketch of the Discoverer of Pulmonary and Coronary Circulation", ''Journal of the International Society for the History of Islamic Medicine'' '''1''', p. 22–28. <br /> Quotes [[Ibn al-Nafis]], ''Commentary on Anatomy in Avicenna's Canon'':
{{quote|"The notion (of Ibn Sînâ) that the blood in the right side of the heart is to nourish the heart is not true at all, for the nourishment of the heart is from the blood that goes through the vessels that permeate the body of the heart."}}</ref><ref>Matthijs Oudkerk (2004), ''Coronary Radiology'', "Preface", [[Springer Science+Business Media]], ISBN 3540436405.</ref>
{{quote|"The notion (of Ibn Sînâ) that the blood in the right side of the heart is to nourish the heart is not true at all, for the nourishment of the heart is from the blood that goes through the vessels that permeate the body of the heart."}}</ref><ref>Matthijs Oudkerk (2004), ''Coronary Radiology'', "Preface", [[Springer Science+Business Media]], ISBN 3540436405.</ref>


===Physics===
===Physics===
{{Main|Islamic physics}}
{{Main|Islamic physics}}
[[Experimental physics]] had its roots in the work of the 11th-century Muslim [[polymath]] and [[physicist]], [[Ibn al-Haytham]] (Alhazen),<ref>{{Cite journal|first=Rüdiger|last=Thiele|year=2005|title=In Memoriam: Matthias Schramm|journal=Arabic Sciences and Philosophy|publisher=[[Cambridge University Press]]|volume=15|pages=329–331|doi=10.1017/S0957423905000214|ref=harv|postscript=<!--None-->}}</ref> who is considered the "father of modern [[optics]]"<ref name=Verma>R. L. Verma, "Al-Hazen: father of modern optics", ''Al-Arabi'', 8 (1969): 12–13</ref> and one of the most important [[physicist]]s of the [[Middle Ages]],<ref name=Sarton>[[George Sarton]], ''Introduction to the History of Science'', "The Time of Al-Biruni"</ref> for having developed the earliest [[experiment]]al [[scientific method]] in his ''[[Book of Optics]]''.<ref name=Gorini/> Alhazen was the first thinker to combine all three fields of optics (theories of philosophical or physical optics, physiological theories of the eye, and [[geometrical optics]]) into an integrated science of optics.<ref name=Lindberg>Lindberg pp. 58–86</ref> This was, however, not just a work of synthesis, as he made original contributions to the field. Whereas the Greeks had merely assumed the linear propagation of [[light]], Alhazen proved it with [[empirical]] experiments. His ''[[Book of Optics]]'' has been ranked alongside [[Isaac Newton]]'s ''[[Philosophiae Naturalis Principia Mathematica]]'' as one of the most influential books in the [[history of physics]]<ref>H. Salih, M. Al-Amri, M. El Gomati (2005). "The Miracle of Light", ''A World of Science'' '''3''' (3). [[UNESCO]].</ref> for initiating a [[Scientific Revolution|revolution]] in optics<ref>{{Cite book|last1=Sabra|first1=A. I.|author1-link=A. I. Sabra|last2=Hogendijk|first2=J. P.|title=The Enterprise of Science in Islam: New Perspectives|pages=85–118|publisher=[[MIT Press]]|isbn=0262194821|year=2003|oclc=237875424 50252039|ref=harv|postscript=<!--None-->}}</ref> and [[visual perception]].<ref>{{Cite book |last=Hatfield |first=Gary |contribution=Was the Scientific Revolution Really a Revolution in Science? |editor1-last=Ragep |editor1-first=F. J. |editor2-last=Ragep |editor2-first=Sally P. |editor3-last=Livesey |editor3-first=Steven John |year=1996 |title=Tradition, Transmission, Transformation: Proceedings of Two Conferences on Pre-modern Science held at the University of Oklahoma |page=500 |publisher=[[Brill Publishers]] |isbn=9004091262 |oclc=19740432 234073624 234096934 |ref=harv |postscript=<!--None-->}}</ref>
[[Experimental physics]] had its roots in the work of the 11th-century Muslim [[polymath]] and [[physicist]], [[Ibn al-Haytham]] (Alhazen),<ref>{{Cite journal|first=Rüdiger|last=Thiele|year=2005|title=In Memoriam: Matthias Schramm|journal=Arabic Sciences and Philosophy|publisher=[[Cambridge University Press]]|volume=15|pages=329–331|doi=10.1017/S0957423905000214|ref=harv|postscript=<!--None-->}}</ref> who is considered the "father of modern [[optics]]"<ref name=Verma>R. L. Verma, "Al-Hazen: father of modern optics", ''Al-Arabi'', 8 (1969): 12–13</ref> and one of the most important [[physicist]]s of the [[Middle Ages]],<ref name=Sarton>[[George Sarton]], ''Introduction to the History of Science'', "The Time of Al-Biruni"</ref> for having developed the earliest [[experiment]]al [[scientific method]] in his ''[[Book of Optics]]''.<ref name=Gorini/> Alhazen combined all three fields of optics (theories of philosophical or physical optics, physiological theories of the eye, and [[geometrical optics]]) into an integrated science of optics.<ref name=Lindberg>Lindberg pp. 58–86</ref> This was, however, not just a work of synthesis, as he made original contributions to the field. Whereas the Greeks had merely assumed the linear propagation of [[light]], Alhazen proved it with [[empirical]] experiments. His ''[[Book of Optics]]'' has been ranked alongside [[Isaac Newton]]'s ''[[Philosophiae Naturalis Principia Mathematica]]'' as one of the most influential books in the [[history of physics]]<ref>H. Salih, M. Al-Amri, M. El Gomati (2005). "The Miracle of Light", ''A World of Science'' '''3''' (3). [[UNESCO]].</ref> for initiating a [[Scientific Revolution|revolution]] in optics<ref>{{Cite book|last1=Sabra|first1=A. I.|author1-link=A. I. Sabra|last2=Hogendijk|first2=J. P.|title=The Enterprise of Science in Islam: New Perspectives|pages=85–118|publisher=[[MIT Press]]|isbn=0262194821|year=2003|oclc=237875424 50252039|ref=harv|postscript=<!--None-->}}</ref> and [[visual perception]].<ref>{{Cite book |last=Hatfield |first=Gary |contribution=Was the Scientific Revolution Really a Revolution in Science? |editor1-last=Ragep |editor1-first=F. J. |editor2-last=Ragep |editor2-first=Sally P. |editor3-last=Livesey |editor3-first=Steven John |year=1996 |title=Tradition, Transmission, Transformation: Proceedings of Two Conferences on Pre-modern Science held at the University of Oklahoma |page=500 |publisher=[[Brill Publishers]] |isbn=9004091262 |oclc=19740432 234073624 234096934 |ref=harv |postscript=<!--None-->}}</ref>


Another important medieval Muslim physicist and polymath who contributed towards experimental physics was [[Abū Rayhān al-Bīrūnī]], who developed the earliest experimental method for [[mechanics]] in the 11th century. Al-Biruni and [[Al-Khazini]] also unified [[statics]] and [[dynamics (physics)|dynamics]] into the science of mechanics, and combined [[hydrostatics]] with dynamics to create the field of [[hydrodynamics]].<ref>Mariam Rozhanskaya and I. S. Levinova (1996), "Statics", in Roshdi Rashed, ed., ''[[Encyclopedia of the History of Arabic Science]]'', Vol. 2, pp. 614–642 [642], [[Routledge]], London and New York</ref> The concept of [[inertia]] was theorized in the 11th century by the Islamic scholar [[Avicenna]],<ref name=Sayili/> who also theorized the idea of [[momentum]].<ref name=Razavi/> In the 12th century, [[Ibn Bajjah|Avempace]] developed the concept of a [[reaction (physics)|reaction force]],<ref name="Pines-1964"/> and [[Hibat Allah Abu'l-Barakat al-Baghdaadi|Abu’l Barakat]] developed the concept that [[force]] applied continuously produces [[acceleration]].<ref name="Pines-1970"/> [[Galileo Galilei]]'s mathematical treatment of [[acceleration]] and his concept of [[inertia]]<ref>Galileo Galilei, ''Two New Sciences'', trans. [[Stillman Drake]], (Madison: Univ. of Wisconsin Pr., 1974), pp 217, 225, 296–7.</ref> was influenced by the works of Avicenna,<ref name=Espinoza>Fernando Espinoza (2005). "An analysis of the historical development of ideas about motion and its implications for teaching", ''Physics Education'' '''40''' (2), p. 141.</ref> Avempace and [[Jean Buridan]].<ref>Ernest A. Moody (1951). "Galileo and Avempace: The Dynamics of the Leaning Tower Experiment (I)", ''Journal of the History of Ideas'' '''12''' (2), p. 163–193 (192f.)</ref>
Another important medieval Muslim physicist and polymath who contributed towards experimental physics was [[Abū Rayhān al-Bīrūnī]], who developed the earliest experimental method for [[mechanics]] in the 11th century. Al-Biruni and [[Al-Khazini]] also unified [[statics]] and [[dynamics (physics)|dynamics]] into the science of mechanics, and combined [[hydrostatics]] with dynamics to create the field of [[hydrodynamics]].<ref>Mariam Rozhanskaya and I. S. Levinova (1996), "Statics", in Roshdi Rashed, ed., ''[[Encyclopedia of the History of Arabic Science]]'', Vol. 2, pp. 614–642 [642], [[Routledge]], London and New York</ref> The concept of [[inertia]] was theorized in the 11th century by the Islamic scholar [[Avicenna]],<ref name=Sayili>[[Aydin Sayili]] (1987), "Ibn Sīnā and Buridan on the Motion of the Projectile", ''Annals of the New York Academy of Sciences'' '''500''' (1): 477–482 [477].</ref> who also theorized the idea of [[momentum]].<ref name=Razavi>{{Cite book|title=The Islamic intellectual tradition in Persia|author=[[Seyyed Hossein Nasr]] & Mehdi Amin Razavi|publisher=[[Routledge]]|year=1996|isbn=0700703144|page=72|ref=harv|postscript= .}}</ref> In the 12th century, [[Ibn Bajjah|Avempace]] developed the concept of a [[reaction (physics)|reaction force]],ref name=Pines-1964>[[Shlomo Pines]] (1964), "La dynamique d’Ibn Bajja", in ''Mélanges Alexandre Koyré'', I, 442–468 [462, 468], Paris <br />([[cf.]] Abel B. Franco (October 2003), "Avempace, Projectile Motion, and Impetus Theory", ''Journal of the History of Ideas'' '''64''' (4): 521–546 [543])</ref> and [[Hibat Allah Abu'l-Barakat al-Baghdaadi|Abu’l Barakat]] developed the concept that [[force]] applied continuously produces [[acceleration]].<ref name=Pines-1970>{{cite encyclopedia | last = [[Shlomo Pines]] | title = Abu'l-Barakāt al-Baghdādī , Hibat Allah | encyclopedia = [[Dictionary of Scientific Biography]] | volume = 1 | pages = 26–28 | publisher = Charles Scribner's Sons | location = New York | year = 1970 | isbn = 0684101149}} <br />([[cf.]] Abel B. Franco (October 2003). "Avempace, Projectile Motion, and Impetus Theory", ''Journal of the History of Ideas'' '''64''' (4), p. 521–546 [528].)</ref> [[Galileo Galilei]]'s mathematical treatment of [[acceleration]] and his concept of [[inertia]]<ref>Galileo Galilei, ''Two New Sciences'', trans. [[Stillman Drake]], (Madison: Univ. of Wisconsin Pr., 1974), pp 217, 225, 296–7.</ref> was influenced by the works of Avicenna,<ref name=Espinoza>Fernando Espinoza (2005). "An analysis of the historical development of ideas about motion and its implications for teaching", ''Physics Education'' '''40''' (2), p. 141.</ref> Avempace and [[Jean Buridan]].<ref>Ernest A. Moody (1951). "Galileo and Avempace: The Dynamics of the Leaning Tower Experiment (I)", ''Journal of the History of Ideas'' '''12''' (2), p. 163–193 (192f.)</ref>


===Other sciences===
===Other sciences===
{{Main|Islamic psychological thought|Early Muslim sociology}}
{{Main|Islamic psychological thought|Early Muslim sociology}}
Muslim polymaths and scientists made advances in a number of other sciences. Some of the most famous among them include [[Jābir ibn Hayyān]] ([[polymath]], pioneer of [[chemistry]]), [[al-Farabi]] (polymath), [[Abu al-Qasim al-Zahrawi]] or Abulcasis (pioneer in [[surgery]]),<ref name="A. Martin-Araguz, C. Bustamante-Martinez 2002 p. 877"/> [[Ibn al-Haytham]] (polymath, father of [[optics]], pioneer of [[scientific method]], pioneer in [[psychophysics]] and [[experimental psychology]],<ref>Omar Khaleefa (Summer 1999). "Who Is the Founder of Psychophysics and Experimental Psychology?", ''American Journal of Islamic Social Sciences'' '''16''' (2).</ref> and the first experimental [[scientist]]), [[Abū Rayhān al-Bīrūnī]] (polymath, father of [[Indology]]<ref>Zafarul-Islam Khan, [http://milligazette.com/Archives/15-1-2000/Art5.htm At The Threshhold Of A New Millennium – II], ''The Milli Gazette''.</ref> and [[geodesy]], and the "first [[anthropologist]]"),<ref name="Ahmed"/> [[Avicenna]] (polymath, pioneer of [[medicine]]<ref name="Cas Lek Cesk 1980 p. 17"/> and [[momentum]] concept),<ref>Seyyed Hossein Nasr, "Islamic Conception Of Intellectual Life", in Philip P. Wiener (ed.), ''Dictionary of the History of Ideas'', Vol. 2, p. 65, Charles Scribner's Sons, New York, 1973–1974.</ref> [[Nasīr al-Dīn al-Tūsī]] (polymath), and [[Ibn Khaldun]] (forerunner of [[social sciences]]<ref>Akbar Ahmed (2002). "Ibn Khaldun’s Understanding of Civilizations and the Dilemmas of Islam and the West Today", ''Middle East Journal'' '''56''' (1), p. 25.</ref> such as [[demography]],<ref name=Mowlana>H. Mowlana (2001). "Information in the Arab World", ''Cooperation South Journal'' '''1'''.</ref> [[cultural history]],<ref>Mohamad Abdalla (Summer 2007). "Ibn Khaldun on the Fate of Islamic Science after the 11th Century", ''Islam & Science'' '''5''' (1), p. 61–70.</ref> [[historiography]],<ref>Salahuddin Ahmed (1999). ''A Dictionary of Muslim Names''. C. Hurst & Co. Publishers. ISBN 1850653569.</ref> the [[philosophy of history]], and [[sociology]]).<ref name=Akhtar>Dr. S. W. Akhtar (1997). "The Islamic Concept of Knowledge", ''Al-Tawhid: A Quarterly Journal of Islamic Thought & Culture'' '''12''' (3).</ref>
Muslim polymaths and scientists made advances in a number of other sciences. Some of the most famous among them include [[Jābir ibn Hayyān]] ([[polymath]], pioneer of [[chemistry]]), [[al-Farabi]] (polymath), [[Abu al-Qasim al-Zahrawi]] or Abulcasis (pioneer in [[surgery]]),<ref name="A. Martin-Araguz, C. Bustamante-Martinez 2002 p. 877"/> [[Ibn al-Haytham]] (polymath, father of [[optics]], pioneer of [[scientific method]], pioneer in [[psychophysics]] and [[experimental psychology]],<ref>Omar Khaleefa (Summer 1999). "Who Is the Founder of Psychophysics and Experimental Psychology?", ''American Journal of Islamic Social Sciences'' '''16''' (2).</ref> and experimental [[scientist]]), [[Abū Rayhān al-Bīrūnī]] (polymath, father of [[Indology]]<ref>Zafarul-Islam Khan, [http://milligazette.com/Archives/15-1-2000/Art5.htm At The Threshhold Of A New Millennium – II], ''The Milli Gazette''.</ref> and [[geodesy]], and the "first [[anthropologist]]"),<ref name="Ahmed"/> [[Avicenna]] (polymath, pioneer of [[medicine]]<ref name="Cas Lek Cesk 1980 p. 17"/> and [[momentum]] concept),<ref>Seyyed Hossein Nasr, "Islamic Conception Of Intellectual Life", in Philip P. Wiener (ed.), ''Dictionary of the History of Ideas'', Vol. 2, p. 65, Charles Scribner's Sons, New York, 1973–1974.</ref> [[Nasīr al-Dīn al-Tūsī]] (polymath), and [[Ibn Khaldun]] (forerunner of [[social sciences]]<ref>Akbar Ahmed (2002). "Ibn Khaldun’s Understanding of Civilizations and the Dilemmas of Islam and the West Today", ''Middle East Journal'' '''56''' (1), p. 25.</ref> such as [[demography]],<ref name=Mowlana>H. Mowlana (2001). "Information in the Arab World", ''Cooperation South Journal'' '''1'''.</ref> [[cultural history]],<ref>Mohamad Abdalla (Summer 2007). "Ibn Khaldun on the Fate of Islamic Science after the 11th Century", ''Islam & Science'' '''5''' (1), p. 61–70.</ref> [[historiography]],<ref>Salahuddin Ahmed (1999). ''A Dictionary of Muslim Names''. C. Hurst & Co. Publishers. ISBN 1850653569.</ref> the [[philosophy of history]], and [[sociology]]).<ref name=Akhtar>Dr. S. W. Akhtar (1997). "The Islamic Concept of Knowledge", ''Al-Tawhid: A Quarterly Journal of Islamic Thought & Culture'' '''12''' (3).</ref>

==India==
{{Duplication}}
{{Main|Science and technology in ancient India}}

===Alchemy and metallurgy===
{{Main|History of metallurgy in the Indian subcontinent}}
By the beginning of the Middle Ages, the [[wootz steel|wootz]], [[crucible steel|crucible]] and [[stainless steel|stainless]] [[steels]] were invented in India. The [[spinning wheel]] used for [[spinning (textiles)|spinning]] thread or [[yarn]] from fibrous material such as [[wool]] or [[cotton]] was invented in the early Middle Ages. By the end of the Middle Ages, [[iron]] [[rocket]]s were developed in the [[kingdom of Mysore]] in [[South India]].

===Astronomy===
{{Main|Indian astronomy}}
{{See also|Kerala school of astronomy and mathematics}}
The mathematician and astronomer [[Aryabhata]] in 499 propounded a [[heliocentrism|heliocentric]] [[solar system]] of [[gravity|gravitation]] where he presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the [[Orbital period|periods]] of the planets were given as [[ellipse|elliptical]] orbits with respect to the sun. He also believed that the moon and planets shine by reflected sunlight and that the orbits of the planets are ellipses. He carried out accurate calculations of astronomical constants based on this system, such as the periods of the planets, the [[circumference]] of the [[earth]], the [[solar eclipse]] and [[lunar eclipse]], the time taken for a single rotation of the Earth on its axis, the length of earth's revolution around the sun, and the longitudes of planets.

In the 7th century, [[Brahmagupta]] briefly described the [[law of gravitation]], and recognized [[gravity]] as a force of attraction.

The ''Siddhanta Shiromani'' was a mathematical astronomy text written by [[Bhaskara]] in the 12th century. The 12 chapters of the first part cover topics such as: mean longitudes of the planets; true longitudes of the planets; the three problems of diurnal rotation; syzygies; lunar eclipses; solar eclipses; latitudes of the planets; risings and settings; the moon's crescent; conjunctions of the planets with each other; conjunctions of the planets with the fixed stars; and the patas of the sun and moon. The second part contains thirteen chapters on the sphere. It covers topics such as: praise of study of the sphere; nature of the sphere; cosmography and geography; planetary mean motion; eccentric epicyclic model of the planets; the armillary sphere; [[spherical trigonometry]]; ellipse calculations; first visibilities of the planets; calculating the lunar crescent; astronomical instruments; the seasons; and problems of astronomical calculations.

===Mathematics===
{{Main|Indian mathematics|Kerala school of astronomy and mathematics}}
[[Aryabhata]] introduced a number of [[trigonometric functions]] (including [[sine]], [[versine]], [[cosine]] and inverse sine), [[trigonometry|trigonometric]] [[Aryabhata's sine table|tables]], and techniques and [[algorithm]]s of [[algebra]]. [[Arabic]] translations of his texts were available in the [[Caliph|Islamic world]] by the 8th-10th century.

[[Brahmagupta]] lucidly explained the use of [[0 (number)|zero]] as both a [[Positional notation|placeholder]] and a [[decimal digit]], along with the [[Hindu-Arabic numerals]] now used universally throughout the world. Arabic translations of his texts (around 770) introduced this number system to the Islamic world, where it was adapted as [[Arabic numerals]]. [[Islam]]ic scholars carried knowledge of this number system to [[Europe]] by the 10th century and it has now displaced all older number systems throughout the world.

From the 12th century, [[Bhaskara]], [[Madhava of Sangamagrama|Madhava]], and various [[Kerala school]] mathematicians first conceived of [[mathematical analysis]], [[differential calculus]], concepts of [[integral calculus]], [[infinite series]], [[power series]], [[Taylor series]], [[trigonometric series]], [[floating point]] numbers, and many other concepts foundational to the overall development of [[calculus]] and analysis.

===Medicine===
{{Main|Ayurveda}}
Traditional Indian medicine, known as [[Ayurveda]], was mainly formulated in ancient times, but there were a number of additions made during the Middle Ages. Alongside the ancient physicians [[Sushruta]] and [[Charaka]], the medieval physician [[Vagbhata (Ayurveda)|Vagbhata]], who lived in the 7th century, is considered one of the three classic writers of Ayurveda. In the 8th century, [[Madhav]] wrote the ''Nidāna'', a 79-chapter book which lists diseases along with their causes, symptoms, and complications. He also included a special chapter on [[smallpox]] (''masūrikā'') and described the method of [[inoculation]] to protect against smallpox.<ref>Dick, Michael S. (1998). [http://www.ayurveda.com/online%20resource/ancient_writings.htm The Ancient Ayurvedic Writings]. Retrieved May 19, 2005.</ref>

===Physics===
Prior to the Middle Ages, Indian philosophers in [[History of India|ancient India]] developed [[atomic theory|atomic theories]], which included formulating ideas about the [[atom]] in a systematic manner and propounding ideas about the atomic constitution of the material world. The [[principle of relativity]] was also available in an early embryonic form in the Indian philosophical concept of "''sapekshavad''". The literal translation of this [[Sanskrit]] word is "''theory of relativity''" (not to be confused with Einstein's [[theory of relativity]]). These concepts were further developed during the Middle Ages.

==China==
{{Duplication}}

[[Image:Sea island survey.jpg|thumb|upright|A 1726 illustration of ''[[The Sea Island Mathematical Manual]]'', written by [[Liu Hui]] in the 3rd century.]]
{{Main|History of science and technology in China|List of Chinese inventions}}
{{See|Science and technology of the Han Dynasty|Technology of the Song Dynasty}}

===Theory and hypothesis===
As Toby E. Huff notes, pre-modern Chinese science developed precariously without solid [[scientific theory]], and lacked consistent systemic treatment in comparison to contemporaneous European works such as the ''Concordance and Discordant Canons'' by [[Gratian (jurist)|Gratian]] of [[Bologna]] ([[floruit|fl.]] 12th century).<ref name="huff 303">Toby E. Huff, ''The Rise of Early Modern Science: Islam, China, and the West'' (Cambridge: Cambridge University Press, 2003, ISBN 0521529948) pp 303.</ref> This drawback to Chinese science was lamented even by the mathematician [[Yang Hui]] (1238–1298), who criticized earlier mathematicians such as [[Li Chunfeng]] (602–670) who were content with using methods without working out their theoretical origins or principle, stating:

<blockquote>The men of old changed the name of their methods from problem to problem, so that as no specific explanation was given, there is no way of telling their theoretical origin or basis.<ref name="needham volume 3 104">Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 104.</ref></blockquote>

Despite this, Chinese thinkers of the Middle Ages proposed some hypotheses which are in accordance with modern principles of science. Yang Hui provided theoretical proof for the proposition that the complements of the [[parallelogram]]s which are about the diameter of any given parallelogram are equal to one another.<ref name="needham volume 3 104"/> Sun Sikong (1015–1076) proposed the idea that [[rainbow]]s were the result of the contact between sunlight and moisture in the air, while [[Shen Kuo]] (1031–1095) expanded upon this with description of [[atmospheric refraction]].<ref name="sivin 24">Nathan Sivin, ''Science in Ancient China: Researches and Reflections.'' (Brookfield, Vermont: VARIORUM, Ashgate Publishing, 1995), Chapter III, pp. 24.</ref><ref name="kim 171">Yung Sik Kim, ''The Natural Philosophy of Chu Hsi (1130–1200)'' (DIANE Publishing, 2002, ISBN 087169235X), pp. 171.</ref><ref name="dong 72">Paul Dong, ''China's Major Mysteries: Paranormal Phenomena and the Unexplained in the People's Republic'' (San Francisco: China Books and Periodicals, Inc., 2000, ISBN 0835126765), pp. 72.</ref> Shen believed that rays of sunlight refracted before reaching the surface of the earth, hence the appearance of the observed sun from earth did not match its exact location.<ref name="dong 72"/> Coinciding with the astronomical work of his colleague [[Wei Pu]], Shen and Wei realized that the old calculation technique for the mean sun was inaccurate compared to the apparent sun, since the latter was ahead of it in the accelerated phase of motion, and [[apparent retrograde motion|behind it in the retarded phase]].<ref>Nathan Sivin, ''Science in Ancient China: Researches and Reflections.'' (Brookfield, Vermont: VARIORUM, Ashgate Publishing, 1995), Chapter III, pp. 16–19.</ref> Shen supported and expanded upon beliefs earlier proposed by [[Han Dynasty]] (202 BCE–202 CE) scholars such as [[Jing Fang]] (78–37 BCE) and [[Zhang Heng]] (78–139 CE) that [[lunar eclipse]] occurs when the earth obstructs the sunlight traveling towards the moon, a [[solar eclipse]] is the moon's obstruction of sunlight reaching earth, the moon is spherical like a ball and not flat like a disc, and moonlight is merely sunlight reflected from the moon's surface.<ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 227 & 414–416</ref> Shen also explained that the observance of a full moon occurred when the sun's light was slanting at a certain degree and that crescent [[Lunar phase|phases of the moon]] proved that the moon was spherical, using a metaphor of observing different angles of a silver ball with white powder thrown onto one side.<ref>"Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 415–416.</ref><ref>Paul Dong, ''China's Major Mysteries: Paranormal Phenomena and the Unexplained in the People's Republic'' (San Francisco: China Books and Periodicals, Inc., 2000, ISBN 0835126765), pp. 71–2.</ref> It should be noted that, although the Chinese accepted the idea of spherical-shaped heavenly bodies, the concept of a [[spherical earth]] (as opposed to a [[flat earth]]) was not accepted in Chinese thought until the works of Italian Jesuit [[Matteo Ricci]] (1552–1610) and Chinese astronomer [[Xu Guangqi]] (1562–1633) in the early 17th century.<ref>Dainian Fan and Robert Sonné Cohen, ''Chinese Studies in the History and Philosophy of Science and Technology'' (Dordrecht: Kluwer Academic Publishers, 1996, ISBN 0-7923-3463-9), pp. 431–2.</ref>

===Medicine and Pharmacology===
{{Main|Traditional Chinese medicine|Classical Chinese Medicine}}
There were noted advances in [[traditional Chinese medicine]] during the Middle Ages. [[Emperor Gaozong of Tang|Emperor Gaozong]] (r. 649–683) of the [[Tang Dynasty]] (618–907) commissioned the scholarly compilation of a ''[[materia medica]]'' in 657 that documented 833 medicinal substances taken from stones, minerals, metals, plants, herbs, animals, vegetables, fruits, and cereal crops.<ref>Charles Benn, ''China's Golden Age: Everyday Life in the Tang Dynasty''. Oxford University Press, 2002, ISBN 0-19-517665-0), pp. 235.</ref> In his ''Bencao Tujing'' ('Illustrated Pharmacopoeia'), the scholar-official [[Su Song]] (1020–1101) not only systematically categorized [[Botany|herbs]] and [[mineralogy|minerals]] according to their pharmaceutical uses, but he also took an interest in [[zoology]].<ref name="wu 5">Wu Jing-nuan, ''An Illustrated Chinese Materia Medica''. (New York: Oxford University Press, 2005), pp. 5.</ref><ref name="needham volume 3 648 649">Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 648–9.</ref><ref name="needham volume 6 part 1 174 175">Joseph Needham, ''Science and Civilization in China: Volume 6, Biology and Biological Technology, Part 1, Botany''. (Taipei: Caves Books Ltd., 1986), pp. 174–5.</ref><ref name="schafer">Schafer, Edward H. "Orpiment and Realgar in Chinese Technology and Tradition," ''Journal of the American Oriental Society'' (Volume 75, Number 2, 1955): 73–89.</ref> For example, Su made systematic descriptions of animal species and the environmental regions they could be found, such as the freshwater [[crab]] ''Eriocher sinensis'' found in the [[Huai River]] running through [[Anhui]], in waterways near [[Kaifeng|the capital city]], as well as reservoirs and marshes of [[Hebei]].<ref>West, Stephen H. "Cilia, Scale and Bristle: The Consumption of Fish and Shellfish in The Eastern Capital of The Northern Song," ''Harvard Journal of Asiatic Studies'' (Volume 47, Number 2, 1987): 595–634.</ref>

===Horology and clockworks===
Although the ''Bencao Tujing'' was an important pharmaceutical work of the age, Su Song is perhaps better known for his work in [[horology]]. His book ''Xinyi Xiangfayao'' (新儀象法要; lit. 'Essentials of a New Method for Mechanizing the Rotation of an Armillary Sphere and a Celestial Globe') documented the intricate mechanics of his [[astronomical clock|astronomical clock tower]] in [[Kaifeng]]. This included the use of an [[escapement|escapement mechanism]] and world's first known [[chain drive]] to power the rotating [[armillary sphere]] crowning the top as well as the 133 clock jack figurines positioned on a rotating wheel that [[Striking clock|sounded the hours]] by banging drums, clashing gongs, striking bells, and holding plaques with special announcements appearing from open-and-close shutter windows.<ref name="needham volume 4 part 2 111 165 445 448">Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 2: Mechanical Engineering'' (Taipei: Caves Books, Ltd. 1986) pp. 111 & 165 & 445–448.</ref><ref>Liu, Heping. ""The Water Mill" and Northern Song Imperial Patronage of Art, Commerce, and Science," The Art Bulletin (Volume 84, Number 4, 2002): 566–595.</ref><ref>Tony Fry, ''The Architectural Theory Review: Archineering in Chinatime'' (Sydney: University of Sydney, 2001), pp. 10–1.</ref><ref>Derk Bodde, ''Chinese Thought, Society, and Science'' (Honolulu: University of Hawaii Press, 1991), pp. 140.</ref> While it had been [[Zhang Heng]] who first applied [[motive power]] to an armillary sphere via [[hydraulics]] in 125 CE,<ref>Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 2: Mechanical Engineering'' (Taipei: Caves Books, Ltd. 1986), pp. 30.</ref><ref>W. Scott Morton and Charlton M. Lewis, China: Its History and Culture. (New York: McGraw-Hill, Inc., 2005), pp. 70.</ref> it was [[Yi Xing]] (683–727) in 725 CE who first added an escapement mechanism to a water-powered celestial globe and stiking clock.<ref name="autogenerated1">Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 2: Mechanical Engineering'' (Taipei: Caves Books, Ltd. 1986) pp. 470–5.</ref> The early Song Dynasty horologist [[Zhang Sixun]] (fl. late 10th century) employed [[mercury (element)|liquid mercury]] in his astronomical clock because there were complaints that water would freeze too easily in the [[clepsydra (clock)|clepsydra]] tanks during winter.<ref>Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 2: Mechanical Engineering'' (Taipei: Caves Books, Ltd. 1986), pp. 469–471.</ref>

===Archaeology===
During the early half of the [[Song Dynasty]] (960–1279), the study of [[archaeology]] developed out of the [[antiquarian]] interests of the [[Gentry (China)|educated gentry]] and their desire to revive the use of ancient vessels in state rituals and ceremonies.<ref name="fraser haber 227">Julius Thomas Fraser and Francis C. Haber, ''Time, Science, and Society in China and the West'' (Amherst: University of Massachusetts Press, ISBN 0-87023-495-1, 1986), pp. 227.</ref> This and the belief that ancient vessels were products of 'sages' and not common people was criticized by Shen Kuo, who took an [[interdisciplinarity|interdisciplinary]] approach to archaeology, incorporating his archaeological findings into studies on metallurgy, optics, astronomy, geometry, and ancient [[Bar (music)|music measures]].<ref name="fraser haber 227"/> His contemporary [[Ouyang Xiu]] (1007–1072) compiled an analytical catalogue of ancient rubbings on stone and bronze, which Patricia B. Ebrey says pioneered ideas in early [[epigraphy]] and archaeology.<ref>Patricia B. Ebrey, The Cambridge Illustrated History of China (Cambridge: Cambridge University Press, 1999, ISBN 0-521-66991-X), pp. 148.</ref> In accordance with the beliefs of the later [[Leopold von Ranke]] (1795–1886), some Song gentry—such as Zhao Mingcheng (1081–1129)—supported the primacy of contemporaneous archaeological finds of ancient inscriptions over historical works written after the fact, which they contested to be unreliable in regards to the former evidence.<ref name="rudolph">Rudolph, R.C. "Preliminary Notes on Sung Archaeology," ''The Journal of Asian Studies'' (Volume 22, Number 2, 1963): 169–177.</ref> Hong Mai (1123–1202) used ancient Han Dynasty era vessels to debunk what he found to be fallacious descriptions of Han vessels in the ''Bogutu'' archaeological catalogue compiled during the latter half of [[Emperor Huizong of Song|Huizong's reign]] (1100–1125).<ref name="rudolph"/>

===Geology and climatology===
In addition to his studies in meteorology, astronomy, and archaeology mentioned above, Shen Kuo also made hypotheses in regards to [[geology]] and [[climatology]] in his ''[[Dream Pool Essays]]'' of 1088, specifically his claims regarding [[geomorphology]] and [[climate change]]. Shen believed that land was reshaped over time due to perpetual [[erosion]], uplift, and deposition of [[silt]], and cited his observance of horizontal strata of fossils embedded in a [[Taihang Mountains|cliffside at Taihang]] as evidence that the area was once the location of an ancient seashore that had shifted hundreds of miles east over an enormous span of time.<ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 603–4, 618.</ref><ref>Nathan Sivin, ''Science in Ancient China: Researches and Reflections.'' (Brookfield, Vermont: VARIORUM, Ashgate Publishing, 1995), Chapter III, pp. 23.</ref><ref name="chan clancey loy">Alan Kam-leung Chan, Gregory K. Clancey, and Hui-Chieh Loy, ''Historical Perspectives on East Asian Science, Technology and Medicine'' (Singapore: Singapore University Press, 2002, ISBN 9971692597) pp. 15.</ref> Shen also wrote that since petrified bamboos were found underground in a dry northern climate zone where they had never been known to grow, climates naturally shifted geographically over time.<ref name="chan clancey loy" /><ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 618.</ref>

===Magnetism, mathematics, and metallurgy===
{{Main|Chinese mathematics|History of metallurgy in China|Chinese alchemy}}
Shen Kuo's written work of 1088 also contains the first written description of the magnetic needle [[compass]], the first description in China of experiments with [[camera obscura]], the invention of [[movable type]] printing by the artisan [[Bi Sheng]] (990–1051), a method of repeated forging of [[cast iron]] under a [[cold blast]] similar to the modern [[Bessemer process]], and the mathematical basis for [[spherical trigonometry]] that would later be mastered by the astronomer and engineer [[Guo Shoujing]] (1231–1316).<ref>Sal Restivo, ''Mathematics in Society and History: Sociological Inquiries'' (Dordrecht: Kluwer Academic Publishers, 1992, ISBN 1402000391), pp 32.</ref><ref>Nathan Sivin, ''Science in Ancient China: Researches and Reflections.'' (Brookfield, Vermont: VARIORUM, Ashgate Publishing, 1995), Chapter III, pp. 21, 27, & 34.</ref><ref>Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 1, Physics'' (Taipei: Caves Books Ltd., 1986), pp. 98 & 252.</ref><ref name="hsu">Hsu, Mei-ling. "Chinese Marine Cartography: Sea Charts of Pre-Modern China," ''Imago Mundi'' (Volume 40, 1988): 96–112.</ref><ref>Jacques Gernet, ''A History of Chinese Civilization'' (Cambridge: Cambridge University Press, 1996, ISBN 0521497817), pp. 335.</ref><ref>Joseph Needham, ''Science and Civilization in China: Volume 5, Chemistry and Chemical Technology, Part 1: Paper and Printing'' (Taipei: Caves Books, Ltd, 1986), pp 201.</ref><ref>Hartwell, Robert. "Markets, Technology, and the Structure of Enterprise in the Development of the Eleventh-Century Chinese Iron and Steel Industry," The Journal of Economic History (Volume 26, Number 1, 1966): 29–58.</ref> While using a sighting tube of improved width to correct the position of the [[polestar]] (which had shifted over the centuries), Shen discovered the concept of [[true north]] and [[magnetic declination]] towards the [[North Magnetic Pole]], a concept which would aid navigators in the years to come.<ref>Nathan Sivin, ''Science in Ancient China: Researches and Reflections.'' (Brookfield, Vermont: VARIORUM, Ashgate Publishing, 1995), Chapter III, pp. 22.</ref><ref>Peter Mohn, ''Magnetism in the Solid State: An Introduction'' (New York: Springer-Verlag Inc., 2003, ISBN 3540431837), pp. 1.</ref>

[[Qin Jiushao]] (c. 1202–1261) was the first to introduce the [[0 (number)|zero symbol]] into Chinese mathematics.<ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 43.</ref> Before this innovation, blank spaces were used instead of zeros in the system of [[counting rods]].<ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 62–3.</ref> [[Pascal's triangle]] was first illustrated in China by Yang Hui in his book ''Xiangjie Jiuzhang Suanfa'' (详解九章算法), although it was described earlier around 1100 by [[Jia Xian]].<ref>Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 134–7.</ref> Although the ''Introduction to Computational Studies'' (算学启蒙) written by [[Zhu Shijie]] (fl. 13th century) in 1299 contained nothing new in Chinese [[algebra]], it had a great impact on the development of [[Japanese mathematics]].<ref>Joseph Needham, ''Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth'' (Taipei: Caves Books, Ltd., 1986) pp. 46.</ref>

In addition to the method similar to the Bessemer process mentioned above, there were other notable advancements in Chinese metallurgy during the Middle Ages. During the 11th century, the growth of the iron industry caused vast [[deforestation]] due to the use of [[charcoal]] in the smelting process.<ref name="wagner">Wagner, Donald B. "The Administration of the Iron Industry in Eleventh-Century China," Journal of the Economic and Social History of the Orient (Volume 44 2001): 175–197.</ref><ref name="ebrey walthall palais 158">Patricia B. Ebrey, Anne Walthall, and James B. Palais, ''East Asia: A Cultural, Social, and Political History'' (Boston: Houghton Mifflin Company, 2006, ISBN 0-618-13384-4), pp. 158.</ref> To remedy the problem of deforestation, the Song Chinese discovered how to produce [[coke (fuel)|coke]] from [[bituminous coal]] as a substitute for charcoal.<ref name="wagner"/><ref name="ebrey walthall palais 158"/> Although hydraulic-powered [[bellows]] for heating the [[blast furnace]] had been written of since [[Du Shi]]'s (d. 38) invention of the 1st century CE, the first known drawn and printed illustration of it in operation is found in a book written in 1313 by [[Wang Zhen (official)|Wang Zhen]] (fl. 1290–1333).<ref>Joseph Needham, ''Science and Civilization in China: Volume 4, Physics and Physical Technology, Part 2, Mechanical Engineering'' (Taipei: Caves Books, Ltd., 1986), pp. 376.</ref>

===Alchemy and Daoism===
In their pursuit for an [[elixir of life]] and desire to create gold from various mixtures of materials, [[Daoism|Daoists]] became heavily associated with [[alchemy]].<ref name="fairbank 81">John King Fairbank and Merle Goldman, ''China: A New History'' (Cambridge: MA; London: The Belknap Press of Harvard University Press, 2nd ed., 2006, ISBN 0-674-01828-1), pp. 81.</ref> [[Joseph Needham]] labeled their pursuits as proto-scientific rather than merely [[pseudoscience]].<ref name="fairbank 81"/> Fairbank and Goldman write that the futile experiments of Chinese alchemists did lead to the discovery of new metal [[alloy]]s, [[porcelain]] types, and [[dye]]s.<ref name="fairbank 81"/> However, [[Nathan Sivin]] discounts such a close connection between Daoism and alchemy, which some [[sinology|sinologists]] have asserted, stating that alchemy was more prevalent in the secular sphere and practiced by laymen.<ref>Nathan Sivin, [http://ccat.sas.upenn.edu/~nsivin/7tao.html "Taoism and Science" in ''Medicine, Philosophy and Religion in Ancient China''] (Variorum, 1995). Retrieved on 2008-08-13.</ref>

Experimentation with various materials and ingredients in China during the middle period led to the discovery of many ointments, creams, and other mixtures with practical uses. In a 9th century Arab work ''Kitāb al-Khawāss al Kabīr'', there are numerous products listed that were native to China, including waterproof and dust-repelling cream or varnish for clothes and weapons, a [[Lacquerware|Chinese lacquer]], varnish, or cream that protected leather items, a completely fire-proof cement for glass and porcelain, recipes for [[Indian ink|Chinese and Indian ink]], a waterproof cream for the silk garments of underwater divers, and a cream specifically used for polishing mirrors.<ref>Joseph Needham, ''Science and Civilization in China: Volume 5, Chemistry and Chemical Technology, Part 4, Spagyrical Discovery and Invention: Apparatus, Theories and Gifts'' (Taipei: Caves Books Ltd., 1986), pp. 452.</ref>

==Major accomplishments==
{{Synthesis|date=August 2010}}
{{HistOfScience}}
Although there were numerous scientific accomplishments during the Middle Ages the following are notable discoveries which advanced the world of science.

* [[Scientific method]] &mdash; The scientific method, as systematic approach to theory and experimentation, developed during the Middle Ages due to the work of scholars such as [[Alhazen]],<ref name=Gorini/> [[Biruni]], [[Roger Bacon]],<ref>Glick, Thomas F.; Livesey, Steven John; Wallis, Faith: ''[http://books.google.com/books?id=SaJlbWK_-FcC Medieval Science, Technology, and Medicine: An Encyclopedia], pg. 89–90, Routledge, 2005, ISBN 0415969301.</ref><ref>Hackett, Jeremiah: ''[http://books.google.com/books?id=Gy3Vp7TurVUC Roger Bacon and the Sciences: Commemorative Essays]'', Brill Academic Publishers, 1997, ISBN 9004100156</ref> and [[Robert Grosseteste]], who produced a systemized process of scientific enquiry based upon observation, experimentation and verification of hypotheses.<ref>Parkinson, Claire: ''Breakthroughs. A chronology of great achievements in science and mathematics.'' Mansell 1985, ISBN 0-7201-1800-X, p4</ref>
* [[Arithmetic]] and [[Algebra]] &mdash; the Islamic scholar [[Al-Khwarizmi]] was the author of two books that changed the face of{{Clarify|date=April 2009}} both Islamic and European mathematics. His “De numero indorum” (which only exists in Latin translation; no Arabic original is known) introduced the [[Hindu-Arabic numeral system|Hindu decimal place value number system]] first into the Arab world in the 9th Century and then into Europe in the 12th Century. His “al-Kitab al-mukhtasar fi hisab al-jabr wa'l-muqabala” was a compendium of basic algebra, a word taken from the title of the book, drawn from Babylonian, Greek and Indian sources. In it he demonstrates how to solve linear and quadratic equations but only those with positive solutions. [[Brahmagupta]], one of his main sources, was already dealing with negative solutions in the 7th Century. Later Islamic mathematicians extended [[Al-Khwarizmi]]’s results to those polynomials of higher degree that could be reduced to quadratics through substitution. His arithmetic was taught as [[Algorithm]]us, a corruption of his name, in mediaeval universities as a part of [[computus]]. His arithmetic and algebra were popularised in Europe through the publication of the [[Liber Abaci|Liber abbaci]] by [[Leonardo of Pisa]] in the 13th century.<ref>Boyer, Carl B.: "A History of Mathematics" John Wiley & Sons 1968 pp. 251–8</ref><ref>Brezina, Corona: ''[http://books.google.com/books?id=3Sfrxde0CXIC&printsec=frontcover&dq=algebra+khwarizmi&sig=nOi2Ywc_dLrFXMgMKhbfNoM5uzs Al-Khwarizmi: The Inventor of Algebra]'', The Rosen Publishing Group, 2006, 112 pages, ISBN 1404205136</ref>
* [[Differential calculus]] &mdash; The concepts of [[tangent|tangential lines]] and [[infinitesimal]]s were developed by the ancient Greeks including [[Archimedes]]; however, it was Medieval scholars, notably [[Bhāskara II|Bhaskara]], that developed the basic mathematical framework for modern differential calculus.<ref>Singh, Manpal: ''[Modern Teaching of Mathematics http://books.google.com/books?id=-fcsODosivQC]'', pg. 385, Anmol Publications PVT
. LTD., 2005, ISBN 812612105X</ref><ref>Goonatilake, Susantha: ''[http://books.google.com/books?id=MdgnAiDFSLUC Toward a Global Science: Mining Civilizational Knowledge]'', Indiana University Press, 1998, 314 pages, ISBN 0253211824</ref>
* [[Mechanics]] &mdash; In the 6th Century, [[John Philoponus]] in his critique of [[Aristotle]]’s [[Aristotelian physics|theory of motion]], introduced the concept of “impressed force” to explain why thrown objects continued to move after losing contact with the thrower. This [[theory of impetus]] was modified by Islamic scholars such as [[Avicenna]] in the 11th century, who theorized the concepts of [[inertia]]<ref name=Sayili>[[Aydin Sayili]] (1987), "Ibn Sīnā and Buridan on the Motion of the Projectile", ''Annals of the New York Academy of Sciences'' '''500''' (1): 477–482 [477]: {{quote|"Indeed, self-motion of the type conceived by Ibn Sina is almost the opposite of the Aristotelian conception of violent motion of the projectile type, and it is rather reminiscent of the principle of inertia, i.e., Newton's first law of motion."}}</ref> and [[momentum]],<ref name=Razavi>{{Cite book|title=The Islamic intellectual tradition in Persia|author=[[Seyyed Hossein Nasr]] & Mehdi Amin Razavi|publisher=[[Routledge]]|year=1996|isbn=0700703144|page=72|ref=harv|postscript=<!--None-->}}</ref> as well as by [[Ibn Bajjah|Avempace]]&mdash;who developed the concept of a [[Reaction (physics)|reaction force]]<ref name=Pines-1964>[[Shlomo Pines]] (1964), "La dynamique d’Ibn Bajja", in ''Mélanges Alexandre Koyré'', I, 442–468 [462, 468], Paris
<br />([[cf.]] Abel B. Franco (October 2003), "Avempace, Projectile Motion, and Impetus Theory", ''Journal of the History of Ideas'' '''64''' (4): 521–546 [543])</ref>&mdash; and [[Hibat Allah Abu'l-Barakat al-Baghdaadi|Abu’l Barakat]]&mdash; who developed the concept that [[force]] applied continuously produces [[acceleration]]<ref name=Pines-1970>{{cite encyclopedia | last = [[Shlomo Pines]] | title = Abu'l-Barakāt al-Baghdādī , Hibat Allah | encyclopedia = [[Dictionary of Scientific Biography]] | volume = 1 | pages = 26–28 | publisher = Charles Scribner's Sons | location = New York | year = 1970 | isbn = 0684101149}}
<br />([[cf.]] Abel B. Franco (October 2003). "Avempace, Projectile Motion, and Impetus Theory", ''Journal of the History of Ideas'' '''64''' (4), p. 521–546 [528].)</ref>&mdash; in the 12th century. These concepts were adopted by various European thinkers, achieving their most developed form in the hands of [[Jean Buridan]] in the 14th century. [[Galileo]] further developed this into the [[Inertia|theory of inertia]], which after further modification, through [[Descartes]], became [[Isaac Newton|Newton]]’s [[Laws of Motion|First Law of Motion]].<ref>Grant Edward: ''The Foundations of Modern Science in the Middle Ages '' CUP 1996, pp. 94–6, ISBN 0-521-56137-X</ref>
* [[Optics]] &mdash; the Greeks treated [[optics]] as three independent disciplines: theories of philosophical or physical optics (the [[atomists]], [[Plato]], [[Aristotle]], and the [[Stoics]]); physiological theories of the eye ([[Galen]]); and [[geometrical optics]] ([[Euclid]], [[Hero of Alexandria]], and [[Ptolemaeus]]).<ref>Lindberg, David C. "Theories of Vision from Al-Kindi to Kepler" University of Chicago Press 1976 pp. 1–16</ref> In the 10th Century the Islamic polymath [[Alhazen]] became the first thinker to combine all three fields into an integrated science of optics.<ref name=Lindberg>Lindberg pp. 58–86</ref> This was however not just a work of synthesis, as he made original contribution to the field. Whereas the Greeks had merely assumed the linear propagation of light, [[Alhazen]] proved it with empirical experiments. In the 13th Century [[Robert Grosseteste]] developed a unified theory of light based on the works of [[Al-Kindi]] and Ptolemaeus.<ref>A. C. Crombie "Grosseteste and Experimental Science", OUP, 1953 chapts. V. & VI.</ref> [[Roger Bacon]] adopted Grosseteste's theories and expanded them to include the optics of [[Alhazen]].<ref>Lindberg pp. 107–116</ref> [[John Pecham]] and [[Witelo]] expanded on Bacon's work<ref>Lindberg pp. 116–121</ref> and provided the fundament on which [[Kepler]] erected the modern theory of optics.<ref>Lindberg pp. 185–190</ref>
* [[Alchemy]] & [[chemistry]] &mdash; As with other disciplines, [[alchemy and chemistry in Islam]] was drawn from multiple sources: [[Alchemy in history|Egyptian, Greek, Indian]] and [[Chinese alchemy|Chinese]], and as with other disciplines the whole was significantly greater than the parts. Islamic culture created a vast corpus of alchemic literature that through transfer into Europe during the [[High Middle Ages]] and the [[Renaissance]] had a major effect on the development of science. The most influential texts were the so-called [[Geber|Jaberian]] corpus (much of which was written in the 10th century by the Ism’iliya, or [[Brethren of Purity|Brotherhood of Purity]]), the ''[[Pseudo-Geber|Summa Perfectionis]]'' of Paulus de Tarento and the ''Secret of Secrets'' of [[al-Razi]]. The first two introduced [[atomism]] and the [[Alchemy (Islam)|sulphur-mercury theory]] as competitors to [[Aristotle]]’s theory of matter. [[Al-Razi]] described many of the methods and much of the equipment that formed the basis of work in [[chemistry]], [[metallurgy]] and [[pharmacology]] up to the middle of the 19th century.<ref>Brock, William H.: "The Fontana History Of Chemistry", Fontana 1992 pp. 20–3</ref>
* [[Trigonometry]] &mdash; developed in ancient times by [[Hipparchus]], [[Menelaus of Alexandria|Menelaus]] and [[Ptolemy|Ptolemaeus]] in order to facilitate their astronomical calculations. In [[Greek mathematics|Greek trigonometry]], angles were represented by the chords of a circle. Menelaus laid the foundations for spherical trigonometry in his ''Sphaerica'' whilst Ptolemaeus produced the most extensive ancient trigonometry text as part of his ''[[Almagest|Syntaxis Mathematike]]''.<ref>Boyer, Carl B.: "A History of Mathematics" John Wiley & Sons 1968 pp. 176–194</ref> [[Indian mathematics|Hindu mathematicians]], who may have borrowed much from [[Greek astronomy]], replaced the Greek chordal trigonometry with half-chords producing the equivalent of our [[sine]] and [[cosine]]. The most important Hindu trigonometry texts are the ''[[Surya Siddhanta]]'' (4th Century), the ''[[Aryabhatiya]]'' (5th Century) and the ''[[Bhaskara II|Siddhanta Shiromani]]'' (12th Century); as with the Greeks, all of these are astronomy texts.<ref>Kline, Morris: "Mathematical Thought from Ancient to Modern Times" OUP 1972 p. 189</ref><ref>Boyer, Carl B.: "A History of Mathematics" John Wiley & Sons 1968 pp. 231–246</ref> The [[Islamic mathematics|Islamic mathematicians]] and astronomers took over the mathematical astronomy of Ptolemaeus, [[Aryabhata]] and [[Brahmagupta]], and introduced the [[secant]], [[cosecant]], [[tangent]] and [[cotangent]]. In the 13th century, [[Nasīr al-Dīn al-Tūsī|al-Tusi]] produced the first complete work on planar and [[spherical trigonometry]], treating it as a discrete mathematical discipline independent of astronomy.<ref>Boyer, Carl B.: "A History of Mathematics" John Wiley & Sons 1968 pp. 261–7</ref> Trigonometry was introduced to Western Europe during the [[Latin translations of the 12th century]], and later came into wider use due to [[Peurbach]] and [[Regiomontanus]] in the middle of the 15th century. Like the [[Islamic astronomy|Islamic astronomers]], they replaced the Ptolemaic chordal trigonometry with Hindu-Arabic half-chord trigonometry.
* Accurate [[Lunar theory|lunar models]] &mdash; The motions of the moon and planets had been studied for millennia. The Middle Ages produced the first model of lunar motion (developed by [[Ibn al-Shatir]]) which matched physical observations. This and other developments in planetary models are believed to have been used by the [[Renaissance]] astronomer [[Copernicus]].<ref name=Saliba-2007>[[George Saliba]] (2007), [http://youtube.com/watch?v=GfissgPCgfM Lecture at SOAS, London - Part 4/7] and [http://youtube.com/watch?v=0VMBRAd6YBU Lecture at SOAS, London - Part 5/7]</ref>
Because of the decline of the [[Byzantine Empire]] and the medieval [[Muslim empire]]s much of the scientific progress of the medieval period slowed significantly during the late Middle Ages. Progress was finally re-ignited by the European ''[[Scientific Revolution]]'' which followed its [[Renaissance]] period.


==See also==
==See also==

Revision as of 14:14, 19 August 2010

Scientific activities were carried on throughout the Middle Ages in areas as diverse as astronomy, medicine, and mathematics. Whereas the ancient cultures of the world (i.e. those prior to the fall of Rome and the dawn of Islam) had developed many of the foundations of science, it was during the Middle Ages that the scientific method was born and science became a formal discipline separate from philosophy.[1][2][3] The historical term "Middle Ages" developed within the context of European historiography.[4] In this article it's scope is restricted to Western Europe, the Byzantine Empire and the Islamic world.

In the Middle Ages the Byzantine Empire, which had inherited the sophisticated science, mathematics, and medicine of classical antiquity and the Hellenistic era, soon fell behind the achievements of Western Europe and the Islamic world.[5] Following the fall of the Western Roman Empire and the decline in knowledge of Greek, Christian Western Europe was cut off from an important source of ancient learning. However, a range of Christian clerics and scholars from Isidore and Bede to Buridan and Oresme maintained the spirit of rational inquiry which would later lead to Europe's taking the lead in science during the Scientific Revolution.

Western Europe

Science, and particularly geometry and astronomy, was linked directly to the divine for most medieval scholars. Since God created the universe after geometric and harmonic principles, to seek these principles was therefore to seek and worship God.

As Roman imperial authority effectively ended in the West during the 5th century, Western Europe entered the Middle Ages with great difficulties that affected the continent's intellectual production dramatically. Most classical scientific treatises of classical antiquity written in Greek were unavailable, leaving only simplified summaries and compilations. Nonetheless, Roman and early medieval scientific texts were read and studied, contributing to the understanding of nature as a coherent system functioning under divinely established laws that could be comprehended in the light of reason. This study continued through the Early Middle Ages, and with the Renaissance of the 12th century, interest in this study was revitalized through the translation of Greek and Arabic scientific texts. Scientific study further developed within the emerging medieval universities, where Greek texts were studied and elaborated, leading to new insights into the phenomena of the universe. These advances are virtually unknown to the lay public of today, partly because most theories advanced in medieval science are today obsolete, and partly because of the caricature of Middle Ages as a supposedly "Dark Age" which placed "the word of religious authorities over personal experience and rational activity."[6]

Early Middle Ages (AD 476–1000)

In the ancient world, Greek had been the primary language of science. Even under the Roman Empire, Latin texts drew extensively on Greek work, some pre-Roman, some contemporary; while advanced scientific research and teaching continued to be carried on in the Hellenistic side of the empire, in Greek. Late Roman attempts to translate Greek writings into Latin had limited success.[7]

As the knowledge of Greek declined during the transition to the Middle Ages, the Latin West found itself cut off from its Greek philosophical and scientific roots. Most scientific inquiry came to be based on information gleaned from sources which were often incomplete and posed serious problems of interpretation. Latin-speakers who wanted to learn about science only had access to books by such Roman writers as Calcidius, Macrobius, Martianus Capella, Boethius, Cassiodorus, and later Latin encyclopedists. Much had to be gleaned from non-scientific sources: Roman surveying manuals were read for what geometry was included.[8]

Deurbanization reduced the scope of education and by the sixth century teaching and learning moved to monastic and cathedral schools, with the center of education being the study of the Bible.[9] Education of the laity survived modestly in Italy, Spain, and the southern part of Gaul, where Roman influences were most long-lasting. In the seventh century, learning began to emerge in Ireland and the Celtic lands, where Latin was a foreign language and Latin texts were eagerly studied and taught.[10]

In the Early Middle Ages, scientific study was concentrated at monasteries

The leading scholars of the early centuries were clergymen for whom the study of nature was but a small part of their interest. They lived in an atmosphere which provided little institutional support for the disinterested study of natural phenomena. The study of nature was pursued more for practical reasons than as an abstract inquiry: the need to care for the sick led to the study of medicine and of ancient texts on drugs,[11] the need for monks to determine the proper time to pray led them to study the motion of the stars,[12] the need to compute the date of Easter led them to study and teach rudimentary mathematics and the motions of the Sun and Moon.[13] Modern readers may find it disconcerting that sometimes the same works discuss both the technical details of natural phenomena and their symbolic significance.[14]

Around 800, Charles the Great, assisted by the English monk Alcuin of York, undertook what has become known as the Carolingian Renaissance, a program of cultural revitalization and educational reform. The chief scientific aspect of Charlemagne's educational reform concerned the study and teaching of astronomy, both as a practical art that clerics required to compute the date of Easter and as a theoretical discipline.[15] From the year 787 on, decrees were issued recommending the restoration of old schools and the founding of new ones throughout the empire. Institutionally, these new schools were either under the responsibility of a monastery, a cathedral or a noble court.

The scientific work of the period after Charlemagne was not so much concerned with original investigation as it was with the active study and investigation of ancient Roman scientific texts.[16] This investigation paved the way for the later effort of Western scholars to recover and translate ancient Greek texts in philosophy and the sciences.

High Middle Ages (AD 1000–1300)

The translation of Greek and Arabic works allowed the full development of Christian philosophy and the method of scholasticism

Beginning around the 1050, European scholars built upon their existing knowledge by seeing out ancient learning in Greek and Arabic texts which they translated into Latin. They encountered a wide range of classical Greek texts, some of which had earlier been translated into Arabic, accompanied by commentaries and independent works by Islamic thinkers.

Gerard of Cremona is a good example: an Italian who came to Spain to copy a single text, he stayed on to translate some seventy works.[17] His biography describes how he came to Toledo: "He was trained from childhood at centers of philosophical study and had come to a knowledge of all that was known to the Latins; but for love of the Almagest, which he could not find at all among the Latins, he went to Toledo; there, seeing the abundance of books in Arabic on every subject and regretting the poverty of the Latins in these things, he learned the Arabic language, in order to be able to translate." [18]

Map of Medieval Universities. They started a new infrastructure which was needed for scientific communities.

This period also saw the birth of medieval universities, which benefited materially from the translated texts and provided a new infrastructure for scientific communities. Some of these new universities were registered as an institution of international excellence by the Holy Roman Empire, receiving the title of Studium Generale. Most of the early Studia Generali were found in Italy, France, England, and Spain, and these were considered the most prestigious places of learning in Europe. This list quickly grew as new universities were founded throughout Europe. As early as the 13th century, scholars from a Studium Generale were encouraged to give lecture courses at other institutes across Europe and to share documents, and this led to the current academic culture seen in modern European universities.

The rediscovery of the works of Aristotle, alongside the works of medieval Islamic and Jewish philosophers (such as Avicenna, Averroes and Maimonides) allowed the full development of the new Christian philosophy and the method of scholasticism. By 1200 there were reasonably accurate Latin translations of the main works of Aristotle, Euclid, Ptolemy, Archimedes, and Galen, that is, of all the intellectually crucial ancient authors except Plato, and many of the crucial medieval Arabic and Jewish texts, such as the main works of Jābir ibn Hayyān, al-Khwarizmi, al-Kindi, Rhazes, Alhazen, Avicenna, Avempace, Averroes and Maimonides.[19] During the thirteenth century, scholastics expanded the natural philosophy of these texts by commentaries (associated with teaching in the universities) and independent treatises. Notable among these were the works of Robert Grosseteste, Roger Bacon, John of Sacrobosco, Albertus Magnus, and Duns Scotus.

Scholastics believed in empiricism and supporting Roman Catholic doctrines through secular study, reason, and logic. The most famous was Thomas Aquinas (later declared a "Doctor of the Church"), who led the move away from the Platonic and Augustinian and towards Aristotelianism (although natural philosophy was not his main concern). Meanwhile, precursors of the modern scientific method can be seen already in Grosseteste's emphasis on mathematics as a way to understand nature and in the empirical approach admired by Roger Bacon.

Grosseteste was the founder of the famous Oxford franciscan school. He built his work on Aristotle's vision of the dual path of scientific reasoning. Concluding from particular observations into a universal law, and then back again: from universal laws to prediction of particulars. Grosseteste called this "resolution and composition". Further, Grosseteste said that both paths should be verified through experimentation in order to verify the principals. These ideas established a tradition that carried forward to Padua and Galileo Galilei in the 17th century.

Optical diagram showing light being refracted by a spherical glass container full of water. (from Roger Bacon or Robert Grosseteste)

Under the tuition of Grosseteste and inspired by the writings of Arab alchemists who had preserved and built upon Aristotle's portrait of induction, Bacon described a repeating cycle of observation, hypothesis, experimentation, and the need for independent verification. He recorded the manner in which he conducted his experiments in precise detail so that others could reproduce and independently test his results - a cornerstone of the scientific method, and a continuation of the work of researchers like Al Battani.

Bacon and Grosseteste conducted investigations into optics, although much of it was similar to what was being done at the time by Arab scholars. Bacon did make a major contribution to the development of science in medieval Europe by writing to the Pope to encourage the study of natural science in university courses and compiling several volumes recording the state of scientific knowledge in many fields at the time. He described the possible construction of a telescope, but there is no strong evidence of his having made one.

Late Middle Ages (AD 1300–1500)

The first half of the 14th century saw the scientific work of great thinkers. The logic studies by William of Occam led him to postulate a specific formulation of the principle of parsimony, known today as Occam's Razor. This principle is one of the main heuristics used by modern science to select between two or more underdetermined theories.

As Western scholars became more aware (and more accepting) of controversial scientific treatises of the Byzantine and Islamic Empires these readings sparked new insights and speculation. The works of the early Byzantine scholar John Philoponus inspired Western scholars such as Jean Buridan to question the received wisdom of Aristotle's mechanics. Buridan developed the theory of impetus which was a step towards the modern concept of inertia. Buridan anticipated Isaac Newton when he wrote:

Galileo's demonstration of the law of the space traversed in case of uniformly varied motion. It's the same demonstration that Oresme had made centuries earlier.
...after leaving the arm of the thrower, the projectile would be moved by an impetus given to it by the thrower and would continue to be moved as long as the impetus remained stronger than the resistance, and would be of infinite duration were it not diminished and corrupted by a contrary force resisting it or by something inclining it to a contrary motion

Thomas Bradwardine and his partners, the Oxford Calculators of Merton College, Oxford, distinguished kinematics from dynamics, emphasizing kinematics, and investigating instantaneous velocity. They formulated the mean speed theorem: a body moving with constant velocity travels distance and time equal to an accelerated body whose velocity is half the final speed of the accelerated body. They also demonstrated this theorem—essence of "The Law of Falling Bodies" -- long before Galileo is credited with this.

In his turn, Nicole Oresme showed that the reasons proposed by the physics of Aristotle against the movement of the earth were not valid and adduced the argument of simplicity for the theory that the earth moves, and not the heavens. Despite this argument in favor of the Earth's motion Oresme, fell back on the commonly held opinion that "everyone maintains, and I think myself, that the heavens do move and not the earth."[20]

The historian of science Ronald Numbers notes that the modern scientific assumption of methodological naturalism can be also traced back to the work of these medieval thinkers:

By the late Middle Ages the search for natural causes had come to typify the work of Christian natural philosophers. Although characteristically leaving the door open for the possibility of direct divine intervention, they frequently expressed contempt for soft-minded contemporaries who invoked miracles rather than searching for natural explanations. The University of Paris cleric Jean Buridan (a. 1295-ca. 1358), described as "perhaps the most brilliant arts master of the Middle Ages," contrasted the philosopher’s search for "appropriate natural causes" with the common folk’s erroneous habit of attributing unusual astronomical phenomena to the supernatural. In the fourteenth century the natural philosopher Nicole Oresme (ca. 1320–82), who went on to become a Roman Catholic bishop, admonished that, in discussing various marvels of nature, "there is no reason to take recourse to the heavens, the last refuge of the weak, or demons, or to our glorious God as if He would produce these effects directly, more so than those effects whose causes we believe are well known to us." [21]

However, a series of events that would be known as the Crisis of the Late Middle Ages was under its way. When came the Black Death of 1348, it sealed a sudden end to the previous period of massive scientific change. The plague killed a third of the people in Europe, especially in the crowded conditions of the towns, where the heart of innovations lay. Recurrences of the plague and other disasters caused a continuing decline of population for a century.

Renaissance of the 15th century

Leonardo da Vinci's Vitruvian Man

The 15th century saw the beginning of the cultural movement of the Renaissance. The rediscovery of Greek scientific texts, both ancient and medieval, was accelerated as the Byzantine Empire fell to the Ottoman Turks and many Byzantine scholars sought refuge in the West, particularly Italy. Also, the invention of printing was to have great effect on European society: the facilitated dissemination of the printed word democratized learning and allowed a faster propagation of new ideas.

When the Renaissance moved to Northern Europe that science would be revived, by figures as Copernicus, Francis Bacon, and Descartes (though Descartes is often described as an early Enlightenment thinker, rather than a late Renaissance one).

Byzantine world

Byzantine science played an important role in the transmission of classical knowledge to the Islamic world and to Renaissance Italy, and also in the transmission of medieval Arabic knowledge to Renaissance Italy.[22] Its rich historiographical tradition preserved ancient knowledge upon which splendid art, architecture, literature and technological achievements were built.

Mathematics

Byzantine scientists preserved and continued the legacy of the great Ancient Greek mathematicians and put mathematics in practice. In early Byzantium (5th to 7th century) the architects and mathematicians Isidore of Miletus and Anthemius of Tralles used complex mathematical formulas to construct the great “Agia Sophia” temple, a magnificent technological breakthrough for its time and for centuries afterwards due to its striking geometry, bold design and height. In late Byzantium (9th to 12th century) mathematicians like Michael Psellos considered mathematics as a way to interpret the world.

Islamic interactions

The Byzantine Empire initially provided the medieval Islamic world with Ancient Greek texts on astronomy and mathematics for translation into Arabic as the Empire was the leading center of scientific scholarship in the region in the early Middle Ages. Later as the Muslim world became the center of scientific knowledge, Byzantine scientists such as Gregory Choniades translated Arabic texts on Islamic astronomy, mathematics and science into Medieval Greek, including the works of Ja'far ibn Muhammad Abu Ma'shar al-Balkhi, Ibn Yunus, al-Khazini (a Muslim scientist of Byzantine Greek descent),[23] Muhammad ibn Mūsā al-Khwārizmī[24] and Nasīr al-Dīn al-Tūsī among others. There were also some Byzantine scientists who used Arabic transliterations to describe certain scientific concepts instead of the equivalent Ancient Greek terms (such as the use of the Arabic talei instead of the Ancient Greek hososcopus). Byzantine science thus played an important role in not only transmitting ancient Greek knowledge to Western Europe and the Islamic world, but in also transmitting Islamic knowledge to Western Europe, such as the transmission of the Tusi-couple, which later appeared in the work of Nicolaus Copernicus.[22] Byzantine scientists also became acquainted with Sassanid and Indian astronomy through citations in some Arabic works.[23]

Islamic world

Sample of Islamic medical text

Overview

In the Middle East, Greek philosophy was able to find some short-lived support by the newly created Islamic Caliphate (Islamic Empire). With the spread of Islam in the 7th and 8th centuries, a period of Islamic scholarship lasted until the 15th century. In the Islamic World, the Middle Ages is known as the Islamic Golden Age, when Islamic civilization and Islamic scholarship flourished. This scholarship was aided by several factors. The use of a single language, Arabic, allowed communication without need of a translator. Translations of Greek texts from Egypt and the Byzantine Empire, and Sanskrit texts from India, provided Islamic scholars a knowledge base to build upon.

In earlier Islamic versions of the scientific method, ethics played an important role. Islamic scholars used previous work in medicine, astronomy and mathematics as bedrock to develop new fields such as algebra,[25] chemistry,[26] clinical pharmacology,[27] experimental physics,[28] sociology,[29] and spherical trigonometry.[30]

Scientific method

Muslim scientists placed far greater emphasis on experiment than had the Greeks. This led to advances of scientific method in the Muslim world, where significant progress in methodology was made, beginning with the experiments (he calls them "demonstrations") of Ibn al-Haytham (Alhazen) on optics, in his Book of Optics circa 1021.[31] The most important development of the scientific method was the use of experiments to distinguish between competing scientific theories set within a generally empirical orientation, which began among Muslim scientists. Ibn al-Haytham is also regarded as the father of optics, especially for his empirical proof of the intromission theory of light.

Alchemy and chemistry

Muslim chemists and alchemists played an important role in the foundation of modern chemistry. Scholars such as Will Durant and Alexander von Humboldt regard Muslim chemists to be founders of chemistry,[26][32] particularly Jābir ibn Hayyān, who was a pioneer of chemistry,[33][34] for introducing an early experimental scientific method within the field, as well as the alembic, still, retort,[35] and the chemical processes of pure distillation, filtration, sublimation,[36] liquefaction, crystallisation, purification, oxidisation and evaporation.[35]

The study of traditional alchemy and the theory of the transmutation of metals were refuted by al-Kindi,[37] followed by Abū Rayhān al-Bīrūnī,[38] Avicenna,[39] and Ibn Khaldun. Nasīr al-Dīn al-Tūsī described a version of the concept of conservation of mass, noting that a body of matter is able to change, but is not able to disappear.[40]

Applied sciences

In the applied sciences, a significant number of inventions and technologies were produced by medieval Muslim scientists and engineers such as Abbas Ibn Firnas, Taqi al-Din, and particularly al-Jazari, who is considered a pioneer in modern engineering.[41] According to Fielding H. Garrison, the "Saracens themselves were the originators not only of algebra, chemistry, and geology, but of many of the so-called improvements or refinements of civilization, such as street lamps, window-panes, firework, stringed instruments, cultivated fruits, perfumes, spices, etc."[42]

During the Muslim Agricultural Revolution, Muslim scientists made significant advances in botany and laid the foundations of agricultural science. Muslim botanists and agriculturists demonstrated advanced agronomical, agrotechnical and economic knowledge in areas such as meteorology, climatology, hydrology, soil occupation, and the economy and management of agricultural enterprises. They also demosntrated agricultural knowledge in areas such as pedology, agricultural ecology, irrigation, preparation of soil, planting, spreading of manure, killing herbs, sowing, cutting trees, grafting, pruning vine, prophylaxis, phytotherapy, the care and improvement of cultures and plants, and the harvest and storage of crops.[43]

Astronomy and mathematics

In astronomy, Al-Battani improved the measurements of Hipparchus, preserved in the translation of the Greek Hè Megalè Syntaxis (The great treatise) translated as Almagest. Al-Battani also improved the precision of the measurement of the precession of the Earth's axis. Astronomical instruments such as the universal latitude-independent astrolabe and the equatorium were developed by al-Zarqālī. Al-Biruni conducted elaborate experiments related to astronomical phenomena.[44][45] Ibn al-Shatir produced a model of lunar motion which matched observations of the moon's apparent diameter, as well as a solar model which eliminated epicycles in order to match observations.[46] This and other developments in planetary models by Al-Battani, Averroes, and Maragha astronomers such as Nasir al-Din al-Tusi (Tusi-couple) and Mo'ayyeduddin Urdi (Urdi lemma) are believed to have been used by the Renaissance astronomer Copernicus in his heliocentric model.[47] The Earth's rotation and heliocentrism were also discussed by several Muslim astronomers such as Biruni, Al-Sijzi and Qutb al-Din al-Shirazi,[48] while Nasīr al-Dīn al-Tūsī criticized Ptolemy's claim that observational evidence disproved the earth's possible rotation and al-Birjandi developed an early hypothesis on "circular inertia."[49] Natural philosophy was also separated from astronomy by Alhazen, Ibn al-Shatir,[50] and al-Qushji.[49]

In mathematics, Al-Khwarizmi gave his name to the concept of the algorithm, while the term algebra is derived from his publication Al-Jabr. He recognized algebra as a distinct field of mathematics.[25][51] What is now known as Arabic numerals originally came from India, but Muslim mathematicians made several refinements to the number system, such as the introduction of decimal point notation. Other achievements of medieval Muslim mathematicians included the development of spherical trigonometry,[30] the discovery of all the trigonometric functions besides sine, al-Kindi's introduction of cryptanalysis and frequency analysis,[52] al-Karaji's introduction of algebraic calculus[53] and proof by mathematical induction,[54] the development of analytic geometry and a general formula for infinitesimal and integral calculus by Ibn al-Haytham,[55] the beginning of algebraic geometry by Omar Khayyam,[56][57] refutations of Euclidean geometry and the parallel postulate by Nasīr al-Dīn al-Tūsī and an attempt at a non-Euclidean geometry by Sadr al-Din,[58] and the development of symbolic algebra by Abū al-Hasan ibn Alī al-Qalasādī.[59]

Earth sciences

Muslim scientists made a number of contributions to the Earth sciences. Alkindus introduced experimentation into the Earth sciences.[60][failed verification] About 900, Al-Battani improved the precision of the measurement of the precession of the Earth's axis, thus continuing a millennium's legacy of measurements in his own land (Babylonia and Chaldea- the area now known as Iraq). Biruni is considered a pioneer of geodesy for his important contributions to the field.[61][62] Avicenna hypothesized on two causes of mountains in The Book of Healing. In cartography, the Piri Reis map drawn by the Ottoman cartographer Piri Reis in 1513, was one of the earliest world maps to include the Americas, and perhaps, Antarctica. His map of the world was considered the most accurate in the 16th century.

The earliest known treatises dealing with environmentalism and environmental science, especially pollution, were Arabic treatises written by al-Kindi, al-Razi, Ibn Al-Jazzar, al-Tamimi, al-Masihi, Avicenna, Ali ibn Ridwan, Abd-el-latif, and Ibn al-Nafis. Their works covered a number of subjects related to pollution such as air pollution, water pollution, soil contamination, municipal solid waste mishandling, and environmental impact assessments of certain localities.[63]

Medicine

Muslim physicians made a number of significant contributions to medicine. They set up the earliest dedicated hospitals in the modern sense of the word,[64] including psychiatric hospitals[65] and medical schools which issued diplomas to students qualified to become doctors of medicine.[66]

Al-Kindi wrote the De Gradibus, in which he demonstrated the application of quantification and mathematics to medicine and pharmacology, such as a mathematical scale to quantify the strength of drugs and the determination in advance of the most critical days of a patient's illness.[67] Abu al-Qasim (Abulcasis) helped lay the foudations for modern surgery,[68] with his Kitab al-Tasrif, in which he invented numerous surgical instruments.[69] Avicenna helped lay the foundations for modern medicine,[70] with The Canon of Medicine, which was responsible for the introduction of experimental medicine,[71] clinical trials,[72] randomized controlled trials,[73][74] efficacy tests,[75][76] and clinical pharmacology.[27] Ibn Zuhr (Avenzoar) was the earliest known experimental surgeon.[77] Ibn al-Nafis laid the foundations for circulatory physiology,[78] as he described the pulmonary circulation[79] and the capillary[80] and coronary circulations.[81][82]

Physics

Experimental physics had its roots in the work of the 11th-century Muslim polymath and physicist, Ibn al-Haytham (Alhazen),[83] who is considered the "father of modern optics"[84] and one of the most important physicists of the Middle Ages,[64] for having developed the earliest experimental scientific method in his Book of Optics.[1] Alhazen combined all three fields of optics (theories of philosophical or physical optics, physiological theories of the eye, and geometrical optics) into an integrated science of optics.[85] This was, however, not just a work of synthesis, as he made original contributions to the field. Whereas the Greeks had merely assumed the linear propagation of light, Alhazen proved it with empirical experiments. His Book of Optics has been ranked alongside Isaac Newton's Philosophiae Naturalis Principia Mathematica as one of the most influential books in the history of physics[86] for initiating a revolution in optics[87] and visual perception.[88]

Another important medieval Muslim physicist and polymath who contributed towards experimental physics was Abū Rayhān al-Bīrūnī, who developed the earliest experimental method for mechanics in the 11th century. Al-Biruni and Al-Khazini also unified statics and dynamics into the science of mechanics, and combined hydrostatics with dynamics to create the field of hydrodynamics.[89] The concept of inertia was theorized in the 11th century by the Islamic scholar Avicenna,[90] who also theorized the idea of momentum.[91] In the 12th century, Avempace developed the concept of a reaction force,ref name=Pines-1964>Shlomo Pines (1964), "La dynamique d’Ibn Bajja", in Mélanges Alexandre Koyré, I, 442–468 [462, 468], Paris
(cf. Abel B. Franco (October 2003), "Avempace, Projectile Motion, and Impetus Theory", Journal of the History of Ideas 64 (4): 521–546 [543])</ref> and Abu’l Barakat developed the concept that force applied continuously produces acceleration.[92] Galileo Galilei's mathematical treatment of acceleration and his concept of inertia[93] was influenced by the works of Avicenna,[94] Avempace and Jean Buridan.[95]

Other sciences

Muslim polymaths and scientists made advances in a number of other sciences. Some of the most famous among them include Jābir ibn Hayyān (polymath, pioneer of chemistry), al-Farabi (polymath), Abu al-Qasim al-Zahrawi or Abulcasis (pioneer in surgery),[68] Ibn al-Haytham (polymath, father of optics, pioneer of scientific method, pioneer in psychophysics and experimental psychology,[96] and experimental scientist), Abū Rayhān al-Bīrūnī (polymath, father of Indology[97] and geodesy, and the "first anthropologist"),[61] Avicenna (polymath, pioneer of medicine[70] and momentum concept),[98] Nasīr al-Dīn al-Tūsī (polymath), and Ibn Khaldun (forerunner of social sciences[99] such as demography,[62] cultural history,[100] historiography,[101] the philosophy of history, and sociology).[29]

See also

Notes

  1. ^ a b Gorini, Rosanna (2003). "Al-Haytham the man of experience. First steps in the science of vision" (PDF). Journal of the International Society for the History of Islamic Medicine. 2 (4): 53–5. Retrieved 2008-09-25. {{cite journal}}: Invalid |ref=harv (help); Unknown parameter |month= ignored (help)
  2. ^ Saliba, George: A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam, pg. 32, NYU Press, 1994, ISBN 0814780237
  3. ^ Dallal, Ahmad (2001–2002). "The Interplay of Science and Theology in the Fourteenth-century Kalam" (Document). From Medieval to Modern in the Islamic World, Sawyer Seminar at the University of Chicago. {{cite document}}: Invalid |ref=harv (help); Unknown parameter |accessdate= ignored (help); Unknown parameter |url= ignored (help)
  4. ^ Robinson, Fred C. (1984), "Medieval, the Middle Ages", Speculum, 59 (4): 745–56 {{citation}}: Unknown parameter |month= ignored (help)
  5. ^ Grant, Edward (1996), The Foundations of Modern Science in the Middle Ages: Their Religious, Institutional, and Cultural Contexts, Cambridge: Cambridge University Press, pp. 186–91, ISBN 0-521-56762-9
  6. ^ David C. Lindberg, "The Medieval Church Encounters the Classical Tradition: Saint Augustine, Roger Bacon, and the Handmaiden Metaphor", in David C. Lindberg and Ronald L. Numbers, ed. When Science & Christianity Meet, (Chicago: University of Chicago Pr., 2003), p.8
  7. ^ William Stahl, Roman Science, (Madison: Univ. of Wisconsin Pr.) 1962, see esp. pp. 120–33.
  8. ^ Edward Grant (1996). The Foundations of Modern Science in the Middle Ages. Cambridge University Press. pp. 13–14. ISBN 0-521-56137-X. OCLC 185336926 231694648 238829442 33948732. {{cite book}}: Check |oclc= value (help)
  9. ^ Pierre Riché, Education and Culture in the Barbarian West: From the Sixth through the Eighth Century (Columbia: Univ. of South Carolina Pr., 1976), pp. 100–29.
  10. ^ Pierre Riché, Education and Culture in the Barbarian West: From the Sixth through the Eighth Century (Columbia: Univ. of South Carolina Pr., 1976), pp. 307–23.
  11. ^ Linda E. Voigts, "Anglo-Saxon Plant Remedies and the Anglo-Saxons," Isis, 70(1979):250–68; reprinted in M. H. Shank, ed., The Scientific Enterprise in Antiquity and the Middle Ages, (Chicago: Univ. of Chicago Pr., 2000).
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References

External links

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