Ernst Mach (1838–1916)
Ernst Waldfried Josef Wenzel Mach
18 February 1838
|Died||19 February 1916 (aged 78)|
|Education||University of Vienna|
(PhD, 1860; Dr. phil. hab, 1861)
|Known for||Mach number|
Mach reflection effects
Criticism of Newton's bucket argument
|Institutions||University of Graz|
Charles-Ferdinand University (Prague)
University of Vienna
|Thesis||Über elektrische Ladungen und Induktion (1860)|
|Doctoral advisor||Andreas von Ettingshausen|
|Doctoral students||Heinrich Gomperz|
|Other notable students||Andrija Mohorovičić|
|Influences||Andreas von Ettingshausen|
Ernst Waldfried Josef Wenzel Mach (//; German: [ˈɛɐ̯nst ˈmax]; 18 February 1838 – 19 February 1916) was an Austrian physicist and philosopher, noted for his contributions to physics such as the study of shock waves. The ratio of one's speed to that of sound is named the Mach number in his honour. As a philosopher of science, he was a major influence on logical positivism and American pragmatism. Through his criticism of Newton's theories of space and time, he foreshadowed Einstein's theory of relativity.
Ernst Waldfried Josef Wenzel Mach was born in Chrlice (German: Chirlitz), Moravia (then in the Austrian Empire, now part of Brno in the Czech Republic). His father, who had graduated from Charles-Ferdinand University in Prague, acted as tutor to the noble Brethon family in Zlín in eastern Moravia. His grandfather, Wenzl Lanhaus, an administrator of the Chirlitz estate, was also master builder of the streets there. His activities in that field later influenced the theoretical work of Ernst Mach. Some sources give Mach's birthplace as Tuřany (German: Turas, now also part of Brno), the site of the Chirlitz registry-office. It was there that Ernst Mach was baptized by Peregrin Weiss. Mach later became a socialist and an atheist. His theory and life, though, was sometimes compared with Buddhism, namely by Heinrich Gomperz who addressed Mach as the "Buddha of Science" due to the phenomenalist approach of the "Ego" in his Analysis of Sensations.
Up to the age of 14, Mach received his education at home from his parents. He then entered a Gymnasium in Kroměříž (German: Kremsier), where he studied for three years. In 1855 he became a student at the University of Vienna. There he studied physics and for one semester medical physiology, receiving his doctorate in physics in 1860 under Andreas von Ettingshausen with a thesis titled Über elektrische Ladungen und Induktion, and his habilitation the following year. His early work focused on the Doppler effect in optics and acoustics. In 1864, he took a job as Professor of Mathematics at the University of Graz, having turned down the position of a chair in surgery at the University of Salzburg to do so, and in 1866 he was appointed as Professor of Physics. During that period, Mach continued his work in psycho-physics and in sensory perception. In 1867, he took the chair of Experimental Physics at the Charles-Ferdinand University, where he stayed for 28 years before returning to Vienna.
Mach's main contribution to physics involved his description and photographs of spark shock-waves and then ballistic shock-waves. He described how when a bullet or shell moved faster than the speed of sound, it created a compression of air in front of it. Using schlieren photography, he and his son Ludwig were able to photograph the shadows of the invisible shock waves. During the early 1890s Ludwig was able to invent an interferometer which allowed for much clearer photographs. But Mach also made many contributions to psychology and physiology, including his anticipation of gestalt phenomena, his discovery of the oblique effect and of Mach bands, an inhibition-influenced type of visual illusion, and especially his discovery of a non-acoustic function of the inner ear which helps control human balance.
One of the best-known of Mach's ideas is the so-called "Mach principle", concerning the physical origin of inertia. This was never written down by Mach, but was given a graphic verbal form, attributed by Philipp Frank to Mach himself, as, "When the subway jerks, it's the fixed stars that throw you down."
Mach also became well known for his philosophy, developed in close interplay with his science. Mach defended a type of phenomenalism recognizing only sensations as real. This position seemed incompatible with the view of atoms and molecules as external, mind-independent things. He famously declared, after an 1897 lecture by Ludwig Boltzmann at the Imperial Academy of Science in Vienna: "I don't believe that atoms exist!" From about 1908 to 1911 Mach's reluctance to acknowledge the reality of atoms was criticized by Max Planck as being incompatible with physics. Einstein's 1905 demonstration that the statistical fluctuations of atoms allowed measurement of their existence without direct individuated sensory evidence marked a turning point in the acceptance of atomic theory. Some of Mach's criticisms of Newton's position on space and time influenced Einstein, but later Einstein realized that Mach was basically opposed to Newton's philosophy and concluded that his physical criticism was not sound.
In 1898 Mach suffered from cardiac arrest and in 1901 he retired from the University of Vienna and was appointed to the upper chamber of the Austrian parliament. On leaving Vienna in 1913 he moved to his son's home in Vaterstetten, near Munich, where he continued writing and corresponding until his death in 1916, one day after his 78th birthday.
Most of Mach's initial studies in the field of experimental physics concentrated on the interference, diffraction, polarization and refraction of light in different media under external influences. From there followed important explorations in the field of supersonic fluid mechanics. Mach and physicist-photographer Peter Salcher presented their paper on this subject in 1887; it correctly describes the sound effects observed during the supersonic motion of a projectile. They deduced and experimentally confirmed the existence of a shock wave of conical shape, with the projectile at the apex. The ratio of the speed of a fluid to the local speed of sound vp/vs is now called the Mach number. It is a critical parameter in the description of high-speed fluid movement in aerodynamics and hydrodynamics. Mach also contributed to cosmology the hypothesis known as Mach's principle.
Philosophy of science
From 1895 to 1901, Mach held a newly created chair for "the history and philosophy of the inductive sciences" at the University of Vienna. In his historico-philosophical studies, Mach developed a phenomenalistic philosophy of science which became influential in the 19th and 20th centuries. He originally saw scientific laws as summaries of experimental events, constructed for the purpose of making complex data comprehensible, but later emphasized mathematical functions as a more useful way to describe sensory appearances. Thus scientific laws while somewhat idealized have more to do with describing sensations than with reality as it exists beyond sensations.
The goal which it (physical science) has set itself is the simplest and most economical abstract expression of facts.
When the human mind, with its limited powers, attempts to mirror in itself the rich life of the world, of which it itself is only a small part, and which it can never hope to exhaust, it has every reason for proceeding economically.
In reality, the law always contains less than the fact itself, because it does not reproduce the fact as a whole but only in that aspect of it which is important for us, the rest being intentionally or from necessity omitted.
In mentally separating a body from the changeable environment in which it moves, what we really do is to extricate a group of sensations on which our thoughts are fastened and which is of relatively greater stability than the others, from the stream of all our sensations. Suppose we were to attribute to nature the property of producing like effects in like circumstances; just these like circumstances we should not know how to find. Nature exists once only. Our schematic mental imitation alone produces like events.
Mach's positivism also influenced many Russian Marxists, such as Alexander Bogdanov (1873–1928). In 1908, Lenin wrote a philosophical work, Materialism and Empirio-criticism (published 1909) , in which he criticized Machism and the views of "Russian Machists" His main criticisms were that Mach's philosophy led to solipsism and to the absurd conclusion that nature did not exist before humans. (Lenin also cited in this work the concept of the 'ether', as the medium through which light waves propagated, and the concept of time as an absolute, concepts that were later proved wrong with further scientific developments).
Empirio-criticism is the term for the rigorously positivist and radically empiricist philosophy established by the German philosopher Richard Avenarius and further developed by Mach, which claims that all we can know is our sensations and that knowledge should be confined to pure experience.
In accordance with empirio-critical philosophy, Mach opposed Ludwig Boltzmann and others who proposed an atomic theory of physics. Since one cannot observe things as small as atoms directly, and since no atomic model at the time was consistent, the atomic hypothesis seemed to Mach to be unwarranted, and perhaps not sufficiently "economical". Mach had a direct influence on the Vienna Circle philosophers and the school of logical positivism in general.
To Mach are attributed a number of principles that distill his ideal of physical theorisation—what is now called "Machian physics":
- It should be based entirely on directly observable phenomena (in line with his positivistic leanings)
- It should completely eschew absolute space and time in favor of relative motion
- Any phenomena that would seem attributable to absolute space and time (e.g., inertia and centrifugal force) should instead be seen as emerging from the large scale distribution of matter in the universe.
The last is singled out, particularly by Albert Einstein, as "the" Mach's principle. Einstein cited it as one of the three principles underlying general relativity. In 1930, he stated that "it is justified to consider Mach as the precursor of the general theory of relativity", though Mach, before his death, would apparently reject Einstein's theory.[b] Einstein was aware that his theories did not fulfill all Mach's principles, and no subsequent theory has either, despite considerable effort.
According to Alexander Riegler, Ernst Mach's work was a precursor to the influential perspective known as constructivism. Constructivism holds that all knowledge is constructed rather than received by the learner. He took an exceptionally non-dualist, phenomenological position. The founder of radical constructivism, von Glasersfeld, gave a nod to Mach as an ally.
In 1873, independently of each other Mach and the physiologist and physician Josef Breuer discovered how the sense of balance (i.e., the perception of the head's imbalance) functions, tracing its management by information which the brain receives from the movement of a fluid in the semicircular canals of the inner ear. That the sense of balance depended on the three semicircular canals was discovered in 1870 by the physiologist Friedrich Goltz, but Goltz did not discover how the balance-sensing apparatus functioned. Mach devised a swivel chair to enable him to test his theories, and Floyd Ratliff has suggested that this experiment may have paved the way to Mach's critique of a physical conception of absolute space and motion.
In the area of sensory perception, psychologists remember Mach for the optical illusion called Mach bands. The effect exaggerates the contrast between edges of the slightly differing shades of gray, as soon as they contact one another, by triggering edge-detection in the human visual system.
In homage his name was given to:
- Mach, a lunar crater
- Mach bands, an optical illusion
- 3949 Mach, an asteroid
- Mach number, the unit for speed relative to the speed of sound
Mach's principal works in English:
- The Science of Mechanics. Translated by McCormack, Thomas J. (4th ed.). Chicago: The Open Court Publishing Co. 1919 .CS1 maint: ref=harv (link)
- "Photographische Fixirung der durch Projectile in der Luft eingeleiteten Vorgänge". Sitzungsber. Kaiserl. Akad. Wiss., Wien, Math.-Naturwiss. Cl. (in German). 95 (Abt. II): 764–780. 1887.CS1 maint: ref=harv (link) with Peter Slacher
- The Analysis of Sensations (1897)
- Popular Scientific Lectures (1895)
- "Space and Geometry from the Point of View of Physical Inquiry". Monist. 14 (1): 1–32. 1903. doi:10.5840/monist190314139. ISSN 0026-9662.CS1 maint: ref=harv (link) with S.J.B. Sugden
- History and Root of the Principle of the Conservation of Energy (1911)
- The Principles of Physical Optics (1926)
- Knowledge and Error (1976)
- Principles of the Theory of Heat (1986)
- Fundamentals of the Theory of Movement Perception (2001)
- Mach disk
- Mach bands
- Mach's principle
- Mach reflection
- Mach–Zehnder interferometer
- Visual space
- Woodward effect
- During his studies, Mach attended lectures held by Ernst Wilhelm Brücke and Carl Ludwig on physiology. Brücke and Ludwig were Johannes Peter Müller's students who created a new school of physiology in the 1840s.
- The preface of the posthumously published Principles of Physical Optics explicitly rejects Einstein's relativistic views but it has been argued that the text is inauthentic.
- Mach 1919, p. 227.
- "Ernst Waldfried Josef Wenzel Mach". whonamedit.com. Retrieved 19 August 2019.
- Mehra & Rechenberg 2001, p. 47.
- Pojman, Paul (21 May 2008). "Ernst Mach". Stanford Encyclopedia of Philosophy. Retrieved 19 August 2019.
- Blackmore 1972, p. 44.
- Blackmore 1972, p. 196.
- "Henri Poincaré", entry in the Stanford Encyclopedia of Philosophy.
- "Ernst Mach". Encyclopædia Britannica. 2016. Retrieved January 6, 2016.
- Blackmore 1972.
- Sonnert, Gerhard (2005). Einstein and Culture (illustrated ed.). Humanity Books. p. 221. ISBN 978-1-59102-316-6.
- Cohen & Seeger 1975, p. 158: And Mach, in personal conviction, was a socialist and an atheist.
- Baatz 1992, pp. 183–199.
- Blackmore 1972, p. 293, Chapter 18 – Mach and Buddhism: Mach was logically a Buddhist and illogically a believer in science.
- Anderson 1998, p. 65, Chapter 3.
- On this interdependency of Mach's physics, physiology, history and philosophy of science see Blackmore 1972, Blackmore (ed.) 1992 and Hentschel 1985 against Paul Feyerabend's efforts to decouple these three strands.
- Yourgrau 2005.
- Mach & Salcher 1887, pp. 764–780.
- Scott, Jeff (9 November 2003). "Ernst Mach and Mach Number". Aerospaceweb.org. Retrieved 24 October 2015.
- On Mach's historiography, cf., e.g., Hentschel 1988 on his impact in Vienna, see Stadler et al. (1988), and Blackmore et al. (2001).
- Selections are taken from his essay The Economical Nature of Physical Inquiry, excerpted by Kockelmans and slightly corrected by Blackmore. (citation below).
- V.I. Lenin, 1909, Materialism and Empirio-criticism: Critical Comments on a Reactionary Philosophy, https://www.marxists.org/archive/lenin/works/1908/mec/
- Bunnin & Yu 2008, p. 405.
- Barbour 2001, p. 220: In the Machian view, the properties of the system are exhausted by the masses of the particles and their separations, but the separations are mutual properties. Apart from the masses, the particles have no attributes that are exclusively their own. They — in the form of a triangle — are a single thing. In the Newtonian view, the particles exist in absolute space and time. These external elements lend the particles attributes — position, momentum, angular momentum — denied in the Machian view. The particles become three things. Absolute space and time are an essential part of atomism.
- Penrose 2016, p. 753: Mach’s principle asserts that physics should be defined entirely in terms of the relation of one body to another, and that the very notion of a background space should be abandoned
- Mach 1919: [The] investigator must feel the need of ... knowledge of the immediate connections, say, of the masses of the universe. There will hover before him as an ideal insight into the principles of the whole matter, from which accelerated and inertial motions will result in the same way.
- Pais 2005, p. 283.
- Wolters 2012, pp. 39–57.
- Riegler 2011, pp. 235–255.
- Hawkins, J.E. and Schacht, J. "The Emergence of Vestibular Science" Archived 2011-07-21 at the Wayback Machine (Part 8 of "Sketches of Otohistory") in Audiology and Neurotology, April 2005.
- Ratliff, Floyd (1975). "On Mach's Contributions to the Analysis of Sensations". In Seeger, Raymond J.; Cohen, Robert S. (eds.). Ernst Mach, Physicist and Philosopher.
- Ratliff 1965.
- Sugden & Mach 1903.
- Mecca Chiesa (1994). Radical Behaviorism: The Philosophy and the Science. Authors Cooperative. ISBN 978-0-9623311-4-5.
- See Mach, Ernst (1897). Williams, C.W. (ed.). Contributions to the Analysis of Sensation (1 ed.). Chicago: Open Court Publishing Company. Retrieved 13 July 2014. via Archive.org
- Anderson, J. (1998), Mack, Pamela E. (ed.), "Research in Supersonic Flight and the Breaking of the Sound Barrier", From Engineering Science to Big Science: The NACA and NASA Collier Trophy Research Project Winners, NASACS1 maint: ref=harv (link)
- Barbour, Julian (2001). The End of Time: The Next Revolution in Physics. USA: Oxford University Press. ISBN 978-0-19-514592-2.CS1 maint: ref=harv (link)
- Baatz, Ursula (1992). "Ernst Mach – The Scientist as a Buddhist". In Blackmore, J.T. (ed.). Ernst Mach — A Deeper Look: Documents and New Perspectives. Dordrecht: Springer. pp. 183–199. doi:10.1007/978-94-011-2771-4_9. ISBN 978-0-7923-1853-8.CS1 maint: ref=harv (link)
- Erik C. Banks: Ernst Mach's World Elements. A Study in Natural Philosophy. Dordrecht: Kluwer (now Springer), 2013.
- Blackmore, John T. (1972). Ernst Mach. His Life, Work, and Influence. Berkeley and Los Angeles: University of California Press. OCLC 534406. OL 4466579M.CS1 maint: ref=harv (link)
- John Blackmore and Klaus Hentschel (eds.): Ernst Mach als Außenseiter. Vienna: Braumüller, 1985 (with select correspondence).
- Blackmore, J.T.; Itagaki, R.; Tanaka, Satoru, eds. (2001). Ernst Mach's Vienna 1895–1930: Or Phenomenalism as Philosophy of Science. Dordrecht: Springer. ISBN 978-0-7923-7122-9.CS1 maint: ref=harv (link)
- John T. Blackmore, Ryoichi Itagaki and Setsuko Tanaka (eds.): Ernst Mach's Science. Kanagawa: Tokai University Press, 2006.
- John T. Blackmore, Ryoichi Itagaki and Setsuko Tanaka: Ernst Mach's Influence Spreads. Bethesda: Sentinel Open Press, 2009.
- John T. Blackmore, Ryoichi Itagaki and Setsuko Tanaka: Ernst Mach's Graz (1864–1867), where much science and philosophy were developed. Bethesda: Sentinel Open Press, 2010.
- John T. Blackmore: Ernst Mach's Prague 1867–1895 as a human adventure, Bethesda: Sentinel Open Press, 2010.
- Bunnin, Nicholas; Yu, Jiyuan (2008). "Mach, Ernst (1838-1916)". The Blackwell Dictionary of Western Philosophy. John Wiley & Sons. ISBN 978-0-470-99721-5.CS1 maint: ref=harv (link)
- Cohen, Robert S.; Seeger, Raymond J. (1975). Ernst Mach: Physicist and Philosopher. Dordrecht: Springer. ISBN 9027700168.CS1 maint: ref=harv (link)
- William Everdell: The First Moderns. Profiles in the Origins of Twentieth-Century Thought. Chicago: University of Chicago Press, 1997.
- Rudolf Haller and Friedrich Stadler (eds.): Ernst Mach – Werk und Wirkung. Vienna: Hoelder-Pichler-Tempsky, 1988.
- Hentschel, Klaus (1985). "On Feyerabend's version of 'Mach's theory of research and its relation to Einstein'". Studies in History and Philosophy of Science Part A. 16 (4): 387–394. doi:10.1016/0039-3681(85)90019-6. ISSN 0039-3681.CS1 maint: ref=harv (link)
- Hentschel, Klaus (1988). "Die Korrespondenz Duhem-Mach: Zur 'Modellbeladenheit' von Wissenschaftsgeschichte". Annals of Science. 45 (1): 73–91. doi:10.1080/00033798800200121. ISSN 0003-3790.CS1 maint: ref=harv (link)
- Hentschel, Klaus (2013). "Ernst Mach". In Hessenbruch, Arne (ed.). Reader's Guide to the History of Science. London: Routledge. ISBN 978-1-134-26301-1 – via Taylor and Francis.CS1 maint: ref=harv (link)
- D. Hoffmann and H. Laitko (eds.): Ernst Mach – Studien und Dokumente. Berlin, 1991.
- Joseph J. Kockelmans: Philosophy of science. The historical background. New York: The Free Press, 1968.
- Mehra, Jagdish; Rechenberg, Helmut (2001). The Historical Development of Quantum Theory. Springer. ISBN 978-0-387-95180-5.CS1 maint: ref=harv (link)
- Pais, Abraham (2005). Subtle is the Lord: The Science and the Life of Albert Einstein. Oxford: OUP. ISBN 978-0-19-280672-7.CS1 maint: ref=harv (link)
- Jiří Procházka: Ernst Mach /1838–1916/ Genealogie, 3 vols. Brno, 2007–2010. ISBN 978-80-903476-0-1. (deutsch, teilw. English)
- Jiří Proocházka! "Ernst Mach /1838-1916/ Genealogie" Brno 2OO7. ISBN 80-903476-3-0. (deutsch,teil. English)
- Jiří Procházka: "Ernst Mach /1838-1916/ Curriculum vitae", Brno-Vienna 2O14. ISBN 978-80-903476-7-0. (deutsch, teilw. English)
- V. Prosser and J. Folta (eds.): Ernst Mach and the development of Physics – Conference Papers, Prague: Universitas Carolina Pragensis, 1991.
- Penrose, Roger (2016). The Road to Reality: A Complete Guide to the Laws of the Universe. Random House. ISBN 978-1-4464-1820-8.CS1 maint: ref=harv (link)
- Ratliff, Floyd (1965). Mach bands: quantitative studies on neural networks in the retina. Holden-Day.CS1 maint: ref=harv (link)
- Riegler, Alexander (2011). "Constructivism". In Luciano L'Abate (ed.). Paradigms in Theory Construction. Springer. pp. 235–255. doi:10.1007/978-1-4614-0914-4_13. ISBN 978-1-4614-0914-4.CS1 maint: ref=harv (link)
- Joachim Thiele: Wissenschaftliche Kommunikation – Die Korrespondenz Ernst Machs, Kastellaun: Hain, 1978 (with select correspondence).
- Wolters, Gereon (2012). "Mach and Einstein, or Clearing Troubled Waters in the History of Science". In Lehner, Christoph; Renn, Jürgen; Schemmel, Matthias (eds.). Einstein and the Changing Worldviews of Physics. Boston: Springer – Birkhäuser. ISBN 978-0-8176-4940-1.CS1 maint: ref=harv (link)
- Yourgrau, Palle (2005). A World Without Time: The Forgotten Legacy of Gödel and Einstein. Allen Lane. ISBN 978-0-7139-9387-5.CS1 maint: ref=harv (link)
|Wikimedia Commons has media related to Ernst Mach.|
|Wikiquote has quotations related to: Ernst Mach|
|Wikisource has the text of the 1911 Encyclopædia Britannica article Mach, Ernst.|
|Wikiquote has quotations related to: The Science of Mechanics|
- Ernst Mach bibliography of all of his papers and books from 1860 to 1916, compiled by Vienna lecturer Dr. Peter Mahr in 2016
- Various Ernst Mach links, compiled by Greg C Elvers
- Klaus Hentschel: Mach, Ernst, in: Neue Deutsche Biographie 15 (1987), pp. 605–609.
- Works by Ernst Mach at Project Gutenberg
- Works by or about Ernst Mach at Internet Archive
- Works by Ernst Mach at LibriVox (public domain audiobooks)
- Pojman, Paul. "Ernst Mach". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy.
- Short biography and bibliography in the Virtual Laboratory of the Max Planck Institute for the History of Science
- Vladimir Lenin: Materialism and Empirio-criticism
- Ernst Mach: The Analysis of Sensations (1897) [translation of Beiträge zur Analyse der Empfindungen (1886)]
- Ernst Mach at the Mathematics Genealogy Project
- "The critical positivism of Mach and Avenarius": entry in the Britannica Online Encyclopedia