Rationalism

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This article is about the philosophical method, position, theory, or view. For other uses, see Rationalism (disambiguation).

In epistemology, rationalism is the view that "regards reason as the chief source and test of knowledge"[1] or "any view appealing to reason as a source of knowledge or justification".[2] More formally, rationalism is defined as a methodology or a theory "in which the criterion of the truth is not sensory but intellectual and deductive".[3] Rationalists believe reality has an intrinsically logical structure. Because of this, rationalists argue that certain truths exist and that the intellect can directly grasp these truths. That is to say, rationalists assert that certain rational principles exist in logic, mathematics, ethics, and metaphysics that are so fundamentally true that denying them causes one to fall into contradiction. Rationalists have such a high confidence in reason that proof and physical evidence are unnecessary to ascertain truth – in other words, "there are significant ways in which our concepts and knowledge are gained independently of sense experience".[4] Because of this belief, empiricism is one of rationalism's greatest rivals.

Different degrees of emphasis on this method or theory lead to a range of rationalist standpoints, from the moderate position "that reason has precedence over other ways of acquiring knowledge" to the more extreme position that reason is "the unique path to knowledge".[5] Given a pre-modern understanding of reason, rationalism is identical to philosophy, the Socratic life of inquiry, or the zetetic (skeptical) clear interpretation of authority (open to the underlying or essential cause of things as they appear to our sense of certainty). In recent decades, Leo Strauss sought to revive "Classical Political Rationalism" as a discipline that understands the task of reasoning, not as foundational, but as maieutic. Rationalism should not be confused with rationality, nor with rationalization.

In politics, Rationalism, since the Enlightenment, historically emphasized a "politics of reason" centered upon rational choice, utilitarianism, secularism, and irreligion[6] – the latter aspect's antitheism later ameliorated by utilitarian adoption of pluralistic rationalist methods practicable regardless of religious or irreligious ideology.[7][8]

In this regard, the philosopher John Cottingham[9] noted how rationalism, a methodology, became socially conflated with atheism, a worldview: In the past, particularly in the 17th and 18th centuries, the term 'rationalist' was often used to refer to free thinkers of an anti-clerical and anti-religious outlook, and for a time the word acquired a distinctly pejorative force (thus in 1670 Sanderson spoke disparagingly of 'a mere rationalist, that is to say in plain English an atheist of the late edition...'). The use of the label 'rationalist' to characterize a world outlook which has no place for the supernatural is becoming less popular today; terms like 'humanist' or 'materialist' seem largely to have taken its place. But the old usage still survives.

Philosophical usage[edit]

Rationalism is often contrasted with empiricism. Taken very broadly these views are not mutually exclusive, since a philosopher can be both rationalist and empiricist.[2] Taken to extremes, the empiricist view holds that all ideas come to us a posteriori, that is to say, through experience; either through the external senses or through such inner sensations as pain and gratification. The empiricist essentially believes that knowledge is based on or derived directly from experience. The rationalist believes we come to knowledge a priori – through the use of logic – and is thus independent of sensory experience. In other words, as Galen Strawson once wrote, "you can see that it is true just lying on your couch. You don't have to get up off your couch and go outside and examine the way things are in the physical world. You don't have to do any science."[10] Between both philosophies, the issue at hand is the fundamental source of human knowledge and the proper techniques for verifying what we think we know. Whereas both philosophies are under the umbrella of epistemology, their argument lies in the understanding of the warrant, which is under the wider epistemic umbrella of the theory of justification.

Theory of justification[edit]

The theory of justification is the part of epistemology that attempts to understand the justification of propositions and beliefs. Epistemologists are concerned with various epistemic features of belief, which include the ideas of justification, warrant, rationality, and probability. Of these four terms, the term that has been most widely used and discussed by the early 21st century is "warrant". Loosely speaking, justification is the reason that someone (probably) holds a belief.

If A makes a claim, and B then casts doubt on it, A's next move would normally be to provide justification. The precise method one uses to provide justification is where the lines are drawn between rationalism and empiricism (among other philosophical views). Much of the debate in these fields are focused on analyzing the nature of knowledge and how it relates to connected notions such as truth, belief, and justification.

Theses of rationalism[edit]

At its core, rationalism consists of three basic claims. For one to consider themselves a rationalist, they must adopt at least one of these three claims: The Intuition/Deduction Thesis, The Innate Knowledge Thesis, or The Innate Concept Thesis. In addition, rationalists can choose to adopt the claims of Indispensability of Reason and or the Superiority of Reason – although one can be a rationalist without adopting either thesis.

The intuition/deduction thesis[edit]

Rationale: "Some propositions in a particular subject area, S, are knowable by us by intuition alone; still others are knowable by being deduced from intuited propositions."[11]

Generally speaking, intuition is a priori knowledge or experiential belief characterized by its immediacy; a form of rational insight. We simply just "see" something in such a way as to give us a warranted belief. Beyond that, the nature of intuition is hotly debated.

In the same way, generally speaking, deduction is the process of reasoning from one or more general premises to reach a logically certain conclusion. Using valid arguments, we can deduce from intuited premises.

For example, when we combine both concepts, we can intuit that the number three is prime and that it is greater than two. We then deduce from this knowledge that there is a prime number greater than two. Thus, in can be said that intuition and deduction combined to provide us with a priori knowledge – we gained this knowledge independently of sense experience.

Empiricists such as David Hume have been willing to accept this thesis for describing the relationships among our own concepts.[11] In this sense, empiricists argue that we are allowed to intuit and deduce truths from knowledge that has been obtained a posteriori.

By injecting different subjects into the Intuition/Deduction thesis, we are able to generate different arguments. Most rationalists agree mathematics is knowable by applying the intuition and deduction. Some go further to include ethical truths into the category of things knowable by intuition and deduction. Furthermore, some rationalists also claim metaphysics is knowable in this thesis.

In addition to different subjects, rationalists sometimes vary the strength of their claims by adjusting their understanding of the warrant. Some rationalists understand warranted beliefs to be beyond even the slightest doubt; others are more conservative and understand the warrant to be belief beyond a reasonable doubt.

Rationalists also have different understanding and claims involving the connection between intuition and truth. Some rationalists claim intuition is infallible and that anything we intuit to be true is as such. More contemporary rationalists accept intuition is not always a source of certain knowledge – thus allowing for the possibility of a deceiver who might cause the rationalist to intuit a false proposition in the same way a third party could cause the rationalist to have perceptions of nonexistent objects.

Naturally, the more subjects a rationalists claim is knowable by the Intuition/Deduction thesis, the more certain they are of their warranted beliefs, and the more strictly they adhere to the infallibility of intuition, the more controversial their truths or claims and the more radical their rationalism.[11]

To argue in favor of this thesis, Gottfried Wilhelm Leibniz, a prominent German philosopher, says, "The senses, although they are necessary for all our actual knowledge, are not sufficient to give us the whole of it, since the senses never give anything but instances, that is to say particular or individual truths. Now all the instances which confirm a general truth, however numerous they may be, are not sufficient to establish the universal necessity of this same truth, for it does not follow that what happened before will happen in the same way again. … From which it appears that necessary truths, such as we find in pure mathematics, and particularly in arithmetic and geometry, must have principles whose proof does not depend on instances, nor consequently on the testimony of the senses, although without the senses it would never have occurred to us to think of them…"[12]

The innate knowledge thesis[edit]

Rationale: "We have knowledge of some truths in a particular subject area, S, as part of our rational nature."[13]

The Innate Knowledge thesis is similar to the Intuition/Deduction thesis in the regard that both theses claim knowledge is gained a priori. The two theses go their separate ways when describing how that knowledge is gained. As the name, and the rationale, suggests, the Innate Knowledge thesis claims knowledge is simply part of our rational nature. Experiences can trigger a process that allows this knowledge to come into our consciousness, but the experiences don't provide us with the knowledge itself. The knowledge has been with us since the beginning and the experience simply brought into focus, in the same way a photographer can bring the background of a picture into focus by changing the aperture of the lens. The background was always there, just not in focus.

This thesis targets a problem with the nature of inquiry originally postulated by Plato in Meno. Here, Plato asks about inquiry; how do we gain knowledge of a theorem in geometry? We inquire into the matter. Yet, knowledge by inquiry seems impossible.[14] In other words, "If we already have the knowledge, there is no place for inquiry. If we lack the knowledge, we don't know what we are seeking and cannot recognize it when we find it. Either way we cannot gain knowledge of the theorem by inquiry. Yet, we do know some theorems."[13] The Innate Knowledge thesis offers a solution to this paradox. By claiming that knowledge is already with us, either consciously or unconsciously, a rationalist claims we don't really "learn" things in the traditional usage of the word, but rather that we simply bring to light what we already know.

The innate concept thesis[edit]

Rationale: "We have some of the concepts we employ in a particular subject area, S, as part of our rational nature."[15]

Similarly to the Innate Knowledge thesis, the Innate Concept thesis suggests that some concepts are simply part of our rational nature. These concepts are a priori in nature and sense experience is irrelevant to determining the nature of these concepts (though, sense experience can help bring the concepts to our conscious mind).

Some philosophers, such as John Locke (who is considered one of the most influential thinkers of the Enlightenment and an empiricist) argue that the Innate Knowledge thesis and the Innate Concept thesis are one and the same.[16] Other philosophers, such as Peter Carruthers, argue that the two theses are distinct from one another. As with the other theses covered under rationalisms' umbrella, the types and number of concepts a philosopher claims to be innate, the more controversial and radical their position; "the more a concept seems removed from experience and the mental operations we can perform on experience the more plausibly it may be claimed to be innate. Since we do not experience perfect triangles but do experience pains, our concept of the former is a more promising candidate for being innate than our concept of the latter.[15]

In his book, Meditations on First Philosophy,[17] René Descartes postulates three classifications for our ideas when he says, "Among my ideas, some appear to be innate, some to be adventitious, and others to have been invented by me. My understanding of what a thing is, what truth is, and what thought is, seems to derive simply from my own nature. But my hearing a noise, as I do now, or seeing the sun, or feeling the fire, comes from things which are located outside me, or so I have hitherto judged. Lastly, sirens, hippogriffs and the like are my own invention."[18]

Adventitious ideas are those concepts that we gain through sense experiences, ideas such as the sensation of heat, because they originate from outside sources; transmitting their own likeness rather than something else and something you simply cannot will away. Ideas invented by us, such as those found in mythology, legends, and fairy tales are created by us from other ideas we possess. Lastly, innate ideas, such as our ideas of perfection, are those ideas we have as a result of mental processes that are beyond what experience can directly or indirectly provide.

Gottfried Wilhelm Leibniz defends the idea of innate concepts by suggesting the mind plays a role in determining the nature of concepts, to explain this, he likes the mind to a block of marble in the New Essays on Human Understanding, "This is why I have taken as an illustration a block of veined marble, rather than a wholly uniform block or blank tablets, that is to say what is called tabula rasa in the language of the philosophers. For if the soul were like those blank tablets, truths would be in us in the same way as the figure of Hercules is in a block of marble, when the marble is completely indifferent whether it receives this or some other figure. But if there were veins in the stone which marked out the figure of Hercules rather than other figures, this stone would be more determined thereto, and Hercules would be as it were in some manner innate in it, although labour would be needed to uncover the veins, and to clear them by polishing, and by cutting away what prevents them from appearing. It is in this way that ideas and truths are innate in us, like natural inclinations and dispositions, natural habits or potentialities, and not like activities, although these potentialities are always accompanied by some activities which correspond to them, though they are often imperceptible."[19]

The other two theses[edit]

The three aforementioned theses of Intuition/Deduction, Innate Knowledge, and Innate Concept are the cornerstones of rationalism. To be considered a rationalist, one must adopt at least one of those three claims. The following two theses are traditionally adopted by rationalists, but they aren't essential to the rationalist's position.

The Indispensability of Reason Thesis has the following rationale, "The knowledge we gain in subject area, S, by intuition and deduction, as well as the ideas and instances of knowledge in S that are innate to us, could not have been gained by us through sense experience."[1] In short, this thesis claims that experience cannot provide what we gain from reason.

The Superiority of Reason Thesis has the following rationale, '"The knowledge we gain in subject area S by intuition and deduction or have innately is superior to any knowledge gained by sense experience".[1] In other words, this thesis claims reason is superior to experience as a source for knowledge.

In addition to the following claims, rationalists often adopt similar stances on other aspects of philosophy. Most rationalists reject skepticism for the areas of knowledge they claim are knowable a priori. Naturally, when you claim some truths are innately known to us, one must reject skepticism in relation to those truths. Especially for rationalists who adopt the Intuition/Deduction thesis, the idea of epistemic foundationalism tends to crop up. This is the view that we know some truths without basing our belief in them on any others and that we then use this foundational knowledge to know more truths.[1]

Background[edit]

It is difficult to identify a major figure in the history of rationalism, or even a major period of history in rational thought before the Enlightenment. One of the primary reasons for this is the fact that humans have the ability to know information they otherwise shouldn't know – primarily in the field of mathematics. Every philosopher has acknowledged this to some degree or another. Secondly, it is the nature of philosophical thought to obtain knowledge and information with the use of our rational faculties – instead of coming to knowledge by mystical revelation.

Since the Enlightenment, rationalism is usually associated with the introduction of mathematical methods into philosophy as seen in the works of Descartes, Leibniz, and Spinoza.[3] This is commonly called continental rationalism, because it was predominant in the continental schools of Europe, whereas in Britain empiricism dominated.

Even then, the distinction between rationalists and empiricists was drawn at a later period and would not have been recognized by the philosophers involved. Also, the distinction between the two philosophies is not as clear-cut as is sometimes suggested; for example, Descartes and Locke have similar views about the nature of human ideas.[4]

Proponents of some varieties of rationalism argue that, starting with foundational basic principles, like the axioms of geometry, one could deductively derive the rest of all possible knowledge. The philosophers who held this view most clearly were Baruch Spinoza and Gottfried Leibniz, whose attempts to grapple with the epistemological and metaphysical problems raised by Descartes led to a development of the fundamental approach of rationalism. Both Spinoza and Leibniz asserted that, in principle, all knowledge, including scientific knowledge, could be gained through the use of reason alone, though they both observed that this was not possible in practice for human beings except in specific areas such as mathematics. On the other hand, Leibniz admitted in his book Monadology that "we are all mere Empirics in three fourths of our actions."[5]

History[edit]

Rationalist philosophy from antiquity[edit]

Because of the complicated nature of rationalist thinking, the nature of philosophy, and the understanding that humans are aware of knowledge available only through the use of rational thought, many of the great philosophers from antiquity laid down the foundation for rationalism though they themselves weren't rationalists as we understand the concept today.

Pythagoras (570–495 BCE)[edit]

Main article: Pythagoras

Pythagoras was one of the first Western philosophers to stress rationalist insight.[20] He is often revered as a great mathematician, mystic and scientist, but he is best known for the Pythagorean theorem, which bears his name, and for discovering the mathematical relationship between the length of strings on lute bear and the pitches of the notes. Pythagoras "believed these harmonies reflected the ultimate nature of reality. He summed up the implied metaphysical rationalism in the words "All is number". It is probable that he had caught the rationalist's vision, later seen by Galileo (1564–1642), of a world governed throughout by mathematically formulable laws".[20] It has been said that he was the first man to call himself a philosopher, or lover of wisdom,[21]

Plato (427–347 BCE)[edit]

Main article: Plato

Plato also held rational insight to a very high standard, as is seen in his works such as Meno and The Republic. Plato taught on the Theory of Forms (or the Theory of Ideas)[22][23][24] which asserts that non-material abstract (but substantial) forms (or ideas), and not the material world of change known to us through sensation, possess the highest and most fundamental kind of reality.[25] Plato's forms are accessible only to reason and not to sense.[20] In fact, it is said that Plato admired reason, especially in geometry, so highly that he had the phrase "Let no one ignorant of geometry enter" inscribed over the door to his academy.[26]

Aristotle (384–322 BCE)[edit]

Main article: Aristotle

Aristotle has a process of reasoning similar to that of Plato's, though he ultimately disagreed with the specifics of Plato's forms. Aristotle's great contribution to rationalist thinking comes from his use of syllogistic logic. Aristotle defines syllogism as "a discourse in which certain (specific) things having been supposed, something different from the things supposed results of necessity because these things are so."[27] Despite this very general definition, Aristotle limits himself to categorical syllogisms which consist of three categorical propositions in his work Prior Analytics.[28] These included categorical modal syllogisms.[29]

After Aristotle[edit]

Though the three great Greek philosophers disagreed with one another on specific points, they all agreed that rational thought could bring to light knowledge that was self-evident – information that humans otherwise couldn't know without the use of reason. After Aristotle's death, Western rationalistic thought was generally characterized by its application to theology, such as in the works of the Islamic philosopher Avicenna and Jewish philosopher and theologian Maimonides. One notable event in the Western timelime was the philosophy of St. Thomas Aquinas who attempted to merge Greek rationalism and Christian revelation in the thirteenth-century.[20]

Modern rationalism[edit]

René Descartes (1596–1650)[edit]

Main article: René Descartes

Descartes was the first of the modern rationalists and has been dubbed the 'Father of Modern Philosophy.' Much subsequent Western philosophy is a response to his writings,[30][31][32] which are studied closely to this day.

Descartes thought that only knowledge of eternal truths – including the truths of mathematics, and the epistemological and metaphysical foundations of the sciences – could be attained by reason alone; other knowledge, the knowledge of physics, required experience of the world, aided by the scientific method. He also argued that although dreams appear as real as sense experience, these dreams cannot provide persons with knowledge. Also, since conscious sense experience can be the cause of illusions, then sense experience itself can be doubtable. As a result, Descartes deduced that a rational pursuit of truth should doubt every belief about reality. He elaborated these beliefs in such works as Discourse on Method, Meditations on First Philosophy, and Principles of Philosophy. Descartes developed a method to attain truths according to which nothing that cannot be recognised by the intellect (or reason) can be classified as knowledge. These truths are gained "without any sensory experience," according to Descartes. Truths that are attained by reason are broken down into elements that intuition can grasp, which, through a purely deductive process, will result in clear truths about reality.

Descartes therefore argued, as a result of his method, that reason alone determined knowledge, and that this could be done independently of the senses. For instance, his famous dictum, cogito ergo sum or "I think, therefore I am", is a conclusion reached a priori i.e., prior to any kind of experience on the matter. The simple meaning is that doubting one's existence, in and of itself, proves that an "I" exists to do the thinking. In other words, doubting one's own doubting is absurd.[33] This was, for Descartes, an irrefutable principle upon which to ground all forms of other knowledge. Descartes posited a metaphysical dualism, distinguishing between the substances of the human body ("res extensa") and the mind or soul ("res cogitans"). This crucial distinction would be left unresolved and lead to what is known as the mind-body problem, since the two substances in the Cartesian system are independent of each other and irreducible.

Baruch Spinoza (1632–1677)[edit]

Main article: Philosophy of Spinoza

The philosophy of Baruch Spinoza is a systematic, logical, rational philosophy developed in seventeenth-century Europe.[34][35][36] Spinoza's philosophy is a system of ideas constructed upon basic building blocks with an internal consistency with which he tried to answer life's major questions and in which he proposed that "God exists only philosophically."[36][37] He was heavily influenced by thinkers such as Descartes,[38] Euclid[37] and Thomas Hobbes,[38] as well as theologians in the Jewish philosophical tradition such as Maimonides.[38] But his work was in many respects a departure from the Judeo-Christian tradition. Many of Spinoza's ideas continue to vex thinkers today and many of his principles, particularly regarding the emotions, have implications for modern approaches to psychology. Even top thinkers have found Spinoza's "geometrical method"[36] difficult to comprehend: Goethe admitted that he "could not really understand what Spinoza was on about most of the time."[36] His magnum opus, Ethics, contains unresolved obscurities and has a forbidding mathematical structure modeled on Euclid's geometry.[37] Spinoza's philosophy attracted believers such as Albert Einstein[39] and much intellectual attention.[40][41][42][43][44]

Gottfried Leibniz (1646–1716)[edit]

Main article: Gottfried Leibniz

Leibniz was the last of the great Rationalists who contributed heavily to other fields such as metaphysics, epistemology, logic, mathematics, physics, jurisprudence, and the philosophy of religion; he is also considered to be one of the last "universal geniuses".[45] He did not develop his system, however, independently of these advances. Leibniz rejected Cartesian dualism and denied the existence of a material world. In Leibniz's view there are infinitely many simple substances, which he called "monads" (possibly taking the term from the work of Anne Conway).

Leibniz developed his theory of monads in response to both Descartes and Spinoza, because the rejection of their visions forced him to arrive at his own solution. Monads are the fundamental unit of reality, according to Leibniz, constituting both inanimate and animate objects. These units of reality represent the universe, though they are not subject to the laws of causality or space (which he called "well-founded phenomena"). Leibniz, therefore, introduced his principle of pre-established harmony to account for apparent causality in the world.

Immanuel Kant (1724–1804)[edit]

Main article: Immanuel Kant

Kant is one of the central figures of modern philosophy, and set the terms by which all subsequent thinkers have had to grapple. He argued that human perception structures natural laws, and that reason is the source of morality. His thought continues to hold a major influence in contemporary thought, especially in fields such as metaphysics, epistemology, ethics, political philosophy, and aesthetics.[46]

Kant named his branch of epistemology Transcendental Idealism, and he first laid out these views in his famous work The Critique of Pure Reason. In it he argued that there were fundamental problems with both rationalist and empiricist dogma. To the rationalists he argued, broadly, that pure reason is flawed when it goes beyond its limits and claims to know those things that are necessarily beyond the realm of all possible experience: the existence of God, free will, and the immortality of the human soul. Kant referred to these objects as "The Thing in Itself" and goes on to argue that their status as objects beyond all possible experience by definition means we cannot know them. To the empiricist he argued that while it is correct that experience is fundamentally necessary for human knowledge, reason is necessary for processing that experience into coherent thought. He therefore concludes that both reason and experience are necessary for human knowledge. In the same way, Kant also argued that it was wrong to regard thought as mere analysis. In Kant's views, a priori concepts do exist, but if they are to lead to the amplification of knowledge, they must be brought into relation with empirical data".[47]

See also[edit]

References[edit]

Citations
  1. ^ a b c d Encyclopedia Britannica: Rationalism
  2. ^ a b Lacey, A.R. (1996), A Dictionary of Philosophy, 1st edition, Routledge and Kegan Paul, 1976. 2nd edition, 1986. 3rd edition, Routledge, London, UK, 1996. p. 286
  3. ^ a b Bourke, Vernon J., "Rationalism," p. 263 in Runes (1962).
  4. ^ a b Stanford Encyclopedia of Philosophy, Rationalism vs. Empiricism First published August 19, 2004; substantive revision March 31, 2013 cited on May 20, 2013.
  5. ^ a b Audi, Robert, The Cambridge Dictionary of Philosophy, Cambridge University Press, Cambridge, UK, 1995. 2nd edition, 1999, p. 771.
  6. ^ Oakeshott, Michael,"Rationalism in Politics," The Cambridge Journal 1947, vol. 1 Retrieved 2013-01-13.
  7. ^ Boyd, Richard, "The Value of Civility?," Urban Studies Journal, May 2006, vol. 43 (no. 5–6), pp. 863–78 Retrieved 2013-01-13.
  8. ^ FactCheck.org. Retrieved 2013-01-13.
  9. ^ Cottingham, John. 1984. Rationalism. Paladi/Granada
  10. ^ Sommers (2003), p. 15.
  11. ^ a b c Stanford Encyclopedia of Philosophy, The Intuition/Deduction Thesis First published August 19, 2004; substantive revision March 31, 2013 cited on May 20, 2013.
  12. ^ 1704, Gottfried Leibniz Preface, pp. 150–151
  13. ^ a b Stanford Encyclopedia of Philosophy, The Innate Knowledge Thesis First published August 19, 2004; substantive revision March 31, 2013 cited on May 20, 2013.
  14. ^ Meno, 80d–e
  15. ^ a b Stanford Encyclopedia of Philosophy, The Innate Concept Thesis First published August 19, 2004; substantive revision March 31, 2013 cited on May 20, 2013.
  16. ^ Locke, Concerning Human Understanding, Book I, Ch. III, par. 20
  17. ^ Cottingham, J., ed. (April 1996) [1986]. Meditations on First Philosophy With Selections from the Objections and Replies (revised ed.). Cambridge University Press. ISBN 978-0-521-55818-1.  –The original Meditations, translated, in its entirety.
  18. ^ René Descartes AT VII 37–8; CSM II 26
  19. ^ Gottfried Wilhelm Leibniz, 1704, New Essays on human Understanding, Preface, p. 153
  20. ^ a b c d Encyclopedia Britannia: Epistemological rationalism in ancient philosophies
  21. ^ Cicero, Tusculan Disputations, 5.3.8–9 = Heraclides Ponticus fr. 88 Wehrli, Diogenes Laërtius 1.12, 8.8, Iamblichus VP 58. Burkert attempted to discredit this ancient tradition, but it has been defended by C.J. De Vogel, Pythagoras and Early Pythagoreanism (1966), pp. 97–102, and C. Riedweg, Pythagoras: His Life, Teaching, And Influence (2005), p. 92.
  22. ^ Modern English textbooks and translations prefer "theory of Form" to "theory of Ideas," but the latter has a long and respected tradition starting with Cicero and continuing in German philosophy until present, and some English philosophers prefer this in English too. See W D Ross, Plato's Theory of Ideas (1951) and this reference site.
  23. ^ The name of this aspect of Plato's thought is not modern and has not been extracted from certain dialogues by modern scholars. The term was used at least as early as Diogenes Laertius, who called it (Plato's) "Theory of Forms:" Πλάτων ἐν τῇ περὶ τῶν ἰδεῶν ὑπολήψει...., "Plato". Lives of Eminent Philosophers. Book III. pp. Paragraph 15. 
  24. ^ Plato uses many different words for what is traditionally called form in English translations and idea in German and Latin translations (Cicero). These include idéa, morphē, eîdos, and parádeigma, but also génos, phýsis, and ousía. He also uses expressions such as to x auto, "the x itself" or kath' auto "in itself." See Christian Schäfer: Idee/Form/Gestalt/Wesen, in Platon-Lexikon, Darmstadt 2007, p. 157.
  25. ^ Forms (usually given a capital F) were properties or essences of things, treated as non-material abstract, but substantial, entities. They were eternal, changeless, supremely real, and independent of ordinary objects that had their being and properties by 'participating' in them. Plato's theory of forms (or ideas)
  26. ^ Frequently Asked Questions about PlatoBernard SUZANNE
  27. ^ Aristotle, Prior Analytics, 24b18–20
  28. ^ [1] Stanford Encyclopedia of Philosophy: Ancient Logic Aristotle Non-Modal Syllogistic
  29. ^ [2] Stanford Encyclopedia of Philosophy: Ancient Logic Aristotle Modal Logic
  30. ^ Bertrand Russell (2004) History of western philosophy pp. 511, 516–17
  31. ^ Heidegger [1938] (2002) p. 76 "Descartes... that which he himself founded... modern (and that means, at the same time, Western) metaphysics."
  32. ^ Watson, Richard A. (31 March 2012). "René Descartes". Encyclopædia Britannica (Encyclopædia Britannica Online. Encyclopædia Britannica Inc). Retrieved 31 March 2012. 
  33. ^ Encyclopedia Britannia: Epistemological rationalism in modern philosophies
  34. ^ Lisa Montanarelli (book reviewer) (January 8, 2006). "Spinoza stymies 'God's attorney' – Stewart argues the secular world was at stake in Leibniz face off". San Francisco Chronicle. Retrieved 2009-09-08. 
  35. ^ Kelley L. Ross (1999). "Baruch Spinoza (1632–1677)". History of Philosophy As I See It. Retrieved 2009-12-07. "While for Spinoza all is God and all is Nature, the active/passive dualism enables us to restore, if we wish, something more like the traditional terms. Natura Naturans is the most God-like side of God, eternal, unchanging, and invisible, while Natura Naturata is the most Nature-like side of God, transient, changing, and visible." 
  36. ^ a b c d Anthony Gottlieb (July 18, 1999). "God Exists, Philosophically". The New York Times: Books. Retrieved 2009-12-07. "Spinoza, a Dutch Jewish thinker of the 17th century, not only preached a philosophy of tolerance and benevolence but actually succeeded in living it. He was reviled in his own day and long afterward for his supposed atheism, yet even his enemies were forced to admit that he lived a saintly life." 
  37. ^ a b c ANTHONY GOTTLIEB (2009-09-07). "God Exists, Philosophically (review of "Spinoza: A Life" by Steven Nadler)". The New York Times – Books. Retrieved 2009-09-07. 
  38. ^ a b c Michael LeBuffe (book reviewer) (2006-11-05). "Spinoza's Ethics: An Introduction, by Steven Nadler". University of Notre Dame. Retrieved 2009-12-07. "Spinoza's Ethics is a recent addition to Cambridge's Introductions to Key Philosophical Texts, a series developed for the purpose of helping readers with no specific background knowledge to begin the study of important works of Western philosophy..." 
  39. ^ "EINSTEIN BELIEVES IN "SPINOZA'S GOD"; Scientist Defines His Faith in Reply, to Cablegram From Rabbi Here. SEES A DIVINE ORDER But Says Its Ruler Is Not Concerned "Wit Fates and Actions of Human Beings."". The New York Times. April 25, 1929. Retrieved 2009-09-08. 
  40. ^ Hutchison, Percy (November 20, 1932). "Spinoza, "God-Intoxicated Man"; Three Books Which Mark the Three Hundredth Anniversary of the Philosopher's Birth BLESSED SPINOZA. A Biography. By Lewis Browne. 319 pp. New York: Macmillan. SPINOZA. Liberator of God and Man. By Benjamin De Casseres, 145 pp. New York: E.Wickham Sweetland. SPINOZA THE BIOSOPHER. By Frederick Kettner. Introduction by Nicholas Roerich, New Era Library. 255 pp. New York: Roerich Museum Press. Spinoza". The New York Times. Retrieved 2009-09-08. 
  41. ^ "Spinoza's First Biography Is Recovered; THE OLDEST BIOGRAPHY OF SPINOZA. Edited with Translations, Introduction, Annotations, &c., by A. Wolf. 196 pp. New York: Lincoln Macveagh. The Dial Press.". The New York Times. December 11, 1927. Retrieved 2009-09-08. 
  42. ^ IRWIN EDMAN (July 22, 1934). "The Unique and Powerful Vision of Baruch Spinoza; Professor Wolfson's Long-Awaited Book Is a Work of Illuminating Scholarship. (Book review) THE PHILOSOPHY OF SPINOZA. By Henry Austryn Wolfson". The New York Times. Retrieved 2009-09-08. 
  43. ^ Cummings, M E (September 8, 1929). "ROTH EVALUATES SPINOZA". Los Angeles Times. Retrieved 2009-09-08. 
  44. ^ SOCIAL NEWS BOOKS (November 25, 1932). "TRIBUTE TO SPINOZA PAID BY EDUCATORS; Dr. Robinson Extols Character of Philosopher, 'True to the Eternal Light Within Him.' HAILED AS 'GREAT REBEL'; De Casseres Stresses Individualism of Man Whose Tercentenary Is Celebrated at Meeting.". The New York Times. Retrieved 2009-09-08. 
  45. ^ Stanford Encyclopedia of Philosophy: Gottfried Wilhelm Leibniz.
  46. ^ "Immanuel Kant (Stanford Encyclopedia of Philosophy)". Plato.stanford.edu. 20 May 2010. Retrieved 2011-10-22. 
  47. ^ Excerpt from the Encyclopedia Britannica
Primary sources
Secondary sources

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