Download or read book The Role of Mathematics in Plato s Dialectic written by Robert Sherrick Brumbaugh and published by . This book was released on 1942 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Role of Mathematics in Plato s Dialectic A Part of a Dissertation Etc written by Robert Sherrick BRUMBAUGH and published by . This book was released on 1942 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Development of Dialectic from Plato to Aristotle written by Jakob Leth Fink and published by Cambridge University Press. This book was released on 2012-11-01 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The period from Plato's birth to Aristotle's death (427–322 BC) is one of the most influential and formative in the history of Western philosophy. The developments of logic, metaphysics, epistemology, ethics and science in this period have been investigated, controversies have arisen and many new theories have been produced. But this is the first book to give detailed scholarly attention to the development of dialectic during this decisive period. It includes chapters on topics such as: dialectic as interpersonal debate between a questioner and a respondent; dialectic and the dialogue form; dialectical methodology; the dialectical context of certain forms of arguments; the role of the respondent in guaranteeing good argument; dialectic and presentation of knowledge; the interrelations between written dialogues and spoken dialectic; and definition, induction and refutation from Plato to Aristotle. The book contributes to the history of philosophy and also to the contemporary debate about what philosophy is.
Download or read book The Significance of the Mathematical Element in the Philosophy of Plato written by Irving Elgar Miller and published by . This book was released on 1904 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato s Method of Dialectic written by Julius Stenzel and published by Beaufort Books. This book was released on 1973 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato s Philosophy of Mathematics written by Anders Wedberg and published by Praeger. This book was released on 1977 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato s Dialectic at Play written by Kevin Corrigan and published by Penn State Press. This book was released on 2015-10-29 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium is one of Plato’s most accessible dialogues, an engrossing historical document as well as an entertaining literary masterpiece. By uncovering the structural design of the dialogue, Plato’s Dialectic at Play aims at revealing a Plato for whom the dialogical form was not merely ornamentation or philosophical methodology but the essence of philosophical exploration. His dialectic is not only argument; it is also play. Careful analysis of each layer of the text leads cumulatively to a picture of the dialogue’s underlying structure, related to both argument and myth, and shows that a dynamic link exists between Diotima’s higher mysteries and the organization of the dialogue as a whole. On this basis the authors argue that the Symposium, with its positive theory of art contained in the ascent to the Beautiful, may be viewed as a companion piece to the Republic, with its negative critique of the role of art in the context of the Good. Following Nietzsche’s suggestion and applying criteria developed by Mikhail Bakhtin, they further argue for seeing the Symposium as the first novel. The book concludes with a comprehensive reevaluation of the significance of the Symposium and its place in Plato’s thought generally, touching on major issues in Platonic scholarship: the nature of art, the body-soul connection, the problem of identity, the relationship between mythos and logos, Platonic love, and the question of authorial writing and the vanishing signature of the absent Plato himself.
Download or read book New Perspectives on Platonic Dialectic written by Jens Kristian Larsen and published by Routledge. This book was released on 2022-02-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For Plato, philosophy depends on, or is perhaps even identical with, dialectic. Few will dispute this claim, but there is little agreement as to what Platonic dialectic is. According to a now prevailing view it is a method for inquiry the conception of which changed so radically for Plato that it "had a strong tendency ... to mean ‘the ideal method’, whatever that may be" (Richard Robinson). Most studies of Platonic dialectic accordingly focus on only one aspect of this method that allegedly characterizes one specific period in Plato’s development. This volume offers fresh perspectives on Platonic dialectic. Its 13 chapters present a comprehensive picture of this crucial aspect of Plato’s philosophy and seek to clarify what Plato takes to be proper dialectical procedures. They examine the ways in which these procedures are related to each other and other aspects of his philosophy, such as ethics, psychology, and metaphysics. Collectively, the chapters challenge the now prevailing understanding of Plato’s ideal of method. New Perspectives on Platonic Dialectic will appeal to scholars and advanced students interested in Plato, ancient philosophy, philosophical method, and the history of logic.
Download or read book Plato A Very Short Introduction written by Julia Annas and published by OUP Oxford. This book was released on 2003-02-13 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively and accessible introduction to Plato focuses on the philosophy and argument of his writings, drawing the reader into Plato's way of doing philosophy, and the general themes of his thinking. This is not a book to leave the reader standing in the outer court of introduction and background information, but leads directly into Plato's argument. It looks at Plato as a thinker grappling with philosophical problems in a variety of ways, rather than a philosopher with a fully worked-out system. It includes a brief account of Plato's life and the various interpretations that have been drawn from the sparse remains of information. It stresses the importance of the founding of the Academy and the conception of philosophy as a subject. Julia Annas discusses Plato's style of writing: his use of the dialogue form, his use of what we today call fiction, and his philosophical transformation of myths. She also looks at his discussions of love and philosophy, his attitude to women, and to homosexual love, explores Plato's claim that virtue is sufficient for happiness, and touches on his arguments for the immortality of the soul and his ideas about the nature of the universe. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Explorations in Ancient and Modern Philosophy written by M. F. Burnyeat and published by Cambridge University Press. This book was released on 2012-06-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.
Download or read book Plato s Mathematical Imagination written by Robert Sherrick Brumbaugh and published by Bloomington : Indiana University Press. This book was released on 1954 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato s Earlier Dialectic written by Richard Robinson and published by . This book was released on 1953 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Beautiful City written by David Roochnik and published by Cornell University Press. This book was released on 2008 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the vast literature on Plato's Republic comes a new interpretation. In Beautiful City, David Roochnik argues convincingly that Plato's masterpiece is misunderstood by modern readers. The work must, he explains, be read dialectically, its parts understood as forming a unified whole. Approached in this way, the text no longer appears to defend an authoritarian and monolithic political system, but rather supplies a qualified defense of democracy and the values of diversity. Writing in clear and straightforward prose, Roochnik demonstrates how Plato's treatment of the city and the soul evolves throughout the dialogue and can be appreciated only by considering the Republic in its entirety. He shows that the views expressed in the early parts of the text do not represent Plato's final judgment on these subjects but are in fact dialectical "moments" intended to be both partial and provisional. Books 5-7 of the Republic are, he maintains, meant to revise and improve upon books 2-4. Similarly, he sees the usually neglected books 8-10 as advancing beyond the thoughts presented in the previous books. Paying particular attention to these later books, Roochnik details, for instance, how the stories of the "mistaken" regimes, which are often seen as unimportant, are actually crucial in Plato's account of the soul. Beautiful City is certain to be controversial, as the author's insights and opinions will engage and challenge philosophers, classicists, and political theorists.
Download or read book Philosophy Mathematics and Dialectic Materialism written by and published by Thrasos Nerantzis. This book was released on with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato Was Not a Mathematical Platonist written by Elaine Landry and published by Cambridge University Press. This book was released on 2023-01-31 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism and the knife he uses to slice the difference is method. The philosopher's dialectical method requires that we tether the truth of hypotheses to existing metaphysical objects. The mathematician's hypothetical method, by contrast, takes hypotheses as if they were first principles, so no metaphysical account of their truth is needed. Thus, we come to Plato's methodological as-if realism: in mathematics, we treat our hypotheses as if they were first principles, and, consequently, our objects as if they existed, and we do this for the purpose of solving problems. Taking the road suggested by Plato's Republic, this Element shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability. This title is also available as Open Access on Cambridge Core.
Download or read book Plato s Mathematical Imagination written by Robert Sherrick Brumbaugh and published by . This book was released on 1954 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Evolution of the Euclidean Elements written by W.R. Knorr and published by Springer Science & Business Media. This book was released on 1975 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.
