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Author : Theon (of Smyrna.)
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (321 download)
Download or read book Mathematics Useful for Understanding Plato written by Theon (of Smyrna.) and published by . This book was released on 1979 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)
Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.
Author : Roger Sworder
Publisher :
ISBN 13 : 9781597311380
Total Pages : 130 pages
Book Rating : 4.3/5 (113 download)
Download or read book Mathematical Plato written by Roger Sworder and published by . This book was released on 2013 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato is the first scientist whose work we still possess. He is our first writer to interpret the natural world mathematically, and also the first theorist of mathematics in the natural sciences. As no one else before or after, he set out why we should suppose a link between nature and mathematics, a link that has never been stronger than it is today. Mathematical Plato examines how Plato organized and justified the principles, terms, and methods of our mathematical, natural science. "Roger Sworder deserves our gratitude for drawing attention to the significance of mathematics in Plato's thought and writings. He lays the principal discussions out before us with clarity. He also presents Plato as a theorist of nature: of physics and not just metaphysics, to use Aristotle's distinction. Not all readers, we should admit, will be equally convinced of the usefulness of Plato's science for today, but they will all be led more deeply into Plato's vision of reality."--ANDREW DAVISON, Westcott House, Cambridge "Here is Plato for an anti-Platonic age. The author gives careful attention to some of the most important passages in the Platonic dialogues and offers new solutions to some of Plato's most famous mathematical puzzles. He then considers the implications of these penetrating studies for the philosophy of science, and the natural sciences especially. This is a book that revivifies the core themes of Platonism and restores science to worship. It shows Roger Sworder to be one of the foremost students of Plato writing today, and places him in the noble tradition of Thomas Taylor."--RODNEY BLACKHIRST, author of Primordial Alchemy and Modern Religion: Essays on Traditional Cosmology
Author : M. Panza
Publisher : Springer
ISBN 13 : 1137298138
Total Pages : 289 pages
Book Rating : 4.1/5 (372 download)
Download or read book Plato's Problem written by M. Panza and published by Springer. This book was released on 2013-01-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.
Author : Jeremy Gray
Publisher : Princeton University Press
ISBN 13 : 1400829046
Total Pages : 528 pages
Book Rating : 4.4/5 (8 download)
Download or read book Plato's Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2008-09-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Author : D. H. Fowler
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Mathematics of Plato's Academy written by D. H. Fowler and published by Oxford University Press, USA. This book was released on 1987 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a reinterpretation of early Greek mathematics, one of the most tantalizing intellectual subjects of the last 2,000 years. The first part offers several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussion of several texts. Part Two discusses the historical context of the subject--what we know of Plato's academy during his lifetime, the origin of our text of Euclid's Elements, and what we know of early Greek numerical practice. The book finishes with an account of the theory of continued fractions and its history since the 17th century.
Author : Theokritos Kouremenos
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110601486
Total Pages : 152 pages
Book Rating : 4.1/5 (16 download)
Download or read book Plato’s forms, mathematics and astronomy written by Theokritos Kouremenos and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.
Author : M. F. Burnyeat
Publisher : Cambridge University Press
ISBN 13 : 0521750725
Total Pages : 393 pages
Book Rating : 4.5/5 (217 download)
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.
Author : Jacob Klein
Publisher : Courier Corporation
ISBN 13 : 0486319814
Total Pages : 246 pages
Book Rating : 4.4/5 (863 download)
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Author : Mark Balaguer
Publisher :
ISBN 13 : 9780195143980
Total Pages : 234 pages
Book Rating : 4.1/5 (439 download)
Download or read book Platonism and Anti-Platonism in Mathematics written by Mark Balaguer and published by . This book was released on 2001 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)
Author : Thomas Little Heath
Publisher : Dalcassian Publishing Company
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4./5 ( download)
Download or read book A history of Greek mathematics written by Thomas Little Heath and published by Dalcassian Publishing Company. This book was released on 1921-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan von Plato
Publisher : Cambridge University Press
ISBN 13 : 9780521597357
Total Pages : 336 pages
Book Rating : 4.5/5 (973 download)
Download or read book Creating Modern Probability written by Jan von Plato and published by Cambridge University Press. This book was released on 1998-01-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author charts the history and development of modern probability theory.
Author : William H. F. Altman
Publisher : Lexington Books
ISBN 13 : 0739171399
Total Pages : 513 pages
Book Rating : 4.7/5 (391 download)
Download or read book Plato the Teacher written by William H. F. Altman and published by Lexington Books. This book was released on 2012-02-16 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique and important book, William Altman shines a light on the pedagogical technique of the playful Plato, especially his ability to create living discourses that directly address the student. Reviving an ancient concern with reconstructing the order in which Plato intended his dialogues to be taught as opposed to determining the order in which he wrote them, Altman breaks with traditional methods by reading Plato’s dialogues as a multiplex but coherent curriculum in which the Allegory of the Cave occupies the central place. His reading of Plato's Republic challenges the true philosopher to choose the life of justice exemplified by Socrates and Cicero by going back down into the Cave of political life for the sake of the greater Good.
Author : Julia Annas
Publisher : OUP Oxford
ISBN 13 : 019157922X
Total Pages : 128 pages
Book Rating : 4.1/5 (915 download)
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.
Author : Ryan Fowler
Publisher : Parmenides Publishing
ISBN 13 : 1930972881
Total Pages : 375 pages
Book Rating : 4.9/5 (39 download)
Download or read book Imperial Plato written by Ryan Fowler and published by Parmenides Publishing. This book was released on 2016-12-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imperial Plato presents new translations of three introductions to Plato's thought from the second half of the second century CE: the Introduction to Plato by Albinus of Smyrna, Dissertation 11 of Maximus of Tyre, and On Plato and his Teaching by Apuleius of Madaurus. These three presentations of Plato's ideas-one a Greek dialectic introduction with a suggested reading order for Plato's dialogues, another a Greek speech in the sophistic style of the time, and one a lengthy doxological study in Latin-are examples by three distinct authors using divergent methods of the assorted ways in which Plato and Platonism were understood and discussed during the revival of Hellenism and Greek Philosophy, and the period of the Roman Empire often referred to as the Second Sophistic.
Author : C.C.W. Taylor
Publisher : Taylor & Francis
ISBN 13 : 100095059X
Total Pages : 526 pages
Book Rating : 4.0/5 (9 download)
Download or read book From the Beginning to Plato written by C.C.W. Taylor and published by Taylor & Francis. This book was released on 2023-05-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume in the series traces the development of philosophy over two-and-a-half centuries, from Thales at the beginning of the sixth century BC to the death of Plato in 347 BC.
Author : Sean McAleer
Publisher : Open Book Publishers
ISBN 13 : 1800640560
Total Pages : 233 pages
Book Rating : 4.8/5 (6 download)
Download or read book Plato's 'Republic': An Introduction written by Sean McAleer and published by Open Book Publishers. This book was released on 2020-11-09 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an excellent book – highly intelligent, interesting and original. Expressing high philosophy in a readable form without trivialising it is a very difficult task and McAleer manages the task admirably. Plato is, yet again, intensely topical in the chaotic and confused world in which we are now living. Philip Allott, Professor Emeritus of International Public Law at Cambridge University This book is a lucid and accessible companion to Plato’s Republic, throwing light upon the text’s arguments and main themes, placing them in the wider context of the text’s structure. In its illumination of the philosophical ideas underpinning the work, it provides readers with an understanding and appreciation of the complexity and literary artistry of Plato’s Republic. McAleer not only unpacks the key overarching questions of the text – What is justice? And Is a just life happier than an unjust life? – but also highlights some fascinating, overlooked passages which contribute to our understanding of Plato’s philosophical thought. Plato’s 'Republic': An Introduction offers a rigorous and thought-provoking analysis of the text, helping readers navigate one of the world’s most influential works of philosophy and political theory. With its approachable tone and clear presentation, it constitutes a welcome contribution to the field, and will be an indispensable resource for philosophy students and teachers, as well as general readers new to, or returning to, the text.
