Download or read book The Role of Mathematics in Plato s Republic written by Kevin Bryan Bedell and published by . This book was released on 1990 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History of Greek Mathematics written by Sir Thomas Little Heath and published by . This book was released on 1921 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics in Plato s Republic written by Sarah Broadie and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A discussion of Plato's evaluation of mathematics as an intellectual discipline, and his reasons for training his philosopher-rulers to be mathematical experts"--
Download or read book The Unity of Mathematics in Plato s Republic written by Theokritos Kouremenos and published by Franz Steiner Verlag Wiesbaden GmbH. This book was released on 2015 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his Republic Plato considers grasping the unity of mathematics as the ultimate goal of the mathematical studies in which the future philosopher-rulers must engage before they turn to philosophy. How the unity of mathematics is supposed to be understood is not explained, however. This book argues that Plato conceives of the unity of mathematics in terms of the mutually benefiting links between its branches, just as he conceives of the unity of the state outlined in the Republic in terms of the common benefit for all citizens. Evidence for this view is provided by a discussion of his conception of astronomy as a propedeutic to philosophy, which can be best understood as hinting at a historically possible link between fourth-century-BC astronomy and solid geometry. The monograph also includes a detailed discussion of two well-known stories about Plato: not only he motivated Greek mathematicians to solve a difficult problem in solid geometry with his interpretation of a Delphic oracle given to the inhabitants of the island of Delos but he also posed the question which led to the development of the astronomical theory of homocentric spheres. It is argued that these stories are best understood as fictional episodes in Plato's life, constructed from passages in his works.
Download or read book The Republic written by By Plato and published by BookRix. This book was released on 2019-06-15 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Republic is a Socratic dialogue, written by Plato around 380 BCE, concerning the definition of justice, the order and character of the just city-state and the just man. The dramatic date of the dialogue has been much debated and though it must take place some time during the Peloponnesian War, "there would be jarring anachronisms if any of the candidate specific dates between 432 and 404 were assigned". It is Plato's best-known work and has proven to be one of the most intellectually and historically influential works of philosophy and political theory. In it, Socrates along with various Athenians and foreigners discuss the meaning of justice and examine whether or not the just man is happier than the unjust man by considering a series of different cities coming into existence "in speech", culminating in a city (Kallipolis) ruled by philosopher-kings; and by examining the nature of existing regimes. The participants also discuss the theory of forms, the immortality of the soul, and the roles of the philosopher and of poetry in society.
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.
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 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
Download or read book An Engagement with Plato s Republic written by Basil Mitchell and published by Routledge. This book was released on 2017-07-05 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outrageous, unfashionable, politically incorrect though many of Plato's opinions undoubtedly are, we should not just dismiss them as thoughts now unthinkable, but think through them, recognising the force of the arguments that led Plato to enunciate them and consider the counter-arguments he might have marshalled to meet contemporary objections. This book encourages today's students to engage in Plato's thought, grapple with Plato's arguments, and explore the relevance of his arguments in contemporary terms. A text only comes alive if we make it our own; Plato's great work The Republic, often reads as though it were addressing the problems of the day rather than those of ancient Athens. Treating The Republic as a whole and offering a comprehensive introduction to Plato's arguments, Mitchell and Lucas draw students into an exploration of the relevance of Plato's thought to our present ideas about politics, society and education, as well as the philosophy of mathematics, science and religion. The authors bring The Republic to life. The first chapters help the reader to make sense of the text, either in translation or the original Greek. Later chapters deal with the themes that Plato raises, treating Plato as a contemporary. Plato is inexhaustible: he speaks to many different people of different generations and from different backgrounds. The Republic is not just an ancient text: it never ceases to be relevant to contemporary concerns, and it demands fresh discussion in every age.
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 Cambridge Companion to Plato s Republic written by Giovanni R. F. Ferrari and published by Cambridge University Press. This book was released on 2007 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fresh and comprehensive account of this outstanding work, which remains among the most frequently read works of Greek philosophy, indeed of Classical antiquity in general.
Download or read book Blindness and Reorientation written by C.D.C. Reeve and published by Oxford University Press. This book was released on 2013 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: C. D. C. Reeve develops a powerful new account of the age-old argument over whether the just are happier than the unjust, drawing from a new understanding of Plato's conception of philosophy.
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 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 158 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.
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 and Pythagoreanism written by Phillip Sidney Horky and published by Oxford University Press. This book was released on 2016 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Was Plato a Pythagorean? Plato's students and earliest critics thought so, but later scholars have been more skeptical. Plato and Pythagoreanism reconsiders this question by arguing that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, played a profound role in Plato's philosophy.
Download or read book The Allegory of the Cave written by Plato and published by Strelbytskyy Multimedia Publishing. This book was released on 2021-01-08 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Allegory of the Cave, or Plato's Cave, was presented by the Greek philosopher Plato in his work Republic (514a–520a) to compare "the effect of education (παιδεία) and the lack of it on our nature". It is written as a dialogue between Plato's brother Glaucon and his mentor Socrates, narrated by the latter. The allegory is presented after the analogy of the sun (508b–509c) and the analogy of the divided line (509d–511e). All three are characterized in relation to dialectic at the end of Books VII and VIII (531d–534e). Plato has Socrates describe a group of people who have lived chained to the wall of a cave all of their lives, facing a blank wall. The people watch shadows projected on the wall from objects passing in front of a fire behind them, and give names to these shadows. The shadows are the prisoners' reality.
