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Mathematics In Platos Republic
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Book Synopsis A history of Greek mathematics by : Thomas Little Heath
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:
Download or read book Plato’s Republic written by R C Cross and published by Springer. This book was released on 1979-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Explorations in Ancient and Modern Philosophy by : M. F. Burnyeat
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 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.
Book Synopsis The Mathematics of Plato's Academy by : D. H. Fowler
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.
Download or read book Plato's Republic written by Alain Badiou and published by John Wiley & Sons. This book was released on 2013-04-25 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Republic is one of the most well-known and widely discussed texts in the history of philosophy, but how might we get to the heart of this work today, 2500 years after it was originally composed? Alain Badiou invents a new genre in order to breathe fresh life into Plato's text and restore its universality. Rather than producing yet another critical commentary, he has retranslated the work from the original Greek and, by making various changes, adapted it for our times. In this innovative reimagining of a classic text, Badiou has removed all references specific to ancient Greek society, from the endless exchanges about the moral courage of poets to those political considerations that were only of interest to the aristocratic elite. On the other hand, Badiou has expanded the range of cultural references: here philosophy is firing on all cylinders, and Socrates and his companions are joined by Beckett, Pessoa, Freud and Hegel. They demonstrate the enduring nature of true philosophy, always ready to move with the times. Moreover, Badiou the dramatist has made the Socratic dialogue a true oratorial contest: in his version of the Republic, the interlocutors have more in mind than merely agreeing with the Master. They stand up to him, put him on the spot and thereby show thought in motion. Through this work of writing, scholarship and philosophy, we are able, for the first time, to read a version of Plato's text which is alive, stimulating and directly relevant to our world today.
Book Synopsis Plato's 'Republic': An Introduction by : Sean McAleer
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 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.
Book Synopsis The Rhetoric of Plato's Republic by : James L. Kastely
Download or read book The Rhetoric of Plato's Republic written by James L. Kastely and published by University of Chicago Press. This book was released on 2015-08-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato isn’t exactly thought of as a champion of democracy, and perhaps even less as an important rhetorical theorist. In this book, James L. Kastely recasts Plato in just these lights, offering a vivid new reading of one of Plato’s most important works: the Republic. At heart, Kastely demonstrates, the Republic is a democratic epic poem and pioneering work in rhetorical theory. Examining issues of justice, communication, persuasion, and audience, he uncovers a seedbed of theoretical ideas that resonate all the way up to our contemporary democratic practices. As Kastely shows, the Republic begins with two interrelated crises: one rhetorical, one philosophical. In the first, democracy is defended by a discourse of justice, but no one can take this discourse seriously because no one can see—in a world where the powerful dominate the weak—how justice is a value in itself. That value must be found philosophically, but philosophy, as Plato and Socrates understand it, can reach only the very few. In order to reach its larger political audience, it must become rhetoric; it must become a persuasive part of the larger culture—which, at that time, meant epic poetry. Tracing how Plato and Socrates formulate this transformation in the Republic, Kastely isolates a crucial theory of persuasion that is central to how we talk together about justice and organize ourselves according to democratic principles.
Book Synopsis Blindness and Reorientation by : C.D.C. Reeve
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 The Great Philosopher written by Mary Gow and published by Enslow Publishing, LLC. This book was released on 2010-07-01 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Follows the life and teachings of the philosopher Plato, one of the world's greatest thinkers, who in his writings taught us to question what we think we know.
Book Synopsis Plato the Teacher by : William H. F. Altman
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.
Book Synopsis The Cambridge Companion to Plato's Republic by : Giovanni R. F. Ferrari
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 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.
Book Synopsis A Wolf in the City by : Cinzia Arruzza
Download or read book A Wolf in the City written by Cinzia Arruzza and published by Oxford University Press. This book was released on 2018-09-26 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of tyranny preoccupied Plato, and its discussion both begins and ends his famous Republic. Though philosophers have mined the Republic for millennia, Cinzia Arruzza is the first to devote a full book to the study of tyranny and of the tyrant's soul in Plato's Republic. In A Wolf in the City, Arruzza argues that Plato's critique of tyranny intervenes in an ancient debate concerning the sources of the crisis of Athenian democracy and the relation between political leaders and demos in the last decades of the fifth century BCE. Arruzza shows that Plato's critique of tyranny should not be taken as veiled criticism of the Syracusan tyrannical regime, but rather of Athenian democracy. In parsing Plato's discussion of the soul of the tyrant, Arruzza will also offer new and innovative insights into his moral psychology, addressing much-debated problems such as the nature of eros and of the spirited part of the soul, the unity or disunity of the soul, and the relation between the non-rational parts of the soul and reason.
Download or read book Plato: 'The Republic' written by Plato and published by Cambridge University Press. This book was released on 2000-09-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2000, this translation of one of the great works of Western political thought is based on the assumption that when Plato chose the dialogue form for his writing, he intended these dialogues to sound like conversations - although conversations of a philosophical sort. In addition to a vivid, dignified and accurate rendition of Plato's text, the student and general reader will find many aids to comprehension in this volume: an introduction that assesses the cultural background to the Republic, its place within political philosophy, and its general argument; succinct notes in the body of the text; an analytical summary of the work's content; a full glossary of proper names; a chronology of important events; and a guide to further reading. The result is an accomplished and accessible edition of this seminal work, suitable for philosophers and classicists as well as historians of political thought at all levels.
Book Synopsis Pursuing the Good by : Douglas Cairns
Download or read book Pursuing the Good written by Douglas Cairns and published by Edinburgh University Press. This book was released on 2007-11-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the fourth in the Edinburgh Leventis Studies series, comprises a selection of papers from the conference held in Edinburgh March 2005 in conjunction with Professor Terry Penner's tenure of the A. G. Leventis Visiting Research Chair in Greek. It brings together contributions from leading Plato scholars from Britain, Europe and North America on a closely defined topic central to Plato's thought and to Ancient Philosophy--Plato's Form of the Good. The importance of the collection lies in the combination and presentation in one place of a range of different approaches to the good in Plato's Republic, and different solutions to the problems posed and proposed by these approaches. The two central issues, which form an underlying thread throughout the collection, are: first whether Plato's Republic is centred on what is good for individual humans, or on some quasi-moral good; and secondly, what the Form of the Good is. Pursuing the Good goes beyond recent studies in the field, and will appeal to classicists and philosophers alike. To the advanced student, it represents a wide-ranging introduction to central issues of Plato's philosophy; for the academic it will provide stimulus through antithetical and controversial solutions to questions old and new.