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The Mathematics of Plato s Academy

The Mathematics of Plato s Academy Author D. H. Fowler
ISBN-10 0198502583
Release 1999
Pages 441
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In this new expanded edition, Fowler provides a detailed examination of the ancient texts related to the subject and gives a thought-provoking new interpretation. Among the features of this edition are an appendix, a new epilogue, and an updated bibliography.

Reader s Guide to the History of Science

Reader s Guide to the History of Science Author Arne Hessenbruch
ISBN-10 188496429X
Release 2000-01
Pages 934
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"A readers' advisory to the best books on the history of science. Written by 200 international scholars, the 600 comparative essays begin with a bibliography of important works, followed by reviews of those sources in the body of the entry. Important concepts and processes, phenomena, and scientists as well as scientific developments in different countries are covered."--"Outstanding Reference Sources," American Libraries, May 2002.

Agora Academy and the Conduct of Philosophy

Agora  Academy  and the Conduct of Philosophy Author Debra Nails
ISBN-10 9789401101516
Release 2012-12-06
Pages 267
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Agora, Academy, and the Conduct of Philosophy offers extremely careful and detailed criticisms of some of the most important assumptions scholars have brought to bear in beginning the process of (Platonic) interpretation. It goes on to offer a new way to group the dialogues, based on important facts in the lives and philosophical practices of Socrates - the main speaker in most of Plato's dialogues - and of Plato himself. Both sides of Debra Nails's arguments deserve close attention: the negative side, which exposes a great deal of diversity in a field that often claims to have achieved a consensus; and the positive side, which insists that we must attend to what we know of these philosophers' lives and practices, if we are to make a serious attempt to understand why Plato wrote the way he did, and why his writings seem to depict different philosophies and even different approaches to philosophizing. From the Preface by Nicholas D. Smith.

Two Studies in the Early Academy

Two Studies in the Early Academy Author R. M. Dancy
ISBN-10 0791406334
Release 1991-08-06
Pages 219
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This book presents two new interpretations of the evidence regarding the metaphysical ideas of two important figures in Plato’s Academy, Eudoxus and Speusippus, and of Aristotle’s reaction to those ideas. The central question has to do with Plato’s “Theory of Forms.” The first interpretation portrays Eudoxus reviving a view of Anaxagoras’ and advocating that the Forms are physical ingredients in things. This has affinities with Aristotle’s own view, so it is interesting that Aristotle argues for its rejection. The essay extracts Aristotle’s arguments from material in late sources and examines them in depth. The second interpretation discusses Speusippus’ replacement of the Theory of Forms with a theory that derives all that there is from the One, which does not itself exist. His argument for this strange position is reconstructed, and the relations between the theory of causality, to which it is opposed, are laid out. The Academy was not a source of dogma, but of discussion. In reconstructing central aspects of that discussion, these interpretations seek to get behind mere reportage of what little is known to the actual arguments current in the halls of the Academy.

Early Astronomy

Early Astronomy Author Hugh Thurston
ISBN-10 0387948228
Release 1996-08-29
Pages 268
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Many civilizations produced astronomical texts, and many cultures that left no written records, left monuments ranging from rock paintings to Stonehenge, that show a clear interest in astronomy. This text is the history of such cultures along with the disc

Socratic Platonic and Aristotelian Studies Essays in Honor of Gerasimos Santas

Socratic  Platonic and Aristotelian Studies  Essays in Honor of Gerasimos Santas Author Georgios Anagnostopoulos
ISBN-10 940071730X
Release 2011-08-12
Pages 410
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This volume contains outstanding studies by some of the best scholars in ancient Greek Philosophy on key topics in Socratic, Platonic, and Aristotelian thought. These studies provide rigorous analyses of arguments and texts and often advance original interpretations. The essays in the volume range over a number of central themes in ancient philosophy, such as Socratic and Platonic conceptions of philosophical method; the Socratic paradoxes; Plato's view on justice; the nature of Platonic Forms, especially the Form of the Good; Aristotle's views on the faculties of the soul; Aristotle's functionalist account of the human good; Socratic, Platonic, and Aristotelian views on the nature of desire and its object. The volume will be of interest to students and scholars of ancient philosophy and classics.

The Heirs of Plato

The Heirs of Plato Author John Dillon
ISBN-10 9780191519253
Release 2003-01-30
Pages 262
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The Heirs of Plato is the first book exclusively devoted to an in-depth study of the various directions in philosophy taken by Plato's followers in the first seventy years or so following his death in 347 BC. - the period generally known as 'The Old Academy'. Speusippus, Xenocrates, and Polemon, the three successive heads of the Academy in this period, though personally devoted to the memory of Plato, were independent philosophers in their own right, and felt free to develop his heritage in individual directions. This is also true of other personalities attached to the school, such as Philippus of Opus, Heraclides of Pontus, and Crantor of Soli. After an introductory chapter on the school itself, and a summary of Plato's philosophical heritage, John Dillon devotes a chapter to each of the school heads, and another to the other chief characters, exploring both what holds them together and what sets them apart. There is a final short chapter devoted to the turn away from dogmatism to scepticism under Arcesilaus in the 270s, and some reflections on the intellectual debt of Stoicism to the thought of Polemon, in particular. Dillon's clear and accessible book fills a significant gap in our understanding of Plato's immediate philosophical influence, and will be of great value to scholars and historians of ancient philosophy.

The Transformation of Mathematics in the Early Mediterranean World

The Transformation of Mathematics in the Early Mediterranean World Author Reviel Netz
ISBN-10 0521041740
Release 2007-09-10
Pages 212
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The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics.


Laws Author Plato
ISBN-10 9780486149578
Release 2013-02-06
Pages 304
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A lively dialogue between a foreign philosopher and a powerful statesman reflects the essence of Platonic reasoning on political theory and practice. It also embodies the philosopher's practical ideas about a utopian republic.

Lore and Science in Ancient Pythagoreanism

Lore and Science in Ancient Pythagoreanism Author Walter Burkert
ISBN-10 0674539184
Release 1972-01
Pages 535
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For the first English edition of his distinguished study, Weisheit und Wissenschaft: Studien zu Pythagoras, Philoloas und Platon, Mr. Burkert has extensively revised both text and notes, taking into account additional literature that has appeared since 1962.

Understanding Psychology as a Science

Understanding Psychology as a Science Author Zoltan Dienes
ISBN-10 9781137096050
Release 2008-02-28
Pages 184
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What makes psychology a science? What is the logic underlying psychological research? In this groundbreaking book Zoltán Dienes introduces students to key issues in the philosophy of science and statistics that have a direct and vital bearing on the practice of research in psychology. The book is organised around the influential thinkers and conceptual debates which pervade psychological research and teaching but until now have not been made accessible to students. In a clear and fluid style, Dienes takes the reader on a compelling tour of the ideas of: - Popper - Kuhn& Lakatos - Neyman& Pearson - Bayes - Fisher& Royall Featuring examples drawn from extensive teaching experience to ground the ideas firmly in psychological science, the book is an ideal companion to courses and modules in psychological research methods and also to those covering conceptual and historical issues.

The Open Society and Its Enemies The spell of Plato

The Open Society and Its Enemies  The spell of Plato Author Karl Raimund Popper
ISBN-10 0691019681
Release 1971
Pages 420
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A critical appraisal of political and historical philosophies, delineating the threat to freedom posed by several classical thinkers

Platonic Studies of Greek Philosophy

Platonic Studies of Greek Philosophy Author Robert Sherrick Brumbaugh
ISBN-10 0887068979
Release 1989
Pages 296
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Platonic Studies of Greek Philosophy has been writing in one form or another for most of life. You can find so many inspiration from Platonic Studies of Greek Philosophy also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Platonic Studies of Greek Philosophy book for free.

Aristotle Transformed

Aristotle Transformed Author Richard Sorabji
ISBN-10 9781472589095
Release 2016-06-30
Pages 648
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This book brings together twenty articles giving a comprehensive view of the work of the Aristotelian commentators. First published in 1990, the collection is now brought up to date with a new introduction by Richard Sorabji. New generations of scholars will benefit from this reissuing of classic essays, including seminal works by major scholars, and the volume gives a comprehensive background to the work of the project on the Ancient Commentators on Aristotle, which has published over 100 volumes of translations since 1987 and has disseminated these crucial texts to scholars worldwide. The importance of the commentators is partly that they represent the thought and classroom teaching of the Aristotelian and Neoplatonist schools and partly that they provide a panorama of a thousand years of ancient Greek philosophy, revealing many original quotations from lost works. Even more significant is the profound influence Â? uncovered in some of the chapters of this book Â? that they exert on later philosophy, Islamic and Western. Not only did they preserve anti-Aristotelian material which helped inspire Medieval and Renaissance science, but they present Aristotle in a form that made him acceptable to the Christian church. It is not Aristotle, but Aristotle transformed and embedded in the philosophy of the commentators that so often lies behind the views of later thinkers.

Trends in the Historiography of Science

Trends in the Historiography of Science Author Kostas Gavroglu
ISBN-10 9789401735964
Release 2013-04-18
Pages 460
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The articles in this volume have been first presented during an international Conference organised by the Greek Society for the History of Science and Technology in June 1990 at Corfu. The Society was founded in 1989 and planned to hold a series of meetings to impress upon an audience comprised mainly by Greek students and scholars, the point that history of science is an autonomous discipline with its own plurality of approaches developed over the years as a result of long discussions and disputes within the community of historians of science. The Conference took place at a time when more and more people came to realise that the future of the Greek Universities and Research Centres depends not only on the progress of the institutional reforms, but also very crucially on the establishment of new and modern subject areas. Though there have been significant steps towards such a direction in the physical sciences, mathematics and engineering, the situation in the so-called humanities has been, at best, confusing. Political expediencies of the post war years and ideological commitments to a glorious, yet very distant past, paralysed the development of the humanities and constrained them within a framework which could not allow much more than a philological approach.

Euclid s Phaenomena

Euclid s Phaenomena Author Euclid
ISBN-10 9780821840726
Release 1996
Pages 132
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This book contains a translation and study of ""Euclid's Phaenomena"", a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of ""Ptolemy's Almagest"".""The Phaenomena"" itself begins with an introduction (possibly not by Euclid) followed by eighteen propositions set out in geometrical style about how arcs of the zodiacal circle move across the sky. The astronomical application is to the small arc of that circle occupied by the Sun, but the Sun is not mentioned. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with ""Euclid's Optics"", one has the beginnings of the history of science as an application of mathematics.

The Parrot s Theorem

The Parrot s Theorem Author Denis Guedj
ISBN-10 9781466851672
Release 2013-08-20
Pages 352
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Mr. Ruche, a Parisian bookseller, receives a bequest from a long lost friend in the Amazon of a vast library of math books, which propels him into a great exploration of the story of mathematics. Meanwhile Max, whose family lives with Mr. Ruche, takes in a voluble parrot who will discuss math with anyone. When Mr. Ruche learns of his friend's mysterious death in a Brazilian rainforest, he decides that with the parrot's help he will use these books to teach Max and his brother and sister the mysteries of Euclid's Elements, Pythagoras's Theorem and the countless other mathematical wonders. But soon it becomes clear that Mr. Ruche has inherited the library for reasons other than enlightenment, and before he knows it the household is racing to prevent the parrot and vital, new theorems from falling into the wrong hands. An immediate bestseller when first published in France, The Parrot's Theorem charmingly combines a straightforward history of mathematics and a first-rate murder mystery.