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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 9781134263011
Release 2013-12-16
Pages 966
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The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.

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.

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.

Sherlock Holmes in Babylon

Sherlock Holmes in Babylon Author Marlow Anderson
ISBN-10 0883855461
Release 2004-10-14
Pages 387
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Collection of essays on the history of mathematics by distinguished authorities.

Thornton and Tully s Scientific Books Libraries and Collectors

Thornton and Tully s Scientific Books  Libraries and Collectors Author Andrew Hunter
ISBN-10 9781351878951
Release 2016-12-05
Pages 424
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In the 25 years since the last edition of Thornton and Tully’s Scientific Books, Libraries and Collectors was published, scientific publishing has mushroomed, developed new forms, and the academic discipline and popular appreciation of the history of science have grown apace. This fourth edition discusses these changes and ponders the implications of developments in publishing at the end of the twentieth century, while concentrating its gaze upon the dissemination of scientific ideas and knowledge from Antiquity to the industrial age. In this shift of focus it departs from previous editions, and for the first time a chapter on Islamic science is included. Recurrent themes in several of the ten essays in the present volume are the definition of ’science’ itself, and its transmutation by publishing media and the social context. Two essays on the collecting of scientific books provide a counterpoint, and the book is grounded on a rigorous chapter on bibliographies. The timely publication of Scientific Books, Libraries and Collectors comes at the coincidence of the advent of electronic publishing and the millennium, a dramatic moment at which to take stock.

The Space of Mathematics

The Space of Mathematics Author Javier Echeverria
ISBN-10 9783110870299
Release 1992-01-01
Pages 438
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The Space of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from The Space of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Space of Mathematics book for free.

New Directions in the Philosophy of Mathematics

New Directions in the Philosophy of Mathematics Author Thomas Tymoczko
ISBN-10 0691034982
Release 1998
Pages 436
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The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.

The People of Plato

The People of Plato Author Debra Nails
ISBN-10 1603844031
Pages 464
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The first study since 1823 devoted exclusively to the identification of, and relationships among, the individuals who appear in the Platonic dialogues, this prosopography incorporates the results of modern epigraphical and papyrological research, and enables one to consider the individuals of Plato's works, and those of other Socratics, within a nexus of important political, social, and familial relationships. Includes maps, stemmata, diagrams, glossary, and bibliography.

Creators of Mathematical and Computational Sciences

Creators of Mathematical and Computational Sciences Author Ravi Agarwal
ISBN-10 9783319108704
Release 2014-11-11
Pages 495
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​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Dictionary of World Philosophy

Dictionary of World Philosophy Author A. Pablo Iannone
ISBN-10 9781134680436
Release 2013-04-15
Pages 576
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The Dictionary of World Philosophy covers the diverse and challenging terminology, concepts, schools and traditions of the vast field of world philosophy. Providing an extremely comprehensive resource and an essential point of reference in a complex and expanding field of study the Dictionary covers all major subfields of the discipline. Key features: * Cross-references are used to highlight interconnections and the cross-cultural diffusion and adaptation of terms which has taken place over time * The user is led from specific terms to master entries which provide valuable historical and cultural context * Each master entry is followed by at least two suggestions for further reading on the subject, creating a substantial bibliography of world philosophy * References extend beyond philosophy to related areas such as cognitive science, computer science, language and physics Subdisciplines covered include:* aesthetics * ethics * sociopolitical philosophy * the philosophy of law * epistemology * logic * the philosophy of science * the philosophy of mind * the philosophy of culture and history * metaphysics * the philosophy of religion Entries are drawn from West Africa, Arabic, Chinese, Indian, Japanese, Jewish, Korean, Latin American, Maori and Native American philosophy including the important and so far largely neglected instance of Pre-Hispanic thought: Nahua philosophy.

New Perspectives on Mathematical Practices

New Perspectives on Mathematical Practices Author Bart van Kerkhove
ISBN-10 9789812812223
Release 2009-01
Pages 235
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This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.

Mathematics in Ancient Egypt

Mathematics in Ancient Egypt Author Annette Imhausen
ISBN-10 9781400874309
Release 2016-02-16
Pages 248
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Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.

Apollonius of Perga s Conica

Apollonius of Perga s Conica Author Michael N. Fried
ISBN-10 9004119779
Release 2001
Pages 499
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This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's "Die Lehre von den Kogelschnitten im Altertum."

Calculus A Liberal Art

Calculus  A Liberal Art Author W.M. Priestley
ISBN-10 9781461216582
Release 2012-12-06
Pages 404
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Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.

Symbols and Meanings in School Mathematics

Symbols and Meanings in School Mathematics Author David Pimm
ISBN-10 9781134823666
Release 2002-11-01
Pages 240
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Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.