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The History of Mathematical Proof in Ancient Traditions

2012-07-05 Philosophy
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Release : 2012-07-05
Genre : Philosophy
Kind : eBook
Book Rating : 584/5 ( reviews)

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Book Synopsis The History of Mathematical Proof in Ancient Traditions by : Karine Chemla

Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla. This book was released on 2012-07-05. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

The History of Mathematical Proof in Ancient Traditions

2014-05-14 MATHEMATICS
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Release : 2014-05-14
Genre : MATHEMATICS
Kind : eBook
Book Rating : 581/5 ( reviews)

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Book Synopsis The History of Mathematical Proof in Ancient Traditions by : Karine Chemla

Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Handbook of the History and Philosophy of Mathematical Practice

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Genre :
Kind : eBook
Book Rating : 462/5 ( reviews)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Commentaries in the Ancient World

2022-06-09 Political Science
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Release : 2022-06-09
Genre : Political Science
Kind : eBook
Book Rating : 932/5 ( reviews)

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Book Synopsis Mathematical Commentaries in the Ancient World by : Karine Chemla

Download or read book Mathematical Commentaries in the Ancient World written by Karine Chemla. This book was released on 2022-06-09. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book-length analysis of the techniques and procedures of ancient mathematical commentaries. It focuses on examples in Chinese, Sanskrit, Akkadian and Sumerian, and Ancient Greek, presenting the general issues by constant detailed reference to these commentaries, of which substantial extracts are included in the original languages and in translation, sometimes for the first time. This makes the issues accessible to readers without specialized training in mathematics or in the languages involved. The result is a much richer understanding than was hitherto possible of the crucial role of commentaries in the history of mathematics in four different linguistic areas, of the nature of mathematical commentaries in general, of the contribution that the study of mathematical commentaries can make to the history of science and to the study of commentaries in general, and of the ways in which mathematical commentaries are like and unlike other kinds of commentaries.

Scale, Space and Canon in Ancient Literary Culture

2020-02-20 Literary Collections
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Release : 2020-02-20
Genre : Literary Collections
Kind : eBook
Book Rating : 092/5 ( reviews)

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Book Synopsis Scale, Space and Canon in Ancient Literary Culture by : Reviel Netz

Download or read book Scale, Space and Canon in Ancient Literary Culture written by Reviel Netz. This book was released on 2020-02-20. Available in PDF, EPUB and Kindle. Book excerpt: Greek culture matters because its unique pluralistic debate shaped modern discourses. This ground-breaking book explains this feature by retelling the history of ancient literary culture through the lenses of canon, space and scale. It proceeds from the invention of the performative 'author' in the archaic symposium through the 'polis of letters' enabled by Athenian democracy and into the Hellenistic era, where one's space mattered and culture became bifurcated between Athens and Alexandria. This duality was reconfigured into an eclectic variety consumed by Roman patrons and predicated on scale, with about a thousand authors active at any given moment. As patronage dried up in the third century CE, scale collapsed and literary culture was reduced to the teaching of a narrower field of authors, paving the way for the Middle Ages. The result is a new history of ancient culture which is sociological, quantitative, and all-encompassing, cutting through eras and genres.

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