The History Of Mathematical Proof In Ancient Traditions
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The History of Mathematical Proof in Ancient Traditions
Author | : Karine Chemla |
Publsiher | : Cambridge University Press |
Total Pages | : 135 |
Release | : 2012-07-05 |
Genre | : Philosophy |
ISBN | : 9781139510585 |
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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
Author | : Karine Chemla |
Publsiher | : Unknown |
Total Pages | : 614 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 1139518585 |
Download The History of Mathematical Proof in Ancient Traditions Book in PDF, Epub and Kindle
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
Author | : Bharath Sriraman |
Publsiher | : Springer Nature |
Total Pages | : 3221 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031408465 |
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Mathematical Commentaries in the Ancient World
Author | : Karine Chemla,Glenn W. Most |
Publsiher | : Cambridge University Press |
Total Pages | : 135 |
Release | : 2022-06-09 |
Genre | : Political Science |
ISBN | : 9781108880930 |
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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
Author | : Reviel Netz |
Publsiher | : Cambridge University Press |
Total Pages | : 905 |
Release | : 2020-02-20 |
Genre | : History |
ISBN | : 9781108481472 |
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A history of ancient literary culture told through the quantitative facts of canon, geography, and scale.
The Oxford Handbook of the History of Mathematics
Author | : Eleanor Robson,Jacqueline Stedall |
Publsiher | : Oxford University Press on Demand |
Total Pages | : 927 |
Release | : 2009 |
Genre | : History |
ISBN | : 9780199213122 |
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This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
Powerful Arguments
Author | : Anonim |
Publsiher | : BRILL |
Total Pages | : 633 |
Release | : 2020-03-02 |
Genre | : History |
ISBN | : 9789004423626 |
Download Powerful Arguments Book in PDF, Epub and Kindle
The essays in Powerful Arguments reconstruct the standards of validity underlying argumentative practices in a wide array of late imperial Chinese discourses, ranging from historiography, philosophy, law and religion to natural studies, literature, and the civil examination system.
The Dialogical Roots of Deduction
Author | : Catarina Dutilh Novaes |
Publsiher | : Cambridge University Press |
Total Pages | : 287 |
Release | : 2020-12-17 |
Genre | : Computers |
ISBN | : 9781108479882 |
Download The Dialogical Roots of Deduction Book in PDF, Epub and Kindle
The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.