# The History of Mathematical Proof in Ancient Traditions

**Chemla, Karine** [Hrsg.]

*The History of Mathematical Proof in Ancient Traditions* / ed. by Karine Chemla. - Cambridge [u.a.] : Cambridge University Press, 2012. - xv, 596 S. : graph. Darst.

ISBN 978-1-107-01221-9

£ 100,00

DDC: 511.3601

**Beschreibung**

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. [Verlagsinformation]

**Inhalt**

**PART 1: VIEWS ON THE HISTORIOGRAPHY OF MATHEMATICAL PROOF**

*Shaping ancient Greek mathematics: the critical editions of Greek texts in the nineteenth century*

*Elements*and philological uncertainties of Heiberg's edition of the text. 69

*Shaping ancient Greek mathematics: the philosophers' contribution*

*Forming views on the 'Others' on the basis of mathematical proof*

**PART 2: HISTORY OF MATHEMATICAL PROOF IN ANCIENT TRADITIONS: THE OTHER EVIDENCE**

*Critical approaches to Greek practices of proof*

*Proving with numbers: in Greece*

*Proving with numbers: establishing the correctness of algorithms*

*Aryabhaṭīya*. 487

*The later persistence of traditions of proving in Asia: late evidence of traditions of proof*

*The later persistence of traditions of proving in Asia: interactions of various traditions*

**Herausgeberin**

Karine Chemla, is Senior Researcher at the CNRS (Research Unit SPHERE, France) and a Senior Fellow at the Institute for the Study of the Ancient World at New York University. She is also Professor on a Guest Chair at Northwestern University, Xi'an, as well as at Shanghai Jiaotong University and Hebei Normal University, China. She was awarded a 'Chinese Academy of Sciences Visiting Professorship for Senior Foreign Scientists' in 2009. Profile page (CNRS).

Quellen: Cambridge University Press; WorldCat; Amazon (UK); Lehmanns Media

Bildquelle: Cambridge University Press

Bibliographie: [1]

### References

- The History of Mathematical Proof in Ancient Traditions.
__xv, 596 S.__
(2012).

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