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Visualization, Explanation and Reasoning Styles in MathematicsThe Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento

Visualization, Explanation and Reasoning Styles in Mathematics: The Interplay Between Proof and... KARINE CHEMLA THE INTERPLAY BETWEEN PROOF AND ALGORITHM IN 3RD CENTURY CHINA: THE OPERATION AS PRESCRIPTION OF COMPUTATION AND THE OPERATIONAS ARGUMENT In the 1960s, historians of mathematics in China drew the attention of the international scholarly community to the fact that a Chinese text dating from rd the 3 century, in fact, contained mathematical proofs. Both their emphasis on the phenomenon and, in some respect, their way of analyzing it bore witness to the importance Western scholars attach to such facts. As is well known, history of mathematics has regularly been used as a battlefield where nations, even civilizations, were competing and producing the evidence of their value. In this context, mathematical proof has played a dramatic part. As a last resort for some, it represents that by which the Western contribution to mathematics is deemed to be the most decisive. In some of my colleagues’ opinion, it would be that which proves that only the West developed a speculative approach to mathematics. It seems to me useful to recall this context, since it deeply influenced rd the way in which the proofs written by Liu Hui, our 3 century author, have regularly been analyzed. In the first http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Visualization, Explanation and Reasoning Styles in MathematicsThe Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento

Part of the Synthese Library Book Series (volume 327)
Editors: Mancosu, Paolo; Jørgensen, Klaus Frovin; Pedersen, Stig Andur

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References (7)

Publisher
Springer Netherlands
Copyright
© Springer 2005
ISBN
978-1-4020-3334-6
Pages
123 –145
DOI
10.1007/1-4020-3335-4_7
Publisher site
See Chapter on Publisher Site

Abstract

KARINE CHEMLA THE INTERPLAY BETWEEN PROOF AND ALGORITHM IN 3RD CENTURY CHINA: THE OPERATION AS PRESCRIPTION OF COMPUTATION AND THE OPERATIONAS ARGUMENT In the 1960s, historians of mathematics in China drew the attention of the international scholarly community to the fact that a Chinese text dating from rd the 3 century, in fact, contained mathematical proofs. Both their emphasis on the phenomenon and, in some respect, their way of analyzing it bore witness to the importance Western scholars attach to such facts. As is well known, history of mathematics has regularly been used as a battlefield where nations, even civilizations, were competing and producing the evidence of their value. In this context, mathematical proof has played a dramatic part. As a last resort for some, it represents that by which the Western contribution to mathematics is deemed to be the most decisive. In some of my colleagues’ opinion, it would be that which proves that only the West developed a speculative approach to mathematics. It seems to me useful to recall this context, since it deeply influenced rd the way in which the proofs written by Liu Hui, our 3 century author, have regularly been analyzed. In the first

Published: Jan 1, 2005

Keywords: Poss; Exter

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