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K. Chemla (2002)
VARIETE DES MODES D'UTILISATION DES TU DANS LES TEXTES MATHEMATIQUES DES SONG ET DES YUAN
H. Jahnke (1996)
History of mathematics and education : ideas and experiences
K. Chemla, Shuchun Guo (2004)
Les neuf chapitres
J. Salanskis, H. Sinaceur (1995)
Le labyrinthe du continu
Lam Lay-Yong, Ang Tian-Se (1986)
Circle Measurements in Ancient ChinaHistoria Mathematica, 13
K. Chemla (1997)
What is at Stake in Mathematical Proofs from Third-Century China?Science in Context, 10
A. Volkov (1994)
Calculation of π in Ancient China: from Liu Hui to Zu Chongzhi, 4
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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