The article focuses on texts for algorithms found in the earliest extant mathematical sources in Chinese. It brings to light that texts regularly make use of analogy. On the one hand, the author shows that the texts use several techniques to prescribe by analogy. On the other hand, she highlights that in addition to a prescriptive dimension, these algorithm texts regularly possess an assertive dimension, stating analogies by the way in which they are formulated. She analyses how analogies are thereby stated, proving that commentators on these texts interpreted this dimension of the text and read in it the assertion of an analogy at the level of the reasons underlying the correctness of the algorithm
National audienceMost of the themes of the problems that we find in the mathematical manuscripts rec...
International audienceThe art of rhetoric may be defined as changing other people's minds (opinions,...
In the ancient extant Chinese writings in which practitioners evoke the genesis and history of mathe...
The article focuses on texts for algorithms found in the earliest extant mathematical sources in Chi...
Cet article vise à donner un cadre formel adéquat à l'intérieur duquel analyser une forme de raisonn...
In the mathematical writings that have come down to us from ancient China, proofs did not aim at est...
AbstractIs a mathematical problem a cultural invariant, which would invariably give rise to the same...
International audienceAn algorithm has two facets. It has a text —a written text—, which usually app...
International audienceIs a mathematical problem a cultural invariant, which would invariably give ri...
International audienceThe Chinese Canon entitled The Nine Chapters on Mathematical Procedures (Jiuzh...
AbstractAnalogy is one of the very few phenomena which raises interest for a large number of science...
International audienceIn this article I examine how mathematical procedures were written in ancient ...
This article focuses on three features proofs of the correctness of algorithms found in ancient math...
Until some decades ago, it was customary to discuss much pre-Modern mathematics as “algebra”, withou...
Since at least Dai Zhen's time, the procedures contained in Chapter 2 of The Nine Chapters on mathem...
National audienceMost of the themes of the problems that we find in the mathematical manuscripts rec...
International audienceThe art of rhetoric may be defined as changing other people's minds (opinions,...
In the ancient extant Chinese writings in which practitioners evoke the genesis and history of mathe...
The article focuses on texts for algorithms found in the earliest extant mathematical sources in Chi...
Cet article vise à donner un cadre formel adéquat à l'intérieur duquel analyser une forme de raisonn...
In the mathematical writings that have come down to us from ancient China, proofs did not aim at est...
AbstractIs a mathematical problem a cultural invariant, which would invariably give rise to the same...
International audienceAn algorithm has two facets. It has a text —a written text—, which usually app...
International audienceIs a mathematical problem a cultural invariant, which would invariably give ri...
International audienceThe Chinese Canon entitled The Nine Chapters on Mathematical Procedures (Jiuzh...
AbstractAnalogy is one of the very few phenomena which raises interest for a large number of science...
International audienceIn this article I examine how mathematical procedures were written in ancient ...
This article focuses on three features proofs of the correctness of algorithms found in ancient math...
Until some decades ago, it was customary to discuss much pre-Modern mathematics as “algebra”, withou...
Since at least Dai Zhen's time, the procedures contained in Chapter 2 of The Nine Chapters on mathem...
National audienceMost of the themes of the problems that we find in the mathematical manuscripts rec...
International audienceThe art of rhetoric may be defined as changing other people's minds (opinions,...
In the ancient extant Chinese writings in which practitioners evoke the genesis and history of mathe...