touching on ‘fisica-matematica’ #1 (french touch)

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.: L’emploi des signes numériques dans les inscriptions Shang :.

– Use of Numerals in Shang Inscriptions
Redouane Djamouri ‘s paper makes a detailed analysis of the role of numerals in the grammar of archaic Chinese language. He puts forward a hypothesis according to which the formation of the system of numbers was closely connected with, and in a sense determined by, the grammatical function of numerals. His paper contains several corrections of the materials published by previous authors on the earliest written forms of numerals on oracle bones.

.: Les Mathématiques Chinoises :.

dossier du ‘Grand Ricci’ by Jean Claude Martzloff

[an useful table of measures linked here]

.: Le changeant et l’immuable :.

by Jacques Gernet

– The Changing and the Immutable.
In the l6th and 17th centuries, the Chinese welcomed the mathematical techniques, procedures and instruments for calculation and astronomical models coming from the West as enthusiastically as they rejected the theological considerations and logical demonstrations which, in Western eyes, were inseparable from them. The Jesuit missionaries based their demonstrations, in theology as in mathematics, on the principle of non-contradiction but the logic of contradiction differs radically from the essentially practical logic of complementary oppositions, dominant in Chinese thinking. As is confirmed by the Book of Changes, or I-Ching, this thinking attaches great importance to the sign, the position and the moment, which the treatises of military strategy and politics teach one how to exploit. In mathematics, as in religion, it is more interested in what changes than in what remains stable, in the particularity of the concrete case rather than in the absolute, devoid of determinations.

.: Structure d’un traité mathématique :.

by K. Volkov Alexeï.

The author shows how the nine coding problems that constitute the mathematical structure of the third century Hai Dao Suan Jing, reveals an association between each of them and Yijing trigrams. In doing so, each trigram is thus represented only one time, except for one of them which is simultaneously associated with problems 4 and 5. The distribution of the problems is in line with the so-called FuXi order, which leads the author to conclude the presence of an eight-terms-structure and a dual center ..