Nombre et opération, chaîne et trame du réel mathématique. Essai sur le commentaire de Liu Hui sur Les neuf chapitres sur les procédures mathématiques

摘要

Number and Operation, Warp and Weft of Mathematical Reality Karine Chemla proposes a new interpretation of the meaning of the word shu, "number", based on several fragments of Liu Hui' s (fl.+263) commentaries on the mathematical treatise Jiu zhang suan shu. She suggests that the commentator consciously used the polyvalency of certain terms, which permitted him to apply the same general procedures to numbers as well as to algorithms. This allows her to suggest a hypothesis on general description of procedures in mathematics at that time.