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This chapter presents a category of “mathematical style,” drawing inspiration from a paper by the mathematician Claude Chevalley published in 1935 in the Revue de Métaphysique et de Morale. Comparisons are made with other notions of styles of scientific thinking, such as that developed by Ian Hacking. Particular emphasis is placed on ways of writing as opposed to other traditional ways of characterizing styles in terms of reasoning, concepts, theories, or culture.

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