# Nicolas Bourbaki and the concept of mathematical structure

@article{Corry1992NicolasBA, title={Nicolas Bourbaki and the concept of mathematical structure}, author={Leo Corry}, journal={Synthese}, year={1992}, volume={92}, pages={315-348} }

In the present article two possible meanings of the term “mathematical structure” are discussed: a formal and a nonformal one. It is claimed that contemporary mathematics is structural only in the nonformal sense of the term. Bourbaki's definition of structure is presented as one among several attempts to elucidate the meaning of that nonformal idea by developing a formal theory which allegedly accounts for it. It is shown that Bourbaki's concept of structure was, from a mathematical point of…

## 57 Citations

### The Functional Role of Structures in Bourbaki

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- PhilosophyThe Mathematical Intelligencer
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I n the historical note concluding his fascicle on structures published in 1957, the Bourbaki group asserts that ‘‘every structure carries within itself a notion of isomorphism.’’ 1 The same note…

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The article is a discussion of the nature of structure in Bourbaki's “Elements de Mathematique”, contrasting it with the account of structure arising in category theory. It is also explained how…

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- 2011

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- 2012

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In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In…

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