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Synthese

, Volume 92, Issue 3, pp 315–348 | Cite as

Nicolas Bourbaki and the concept of mathematical structure

  • Leo Corry
Article

Abstract

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 view, a superfluous undertaking. This is done by analyzing the role played by the concept, in the first place, within Bourbaki's own mathematical output. Likewise, the interaction between Bourbaki's work and the first stages of category theory is analyzed, on the basis of both published texts and personal documents.

Keywords

Present Article Formal Theory Mathematical Structure Contemporary Mathematics Category Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Leo Corry
    • 1
  1. 1.The Cohn Institute of the History and Philosophy of ScienceTel-Aviv UniversityRamat AvivIsrael

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