Nicolas Bourbaki and the concept of mathematical structure

@article{Corry2004NicolasBA,
  title={Nicolas Bourbaki and the concept of mathematical structure},
  author={L. Corry},
  journal={Synthese},
  year={2004},
  volume={92},
  pages={315-348}
}
  • L. Corry
  • Published 2004
  • Computer Science
  • Synthese
  • 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… CONTINUE READING
    49 Citations

    Topics from this paper.

    Reflections on Bourbaki’s Notion of “Structure” and Categories
    Structures And Structuralism In Contemporary Philosophy Of Mathematics
    • 48
    • PDF
    Category theory and the foundations of mathematics: Philosophical excavations
    • J. Marquis
    • Philosophy, Computer Science
    • Synthese
    • 2005
    • 20
    Concept Formation in Mathematics
    • 2
    • PDF
    On Bourbaki’s axiomatic system for set theory
    • 4
    From a structural point of view
    • 3
    Anti-Foundational Categorical Structuralism
    • 1

    References

    SHOWING 1-10 OF 106 REFERENCES
    Mathematics and Reality
    • 56
    The Architecture of Mathematics
    • 202
    • Highly Influential
    • PDF
    Perception and Mathematical Intuition
    • 108
    • PDF
    The Work of Nicholas Bourbaki
    • 60
    Foundations of Mathematics for the Working Mathematician
    • N. Bourbaki
    • Mathematics, Computer Science
    • J. Symb. Log.
    • 1949
    • 72
    • Highly Influential
    • PDF
    On universal mappings and free topological groups
    • 57
    • PDF
    On the theorem of Jordan-Hölder
    • 16
    • PDF
    Theory of sets
    • 238
    • Highly Influential