The structure of mathematical experience according to Jean cavaillèst

Philosophia Mathematica 4 (1):18-41 (1996)
  Copy   BIBTEX


In this expository article one of the contributions of Jean Cavailles to the philosophy of mathematics is presented: the analysis of ‘mathematical experience’. The place of Cavailles on the logico-philosophical scene of the 30s and 40s is sketched. I propose a partial interpretation of Cavailles's epistemological program of so-called ‘conceptual dialectics’: mathematical holism, duality principles, the notion of formal contents, and the specific temporal structure of conceptual dynamics. The structure of mathematical abstraction is analysed in terms of its complementary dimensions: paradigmatic generalization (domain extension, descriptive definitions, creative role of the symbolism...) and thematic reflexivity of concepts (promotion of operations to objects of a higher type).



    Upload a copy of this work     Papers currently archived: 77,670

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles


Added to PP

93 (#137,202)

6 months
5 (#166,190)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Bibliographie de Jean Cavaillès établie le 10 juillet 2018.Paul Cortois - 2020 - Revue de Métaphysique et de Morale 2:209-229.

Add more citations

References found in this work

Domain Extension and the Philosophy of Mathematics.Kenneth Manders - 1989 - Journal of Philosophy 86 (10):553-562.
La Logique de Husserl.Suzanne Bachelard - 1958 - Philosophy and Phenomenological Research 19 (1):126-127.
Das Kontinuum.H. Weyl - 1960 - Journal of Symbolic Logic 25 (3):282-284.

View all 13 references / Add more references