Journal Article

Category Theory and the Foundations of Mathematics

J. L. Bell

The British Journal for the Philosophy of Science

Vol. 32, No. 4 (Dec., 1981), pp. 349-358

Stable URL: http://www.jstor.org/stable/687305

Page Count: 10

Topics: Category theory, Mathematical set theory, Functors, Mathematical sets, Mathematical topoi, Mathematical objects, Axioms, Topological spaces, Mathematical functions

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References

EILENBERG, S. and MACLANE, S. [1945]: 'General Theory of Natural Equivalences', Transactions of the American Mathematical Society, 58, pp. 239-94.
This reference contains 2 citations:
- FEFERMAN, S. [1977]: 'Categorical Foundations and Foundations of Category Theory' in Butts and Hintikka (eds.), Logic, Foundations of Mathematics and Computability Theory.
- Dordrecht: D. Reidel, pp. 149-69.
GOLDBLATT', R. [1979]: Topoi, the Categorial Analysis of Logic. Amsterdam: North-Holland Publishing Company.
LAWVERE, F. W. [1966]: 'The Category of Categories as a Foundation for Mathematics', in Proceedings of the La Jolla Conference in Categorical Algebra, Springer-Verlag, pp. 1-20.
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MACLANE, S. [1971]: Categories for the Working Mathematician. Berlin: Springer-Verlag.
OSIUS, G. [1974]: 'Categorical Set Theory: A Characterization of the Category of Sets', Journal of Pure and Applied Algebra 4, pp. 79-119.
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