Category theory: The language of mathematics

Philosophy of Science

Volumn 66, Issue 3 SUPPL. 1, 1999, Pages

  Landry, Elaine ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24944463858     PISSN: 00318248     EISSN: None     Source Type: Journal    
DOI: 10.1086/392712     Document Type: Article

References (12)

1. Bell, John L. (1981), "Category Theory and the Foundations of Mathematics", British Journal for the Philosophy of Science 32: 349-358.
2. Lambek, J. (1994), "Are the traditional philosophies of mathematics really incompatible?", The Mathematical Intelligencer 16: 56-62.
3. Lambek, J. and J. Scott (1989), Introduction to Higher Order Categorical Logic. New York: Cambridge University Press.
4. Lawvere, F.W. (1966), "The Category of Categories as a Foundation of Mathematics", Proceedings of the Conference on Categorical Algebra (La Jolla 1965). New York: Springer Verlag, 1-20.
5. Mac Lane, S. (1968), "Foundations of Mathematics: Category Theory", in R. Klibansky, (ed.), Contemporary Philosophy: A Survey. Firenza: la Nuova Italia Editrice, 286-294.
6. _. (1971), "Categorical Algebra And Set-Theoretic Foundations", in Axiomatic Set Theory, Proceedings of the Symposium of Pure Mathematics 13, Part I. American Mathematical Society, 231-240.
7. _. (1992), "The Protean Character of Mathematics", in J. Echeverra, A. Ibarra, and J. Mormann (eds.), The Space of Mathematics. New York: de Gruyter, 3-12.
8. Mayberry, J. (1977), "On the Consistency Problem for Set Theory", British Journal for the Philosophy of Science 28: 1-34.
9. _. (1990), "What is Required of a Foundation for Mathematics?", in J. L. Bell, (ed.), "Categories in the Foundations of Mathematics and Language", Philosophia Mathematica, (3), 2, Special Issue, 16-35.
10. McLarty, C. (1990), "The Uses and Abuses of the History of Topos Theory", British Journal for the Philosophy of Science 41: 351-375.
11. _. (1995), Elementary Categories, Elementary Toposes. Toronto: Clarendon Press.
12. Resnik, M. D. (1996), "Structural Relativity", in S. Shapiro (ed.), "Mathematical Structuralism", Philosophia Mathematica (3), 4, Special Issue, 83-99.