Intuitionism as a (failed) Kuhnian revolution in mathematics

Studies in History and Philosophy of Science Part A

Volumn 31, Issue 2, 2000, Pages 297-329

  Pourciau, Bruce ^a  

^a LAWRENCE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034195954     PISSN: 00393681     EISSN: 18792510     Source Type: Journal    
DOI: 10.1016/S0039-3681(00)00010-8     Document Type: Article

References (19)

1. Beeson, M. (1985) Foundations Of Constructive Mathematics (Berlin: Springer-Verlag).
2. Benjamin, W. (1968), in H. Arendt (ed.), Illuminations (Harcourt: Brace and World).
3. Bishop, E. (1967) Foundations of Constructive Analysis (New York: Mc-Graw Hill Book Company).
4. Bishop, E. (1975) 'The crisis in contemporary mathematics', Historia Mathematica 2, 507-517.
5. Bishop, E. (1985) 'Schizophrenia in contemporary mathematics', in M. Rosenblatt (ed.), Errett Bishop: Reflections on Him and His Research (Providence: American Mathematical Society), pp. 1-32.
6. Bishop, E. and Bridges, D. (1985) Constructive Analysis (New York: Springer-Verlag). (An outgrowth of Foundations of Constructive Analysis by Errett Bishop, 1967.)
7. Bridges, D. and Richman, F. (1987) Varieties of Constructive Mathematics (Cambridge: Cambridge University Press).
8. Brouwer, L. E. J. (1981), in D. van Dalen (ed.), Brouwer's Cambridge Lectures on Intuitionism (Cambridge: Cambridge University Press).
9. Dummett, M. (1977) Elements of Intuitionism (Oxford: Clarendon Press).
10. Gillies, D. (ed.) (1992) Revolutions in Mathematics (Oxford: Oxford University Press).
11. Kuhn, T. (1970a) 'Reflections on my critics', in I. Lakatos and A. Musgrave (eds), Criticism and the Growth of Knowledge (Cambridge: Cambridge University Press), pp. 231-278.
12. Kuhn, T. (1970b) The Structure of Scientific Revolutions, 2nd Ed, enlarged. (Chicago: University of Chicago Press).
13. Laudan, L. (1990) Science and Relativism: Some Key Controversies in the Philosophy of Science (Chicago: University of Chicago Press).
14. Moore, G. (1982) Zermelo's Axiom of Choice: Its Origins, Development, and Influence (Berlin: Springer-Verlag).
15. Pourciau, B. (1999) 'The education of a pure mathematician', The American Mathematical Monthly 106(8), 720-732.
16. Stolzenberg, G. (1978) 'Can an inquiry into the foundations of mathematics tell us anything interesting about mind?', in Psychology and Biology of Language and Thought: Essays in Honor of Eric Lenneberg (New York: Academic Press), pp. 221-269.
17. Stolzenberg, G. (1970) 'Review of Errett bishop's foundations of constructive analysis', Bulletin of the American Mathematical Society March, 301-323.
18. van Stigt, W. (1990) Brouwer's Intuitionism. Studies in the History and Philosophy of Science, Vol. 2 (Amsterdam: North-Holland).
19. Weyl, H. (1949) Philosophy of Mathematics and Natural Science (Princeton: Princeton University Press).