Philosophia Mathematica 10 (1):26-42 (2002)

Abstract
This paper examines the problem of extending the programme of mathematical constructivism to applied mathematics. I am not concerned with the question of whether conventional mathematical physics makes essential use of the principle of excluded middle, but rather with the more fundamental question of whether the concept of physical infinity is constructively intelligible. I consider two kinds of physical infinity: a countably infinite constellation of stars and the infinitely divisible space-time continuum. I argue (contrary to Hellman) that these do not. pose any insuperable problem for constructivism, and that constructivism may have a useful new perspective to offer on physics.
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DOI 10.1093/philmat/10.1.26
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References found in this work BETA

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge/Taylor and Francis Group.
Theory and Evidence.Clark N. Glymour - 1980 - Princeton University Press.
Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge.

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