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Philosophy of Mathematics

The following sources are recommended by a professor whose research specialty is the philosophy of mathematics.


 

Six Superlative Sources

· Mathematics as a Science of Patterns. Michael D. Resnik. Oxford University Press, 1997.

· Philosophy of Mathematics. Edited by Paul Benacerraf and Hilary Putnam. Cambridge University Press, 1983.

· A Subject with No Object. John P. Burgess and Gideon Rosen. Oxford University Press, 1997.

· Metaphysical Myths, Mathematics Practice: The Ontology and Epistemology of the Exact Sciences. Jody Azzouni. Cambridge University Press, 1994.

· The Philosophy of Mathematics. Edited by W.D. Hart. Oxford University Press, 1996.

· The Monist. April, 2000. Volume 83, Number 2. General Topic: Applying Mathematics. Editor Barry Smith. Advisory Editor: Penelope Maddy.

Other Excellent Sources

· Mathematics, Matter and Method: Philosophical Papers, Volume 1. Second edition. Hilary Putnam. Cambridge University Press, 1979.

· Realism in Mathematics. Penelope Maddy. Oxford University Press, 1990.

· Naturalism in Mathematics. Penelope Maddy. Oxford University Press, 1997.

· "Must We Believe in Set Theory?" Logic, Logic, and Logic. George Boolos. Harvard University Press, 1998.

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