Philosophy of Mathematics

Anthologies:

Paul Benacerraf & Hilary Putnam (eds), Philosophy of Mathematics: Selected Readings, 2nd edn, Cambridge University Press, 1983

• Jan van Heijenoort, From Frege to Godel: a Source Book in Mathematical Logic, 1879-1931, Harvard University Press, 1967

Introductory texts:

• Gottlob Frege, Grundlagen der Arithmetik, Jena, 1884; English translation by John Austin, Foundations of Arithmetic, Blackwell’s, 1959
• Bertrand Russell, Introduction to Mathematical Philosophy, George Allen & Unwin, London, 1919
• Stewart Shapiro, Thinking about mathematics: the philosophy of mathematics,      Oxford University Press, 2000

Also check the Routledge Encyclopedia of Philosophy and the Stanford Encyclopedia of Philosophy for the topics we discuss.

Tutorial Topics

1. Platonism
2. Empiricism
3. Logicism: Frege
4. Logicism: Russell
5. Formalism
6. Intuitionism
7. Fictionalism
8. Structuralism