Philip Stuart Kitcher (born 20 February 1947) is a British philosopher who is the John Dewey Professor Emeritus of philosophy at Columbia University. He specialises in the philosophy of science, the philosophy of biology, the philosophy of mathematics, and more recently pragmatism.
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Philip Kitcher in the context of Mathematical practice
Mathematical practice comprises the working practices of professional mathematicians: selecting theorems to prove, using informal notations to persuade themselves and others that various steps in the final proof are convincing, and seeking peer review and publication, as opposed to the end result of proven and published theorems.
Philip Kitcher has proposed a more formal definition of a mathematical practice, as a quintuple. His intention was primarily to document mathematical practice through its historical changes.
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