What work (or works) are best for beginning an independent study of the philosophy of mathematics?
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1"Best" is a subjective term... there seems to be some obvious hits using google, have you tried that? Do you have some particular thing your looking for (history of philosophy of mathematics? modern understanding of the philosophy of mathematics? How mathematics relates to other subjects?) Giving more context would be helpful.– James KingsberyAug 3, 2015 at 18:32
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Steward Shapiro, "Thinking about Mathematics" (2000)– lodrikAug 6, 2015 at 13:25
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1 Answer
Some historical :
Morris Kline, Mathematics: The Loss of Certainty, 1980
Marcus Giaquinto, The Search for Certainty : A Philosophical Account of Foundations of Mathematics, 2002.
Some anthologies, like :
- Stewart Shapiro (editor), The Oxford Handbook of Philosophy of Mathematics and Logic, 2005.
Very useful also the articles in Stanford Encyclopedia of Philosophy (with bibliography) starting with Philosophy of Mathematics.