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Philosophy of mathematics : an introduction to the world of proofs and pictures

James Robert Brown

Abstract

This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and computation, proof and conjecture.

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Key concepts: Mathematical proof, Gödel, Platonism, Philosophy of mathematics, Conjecture, Mathematics, Calculus (dental), Algebra over a field