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Lectures on the Philosophy of Mathematics
Lectures on the Philosophy of Mathematics
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Size: Paperback
In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themesnumbers, rigor, geometry, proof, computability, incompleteness, and set theorythat give rise again and again to philosophical considerations.