Lectures on the Philosophy of Mathematics

by Joel David Hamkins

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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice.

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 themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
  • ISBN10 0262542234
  • ISBN13 9780262542234
  • Publish Date 9 March 2021
  • Publish Status Active
  • Publish Country US
  • Publisher MIT Press Ltd
  • Imprint MIT Press