Lectures on the Philosophy of Mathematics

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  • Lectures on the Philosophy of Mathematics Book Detail

  • Author : Joel David Hamkins
  • Release Date : 2021-03-09
  • Publisher : MIT Press
  • Genre : Mathematics
  • Pages : 350
  • ISBN 13 : 0262542234
  • File Size : 4,4 MB

Lectures on the Philosophy of Mathematics by Joel David Hamkins PDF Summary

Book Description: 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.

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