Why Is There Philosophy Of Mathematics At All
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Why Is There Philosophy of Mathematics At All?
Author: Ian Hacking
language: en
Publisher: Cambridge University Press
Release Date: 2014-01-30
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
Lectures on the Philosophy of Mathematics
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.
An Introduction to the Philosophy of Mathematics
Author: Mark Colyvan
language: en
Publisher: Cambridge University Press
Release Date: 2012-06-14
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.