Lectures on the Philosophy of Mathematics
Joel David Hamkins
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.
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.
წელი:
2021
გამომცემლობა:
The MIT Press
ენა:
english
გვერდები:
352
ISBN 10:
0262542234
ISBN 13:
9780262542234
ფაილი:
PDF, 6.94 MB
IPFS:
,
english, 2021
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