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Lectures on the Philosophy of Mathematics
Joel David Hamkins
出版
MIT Press
, 2021-03-09
主題
Mathematics / History & Philosophy
Mathematics / Logic
Philosophy / Logic
ISBN
0262542234
9780262542234
URL
http://books.google.com.hk/books?id=7N6MEAAAQBAJ&hl=&source=gbs_api
註釋
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.