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A Mathematical Prelude to the Philosophy of Mathematics. Softcover reprint of the original 1st ed. 2014

A Mathematical Prelude to the Philosophy of Mathematics. Softcover reprint of the original 1st ed. 2014

・ISBN 978-3-319-34833-9 paper EUR 49.99

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お気に入り
著者・編者Pollard, Stephen,
出版社 (Springer International Publishing AG, SZ)
出版年月2016
ページ数202 pp.
言語ENG
ニュース番号<A05-23800>

解説

This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Goedel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.