A Mathematical Prelude to the Philosophy of Mathematics di Stephen Pollard edito da Springer-Verlag GmbH
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A Mathematical Prelude to the Philosophy of Mathematics

EAN:

9783319058153

ISBN:

3319058150

Pagine:
202
Formato:
Hardback
Lingua:
Tedesco
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Descrizione A Mathematical Prelude to the Philosophy of Mathematics

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, Gödel'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.

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