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, G?del?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.
A Mathematical Prelude to the Philosophy of Mathematics Ebook
By: Stephen Pollard
Publisher:
Springer
Print ISBN: 9783319058153, 3319058150
eText ISBN: 9783319058160, 3319058169
Copyright year: 2014
Format: EPUB
Available from $ 54.99 USD
SKU: 9783319058160
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