A Mathematical Prelude to the Philosophy of Mathematics
Book Details
Format
Hardback or Cased Book
ISBN-10
3319058150
ISBN-13
9783319058153
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
May 22nd, 2014
Print length
202 Pages
Weight
464 grams
Dimensions
24.20 x 16.50 x 1.70 cms
Product Classification:
Philosophy of mathematics
Ksh 10,800.00
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This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in 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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