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Item Details
| Title:
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A MATHEMATICAL PRELUDE TO THE PHILOSOPHY OF MATHEMATICS
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| By: |
Stephen Pollard |
| Format: |
Hardback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3319058150 |
| ISBN 13: |
9783319058153 |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
13 May, 2014 |
| Edition: |
2014 ed. |
| Pages: |
202 |
| Description: |
This book draws readers into the philosophy of mathematics by having them do mathematics. Coverage includes primitive recursive arithmetic, Godel's theorems, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. Includes 298 exercises. |
| Synopsis: |
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, Godel'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. |
| Illustrations: |
XI, 202 p. |
| Publication: |
Switzerland |
| Imprint: |
Springer International Publishing AG |
| Returns: |
Non-returnable |
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