Screen LibraryThe logic of Infinity /
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| Main Authors: | |
|---|---|
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge, United Kingdom : |
| Publication Dates: | 2014. |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Carrier Form: | xxiv, 473 pages : illustrations ; 25 cm |
| Bibliography: | Includes bibliographical references (pages 429-461) and index. |
| ISBN: |
9781107058316 (hardback) : 1107058317 (cloth) 9781107678668 (paperback) 1107678668 (paperbwck) |
| Index Number: | QA248 |
| CLC: |
O14 O144 |
| Call Number: | O144/S549 |
| Contents: | Introduction -- Logical foundations -- Avoiding Russell's paradox -- Further axioms -- Relations and order -- Ordinal numbers and the axiom of infinity -- Infinite arithmetic -- Cardinal numbers -- The axiom of choice and the continuum hypothesis -- Models -- From Gödel to Cohen. Peano arithmetic ; Zermelo-Fraenkel set theory ; Gödel's incompleteness theorems -- Bibliography -- Index. |