The Logic of Infinity / Barnaby Sheppard.
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| Format: | Book |
| Language: | English |
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Cambridge, UK :
Cambridge University Press,
2014.
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Table of 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.