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Concise survey of mathematical logic

Published online by Cambridge University Press:  09 April 2009

John Stillwell
John Stillwell
Affiliation:
Monash University Clayton 3168 Australia
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Abstract

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This paper contains proofs of the compactness, completeness and Löwenheim-Skolem theorems for predicate logic, together with their application to nonstandard numbers; proofs of undecidability in predicate logic and number theory, and the Gödel incompleteness theorem.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 2 , September 1977 , pp. 139 - 161
Copyright
Copyright © Australian Mathematical Society 1977

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