Godel's theorem: A proof from the book?

Abstract

Here’s one version G¨ odel’s 1931 First Incompleteness Theorem: If T is a nice, sound theory of arithmetic, then it is incomplete, i.e. there are arithmetical sentences ϕ such that T proves neither ϕ nor ¬ϕ. There are three things here to explain straight away.

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2009-11-21

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Peter Eldridge-Smith
Australian National University

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