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Full Idea
Gödel's theorem states that either arithmetic is incomplete, or it is inconsistent.
Gist of Idea
Gödel showed that arithmetic is either incomplete or inconsistent
Source
report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.7
Book Ref
Rey,Georges: 'Contemporary Philosophy of Mind' [Blackwell 1997], p.224