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Ivor Grattan-Guinness: The receptions of Gödel's incompletability
theorems by logicians and by mathematicians, 1931-1960
Abstract
Among those concerned with mathematical logic and axiomatics, the impact of
Gödel's 1931 theorems was fairly rapid and positive, although a
few notable figures were rather slow. But the reception in the mathematical
community in general seems to have been much slower and more muted.
Evidence for this
impression will be presented from the literature, especially general books
on mathematics. The slowness is itself evidence of the ambiguous attitude
that mathematicians have always shown towards logic.
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