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Ivor Grattan-Guinness: The receptions of Gödel's incompletability theorems by logicians and by mathematicians, 1931-1960


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.