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On David Hilbert’s “On the Infinite” (Über das Unendliche) ♾️ Having previously heaped praise on Cantor’s set theory, Hilbert proceeds to point out all the contradictions that are inherent in that theory, seemingly totally oblivious to the incongruity of his stance: “In the joy of discovering new and important results, mathematicians paid too little attention to the validity of their deductive methods. For, simply as a result of employing definitions and deductive methods which had become custom
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