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    Natural numbers are not sets, as established by the failu... — Carmelics
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    Challenges→Rational numbers and real numbers are not sets.

    Natural numbers are not sets, as established by the failure of all reasonable reduction attempts.

    Philosophy of LanguageTruth & Knowledge
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    A similar argument to the one against reducing natural numbers to sets can be fo...Rational numbers and real numbers are not sets.

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    Natural numbers are not sets.91%If no reduction of natural numbers to sets succeeds, then natural numb...90%Rational numbers and real numbers are not sets.85%Account I and Account II are both incorrect reductions of natural numb...83%

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    The proper conclusion to draw from this conundrum appears to be that neither account I nor account II is correct. Since similar considerations would emerge from comparing other reasonable-looking attempts to reduce natural numbers to sets, it appears that natural numbers are not sets after all. It is clear, moreover, that a similar argument can be formulated for the rational numbers, the real numbers… Benacerraf concludes that they, too, are not sets at all.

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