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    Second-order logic requires that the domain of concepts b... — Carmelics
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    Challenges→The addition of Basic Law V to second-order logic implies a contradiction.

    Second-order logic requires that the domain of concepts be strictly larger than the domain of extensions, since concepts range over all subsets of the domain.

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    A domain cannot be simultaneously strictly larger than another domain and equal ...Basic Law V requires that the domain of extensions be as large as the domain of ...The addition of Basic Law V to second-order logic implies a contradiction.

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    Basic Law V requires that the domain of extensions be as large as the ...87%The basic tenet of second-order logic is that all properties of elemen...78%First-order logic (FO) alone is insufficient to characterize complexit...77%A domain cannot be simultaneously strictly larger than another domain ...77%

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    Thus, the addition of Basic Law V to second-order logic implies an impossible situation in which the domain of concepts has to be strictly larger than the domain of extensions while at the same time the domain of extensions has to be as large as the domain of concepts.

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