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单词 Geach-Kaplan sentence
释义
Geach-Kaplan sentence

Logic
  • The natural language sentence

    • Some critics admire only one another.

    The sentence is notable for presenting a natural and easily understood sentence that is nonfirstorderizable, that is, for which there is no corresponding sentence in the language of first-order logic using predicates ‘x is a critic’ and ‘x admires y’, a fact proven by philosopher David Kaplan (1930– ).

    To capture the Geach-Kaplan sentence requires higher-order quantifiers, e.g., it is known to be adequately expressible in logic with plural quantification.


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