A puzzle about de rebus beliefs

Analysis 60 (4):297–299 (2000)
George Boolos (1984, 1985) has extensively investigated plural quantifi- cation, as found in such locutions as the Geach-Kaplan sentence There are critics who admire only one another, and he found that their logic cannot be adequately formalized within the first-order predicate calculus. If we try to formalize the sentence by a paraphrase using individual variables that range over critics, or over sets or collections or fusions of critics, we misrepresent its logical structure. To represent plural quantification adequately requires the logical resources of the full second-order predicate calculus.
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DOI 10.1111/1467-8284.00245
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Propositions and Parthood: The Universe and Anti-Symmetry.Chris Tillman & Gregory Fowler - 2012 - Australasian Journal of Philosophy 90 (3):525 - 539.
Sets and Plural Comprehension.Keith Hossack - 2014 - Journal of Philosophical Logic 43 (2-3):517-539.

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