Combining Philosophers
Ideas for Hermarchus, C. Anthony Anderson and ystein Linnebo
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9 ideas
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
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18763
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Basic variables in second-order logic are taken to range over subsets of the individuals [Anderson,CA]
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5. Theory of Logic / G. Quantification / 6. Plural Quantification
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10636
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Plural plurals are unnatural and need a first-level ontology [Linnebo]
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10639
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Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
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10783
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Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
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10635
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Second-order quantification and plural quantification are different [Linnebo]
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10641
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Traditionally we eliminate plurals by quantifying over sets [Linnebo]
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10640
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Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
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10778
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Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
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5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
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18771
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Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA]
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