Combining Texts
Ideas for
'works', 'Identity and Existence in Logic' and 'Nominalism and Substitutional Quantifiers'
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8 ideas
5. Theory of Logic / G. Quantification / 1. Quantification
10799
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Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10790
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Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
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10791
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Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
10785
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Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
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10795
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Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
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10798
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A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
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 / 7. Unorthodox Quantification
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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