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Ideas for
'Structures and Structuralism in Phil of Maths', 'fragments/reports' and 'Nominalism and Substitutional Quantifiers'
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7 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
10791
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Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
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10790
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Quantifiers are needed to refer to infinitely many objects [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
10175
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Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
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