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'', 'III.10 On Restraining your Will' and 'Nominalism and Substitutional Quantifiers'
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12 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11211
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If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10794
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The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11210
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Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
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11212
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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
10786
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Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
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10788
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Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
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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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