Combining Texts
Ideas for
'Defending the Axioms', 'Certain Physical Essays' and 'Semantic Relationism'
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10 ideas
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620
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Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
15592
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The usual Tarskian interpretation of variables is to specify their range of values [Fine,K]
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15593
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Variables can be viewed as special terms - functions taking assignments into individuals [Fine,K]
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15590
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It seemed that Frege gave the syntax for variables, and Tarski the semantics, and that was that [Fine,K]
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15591
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In separate expressions variables seem identical in role, but in the same expression they aren't [Fine,K]
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15595
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The 'algebraic' account of variables reduces quantification to the algebra of its component parts [Fine,K]
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15594
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'Instantial' accounts of variables say we grasp arbitrary instances from their use in quantification [Fine,K]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
15599
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Cicero/Cicero and Cicero/Tully may differ in relationship, despite being semantically the same [Fine,K]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605
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Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
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17625
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If two mathematical themes coincide, that suggest a single deep truth [Maddy]
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