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Ideas for
'fragments/reports', 'What are Sets and What are they For?' and 'Semantic Relationism'
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12 ideas
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
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8078
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Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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6023
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Every proposition is either true or false [Chrysippus, by Cicero]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
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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
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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 / G. Quantification / 6. Plural Quantification
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14234
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If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
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14237
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We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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14245
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Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
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