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Ideas for 'Thinking About Mathematics', 'Possibility' and 'Logicism Revisited'

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11 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
13378 It is a mistake to think that the logic developed for mathematics can clarify language and philosophy [Jubien]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10061 The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
10065 Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
8729 Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
13402 We only grasp a name if we know whether to apply it when the bearer changes [Jubien]
13405 The baptiser picks the bearer of a name, but social use decides the category [Jubien]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
13399 Examples show that ordinary proper names are not rigid designators [Jubien]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
13398 We could make a contingent description into a rigid and necessary one by adding 'actual' to it [Jubien]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
13392 Philosophers reduce complex English kind-quantifiers to the simplistic first-order quantifier [Jubien]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
10050 A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]