Combining Philosophers
Ideas for Hermarchus, Fred Sommers and Alan Musgrave
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8 ideas
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10061
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The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
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10065
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Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
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5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
18897
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Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18893
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Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
18903
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Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
18894
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Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10049
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Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
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10050
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A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
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