Combining Philosophers

Ideas for Hermarchus, Roderick Chisholm and Vann McGee

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2 ideas

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
An ontologically secure semantics for predicate calculus relies on sets [McGee]
     Full Idea: We can get a less ontologically perilous presentation of the semantics of the predicate calculus by using sets instead of concepts.
     From: Vann McGee (Logical Consequence [2014], 4)
     A reaction: The perilous versions rely on Fregean concepts, and notably Russell's 'concept that does not fall under itself'. The sets, of course, have to be ontologically secure, and so will involve the iterative conception, rather than naive set theory.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
     Full Idea: Logically valid sentences are a species of analytic sentence, being true not just in virtue of the meanings of their words, but true in virtue of the meanings of their logical words.
     From: Vann McGee (Logical Consequence [2014], 4)
     A reaction: A helpful link between logical truths and analytic truths, which had not struck me before.