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Single Idea 18754

[filed under theme 5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth ]

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.

Gist of Idea

Logically valid sentences are analytic truths which are just true because of their logical words

Source

Vann McGee (Logical Consequence [2014], 4)

Book Ref

'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.36


A Reaction

A helpful link between logical truths and analytic truths, which had not struck me before.


The 8 ideas from 'Logical Consequence'

Natural language includes connectives like 'because' which are not truth-functional [McGee]
Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
Validity is explained as truth in all models, because that relies on the logical terms [McGee]
An ontologically secure semantics for predicate calculus relies on sets [McGee]
Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
Second-order variables need to range over more than collections of first-order objects [McGee]
A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]