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Full Idea
Dummett argues that classical logic depends on the choice of the concept of truth as central to the theory of meaning, while for the intuitionist the concept of assertability occupies this position.
Gist of Idea
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability
Source
report of Michael Dummett (The philosophical basis of intuitionist logic [1973]) by Philip Kitcher - The Nature of Mathematical Knowledge 06.5
Book Ref
Kitcher,Philip: 'The Nature of Mathematical Knowledge' [OUP 1984], p.142
A Reaction
Since I can assert any nonsense I choose, this presumably means 'warranted' assertability, which is tied to the concept of proof in mathematics. You can reason about falsehoods, or about uninterpreted variables. Can you 'assert' 'Fx'?
Related Idea
Idea 18074 Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
18073 | Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher] |
19054 | Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett] |
19055 | Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett] |
19056 | If a sentence is effectively undecidable, we can never know its truth conditions [Dummett] |
19057 | Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett] |