Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'Elements of Intuitionism (2nd ed)' and 'Of liberty, Fate and God's grace'

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7 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett]
5. Theory of Logic / G. Quantification / 1. Quantification
Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
The complete concept of an individual includes contingent properties, as well as necessary ones [Leibniz]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]