Combining Texts

All the ideas for 'fragments/reports', 'Cours d'Analyse' and 'The philosophical basis of intuitionist logic'

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8 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

18073

Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]

5. Theory of Logic / G. Quantification / 1. Quantification

19057

Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions

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]

19. Language / A. Nature of Meaning / 6. Meaning as Use

19054

Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]