Combining Texts

All the ideas for 'fragments/reports', 'The philosophical basis of intuitionist logic' and 'Letters to Frege'

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11 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]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

13365

Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]

10711

Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]

8. Modes of Existence / B. Properties / 11. Properties as Sets

9127	Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]

18. Thought / C. Content / 6. Broad Content

7531	We don't assert private thoughts; the objects are part of what we assert [Russell]

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]

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]