Combining Texts

All the ideas for 'Ethical Studies', 'The philosophical basis of intuitionist logic' and 'Hilbert's Programme'

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9 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 / a. The Infinite

17809

Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

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]

22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness

5655	Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]

27. Natural Reality / C. Space / 3. Points in Space

17811

The natural conception of points ducks the problem of naming or constructing each point [Kreisel]