Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Hilbert's Programme' and 'On Plural Reference and Set Theory'

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5 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms

10670

A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]

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]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]

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]