Combining Texts

All the ideas for 'fragments/reports', 'Hilbert's Programme' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

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]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

579	Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

578	Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]

24. Political Theory / D. Ideologies / 8. Socialism

23137

Liberty without socialism is injustice; socialism without liberty is brutality [Bakunin]

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]