Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Hilbert's Programme' and 'Scientific Explanation'

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5 ideas

2. Reason / F. Fallacies / 4. Circularity
One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]