Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'Hilbert's Programme' and 'Of the standard of taste'

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7 ideas

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]
13. Knowledge Criteria / C. External Justification / 7. Testimony
The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Forget about beauty; just concentrate on the virtues of delicacy and discernment admired in critics [Hume, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Strong sense, delicate sentiment, practice, comparisons, and lack of prejudice, are all needed for good taste [Hume]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]