Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'Hilbert's Programme' and 'The Sense of Reality'

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6 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas

7460	The great moments are the death of Aristotle, Machiavelli, and Romanticism [Berlin, by Watson]

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]

13. Knowledge Criteria / C. External Justification / 7. Testimony

7458	The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]

16. Persons / F. Free Will / 6. Determinism / a. Determinism

3441	If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]

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]