Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'Elements of Intuitionism' and 'Aspects of the Theory of Syntax'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
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]
19. Language / C. Assigning Meanings / 1. Syntax
Chomsky's 'interpretative semantics' says syntax comes first, and is then interpreted [Chomsky, by Magidor]