Combining Texts

All the ideas for 'Hilbert's Programme', 'Aristotelian commentaries' and 'Truth and Probability'

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7 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 / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification

16751

Unity by aggregation, order, inherence, composition, and simplicity [Conimbricense, by Pasnau]

10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals

13766

'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary

16720

Secondary qualities come from temperaments and proportions of primary qualities [Conimbricense]

14. Science / C. Induction / 6. Bayes's Theorem

19143

Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]

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]