Combining Philosophers

All the ideas for Paul M. Pietroski, Georg Kreisel and William Whewell

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5 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]

14. Science / D. Explanation / 2. Types of Explanation / d. Consilience

20643

Consilience is a common groundwork of explanation [Whewell]

19. Language / B. Reference / 5. Speaker's Reference

21650

No language is semantically referential; it all occurs at the level of thought or utterance [Pietroski, by Hofweber]

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]