Combining Texts

All the ideas for 'Hilbert's Programme', 'Preface to 'De Revolutionibus'' and 'Explanations in reply to Mr Bradley'

expand these ideas     |    start again     |     specify just one area for these texts

---

5 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly

23025

Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell]

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 / e. Lawlike explanations

15282

Facts should be deducible from the theory and initial conditions, and prefer the simpler theory [Osiander, by Harré/Madden]

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]