Combining Texts

All the ideas for 'Hilbert's Programme', 'Rules for the Direction of the Mind' and 'fragments/reports'

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

---

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]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9807	In pursuing truth, anything less certain than mathematics is a waste of time [Descartes]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances

1497	For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius]

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]