Combining Texts

All the ideas for 'Disquisitions', 'Hilbert's Programme' and 'The Quest for Certainty'

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

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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]

8. Modes of Existence / B. Properties / 8. Properties as Modes

16668

Modes of things exist in some way, without being full-blown substances [Gassendi]

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

21516

We want certainty in order achieve secure results for action [Dewey]

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]