Combining Texts

All the ideas for 'The Birth of Tragedy', 'Primary Truths' and 'Hilbert's Programme'

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


5 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
An a priori proof is independent of experience [Leibniz]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]