Combining Texts

All the ideas for 'Hippias Major', 'Hilbert's Programme' and 'Two treatises'

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8 ideas

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]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity is the capacity to be divided [Digby]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
What is fine is always difficult [Plato]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
What is fine is the parent of goodness [Plato]
25. Social Practice / F. Life Issues / 5. Sexual Morality
While sex is very pleasant, it should be in secret, as it looks contemptible [Plato]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Colours arise from the rarity, density and mixture of matter [Digby]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]