Combining Texts

All the ideas for 'works', 'On the Elements of Being: I' and 'Hilbert's Programme'

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7 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC]
A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC]
A world is completely constituted by its tropes and their connections [Williams,DC]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]