Combining Texts

All the ideas for 'Hilbert's Programme', 'Frege's Theory of Numbers' and 'The Method of Truth in Metaphysics'

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


6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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]
16. Persons / A. Concept of a Person / 1. Existence of Persons
Metaphysics requires the idea of people (speakers) located in space and time [Davidson]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Sentences held true determine the meanings of the words they contain [Davidson]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]