Combining Philosophers

All the ideas for Richard T.W. Arthur, Georg Kreisel and David Marshall

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6 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]
10. Modality / B. Possibility / 1. Possibility
Early modern possibility is what occurs sometime; for Leibniz, it is what is not contradictory [Arthur,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
If the present does not exist, then consciousness must be memory of the immediate past [Marshall]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
Occasionalism contradicts the Eucharist, which needs genuine changes of substance [Arthur,R]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]