Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Hilbert's Programme' and 'Brain Bisection and Unity of Consciousness'

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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]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Brain bisection suggests unity of mind isn't all-or-nothing [Nagel, by Lockwood]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
We may be unable to abandon personal identity, even when split-brains have undermined it [Nagel]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]