Combining Texts

All the ideas for 'Why coherence is not enough', 'Hilbert's Programme' and 'Abduction and Induction'

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7 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]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
There are five possible responses to the problem of infinite regress in justification [Cleve]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
'Abduction' is beginning a hypothesis, particularly if it includes preference of one explanation over others [Peirce]
Abduction involves original suggestions, and not just the testing involved in induction [Peirce]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]