Combining Texts

All the ideas for 'Hilbert's Programme', 'The Evolution of Modern Metaphysics' and 'Abduction and Induction'

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
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]