Combining Texts

All the ideas for 'Reasons for Actions and Desires', 'Hilbert's Programme' and 'German Philosophy: a very short introduction'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17809

Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

22049

Transcendental idealism aims to explain objectivity through subjectivity [Bowie]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism

22055

The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]

22054

German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]

22056

Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]

20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism

22393

I don't understand the idea of a reason for acting, but it is probably the agent's interests or desires [Foot]

27. Natural Reality / C. Space / 3. Points in Space

17811

The natural conception of points ducks the problem of naming or constructing each point [Kreisel]