Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Iteration Again' and 'Hilbert's Programme'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

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Metaphysics is the most general attempt to make sense of things [Moore,AW]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

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Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter]

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

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

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

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

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

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Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]

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

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