Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Iteration Again' and 'On Platonism in Mathematics'

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]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

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Very few things in set theory remain valid in intuitionist mathematics [Bernays]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

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Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

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Mathematical abstraction just goes in a different direction from logic [Bernays]

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]