Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Iteration Again' and 'On the Foundations of Logic and Arithmetic'

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

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5 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 / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

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The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]

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

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Logic already contains some arithmetic, so the two must be developed together [Hilbert]

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]