Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Can there be Vague Objects?'

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10 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 / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

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Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality

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Evans argues (falsely!) that a contradiction follows from treating objects as vague [Evans, by Lowe]

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Is it coherent that reality is vague, identities can be vague, and objects can have fuzzy boundaries? [Evans]

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Evans assumes there can be vague identity statements, and that his proof cannot be right [Evans, by Lewis]

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There clearly are vague identity statements, and Evans's argument has a false conclusion [Evans, by Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

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If a=b is indeterminate, then a=/=b, and so there cannot be indeterminate identity [Evans, by Thomasson]

9. Objects / F. Identity among Objects / 6. Identity between Objects

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There can't be vague identity; a and b must differ, since a, unlike b, is only vaguely the same as b [Evans, by PG]

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]