Combining Texts

All the ideas for 'fragments/reports', 'Nominalism' and 'The Theory of Transfinite Numbers'

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7 ideas

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]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets

8956	What is a singleton set, if a set is meant to be a collection of objects? [Szabó]

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

15896

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

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

8953	Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]

15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind

8954	Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]

18. Thought / E. Abstraction / 5. Abstracta by Negation

8955	Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]

23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue

467	A virtue is a combination of intelligence, strength and luck [Ion]