Combining Texts

All the ideas for 'fragments/reports', 'Nominalism' and 'The Philosophy of Logic'

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8 ideas

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 / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]

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]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]

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]