Combining Texts

All the ideas for 'fragments/reports', 'Nominalism' and 'Realism in Mathematics'

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9 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]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755 Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718 A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756 Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733 We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
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]