Combining Texts

All the ideas for 'Realism in Mathematics', '67: Platonic Questions' and 'Consciousness,Represn, and Knowledge'

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8 ideas

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]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
9329 Justification is coherence with a background system; if irrefutable, it is knowledge [Lehrer]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
5960 When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
9330 Generalization seems to be more fundamental to minds than spotting similarities [Lehrer]
16. Persons / C. Self-Awareness / 1. Introspection
9328 All conscious states can be immediately known when attention is directed to them [Lehrer]