Combining Texts

All the ideas for 'Letters to Remond de Montmort', 'Wang's Paradox' and 'Realism in Mathematics'

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9 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]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
21628 To say reality itself is vague is not properly intelligible [Dummett]
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
12732 Some necessary truths are brute, and others derive from final causes [Leibniz]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
19438 Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
19415 Passions reside in confused perceptions [Leibniz]
28. God / A. Divine Nature / 2. Divine Nature
19439 God produces possibilities, and thus ideas [Leibniz]