Combining Texts

All the ideas for 'Realism in Mathematics', 'Letters to Lelong' and 'The Nature and Communication of Substance'

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7 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
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
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
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
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Maybe mind and body are parallel, like two good clocks [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Force in substance makes state follow state, and ensures the very existence of substance [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
If the universe is a perfect agreement of uncommunicating substances, there must be a common source [Leibniz]