Combining Texts

All the ideas for 'Realism in Mathematics', 'The Reality of Numbers' and 'Metaphysical Foundations of Natural Science'

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6 ideas

3. Truth / B. Truthmakers / 1. For Truthmakers
18344 Truth and falsehood must track what does or doesn't exist [Bigelow]
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]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
15308 Science is the reduction of diverse forces and powers to a smaller number that explain them [Kant]