Combining Texts

All the ideas for 'Realism in Mathematics', 'The Inference to the Best Explanation' and 'Of Human Freedom'

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8 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]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Being is only perceptible to itself as becoming [Schelling]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Best Explanation is the core notion of epistemology [Harman, by Smart]
16. Persons / F. Free Will / 2. Sources of Free Will
Only idealism has given us the genuine concept of freedom [Schelling]