Combining Texts

All the ideas for 'Realism in Mathematics', 'On Perceptions' and 'A World of Propensities'

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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]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Propensities are part of a situation, not part of the objects [Popper]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz]
14. Science / A. Basis of Science / 4. Prediction
Successful prediction shows proficiency in nature [Leibniz]