Combining Texts

All the ideas for 'Realism in Mathematics', 'Notice of Fine's 'Limits of Abstraction'' and 'Physical Causation'

expand these ideas     |    start again     |     specify just one area for these texts

8 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]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9141 Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]
26. Natural Theory / C. Causation / 4. Naturalised causation
4787 Causation interaction is an exchange of conserved quantities, such as mass, energy or charge [Dowe, by Psillos]
14586 Physical causation consists in transference of conserved quantities [Dowe, by Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
4788 Dowe commends the Conserved Quantity theory as it avoids mention of counterfactuals [Dowe, by Psillos]