Combining Texts

All the ideas for 'Realism in Mathematics', 'Natural Theology' and 'works'

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

10 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]
16. Persons / F. Free Will / 1. Nature of Free Will
3447 All theory is against free will, and all experience is in favour of it [Johnson,S]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
21275 Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley]
21276 From the obvious purpose and structure of a watch we must infer that it was designed [Paley]
21277 Even an imperfect machine can exhibit obvious design [Paley]
21278 All the signs of design found in a watch are also found in nature [Paley]
21357 No organ shows purpose more obviously than the eyelid [Paley]