Combining Texts

All the ideas for 'Realism in Mathematics', 'Reply to Second Objections' and 'Moral Arguments'

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

9 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]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
3622 The Cogito is not a syllogism but a self-evident intuition [Descartes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
22375 Moral judgements need more than the relevant facts, if the same facts lead to 'x is good' and 'x is bad' [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
22378 We can't affirm a duty without saying why it matters if it is not performed [Foot]
22377 Whether someone is rude is judged by agreed criteria, so the facts dictate the value [Foot]
22376 Facts and values are connected if we cannot choose what counts as evidence of rightness [Foot]