Combining Texts

All the ideas for 'Realism in Mathematics', 'Letters to Voetius' and 'De Legibus Naturae'

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

11 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
6222 If a decision is in accord with right reason, everyone can agree with it [Cumberland]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
6217 Natural law is supplied to the human mind by reality and human nature [Cumberland]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
6221 If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
6218 The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland]
6220 The happiness of all contains the happiness of each, and promotes it [Cumberland]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
6216 Natural law is immutable truth giving moral truths and duties independent of society [Cumberland]
28. God / C. Attitudes to God / 5. Atheism
16712 Atheism is an atrocious and intolerable crime in any country [Descartes]