Combining Texts

All the ideas for 'poems', 'Principles of Arithmetic, by a new method' and 'Free Will Defence'

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

8 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
6017 Nomos is king [Pindar]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
1474 Moral evil may be acceptable to God because it allows free will (even though we don't see why this is necessary) [Plantinga, by PG]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
1475 It is logically possible that natural evil like earthquakes is caused by Satan [Plantinga, by PG]