14 ideas
| 8833 | Why should we prefer coherent beliefs? [Klein,P] |
| 3338 | Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn] |
| 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] |
| 5897 | 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew] |
| 15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
| 17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
| 3534 | To be is to have causal powers [Alexander,S] |
| 8834 | Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P] |
| 8838 | If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P] |
| 8839 | Reasons acquire warrant through being part of a lengthening series [Klein,P] |
| 14494 | Epiphenomenalism is like a pointless nobleman, kept for show, but soon to be abolished [Alexander,S] |
| 3398 | Epiphenomenalism makes the mind totally pointless [Alexander,S] |