14 ideas
| 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] |
| 12066 | Aristotelian and Kripkean essentialism are very different theories [Witt] |
| 12067 | An Aristotelian essence is a nonlinguistic correlate of the definition [Witt] |
| 12082 | If unity is a matter of degree, then essence may also be a matter of degree [Witt] |
| 12089 | Essences mainly explain the existence of unified substance [Witt] |
| 12102 | Essential properties of origin are too radically individual for an Aristotelian essence [Witt] |
| 20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |
| 12085 | Reality is directional [Witt] |