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] |
| 8845 | An experience's having propositional content doesn't make it a belief [Pryor] |
| 8842 | The best argument for immediate justification is not the Regress Argument, but considering examples [Pryor] |
| 8843 | Impure coherentists accept that perceptions can justify, unlike pure coherentists [Pryor] |
| 8844 | Coherentism rests on the claim that justifications must be beliefs, with propositional content [Pryor] |
| 8846 | Reasons for beliefs can be cited to others, unlike a raw headache experience [Pryor] |
| 8847 | Beliefs are not chosen, but you can seek ways to influence your belief [Pryor] |
| 20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |