12 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] |
| 23395 | Mohists desire wealth, population and social order as the best consequences [Mozi, by Norden] |
| 23394 | If people regarded other states as they did their own, they would never attack them [Mozi] |
| 23396 | Mozi condemns partiality, which is the cause of all the great harms in the world [Mozi] |
| 23397 | Those who are against impartiality still prefer impartial protectors [Mozi] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |