19 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] |
| 7127 | If men are good you should keep promises, but they aren't, so you needn't [Machiavelli] |
| 7346 | Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P] |
| 6309 | The principle foundations of all states are good laws and good armies [Machiavelli] |
| 6306 | People are vengeful, so be generous to them, or destroy them [Machiavelli] |
| 6305 | To retain a conquered state, wipe out the ruling family, and preserve everything else [Machiavelli] |
| 6308 | A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli] |
| 6307 | A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli] |
| 7486 | Machiavelli emancipated politics from religion [Machiavelli, by Watson] |
| 19813 | All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli] |
| 7126 | Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli] |
| 22920 | Do I not fill heaven and earth? saith the Lord [Jeremiah] |
| 22089 | Am I a God afar off, and not a God close at hand? [Jeremiah] |