13 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] |
12468 | A state of affairs is only possible if there has been an actual substance to initiate it [Pruss] |
22808 | Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit] |
22803 | Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit] |
22804 | Autonomy is better achieved within a community [Avineri/De-Shalit] |
22806 | Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit] |
22807 | If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit] |