8 ideas
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] |
15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
22481 | There is no restitution after a dilemma, if it only involved the agent, or just needed an explanation [Foot, by PG] |
22482 | I can't understand how someone can be necessarily wrong whatever he does [Foot] |