8 ideas
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
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] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |