10 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] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
8967 | Not all predicates can be properties - 'is non-self-exemplifying', for example [Lowe] |
8965 | Neither mere matter nor pure form can individuate a sphere, so it must be a combination [Lowe] |
9382 | Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge] |
8968 | If the flagpole causally explains the shadow, the shadow cannot explain the flagpole [Lowe] |
8966 | Properties are facets of objects, only discussable separately by an act of abstraction [Lowe] |