8 ideas
15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
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] |
15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
21971 | Transcendental philosophy is the subject becoming the originator of unified reality [Kant] |