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] |
5044 | Reality must be made of basic unities, which will be animated, substantial points [Leibniz] |
5045 | No machine or mere organised matter could have a unified self [Leibniz] |
5046 | The soul does know bodies, although they do not influence one another [Leibniz] |
15314 | Faraday's single field of variable forces introduces a criterion of Unity into what is ultimate [Faraday, by Harré/Madden] |
5043 | To regard animals as mere machines may be possible, but seems improbable [Leibniz] |