17 ideas
| 3338 | Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn] |
| 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] |
| 5897 | 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew] |
| 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] |
| 10467 | Individuals consist of 'compresent' tropes [Bacon,John] |
| 10464 | A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John] |
| 10465 | Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John] |
| 10466 | Maybe possible worlds are just sets of possible tropes [Bacon,John] |
| 17771 | How we evaluate evidence depends on our background beliefs [Bayne] |
| 17770 | Clifford's dictum seems to block our beliefs in morality, politics and philosophy [Bayne] |
| 17766 | Physicalism correlates brain and mind, explains causation by thought, and makes nature continuous [Bayne] |
| 17768 | Perception reveals what animals think, but humans can disengage thought from perception [Bayne] |
| 17769 | Some people centre space on themselves; others centre space on the earth [Bayne] |
| 17767 | The alternative to a language of thought is map-like or diagram-like thought [Bayne] |