19 ideas
| 5437 | The claim of hermeneutics to give knowledge through understanding is challenged by positivism [Mautner on Dilthey] |
| 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] |
| 8439 | Maybe each event has only one possible causal history [Bennett] |
| 8440 | Maybe an event's time of occurrence is essential to it [Bennett] |
| 8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
| 5436 | Natural science seeks explanation; human sciences seek understanding [Dilthey, by Mautner] |
| 8441 | Delaying a fire doesn't cause it, but hastening it might [Bennett] |
| 8436 | Either cause and effect are subsumed under a conditional because of properties, or it is counterfactual [Bennett] |
| 8435 | Causes are between events ('the explosion') or between facts/states of affairs ('a bomb dropped') [Bennett] |
| 10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |
| 8437 | The full counterfactual story asserts a series of events, because counterfactuals are not transitive [Bennett] |
| 8438 | A counterfactual about an event implies something about the event's essence [Bennett] |
| 8592 | Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker] |