20 ideas
| 8820 | Rules of reasoning precede the concept of truth, and they are what characterize it [Pollock] |
| 8819 | We need the concept of truth for defeasible reasoning [Pollock] |
| 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] |
| 8822 | Statements about necessities need not be necessarily true [Pollock] |
| 8818 | Defeasible reasoning requires us to be able to think about our thoughts [Pollock] |
| 8811 | What we want to know is - when is it all right to believe something? [Pollock] |
| 8817 | Logical entailments are not always reasons for beliefs, because they may be irrelevant [Pollock] |
| 8814 | Epistemic norms are internalised procedural rules for reasoning [Pollock] |
| 8823 | Reasons are always for beliefs, but a perceptual state is a reason without itself being a belief [Pollock] |
| 8813 | If we have to appeal explicitly to epistemic norms, that will produce an infinite regress [Pollock] |
| 8812 | Norm Externalism says norms must be internal, but their selection is partly external [Pollock] |
| 8816 | Externalists tend to take a third-person point of view of epistemology [Pollock] |
| 8815 | Belief externalism is false, because external considerations cannot be internalized for actual use [Pollock] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |