20 ideas
| 18365 | If truths are just identical with facts, then truths will make themselves true [David] |
| 18362 | Examples show that truth-making is just non-symmetric, not asymmetric [David] |
| 18360 | It is assumed that a proposition is necessarily true if its truth-maker exists [David] |
| 18358 | Two different propositions can have the same fact as truth-maker [David] |
| 18355 | What matters is truth-making (not truth-makers) [David] |
| 18354 | Correspondence is symmetric, while truth-making is taken to be asymmetric [David] |
| 18356 | Correspondence is an over-ambitious attempt to explain truth-making [David] |
| 18363 | Correspondence theorists see facts as the only truth-makers [David] |
| 18364 | Correspondence theory likes ideal languages, that reveal the structure of propositions [David] |
| 18359 | One proposition can be made true by many different facts [David] |
| 18357 | What makes a disjunction true is simpler than the disjunctive fact it names [David] |
| 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] |
| 18361 | A reflexive relation entails that the relation can't be asymmetric [David] |
| 2975 | That honey is sweet I do not affirm, but I agree that it appears so [Timon] |