13 ideas
| 10928 | Maybe we can quantify modally if the objects are intensional, but it seems unlikely [Quine] |
| 3340 | Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn] |
| 3355 | Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA] |
| 10925 | Failure of substitutivity shows that a personal name is not purely referential [Quine] |
| 10926 | Quantifying into referentially opaque contexts often produces nonsense [Quine] |
| 22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
| 10930 | Quantification into modal contexts requires objects to have an essence [Quine] |
| 14645 | To be necessarily greater than 7 is not a trait of 7, but depends on how 7 is referred to [Quine] |
| 9201 | Whether 9 is necessarily greater than 7 depends on how '9' is described [Quine, by Fine,K] |
| 10927 | Necessity only applies to objects if they are distinctively specified [Quine] |
| 9203 | We can't quantify in modal contexts, because the modality depends on descriptions, not objects [Quine, by Fine,K] |
| 21994 | The handmill gives feudalism, the steam mill capitalism [Marx] |
| 10931 | We can't say 'necessarily if x is in water then x dissolves' if we can't quantify modally [Quine] |