display all the ideas for this combination of texts
5 ideas
19290 | Absolute necessities are necessarily necessary [Hale] |
Full Idea: I argue that any absolute necessity is necessarily necessary. | |
From: Bob Hale (Necessary Beings [2013], 05.5.2) | |
A reaction: This requires the principle of S4 modal logic, that necessity implies necessary necessity. He argues that S5 is the logical of absolute necessity. |
19286 | 'Absolute necessity' is when there is no restriction on the things which necessitate p [Hale] |
Full Idea: The strength of the claim that p is 'absolutely necessary' derives from the fact that in its expression as a universally quantified counterfactual ('everything will necessitate p'), the quantifier ranges over all propositions whatever. | |
From: Bob Hale (Necessary Beings [2013], 04.1) | |
A reaction: Other philosophers don't seem to use the term 'absolute necessity', but it seems a useful concept, in contrast to conditional or local necessities. You can't buy chocolate on the sun. |
19288 | Logical and metaphysical necessities differ in their vocabulary, and their underlying entities [Hale] |
Full Idea: The difference between logical and metaphysical necessities lies, not in the range of possibilities for which they hold, but - at the linguistic level - in the kind of vocabulary essential to their expression, and the kinds of entities that explain them. | |
From: Bob Hale (Necessary Beings [2013], 04.5) | |
A reaction: I don't think much of the idea that the difference is just linguistic, and I don't like the idea of 'entities' as grounding them. I see logical necessities as arising from natural deduction rules, and metaphysical ones coming from the nature of reality. |
19285 | Logical necessity is something which is true, no matter what else is the case [Hale] |
Full Idea: We can identify the belief that the proposition that p is logically necessary, where p may be of any logical form, with the belief that, no matter what else was the case, it would be true that p. | |
From: Bob Hale (Necessary Beings [2013], 04.1) | |
A reaction: I find this surprising. I take it that logical necessity must be the consequence of logic. That all squares have corners doesn't seem to be a matter of logic. But then he seems to expand logical necessity to include conceptual necessity. Why? |
19287 | Maybe each type of logic has its own necessity, gradually becoming broader [Hale] |
Full Idea: We can distinguish between narrower and broader kinds of logical necessity. There are, for example, the logical necessities of propostional logic, those of first-order logic, and so on. Maybe they are necessities expressed using logical vocabulary. | |
From: Bob Hale (Necessary Beings [2013], 04.5) | |
A reaction: Hale goes on to prefer a view that embraces conceptual necessities. I think in philosophy we should designate the necessities according to their sources. This might clarify a currently rather confused situation. First-order includes propositional logic. |