Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'Necessary Beings' and 'Aristotle on Matter'

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5 ideas

10. Modality / A. Necessity / 3. Types of Necessity
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.
'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.
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.
10. Modality / A. Necessity / 6. Logical Necessity
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?
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.