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10. Modality / A. Necessity / 1. Types of Modality

[family of modalities that includes necessity and possibility]

8 ideas
Modalities do not augment our concepts; they express their relation to cognition [Kant]
     Full Idea: The categories of modality have this peculiarity: as a determination of the object they do not augment the concept to which they are ascribed in the least, but rather express only the relation to the faculty of cognition.
     From: Immanuel Kant (Critique of Pure Reason [1781], B266/A219)
     A reaction: A nice summary of Kant's view of modality. It does not arise out of reality, or even out of the nature of our concepts, but out of the relations which our concepts enter into, in the processes of understanding. (Do I understand that?)
There are two families of modal notions, metaphysical and epistemic, of equal strength [Edgington]
     Full Idea: In my view, there are two independent families of modal notions, metaphysical and epistemic, neither stronger than the other.
     From: Dorothy Edgington (Two Kinds of Possibility [2004], Abs)
     A reaction: My immediate reaction is that epistemic necessity is not necessity at all. 'For all I know' 2 plus 2 might really be 95, and squares may also be circular.
Necessity is counterfactually implied by its negation; possibility does not counterfactually imply its negation [Williamson]
     Full Idea: Modal thinking is logically equivalent to a type of counterfactual thinking. ...The necessary is that which is counterfactually implied by its own negation; the possible is that which does not counterfactually imply its own negation.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: I really like this, because it builds modality on ordinary imaginative thinking. He says you just need to grasp counterfactuals, and also negation and absurdity, and you can then understand necessity and possibility. We can all do that.
Priority is a modality, arising from collections and members [Potter]
     Full Idea: We must conclude that priority is a modality distinct from that of time or necessity, a modality arising in some way out of the manner in which a collection is constituted from its members.
     From: Michael Potter (Set Theory and Its Philosophy [2004], 03.3)
     A reaction: He is referring to the 'iterative' view of sets, and cites Aristotle 'Metaphysics' 1019a1-4 as background.
Maybe modal thought is unavoidable, as a priori recognition of necessary truth-preservation in reasoning [Hale/Hoffmann,A]
     Full Idea: There are 'transcendental' arguments saying that modal thought is unavoidable - recognition, a priori, of the necessarily truth-preserving character of some forms of inference is a precondition for rational thought in general, and scientific theorizing.
     From: Bob Hale/ Aviv Hoffmann (Introduction to 'Modality' [2010], 1)
     A reaction: So the debate about the status of logical truths and valid inference, are partly debates about whether out thought has to involve modality, or whether it could just be about the actual world. I take possibilities and necssities to be features of nature.
Dispositionality has its own distinctive type of modality [Mumford/Anjum]
     Full Idea: We contend that dispositionality involves a non-alethic, sui generis, irreducible modality.
     From: S.Mumford/R.Lill Anjum (Dispositional Modality [2011], 1)
     A reaction: This is a lovely bold proposal, and seems to be supported by Werner Heisenberg, in Idea 17534.
Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum]
     Full Idea: We think dispositionality is the core modality from which the other two standard modal operators draw their sense as being limiting cases on a spectrum. ...This gives a very this-worldly account of possibility and necessity.
     From: S.Mumford/R.Lill Anjum (Getting Causes from Powers [2011], 8.5)
     A reaction: I'm strongly in favour of this-worldly accounts of modal truths, so I like this. They take dispositions to hover somewhere between what is barely possible and what is absolutely necessary. But is modality actually part of the physical world?
Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum]
     Full Idea: Dispositionality could be what gives us the idea of there being modality in the first place: that what is might not be, and what is not could be.
     From: S.Mumford/R.Lill Anjum (Getting Causes from Powers [2011], 8.5)
     A reaction: Compare Williamson's suggestion that counterfactual thinking is the source of such things, which is a similar thought. I take it to be exactly correct.