Determinable-based MI is also usefully applied to the case of value indeterminacy on (some interpretations of) quantum mechanics.
A determinable-based approach to realization is subject to two main concerns (besides those generally targeting a powers-based account; see §3.5), each aiming to show that realization cannot be determination, since realization lacks some key feature of determination (see Ehring 1996; Funkhouser 2006, 2014; Walter 2007; and Worley 1997).
By way of contrast, Determinable-based MI is compatible with the Kochen-Specker theorem (and more generally, Heisenberg’s uncertainty principle), since as discussed by Bokulich (2014) and Wolff (2015), one way for a given determinable to fail to be uniquely determined is if no candidate determinate is present or instantiated, as the Kochen-Specker theorem suggests can be the case.
As Wolff goes on to note, a determinable-based account doesn’t resolve all the mysteries associated with quantum MI; on the other hand, our experiential and theoretical familiarity with determinables goes considerable distance towards rendering such MI intelligible—offering, along the way, a nice case-in-point of how determinables may be useful for purposes of illuminating the structure of natural reality.
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The first explicitly powers-based account of determination is offered by Wilson (1999), as an application of a powers-based approach to the metaphysical dependence (a.k.a.
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For example, color is a determinable having red, blue, and other specific shades of color as determinates; shape is a determinable having rectangular, oval, and other specific (including many irregular) shapes as determinates; mass is a determinable having specific mass values as determinates.
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As such, and in particular, a powers-based approach accommodates Non-disjunctive specification.
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‘Non-determinable necessities’ are those features of a determinable not allowing for variation (e.g., being three-sided, in the case of triangularity); condition (2) registers that sharing of non-determinable necessities is also required for determination, in addition to the increase in specificity associated with conditions (1) and (3), registering that determinates differ with respect to the values of one or more determination dimensions associated with the determinable.
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Worley (1997) sketches a different sort of a constitution-based account, as a way of supplementing Yablo’s (1992) asymmetrical necessitation account.
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Such a view would provide a natural way of accommodating Determinate similarity, Determinable inheritance, and other features.
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The increase in specificity associated with determinates does not involve conjoining or otherwise combining the determinable with another property independent of the determinable.
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There can be no metaphysically possible world in which an instance of a determinate can fail to be an instance of its determinable, since anything which is an instance of a determinate will be so in virtue of having certain features, which features will also be sufficient to make that object an instance of the determinable. (1997: 290)
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As French (2014) observes, while determinable instances do not entail any particular determinate instances, there is nevertheless ‘two-way’ entailment: every determinate instance entails determinable instances, and every determinable instance entails some determinate instance.
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If it turns out that we can't specify the right sort of differentia for these relations, another proposal according to which grounding is both unitary and variegated worth considering is this: grounding tout court is a determinable, and the various fine-grained grounding relations are determinates of this determinable.
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In response, a proponent of a powers-based account might try to extend the approach beyond specifically causal powers to one involving non-causal functional roles associated with, e.g., being a number (determinable), and being a prime number (determinate).
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On this approach, a determinate is more specific than its determinable (as per Increased specificity) in being associated with a more specific set of powers.
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Similarly, rest mass and rest mass of 3 kilograms are a determinable and a determinate, respectively.
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The increase in knowledge was the sole determinable gain for mankind in a devastating catastrophe.”
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Asymmetric dependence is entailed by Determinable inheritance, Requisite determination, and Multiple determinates.
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Perhaps the (instances of) properties perceived are really maximally determinate, and only perceptual features or modes of presentation are determinable; but features of perceptual experience are also aspects of reality, so the larger point remains. (2012: 5)
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