Metaphysical indeterminacy in the context of quantum mechanics is often motivated by the eigenstate-eigenvalue link. However, the sparse view of Glick illustrates why it has no such implications. Other links connecting quantum states and property ascriptions—such as those associated with the GRW theory—may introduce indeterminacy, but such indeterminacy may be viewed as merely representational and is susceptible to familiar treatments of vagueness. Thus, I contend that such links fail to provide a compelling motivation for quantum metaphysical indeterminacy.

ABSTRACT Many phenomena appear to be indeterminate, including material macro-object boundaries and certain open future claims. Here I provide an account of indeterminacy in metaphysical, rather than semantic or epistemic, terms. Previous accounts of metaphysical indeterminacy have typically taken this to involve its being indeterminate which of various determinate states of affairs obtain. On my alternative account, MI involves its being determinate that an indeterminate state of affairs obtains. I more specifically suggest that MI involves an object's having a determinable (...) property, but not having any unique determinate of that determinable. I motivate the needed extension of the traditional understanding of determinables, then argue that a determinable-based account of MI accommodates, in illuminating fashion, both ‘glutty’ and ‘gappy’ cases of MI, while satisfactorily treating concerns about MI stemming from Evans’ argument and the problem of the many. (shrink)

An influential theory has it that metaphysical indeterminacy occurs just when reality can be made completely precise in multiple ways. That characterization is formulated by employing the modal apparatus of ersatz possible worlds. As quantum physics taught us, reality cannot be made completely precise. I meet the challenge by providing an alternative theory which preserves the use of ersatz worlds but rejects the precisificational view of metaphysical indeterminacy. The upshot of the proposed theory is that it is metaphysically indeterminate whether (...) p just in case it is neither true nor false that p, and no terms in ‘p’ are semantically defective. In other words, metaphysical indeterminacy arises when the world cannot be adequately described by a complete set of sentences defined in a semantically nondefective language. Moreover, the present theory provides a reductive analysis of metaphysical indeterminacy, unlike its influential predecessor. Finally, I argue that any adequate logic of a language with an indeterminate subject matter is neither compositional nor bivalent. (shrink)

It is truism that accuracy is valued. Some deem accuracy to be among the most fundamental values, perhaps the preeminent value, of inquiry. Because of this, accuracy has been the focus of two different, important programs in epistemology. The truthlikeness program pursued the notion of propositional accuracy—an ordering of propositions by closeness to the objective truth of some matter. The epistemic utility program pursued the notion of credal state accuracy—an ordering of credal states by closeness to the ideal credal state. (...) It may be tempting to think that each question that informs an inquiry must be  determinate of necessity. That is to say, there must be one correct, precise answer to it. That precise, correct answer is not only the maximally accurate answer to the question, but it also singles out the ideal credal state that is the epistemic target of the inquiry. An enormous amount of the effort has been focused on accuracy with respect to necessarily determinate questions. But often the focus of an inquiry is a question that is not necessarily determinate. Those who deem accuracy to be cognitively valuable, and fundamentally so, need an account of accuracy for indeterminate questions. Ideally such an account would cover both propositional accuracy and credal state accuracy. This is a tall order, and it is not clear that the order can be filled. (shrink)

One well-known objection to supersubstantivalism is that it is inconsistent with the contingency of location. This paper presents a new objection to supersubstantivalism: it is inconsistent with the vagueness of location. Though contingency and vagueness are formally similar, there are important philosophical differences between the two. As a result, the objection from vague location will be structurally different than the objection from contingent location. The paper explores these differences and then defends the argument that supersubstantivalism is inconsistent with the plausible (...) thesis that it is vague where I am located. (shrink)

A number of analytical philosophers have recently endorsed the view that the world itself is indeterminate in some respect. Intriguingly, ideas similar to the view are expressed by thinkers from Chinese Madhyamaka Buddhism, which may shed light on the current discussion of worldly indeterminacy. Using as a basis Chinese Madhyamaka thought, together with Jessica Wilson’s account of indeterminacy, I develop an ontological conception of indeterminacy, termed ontic indeterminacy, which centres on two complementary ideas—conclusive indeterminability and provisional determinability. I show that (...) OI is well-equipped to tackle several issues of worldly indeterminacy. My overarching aim is to present a viable and sustainable perspective on the subject of indeterminacy to enrich analytical philosophers’ insights into the intricate nature of reality. (shrink)

Especially over the past twenty years, a number of analytic philosophers have embraced the idea that the world itself is vague or indeterminate in one or more respects. The issue then arises as to whether it can be the case that the world itself is indeterminate in all respects. Using as a basis Chinese Madhyamaka Buddhist thought, I offer two reasons for the coherence and intelligibility of the thesis that all concrete things are themselves indeterminate with respect to the ways (...) they are. The first reason draws on a notion reminiscent of the picture of reality as an amorphous lump, while the second reason makes use of the relativity of conceptual perspectives and determinations. Assuming that the world is the mere totality of all concrete things, I show that there is a genuine metaphysical possibility of the world’s being indeterminate in all respects. (shrink)

I argue there are some objects which do not respect the Law of the Excluded Middle, i.e., which are such that, for some property F, the disjunction Fo v ~Fo fails to be true. I call such objects “odd objects” and present three examples—fictional objects, nonsort objects, and quantum objects. I argue that each of these objects is best understood as violating LEM. I, then, discuss Jessica Wilson’s account of metaphysical indeterminacy. I show how the indeterminacy which arises with odd (...) objects can be accounted for on Wilson’s account. I, then, argue that my Wilson-inspired, but non-LEM-respecting, account of metaphysical indeterminacy is superior to Wilson’s in terms of costs and benefits. (shrink)

A world where there exists n concrete things is a count-determinate world. The orthodox view is count-determinacy is necessary; if to be is to be the value of a variable and the domain of quantification is enumerable, count-determinacy follows. Yet I argue how many there are can be indeterminate; count-indeterminacy is metaphysically possible and even likely actual. Notably, my argument includes rebuttals of Evans’ reductio of indeterminate identity and the Lewis/Sider ‘argument from vagueness’. Count-indeterminacy should therefore be recognized as another (...) basic form of genuine metaphysical indeterminacy, in addition to types recently defend by Barnes, Williams, and Wilson. (shrink)

A growing literature is premised on the claim that quantum mechanics provides evidence for metaphysical indeterminacy. But does it? None of the currently fashionable realist interpretations involve fundamental indeterminacy and the ‘standard interpretation’, to the extent that it can be made out, doesn't require indeterminacy either.

Monists say that the nature of truth is invariant, whichever sentence you consider; pluralists say that the nature of truth varies between different sets of sentences. The orthodoxy is that logic and logical form favour monism: there must be a single property that is preserved in any valid inference; and any truth-functional complex must be true in the same way as its components. The orthodoxy, I argue, is mistaken. Logic and logical form impose only structural constraints on a metaphysics of (...) truth. Monistic theories are not guaranteed to satisfy these constraints, and there is a pluralistic theory that does so. (shrink)

This paper constructs a model of metaphysical indeterminacy that can accommodate a kind of ‘deep’ worldly indeterminacy that arguably arises in quantum mechanics via the Kochen-Specker theorem, and that is incompatible with prominent theories of metaphysical indeterminacy such as that in Barnes and Williams (2011). We construct a variant of Barnes and Williams's theory that avoids this problem. Our version builds on situation semantics and uses incomplete, local situations rather than possible worlds to build a model. We evaluate the resulting (...) theory and contrast it with similar alternatives, concluding that our model successfully captures deep indeterminacy. (shrink)

One of the most important objections to sense data theory comes from the phenomenon of indeterminate perception, as when an object in the periphery of one’s visual field looks red without looking to have any determinate shade of red. As sense data are supposed to have precisely the properties that sensibly appear to us, sense data theory evidently has the implausible consequence that a sense datum can have a determinable property without having any of its determinates. In this article, I (...) show that a parallel objection applies to standard forms of colour relationism. In light of the phenomenon of indeterminate perception, the colour relationist must either reject intuitively obvious claims about the determinate–determinable structure of colour space or reject the plausible and widely accepted principle that nothing can have a determinable without having one of its determinates. (shrink)

On many currently live interpretations, quantum mechanics violates the classical supposition of value definiteness, according to which the properties of a given particle or system have precise values at all times. Here we consider whether either metaphysical supervaluationist or determinable-based approaches to metaphysical indeterminacy can accommodate quantum metaphysical indeterminacy (QMI). We start by discussing the standard theoretical indicator of QMI, and distinguishing three seemingly different sources of QMI (S1). We then show that previous arguments for the conclusion that metaphysical supervaluationism (...) cannot accommodate QMI, due to Darby 2010 and Skow 2010, are unsuccessful, in leaving open several supervaluationist responses. We go on to provide more comprehensive argumentation for the negative conclusion. Here, among other results, we establish that the problems for supervaluationism extend far beyond the concern that is the focus of Darby's and Skow's discussions (according to which a supervaluationist approach is incompatible with the orthodox interpretation, in light of the Kochen-Specker theorem) to also attach to common understandings of other interpretations on which there is QMI (S2). We then argue that a determinable-based account can successfully accommodate all three varieties of QMI (S3). We close by observing the positive mutual bearing of our results on the coherence and intelligibility of both quantum mechanics and metaphysical indeterminacy (S4). (shrink)

According to the Determinable Based Account of metaphysical indeterminacy, there is MI when there is an indeterminate state of affairs, roughly a state of affairs in which a constituent object x has a determinable property but fails to have a unique determinate of that determinable. There are different ways in which x might have a determinable but no unique determinate: x has no determinate—gappy MI, or x has more than one determinate—glutty MI. Talk of determinables and determinates is usually constructed (...) as relative to levels of determination. In this paper I first provide a formal construction for determinables and determinates that pays crucial attention to intermediate levels of determination, and then explore the consequences for the DBA of introducing such intermediate levels. In particular, I argue that intermediate levels of determination highlight crucial differences between gappy and glutty cases of MI, and allow one to introduce a third way of indeterminacy, glappy MI. (shrink)

Discussions about determinables and determinates, on the one hand, and discussions about (formal) theories of location, on the other, have thus far proceeded without any visible interaction, in substantive mutual neglect. This paper aims to remedy this situation of neglect. It explicitly relates (theories of) determinables and (theories of) location. First, I argue that some well known principles of location turn out to be instances of principles relating determinables and determinates. Building on this I then argue that theories of location (...) present formidable counterexamples to those principles about determinables and determinates. One such counterexample in particular is used as an argument against disjunctivism. Finally, I relate the entire discussion to yet another crucial debate in metaphysics, that of metaphysical indeterminacy. (shrink)

This paper focuses on Jessica Wilson’s determinable-based account of metaphysical indeterminacy and its relationship to the concept of vague identity. The determinable-based account comprises a distinction between meta-level and object-level accounts of metaphysical indeterminacy. I first argue that the distinction cannot be clearly applied to some theories. In particular, I argue that even though Wilson categorizes the constitution account of metaphysical indeterminacy as a meta-level account, from one perspective it can be defensibly regarded as an object-level account, because it is (...) bound to posit genuinely indeterminate states of affairs and provides an explanation of boundary indeterminacy that is structurally analogous to the explanation provided by Wilson’s object-level account. This interim conclusion is important, because it has been argued that the constitution account, when applied to some more complex types of boundary indeterminacy, cannot avoid commitment to vague identity, in spite of the declarations of some of its proponents. The ultimate goal of this paper is to argue that, contrary to Wilson’s claims, the determinable-based account must embrace vague identity too. (shrink)

Some claim that the notion of strong emergence as involving ontological or causal novelty makes no sense, on grounds that any purportedly strongly emergent features or associated powers 'collapse', one way or another, into the lower-level base features upon which they depend. Here we argue that there are several independently motivated and defensible means of preventing the collapse of strongly emergent features or powers into their lower-level bases, as directed against a conception of strongly emergent features as having fundamentally novel (...) powers. After introducing the project (Section 1), we motivate and present the powers-based account (Section 2); we then canvass the two main versions of the collapse objection, show how these apply to the powers-based account, and problematize certain strategies of response (Section 3); we then present and defend four better strategies of response (Section 4). (shrink)

Dispositional Essentialism and Ontic Structural Realism aim to account for modality. Dispositional Essentialism takes properties to account for laws. In particular, it takes determinate properties to account for laws of nature, which are determinable. Ontic Structural Realism does the reverse. According to Steven French, Ontic Structural Realism takes laws and symmetries to be part of the fundamental structure of the world. Determinate properties are “dependent” on laws. The core difference between Dispositional Essentialism and Ontic Structural Realism’s accounts of modality is (...) the direction of the dependence between properties and laws. As a result, French describes Ontic Structural Realism as a reverse-engineering of Dispositional Essentialism, and Chakravartty differentiates them by saying that Dispositional Essentialism gives a bottom-up account of modality whereas Ontic Structural Realism’s is top-down. Both views face significant problems. The main problems these views face stem from relational individuation. Properties are individuated by their relations to further properties. As such, it is hard to see how they can be metaphysically prior to those relations as per Dispositional Essentialism. Equally, laws are relations between properties. As such, it is hard to see how they could be metaphysically prior to the properties they relate as per Ontic Structural Realism. Both properties and laws seem dependent on each other. By requiring one to come first and explain the other, dispositional essentialists and ontic structural realists end up in a chicken-egg scenario. I propose a hybrid between Dispositional Essentialism and Ontic Structural Realism. My hybrid view does away with the dogma of ontological priority between properties and laws. Instead, properties and laws symmetrically depend. I argue that my hybrid view is the way out of the chicken-egg-property-law conundrum. It paves a new way for making sense of modality from a structuralist perspective. (shrink)