In Calosi and Wilson (Phil Studies 2019/2018), we argue that on many interpretations of quantum mechanics (QM), there is quantum mechanical indeterminacy (QMI), and that a determinable-based account of metaphysical indeterminacy (MI), as per Wilson 2013 and 2016, properly accommodates the full range of cases of QMI. Here we argue that this approach is superior to other treatments of QMI on offer, both realistic and deflationary, in providing the basis for an intelligible explanation of the interference patterns in (...) the double-slit experiment. We start with a brief overview of the motivations for QMI and for a determinable-based account of MI (§1). We then apply a developed 'glutty' implementation of determinable-based QMI to the superposition-based QMI present in the double-slit experiment, and positively compare the associated explanation of double-slit interference with that available on a metaphysical supervaluationist account of QMI (§2). We then present and respond to objections, due to Glick (2017) and Torza (2017), either to QMI (§3) or to our specific account of QMI (§4); in these sections we also positively compare our treatment of double-slit interference to that available on Glick's deflationary treatment of QMI. We conclude with some dialectical observations (§5). (shrink)

One might suppose that Everettian quantum mechanics (EQM) is inhospitable to metaphysial indeterminacy (MI), given that, as A. Wilson (2020) puts it, "the central idea of EQM is to replace indeterminacy with multiplicity" (77). But as Wilson goes on to suggest, the popular decoherence-based understanding of EQM (henceforth: DEQM) appears to admit of indeterminacy in both world number and world nature, where the latter indeterminacy---our focus here---is plausibly metaphysical. After a brief presentation of DEQM (S1), we (...) bolster the case for there being MI in world nature in DEQM (S2). The remainder of the paper is devoted to a comparative assessment of the two main approaches to MI for purposes of accommodating this MI---namely, a metaphysical supervaluationist approach (as per Barnes and Williams 2011) and a determinable-based approach (as per Wilson 2013 and Calosi and Wilson 2018 and 2021). We briefly describe each approach (S3), then offer arguments in favour of a determinable-based approach to world nature MI in DEQM (S4). (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)

This paper explores quantum indeterminacy, as it is operative in the failure of value‐definiteness for quantum observables. It first addresses questions about its existence, its nature, and its relations to extant quantum interpretations. Then, it provides a critical discussions of the main accounts of quantum indeterminacy.

In this book I examine various forms of indeterminacy in the law and scrutinize (i.a. by way of game theoretical models) the conditions under which they can be strategically used. In particular, I analyze the advantages and disadvantages of indeterminacy in the wording of laws, contracts, and verdicts. Legal texts are particularly interesting insofar as they address a heterogeneous audience, are applied in a variety of unforeseeable circumstances and must, at the same time, lay down clear and unambiguous (...) standards. I argue for the claim that semantic vagueness is less relevant than commonly supposed in the debate, while other forms of indeterminacy (in particular, polysemy and standard-relativity) are underrated or altogether ignored. This misconception is, as I argue, due to a systematic confusion between semantic vagueness and these forms of indeterminacy. Once it is resolved, the value of indeterminacy can be clearly shown. (shrink)

This paper defends the idea that there might be vagueness or indeterminacy in the world itself--as opposed to merely in our representations of the world--against the charges of incoherence and unintelligibility. First we consider the idea that the world might contain vague properties and relations ; we show that this idea is already implied by certain well-understood views concerning the semantics of vague predicates (most notably the fuzzy view). Next we consider the idea that the world might contain vague (...) objects ; we argue that an object is indeterminate in a certain respect (colour, size, etc.) just in case it is a borderline case of a maximally specific colour (size, etc.) property. Finally we consider the idea that the world as a whole might be indeterminate; we argue that the world is indeterminate just in case it lacks a determinate division into determinate objects. (shrink)

Suppose you’re certain that a claim—say, ‘Frida is tall’—does not have a determinate truth value. What attitude should you take towards it? This is the question of the cognitive role of indeterminacy. This paper presents a puzzle for theories of cognitive role. Many of these theories vindicate a seemingly plausible principle: if you are fully certain that A, you are rationally required to be fully certain that A is determinate. Call this principle ‘Certainty’. We show that Certainty, in combination (...) with some minimal side premises, entails a very implausible claim: whenever you’re certain that it’s indeterminate whether A, it is rationally required that you reject A. This is a surprising result, which requires abandoning at least some intuitive views about indeterminacy and cognitive role. (shrink)

Indeterminacy in its various forms has been the focus of a great deal of philosophical attention in recent years. Much of this discussion has focused on the status of vague predicates such as ‘tall’, ‘bald’, and ‘heap’. It is determinately the case that a seven-foot person is tall and that a five-foot person is not tall. However, it seems difficult to pick out any determinate height at which someone becomes tall. How best to account for this phenomenon is, of (...) course, a controversial matter. For example, some (such as Sorensen (2001) and Williamson (2002)) maintain that there is a precise height at which someone becomes tall and such apparent cases of indeterminacy merely reflects our ignorance of this fact. Others maintain that there is some genuine – and not merely epistemic – indeterminacy present is such cases and offer various accounts of how best to account for it. Supervaluationists (such as Keefe (2008)), for example, claim that the indeterminacy with respect to vague terms lies in their not having a single definite extension. Rather, each term is associated with a range of possible precise extensions or precisifications such that it is semantically unsettled which is the correct extension. One precisification of ‘tall’ might allow that anyone over five feet ten inches is tall, whereas another would only allow those over six foot to qualify; but no precisification will take someone who is five foot to be tall, and someone who is seven foot will count as tall on all precisifications. Thus – while someone who is seven foot will be determinately tall and someone who is five foot determinately not so – it will be indeterminate whether someone who stands at five foot eleven inches is tall. -/- Yet, it is important to stress that putative cases of indeterminacy are not limited to vague predicates of this kind. Philosophers have invoked indeterminacy in discussions of topics as diverse as moral responsibility (Bernstein (forthcoming)), identity over time (Williams (2014)), and the status of the future (Barnes and Cameron (2009)). In this paper, we focus on two areas where discussion of various kinds of indeterminacy has been commonplace: physics and fiction. We propose a new model for understanding indeterminacy across these domains and argue that it has some notable advantages when compared to earlier accounts. Treating physics and fiction cases univocally also indicates an interesting connection between indeterminacy in these two areas. (shrink)

The Indeterminacy of Translation and Radical Interpretation The indeterminacy of translation is the thesis that translation, meaning, and reference are all indeterminate: there are always alternative translations of a sentence and a term, and nothing objective in the world can decide which translation is the right one. This is a skeptical conclusion because what it … Continue reading The Indeterminacy of Translation and Radical Interpretation →.

In this article, I argue that the small-improvement argument fails since some of the comparisons involved in the argument might be indeterminate. I defend this view from two objections by Ruth Chang, namely the argument from phenomenology and the argument from perplexity. There are some other objections to the small-improvement argument that also hinge on claims about indeterminacy. John Broome argues that alleged cases of value incomparability are merely examples of indeterminacy in the betterness relation. The main premise (...) of his argument is the much-discussed collapsing principle. I offer a new counterexample to this principle and argue that Broome's defence of the principle is not cogent. On the other hand, Nicolas Espinoza argues that the small-improvement argument fails as a result of the mere possibility of evaluative indeterminacy. I argue that his objection is unsuccessful. (shrink)

It has frequently been suggested that quantum mechanics may provide a genuine case of ontic vagueness or metaphysical indeterminacy. However, discussions of quantum theory in the vagueness literature are often cursory and, as I shall argue, have in some respects been misguided. Hitherto much of the debate over ontic vagueness and quantum theory has centered on the “indeterminate identity” construal of ontic vagueness, and whether the quantum phenomenon of entanglement produces particles whose identity is indeterminate. I argue that this (...) way of framing the debate is mistaken. A more thorough examination of quantum theory and the phenomenon of entanglement reveals that quantum mechanics is best interpreted as supporting what I call the “vague property” construal of ontic vagueness, where vague properties are understood in terms of determinable properties without the corresponding determinates. (shrink)

From Aristotle’s puzzle about the indeterminacy of future contingents to Duhem and Quine’s observations about the underdetermination of theory by evidence, the concepts of indeterminacy and underdetermination have been a recurrent theme in philosophy. As well as a continued interest in classic problems, recent years have seen new applications of these notions in various research contexts. This Topical Collection showcases recent work on indeterminacy and underdetermination from diverse branches of philosophy, including philosophy of language, logic, philosophy of (...) mathematics, metaphysics, ethics, metaethics, epistemology, philosophy of science, and philosophy of computation. The collection aims to highlight the similarities and differences between the many manifestations of these phenomena so that insights and conceptual tools developed in each philosophical sub-discipline can stimulate research in the others. (shrink)

Suppose that you're certain that a certain sentence, e.g. "Frida is tall", lacks a determinate truth value. What cognitive attitude should you take towards it—reject it, suspend judgment, or what else? We show that, by adopting a seemingly plausible principle connecting credence in A and Determinately A, we can prove a very implausible answer to this question: i.e., all indeterminate claims should be assigned credence zero. The result is striking similar to so-called triviality results in the literature on modals and (...) conditionals. (shrink)

I identify three aspects to the puzzle of the speckled hen: A general puzzle, an epistemic puzzle, and a puzzle for the representationalist. These puzzles rely on an underlying “pictorialist” assumption, that we visually perceive general, determinable properties only in virtue of determinate properties or more specific, local features of our visual experience. This assumption is mistaken: Visual perception frequently starts from a position of uncertainty, and is routinely able to acquire information about general properties in the absence of more (...) specific information. Acknowledging that visual indeterminacy is structured this way resolves all three puzzles of the speckled hen. (shrink)

In simple action theory, when people choose between courses of action, they know what the outcome will be. When an individual is making a choice "against nature," such as switching on a light, that assumption may hold true. But in strategic interaction outcomes, indeterminacy is pervasive and often intractable. Whether one is choosing for oneself or making a choice about a policy matter, it is usually possible only to make a guess about the outcome, one based on anticipating what (...) other actors will do. In this book Russell Hardin asserts, in his characteristically clear and uncompromising prose, "Indeterminacy in contexts of strategic interaction... Is an issue that is constantly swept under the rug because it is often disruptive to pristine social theory. But the theory is fake: the indeterminacy is real."In the course of the book, Hardin thus outlines the various ways in which theorists from Hobbes to Rawls have gone wrong in denying or ignoring indeterminacy, and suggests how social theories would be enhanced--and how certain problems could be resolved effectively or successfully--if they assumed from the beginning that indeterminacy was the normal state of affairs, not the exception. Representing a bold challenge to widely held theoretical assumptions and habits of thought, Indeterminacy and Society will be debated across a range of fields including politics, law, philosophy, economics, and business management. (shrink)

You may not know me well enough to evaluate me in terms of my moral character, but I take it you believe I can be evaluated: it sounds strange to say that I am indeterminate, neither good nor bad nor intermediate. Yet I argue that the claim that most people are indeterminate is the conclusion of a sound argument—the indeterminacy paradox—with two premises: (1) most people are fragmented (they would behave deplorably in many and admirably in many other situations); (...) (2) fragmentation entails indeterminacy. I support (1) by examining psychological experiments in which most participants behave deplorably (e.g., by maltreating “prisoners” in a simulated prison) or admirably (e.g., by intervening in a simulated theft). I support (2) by arguing that, according to certain plausible conceptions, character evaluations presuppose behavioral consistency (lack of fragmentation). Possible reactions to the paradox include: (a) denying that the experiments are relevant to character; (b) upholding conceptions according to which character evaluations do not presuppose consistency; (c) granting that most people are indeterminate and explaining why it appears otherwise. I defend (c) against (a) and (b). (shrink)

This paper discusses and relates two puzzles for indicative conditionals: a puzzle about indeterminacy and a puzzle about triviality. Both puzzles arise because of Ramsey's Observation, which states that the probability of a conditional is equal to the conditional probability of its consequent given its antecedent. The puzzle of indeterminacy is the problem of reconciling this fact about conditionals with the fact that they seem to lack truth values at worlds where their antecedents are false. The puzzle of (...) triviality is the problem of reconciling Ramsey's Observation with various triviality proofs which establish that Ramsey's Observation cannot hold in full generality. In the paper, I argue for a solution to the indeterminacy puzzle and then apply the resulting theory to the triviality puzzle. On the theory I defend, the truth conditions of indicative conditionals are highly context dependent and such that an indicative conditional may be indeterminate in truth value at each possible world throughout some region of logical space and yet still have a nonzero probability throughout that region. (shrink)

Barnes (2014) has argued in this journal for the following conditional: If there is any metaphysical indeterminacy, this must be at the most fundamental level of reality. To argue for this claim, Barnes relies on two principles that I shall call bivalent completeness and determinate link. According to the former, a complete description is a bivalent assignment of truth values to every sentence. The determinate link, instead, establishes that the determination relation between levels of reality preserves determinacy from one (...) level to another. In response to Barnes’ conclusion, Eva (2018) has recently pointed out that bivalent completeness is question begging. In this paper, I will first show why Eva's line of reasoning can be resisted. My aim will then be to present a stronger case against Barnes’ argument by challenging the determinate link. In the presence of metaphysical indeterminacy, the link between fundamental and derivative facts might itself be the locus of indeterminacy. I will conclude by showing that Barnes and Eva make many unwarranted assumptions regarding both indeterminacy and fundamentality. The logical space around the connection between these two notions appears to be much wider than what they seem to be aware of, or so I will argue. (shrink)

This paper contains a discussion of Quine's thesis of indeterminacy of translation within the more general thesis that using and understanding a language are to be conceived of as a creative and interpretative-constructional activity. Indeterminacy is considered to be ineliminable. Three scenarios are distinguished concerning, first, the reasons for indeterminacy, second, the kinds of indeterminacy and, third, different levels of a general notion of recursive interpretation. Translational hypotheses are seen as interpretational constructs. The indeterminacy thesis (...) turns out to be a consequence of the externalizing of language, meaning, and epistemology. By means of a three-leveled interpretation model one can substantiate the crucial aspects, first, that indeterminacy is not an indeterminacy of facts of the matter and, second, that there is a significant difference between indeterminacy and underdetermination. In addition, the relationship between indeterminacy, interpretation, and charity is elucidated. Indeterminacy is seen not as an obstacle to but as a condition for communication. Charity and empathy in dialogue are conditional upon indeterminacy. All three components reveal the interpretative-constructional character of the inseparable connection of meaning and experience. (shrink)

Do the dynamics of a physical system determine what function the system computes? Except in special cases, the answer is no: it is often indeterminate what function a given physical system computes. Accordingly, care should be taken when the question ‘What does a particular neuronal system do?’ is answered by hypothesising that the system computes a particular function. The phenomenon of the indeterminacy of computation has important implications for the development of computational explanations of biological systems. Additionally, the phenomenon (...) lends some support to the idea that a single neuronal structure may perform multiple cognitive functions, each subserved by a different computation. We provide an overarching conceptual framework in order to further the philosophical debate on the nature of computational indeterminacy and computational explanation. (shrink)

According to the Counterfactual Comparative Account of harm and benefit, an event is overall harmful for a subject to the extent that this subject would have been better off if it had not occurred. In this paper we present a challenge for the Counterfactual Comparative Account. We argue that if physical processes are chancy in the manner suggested by our best physical theories, then CCA faces a dilemma: If it is developed in line with the standard approach to counterfactuals, then (...) it delivers that the value of any event for a subject is indeterminate to the extreme, ranging from terribly harmful to highly beneficial. This problem can only be avoided by developing CCA in line with theories of counterfactuals that allow us to ignore a-typical scenarios. Doing this generates a different problem: when the actual world is itself a-typical we will sometimes get the result that the counterfactual nonoccurrence of an actual benefit is itself a benefit. An account of overall harm bearing either of these two implications is deficient. Given the general aspiration to account for deprivational harms and the dominance of the Counterfactual Comparative Account in this respect, theorists of harm and benefit face a deadlock. (shrink)

The principle of need—the idea that resources should be allocated according to need—is often invoked in priority setting in the health care sector. In this article, I argue that a reasonable principle of need must be indeterminate, and examine three different ways that this can be dealt with: appendicizing the principle with further principles, imposing determinacy, or empowering decision makers. I argue that need must be conceptualized as a composite property composed of at least two factors: health shortfall and capacity (...) to benefit. When one examines how the different factors relate to each other, one discovers that this is sometimes indeterminate. I illustrate this indeterminacy in this article by applying the small improvement argument. If the relation between the factors are always determinate, the comparative relation changes by a small adjustment. Yet, if two needs are dissimilar but of seemingly equal magnitude, the comparative relation does not change by a small adjustment of one of the factors. I then outline arguments in favor of each of the three strategies for dealing with indeterminacy, but also point out that all strategies have significant shortcomings. More research is needed concerning how to deal with this indeterminacy, and the most promising path seems to be to scrutinize the position of the principle of need among a plurality of relevant principles for priority setting in the health care sector. (shrink)

This paper defends the idea that there might be vagueness or indeterminacy in the world itself---as opposed to merely in our representations of the world---against the charges of incoherence and unintelligibility. First we consider the idea that the world might contain vague *properties and relations*; we show that this idea is already implied by certain well-understood views concerning the semantics of vague predicates (most notably the fuzzy view). Next we consider the idea that the world might contain vague *objects*; (...) we argue that an object is indeterminate in a certain respect (colour, size, etc.) just in case it is a borderline case of a maximally specific colour (size, etc.) property. Finally we consider the idea that the *world as a whole* might be indeterminate; we argue that the world is indeterminate just in case it lacks a determinate division into determinate objects. (shrink)

In this paper I argue that Gareth Evans’ famous proof of the impossibility of de re indeterminate identity fails on a counterpart-theoretic interpretation of the determinacy operators. I attempt to motivate a counterpart-theoretic reading of the determinacy operators and then show that, understood counterpart-theoretically, Evans’ argument is straightforwardly invalid.

Formal thinking about certainty/uncertainty gained greater focus in scientific domains with the advent of particle physics and quantum mechanics. Concern with the exact predictability of events under guidance from scientific determinism led to speculation, then acknowledgement of quantum indeterminacy. But distinctions were made between what is physically indeterminate out there and what is indeterminable by human observation or in human action--over here, on the inside, right now. The implications of these insights into indeterminacy and indeterminabilities for practical and (...) theoretical knowledge span physics, philosophy, ontology, causality, and the philosophy of mind. In this book, contributors from a range of disciplines consider the concept of indeterminacy and a few varieties of indeterminability, with attention to the distinctions between the two phenomena, appropriate approaches for examining both, and the differences vis-à-vis uncertainty, vagueness, and ambiguity. (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)

Can quantum theory provide examples of metaphysical indeterminacy, indeterminacy that obtains in the world itself, independently of how one represents the world in language or thought? We provide a positive answer assuming just one constraint of orthodox quantum theory: the eigenstate-eigenvalue link. Our account adds a modal condition to preclude spurious indeterminacy in the presence of superselection sectors. No other extant account of metaphysical indeterminacy in quantum theory meets these demands.

For Sengzhao (374−414 CE), a leading Sanlun philosopher of Chinese Buddhism, things in the world are ontologically indeterminate in that they are devoid of any determinate form or nature. In his view, we should understand and use words provisionally, so that they are not taken to connote the determinacy of their referents. To echo the notion of ontic indeterminacy and indicate the provisionality of language, his main work, the Zhaolun, abounds in paradoxical expressions. In this essay, I offer a (...) philosophical analysis and rational reconstruction of Sengzhao’s linguistic thought, with a view to exploring the rationale for and purpose of his use of paradoxical language. (shrink)

This paper defends the idea that there might be vagueness or indeterminacy in the world itself---as opposed to merely in our representations of the world---against the charges of incoherence and unintelligibility. First we consider the idea that the world might contain vague *properties and relations*; we show that this idea is already implied by certain well-understood views concerning the semantics of vague predicates (most notably the fuzzy view). Next we consider the idea that the world might contain vague *objects*; (...) we argue that an object is indeterminate in a certain respect (colour, size, etc.) just in case it is a borderline case of a maximally specific colour (size, etc.) property. Finally we consider the idea that the *world as a whole* might be indeterminate; we argue that the world is indeterminate just in case it lacks a determinate division into determinate objects. (shrink)

The threat of ontological deflationism (the view that disagreement about what there is can be non‐substantive) is averted by appealing to realism about fundamental structure—or so tells us Ted Sider. In this paper, the notion of structural indeterminacy is introduced as a particular case of metaphysical indeterminacy; then it is argued that structural indeterminacy is not only compatible with a metaphysics of fundamental structure, but it can even safeguard it from a crucial objection; finally, it is shown (...) that, if there are instances of structural indeterminacy, a hitherto unacknowledged variety of ontological deflationism will arise. Unless structure is shown to be determinate, ontological deflationism remains a live option. Furthermore, I will consider whether structural indeterminacy could be challenged by adopting a naturalistic epistemology of structure; the question is answered in the negative on the basis of a formal result concerning theory choice. Finally, I submit a new way of articulating the epistemology of structure, which hinges on the very possibility of structural indeterminacy. (shrink)

Birchley9s critique of the harm threshold for overriding parental decisions is successful in demonstrating that the harm threshold, like the best interests standard, suffers from the problem of indeterminacy. However, his focus on critiquing empirical rather than normative arguments for the harm threshold means that his broad conclusion that it is ‘ill-judged’ is not justified. Advocates of the harm threshold can accept that the concept of harm to a child is indeterminate, yet still invoke strong normative arguments for this (...) way of responding to parental decisions that conflict with medical recommendations. I suggest that Birchley9s discussion, rather than showing that the harm threshold is mistaken, instead highlights the importance of developing a comprehensive account of children9s interests, for proponents of a best interests approach and for advocates of the harm threshold. (shrink)

Computational physical systems may exhibit indeterminacy of computation (IC). Their identified physical dynamics may not suffice to select a unique computational profile. We consider this phenomenon from the point of view of cognitive science and examine how computational profiles of cognitive systems are identified and justified in practice, in the light of IC. To that end, we look at the literature on the underdetermination of theory by evidence and argue that the same devices that can be successfully employed to (...) confirm physical hypotheses can also be used to rationally single out computational profiles, notwithstanding IC. (shrink)

Terence Parsons, Peter Woodruff; X*—Worldly Indeterminacy of Identity, Proceedings of the Aristotelian Society, Volume 95, Issue 1, 1 June 1995, Pages 171–192.

This paper examines two puzzles of indeterminacy. The first puzzle concerns the hypothesis that there is a unified phenomenon of indeterminacy. How are we to reconcile this with the apparent diversity of reactions that indeterminacy prompts? The second puzzle focuses narrowly on borderline cases of vague predicates. How are we to account for the lack of theoretical consensus about what the proper reaction to borderline cases is? I suggest (building on work by Maudlin) that the characteristic feature (...) of indeterminacy is alethic normative silence, and use this to explain both plurality and lack of consensus. (shrink)

Continuing the investigation in his earlier Individuals and individuality, Martine (philosophy, U. of Alabama) demonstrates that indeterminacy in our experience is logically bound to the determinate dimensions of thought and practice.

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)

Indeterminacy is metaphysical (or worldly) if it has its source in the way the world is (rather than how it is represented or known). There are two questions we could ask about indeterminacy. First: does it exist? Second: is indeterminacy derivative? I focus on the second question. Specifically, I argue that (at least some) metaphysical indeterminacy can be derivative, where this roughly means that facts about indeterminacy are metaphysically grounded in facts about what is determinate.

We describe a case of indeterminacy in general relativity for homogeneous and isotropic cosmologies for a class of dark energy fluids. The cosmologies are parametrized by an equation of state variable, with one instance giving the same solution as Norton’s mechanical dome. Our example goes beyond previously studied cases in that indeterminacy lies in the evolution of spacetime itself: the onset of the Big Bang is indeterminate. We show further that the indeterminacy is resolved if the dynamics (...) is viewed relationally. (shrink)

Jerry Fodor has charged that Fred Dretske's account of content suffers from indeterminacy to the extent that we should reject it in favor of Fodor‘s own account. In this paper, we ask what the problem of indeterminacy really is; we distinguish a relatively minor problem we call ‘looseness of fit’ from a major problem of failing to show how to point to what is not there. We sketch Dretske's account of content and how it is supposed to solve (...) the major problem. After presenting Fodor's challenge as the claim that Dretske has failed to solve the major problem, we articulate a response available to Dretske. Although we do not think the response is ultimately successful, we argue that it is every bit as good as the response Fodor has offered to a similar challenge, in his so-called ‘mixed theory.’ The upshot is this: despite advertisements to the contrary, Fodor's theory, in its mixed version, offers no real advantages over Dretske's regarding the serious problem of indeterminacy. (shrink)

This article explores the notions of indeterminacy and creation in Castoriadis’ work. The notions of indeterminacy and creation are initially associated with Castoriadis’ conception of Being as Chaos contradicted with what Castoriadis calls “ensemblistic-identitary logic”. The conception of Being as Chaos is then linked with the notion of otherness analyzed as creation ex nihilo. In particular, creation ex nihilo is analyzed in the context of Castoriadis division of Being’s multiplicity into difference and otherness. I will argue that Being’s (...) multiplicity as difference refers to the “ensemblistic-identitary logic” while otherness comes up with a novel form of Being identified as ex nihilo creation. Finally, otherness is approached through Castoriadis’ conception of time whereby otherness and, consequently, time is further associated with Castoriadis’ notion of imaginary as the latter deploys in the social-historical field of mankind through the imaginary significations of society. (shrink)

Cases of grounding failure present a puzzle for fundamental metaphysics. Typically, solutions are thought to lie either in adding ontology such as haecceities or in re‐describing the cases by means of the ideology of metaphysical indeterminacy. The controversial status of haecceities has led some to favour metaphysical indeterminacy as the way to solve the puzzle. We consider two further treatments of grounding failure each of which, we argue, is a more plausible alternative. As such, the initial dichotomy is (...) a false one, and these alternative options deserve consideration before resorting to the heavyweight machinery of metaphysical indeterminacy. -/- . (shrink)

In ‘Fair Infinite Lotteries’ (FIL), Wenmackers and Horsten use non-standard analysis to construct a family of nicely-behaved hyperrational-valued probability measures on sets of natural numbers. Each probability measure in FIL is determined by a free ultrafilter on the natural numbers: distinct free ultrafilters determine distinct probability measures. The authors reply to a worry about a consequent ‘arbitrariness’ by remarking, “A different choice of free ultrafilter produces a different ... probability function with the same standard part but infinitesimal differences.” They illustrate (...) this remark with the example of the sets of odd and even numbers. Depending on the ultrafilter, either each of these sets has probability 1/2, or the set of odd numbers has a probability infinitesimally higher than 1/2 and the set of even numbers infinitesimally lower. The point of the current paper is simply that the amount of indeterminacy is much greater than acknowledged in FIL: there are sets of natural numbers whose probability is far more indeterminate than that of the set of odd or the set of even numbers. (shrink)

Moral indeterminacy can be problematic: prospectively it can give rise to deliberative anguish, and retrospectively, it can leave us in a limbo as to what attitudes it is appropriate to form with respect to past actions with indeterminate moral status. These problems give us reason to resolve ethical indeterminacy. One mechanism for doing so involves the use of our normative powers to place obligations on ourselves and to waive our claims against others. This mechanism could operate through an (...) explicit agreement, but could also operate through implicit endorsement of a social convention. However, there are important limits on when the mechanism can eliminate moral indeterminacy. (shrink)

To an ordinary translator, the idea that there are too many perfect translation schemes between any two languages would come as a surprise. Quine's thesis of the indeterminacy of translation expresses just this idea. It implies that most of the 'implicit canons' actual translators use in their assessment of translations lack objective status. My dissertation is an attempt to present a systematic challenge to Quine's view of language and to support the idea that one could develop an objective theory (...) of translation which is also faithful to actual translation practices. ;I expose a non-superficial similarity between external-world scepticism and Quine's meaning-scepticism, and deploy against Quine an objection which closely resembles his own objection to external-world scepticism. I then develop a new interpretation of Quine's reasoning, according to which denying objective status to intuitive 'meanings' is Quine's way of avoiding a sceptical problem about what other people 'really' mean. ;I argue that the intelligibility of Quine's meaning-scepticism turns on an implicit contrast between the perspective of the theorist of language and the perspective of the user of language. Quine's defense of his scepticism features a theorist of language trying to probe an alien language-- a 'radical translator' -- who reasons that her own judgments as a language user lack objective status. ;I take issue with the use Quine makes of the above contrast. I first argue that understanding the goal of radical translators requires knowing what is to be expected of an adequate translation scheme. Since this is something we learn from experience with existing translation schemes, I offer a pre-theoretic description of the practice of translation between known languages. I show how ordinary translators' assessments of the quality of given translations derive from systematic judgments they make as language-users. It is these sorts of judgments that guide actual radical translators in ruling out bizarre alternative translations of the kind Quine entertains in defending his scepticism. A proper theoretical account of radical translation, I conclude, must begin with-- and include-- the perspective of the radical translator as a language-user. (shrink)

Significant issues remain for understanding and evaluating the Quinean critique of the analytic/synthetic distinction. These issues are highlighted in a puzzling mismatch between the common philosophical attitude toward the critique and its broader intellectual legacy. A discussion of this mismatch sets the larger context for criticism of a recent tradition of interpretation of the critique. I argue that this tradition confuses the roles and relative importance of indeterminacy, a priority, and analyticity in the Quinean critique.

The ‘no-difference problem’ challenges us to explain in which way the occurrence of an aggregate effect gives us reason to act in a specific way, although our individual actions make no difference to the effect’s occurrence. When discussing this problem, philosophers usually distinguish between so-called ‘triggering cases’, where the aggregate effect in question is brought about upon reaching a precise threshold, and ‘non-triggering cases’, in which no such precise threshold exists. However, despite their relevant differences, it is widely assumed not (...) only that both categories of cases confront us with the same moral problem, but also that this problem should be solved in the same way no matter which category we are considering. In this paper, I argue that this assumption is mistaken by showing that non-triggering cases pose very different moral problems than triggering cases unless very specific and, arguably, unlikely assumptions in neighbouring debates about causation and decision-making under indeterminacy hold. (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)