Vagueness as Indeterminacy. I defend the traditional view that a vague term is one with an indeterminate denotation from a bevy of recent challenges.

On the dominant view of vagueness, if it is vague whether Harry is bald, then all the specific facts about the distribution of hair on Harry's head, together with all the facts about Harry's comparison class, together with all the facts about our community-wide use of the word ‘bald’, fail to settle whether Harry is bald. On the dominant view, if it is vague whether Harry is bald, then nothing settles whether Harry is bald—it is unsettled, not merely epistemically, (...) but metaphysically, whether Harry is bald. Call this view vagueness-as-indeterminacy. Vagueness-as-indeterminacy entails the following proposition: that clear vagueness as to whether Harry is bald clearly does not entail that Harry is bald. I argue against this proposition, and thus against vagueness-as-indeterminacy. My argument consists of a defence of the following rival proposition: that it is vague whether clear vagueness as to whether Harry is bald entails that Harry is bald. The argument itself is short. Most of the paper is devoted to responding to various objections to the argument, as well as attempting to explain away the initial appeal of the proposition that clear vagueness as to whether Harry is bald clearly does not entail that Harry is bald. (shrink)

I can say that a building is tall and you can understand me, even if neither of us has any clear idea exactly how tall a building must be in order to count as tall. This mundane fact poses a problem for the view that successful communication consists in the hearer’s recognition of the proposition a speaker intends to assert. The problem cannot be solved by the epistemicist’s usual appeal to anti-individualism, because the extensions of vague words like ‘tall’ are (...) contextually fluid and can be constrained significantly by speakers’ intentions. The problem can be seen as a special case of a more general problem concerning what King has called “felicitous underspecification.” Traditional theories of vagueness offer nothing that can help with this problem. Appeals to diagonalization do not help either. A more radical solution is needed. (shrink)

The topic of this paper is whether there is metaphysical vagueness. It is shown that it is important to distinguish between the general phenomenon of indeterminacy and the more narrow phenomenon of vagueness (the phenomenon that paradigmatically rears its head in sorites reasoning). Relatedly, it is important to distinguish between metaphysical indeterminacy and metaphysical vagueness. One can wish to allow metaphysical indeterminacy but rule out metaphysical vagueness. As is discussed in the paper, central (...) argument against metaphysical vagueness, like those of Gareth Evans and Mark Sainsbury, would if successful rule out metaphysical indeterminacy. One way to argue specifically against the possibility of metaphysical vagueness might be thought to be to argue for a specific theory of the nature of vagueness according to which vagueness is a semantic phenomenon. But it is shown that there are complications also pertaining to arguments with that structure. Toward the end of the paper, I discuss Trenton Merricks’ well-known argument against a semantic view on vagueness and for a metaphysical view. (shrink)

My theme here will be vagueness. But first recall Quine’s arguments for the indeterminacy of translation and the inscrutability of reference. (I will presume these arguments to be familiar.) If Quine is right, then there are radically different acceptable assignments of semantic values to the expressions of any language: different assignments of semantic values that for all that is determined by whatever it is that determines semantic value are all acceptable, and all equally good. Quine even argued that (...) the indeterminacy is so radical that some sentences are true under some acceptable assignments but false under others.1 Still, Quine does not allow intermediate truth-values or truthvalue gaps. (As I will put it, avoiding the disjunctive formulation: does not allow that there are sentences which are neuter.) Quine holds on to classical logic and bivalence and requires each acceptable assignment to be classical and bivalent.2. (shrink)

If we think, as Ramsey did, that a degree of belief that P is a stronger or weaker tendency to act as if P, then it is clear that not only uncertainty, but also vagueness, gives rise to degrees of belief. If I like hot coffee and do not know whether the coffee is hot or cold, I will have some tendency to reach for a cup; if I like hot coffee and know that the coffee is borderline hot, (...) I will have some tendency to reach for a cup. Suppose that we take degrees of belief arising from uncertainty to obey the laws of probability and that we model vagueness using degrees of truth. We then encounter a problem: it does not look as though degrees of belief arising from vagueness should obey the laws of probability. One response would be to countenance two different sorts of degrees of belief: degrees of belief arising from uncertainty, which obey the laws of probability; and degrees of belief arising from vagueness, which obey a different set of laws. I argue, however, that if a degree of belief that P is a stronger or weaker tendency to act as if P, then this option is not open. Instead, I propose an account of the behaviour of degrees of belief that integrates subjective probabilities and degrees of truth. On this account, degrees of belief are expectations of degrees of truth. The account explains why degrees of belief behave in accordance with the laws of probability in cases involving only uncertainty, while also allowing degrees of belief to behave differently in cases involving only vagueness, and in mixed cases involving both uncertainty and vagueness. Justifications of the account are given both via Dutch books and in terms of epistemic accuracy. (shrink)

The paper defends Gareth Evan's argument against vague identity "de re" from a criticism that quantum mechanics provides actual counter-examples to its validity. A more general version of Evans's argument is stated in which identity involving properties are not essential and it is claimed that the scientific facts as so far known are consistent with the Evansian thesis that indeterminacy in truth-value must always be due to semantic indecision.

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)

This lecture presents my own solution to the problem posed in Lecture I. Instead of a new theory of speech acts, it offers a new theory of the contents expressed by vague assertions, along the lines of the plan expressivism Allan Gibbard has advocated for normative language. On this view, the mental states we express in uttering vague sentences have a dual direction of fit: they jointly constrain the doxastic possibilities we recognize and our practical plans about how to draw (...) boundaries. With this story in hand, I reconsider some of the traditional topics connected with vagueness: bivalence, the sorites paradox, higher-order vagueness, and the nature of vague thought. I conclude by arguing that the expressivist account can explain, as its rivals cannot, what makes vague language useful. (shrink)

This chapter discusses the defence of metaphysical indeterminacy by Elizabeth Barnes and Robert Williams and discusses a classical and bivalent theory of such indeterminacy. Even if metaphysical indeterminacy arguably is intelligible, Barnes and Williams argue in favour of it being so and this faces important problems. As for classical logic and bivalence, the chapter problematizes what exactly is at issue in this debate. Can reality not be adequately described using different languages, some classical and some not? Moreover, (...) it is argued that the classical and bivalent theory of Barnes and Williams does not avoid the problems that arise for rival theories. (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)

I propose a view that I call "Ersatz Metaphysical Vagueness" according to which the term "perfectly natural" can be semantically vague. As its name suggests, the view mimics traditional metaphysical vagueness without the radical metaphysical underpinnings. In particular, the ersatzer avoids a widely accepted argument schema (advanced by JRG Williams, Ted Sider, Cian Dorr, John Hawthorne and others) according to which, if there is no metaphysical vagueness, F-ness cannot be both perfectly natural and vague.

In VAGUENESS AND DEGREES OF TRUTH, Nicholas Smith develops a new theory of vagueness: fuzzy plurivaluationism. -/- A predicate is said to be VAGUE if there is no sharply defined boundary between the things to which it applies and the things to which it does not apply. For example, 'heavy' is vague in a way that 'weighs over 20 kilograms' is not. A great many predicates -- both in everyday talk, and in a wide array of theoretical vocabularies, (...) from law to psychology to engineering -- are vague. -/- Smith argues, based on a detailed account of the defining features of vagueness, that an accurate theory of vagueness must involve the idea that truth comes in degrees. The core idea of degrees of truth is that while some sentences are true and some are false, others possess intermediate truth values: they are truer than the false sentences, but not as true as the true ones. Degree-theoretic treatments of vagueness have been proposed in the past, but all have encountered significant objections. In light of these, Smith develops a new type of degree theory. Its innovations include a definition of logical consequence that allows the derivation of a classical consequence relation from the degree-theoretic semantics, a unified account of degrees of belief and their relationships with degrees of truth and subjective probabilities, and the incorporation of semantic indeterminacy -- the view that vague statements need not have unique meanings -- into the degree-theoretic framework. -/- As well as being essential reading for those working on vagueness, Smith's book provides an excellent entry-point for newcomers to the area -- both from elsewhere in philosophy, and from computer science, logic and engineering. It contains a thorough introduction to existing theories of vagueness and to the requisite logical background. (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)

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)

The thesis that there can be vague objects is the thesis that there can be identity statements which are indeterminate in truth-value (i.e., neither true nor false) as a result of vagueness (as opposed, e.g., to reference-failure), "the singular terms of which do not have their references fixed by vague descriptive means". (if this is "not" what is meant by the thesis that there can be vague objects, it is not clear what "is" meant by it.) the possibility of (...) vague objects should not be taken, in itself, to imply the more radical thesis that the identity relation can be one of "degree". one can hold that the concept of degrees of identity is absurd (how can one thing be more or less identical to another?) "and" that indeterminacy in identity is possible; hence, any incoherence in the idea of degrees of identity does not thereby undermine the idea of indeterminate identity. (shrink)

In this dissertation, I argue that vagueness is a metaphysical phenomenon---that properties and objects can be vague---and propose a trivalent theory of vagueness meant to account for the vagueness in the world. In the first half, I argue against the theories that preserve classical logic. These theories include epistemicism, contextualism, and semantic nihilism. My objections to these theories are independent of considerations of the possibility that vagueness is a metaphysical phenomenon. However, I also argue that these (...) theories are not capable of accommodating metaphysical vagueness. As I move into my positive theory, I first argue for the possibility of metaphysical vagueness and respond to objections that charge that the world cannot be vague. One of these objections is Gareth Evans' much-disputed argument that vague identities are impossible. I then describe what I call the logic of states of affairs. The logic of states of affairs has as its atomic elements states of affairs that can obtain, unobtain, or be indeterminate. Finally, I argue that the logic of states of affairs is a better choice for a theory of vagueness than other logics that could accommodate metaphysical vagueness such as supervaluationism and degree theories. Preference should be given to the logic of states of affairs because it provides a better explanation of higher-order vagueness and does a better job of matching our ordinary understandings of logical operators than supervaluationism does and because it provides a more general account of indeterminacy than the account given by degree theories. Advisor: Reina Hayaki. (shrink)

Ben-Yami presents Wittgenstein’s explicit criticism of the Platonic identification of an explanation with a definition and the alternative forms of explanation he employed. He then discusses a few predecessors of Wittgenstein’s criticisms and the Fregean background against which he wrote. Next, the idea of family resemblance is introduced, and objections answered. Wittgenstein’s endorsement of vagueness and the indeterminacy of sense are presented, as well as the open texture of concepts. Common misunderstandings are addressed along the way. Wittgenstein’s ideas, (...) as is then shown, have far-reaching implications for knowledge of meaning and the nature of logic, and with them to the nature of the philosophical project and its possible achievements. (shrink)

This chapter focuses on two clusters of questions concerning existence. The first cluster concerns the scope of existence, examining how wide the domain of existing things is and whether it encompass absolutely everything. The second cluster concerns vagueness and indeterminacy, explaining whether vague things and vague categories of things are there or all vagueness is a matter of referring indifferently to a large number of absolutely precise things and showing the ultimate source of vagueness. There are (...) two theories of vagueness, epistemic and metaphysical. The chapter focuses on Meinongian definitions of 'existence' and examines four arguments in favor of Anti‐Actualism. The first and second respectively appeals to common sense and the need for intentional objects, that is, objects of certain mental attitudes. The third appeals to the need for fictional and illusory entities. And the fourth appeals to the need for non‐existent things as constituents of certain merely possible situations. (shrink)

Vague expressions are omnipresent in natural language. As such, their use in legal texts is virtually inevitable. If a law contains vague terms, the question whether it applies to a particular case often lacks a clear answer. One of the fundamental pillars of the rule of law is legal certainty. The determinacy of the law enables people to use it as a guide and places judges in the position to decide impartially. Vagueness poses a threat to these ideals. In (...) borderline cases, the law seems to be indeterminate and thus incapable of serving its core rule of law value. -/- In the philosophy of language, vagueness has become one of the hottest topics of the last two decades. Linguists and philosophers have investigated what distinguishes "soritical " vagueness from other kinds of linguistic indeterminacy, such as ambiguity, generality, open texture, and family resemblance concepts. There is a vast literature that discusses the logical, semantic, pragmatic, and epistemic aspects of these phenomena. Legal theory has hitherto paid little attention to the differences between the various kinds of linguistic indeterminacy that are grouped under the heading of "vagueness ", let alone to the various theories that try to account for these phenomena. -/- The paper is an introduction to a book of the same title. Bringing together leading scholars working on the topic of vagueness in philosophy and in law, the book fosters a dialogue between philosophers and legal scholars by examining how philosophers conceive legal ambiguity from their theoretical perspective and how legal theorists make use of philosophical theories of vagueness. (shrink)

Vague expressions are omnipresent in natural language. As such, their use in legal texts is virtually inevitable. If a law contains vague terms, the question whether it applies to a particular case often lacks a clear answer. One of the fundamental pillars of the rule of law is legal certainty. The determinacy of the law enables people to use it as a guide and places judges in the position to decide impartially. Vagueness poses a threat to these ideals. In (...) borderline cases, the law seems to be indeterminate and thus incapable of serving its core rule of law value. -/- In the philosophy of language, vagueness has become one of the hottest topics of the last two decades. Linguists and philosophers have investigated what distinguishes "soritical " vagueness from other kinds of linguistic indeterminacy, such as ambiguity, generality, open texture, and family resemblance concepts. There is a vast literature that discusses the logical, semantic, pragmatic, and epistemic aspects of these phenomena. Legal theory has hitherto paid little attention to the differences between the various kinds of linguistic indeterminacy that are grouped under the heading of "vagueness ", let alone to the various theories that try to account for these phenomena. -/- Bringing together leading scholars working on the topic of vagueness in philosophy and in law, this book fosters a dialogue between philosophers and legal scholars by examining how philosophers conceive vagueness in law from their theoretical perspective and how legal theorists make use of philosophical theories of vagueness. The chapters of the book are organized into three parts. The first part addresses the import of different theories of vagueness for the law, referring to a wide range of theories from supervaluationist to contextualist and semantic realist accounts in order to address the question of whether the law can learn from engaging with philosophical discussions of vagueness. The second part of the book examines different vagueness phenomena. The contributions in part 2 suggest that the greater awareness to different vagueness phenomena can make lawyers aware of specific issues and solutions so far overlooked. The third part deals with the pragmatic aspects of vagueness in law, providing answers to the question of how to deal with vagueness in law and with the professional, political, moral, and ethical issues such vagueness gives rise to. (shrink)

Teleosemantics has an indeterminacy problem. In an earlier publication, I argued that teleosemanticists may afford to be realists about indeterminacy, pointing to the phenomenon of vagueness as a case of really-existing semantic indeterminacy. Here, I continue that project by proposing two criteria of adequacy that a semantically indeterminate theory should meet: a criterion of theoretical adequacy and a criterion of extensional adequacy. I present reasons to think that indeterminate versions of teleosemantics can meet these criteria. I (...) end by discussing vagueness, concluding that it most likely is not the same kind of phenomenon as the semantic indeterminacy afflicting teleosemantics. (shrink)

This article analyses the Italian philosopher and anthropologist Ernesto De Martino’s The Land of Remorse from a philosophical viewpoint. After having presented the main Demartinian concepts (e.g. ‘presence’ and ‘crisis of presence’) and examined the phenomenon of ‘tarantism’ (that is a magical-religious ritual practiced in southern Italy), the author interprets ‘ritual symbols’ as useful ‘fictions,’ which permit to resolve the problem of ‘indeterminacy’ (that refers to vague objects and unknown events), and rescue the human Self from psychological and existential (...) crisis. (shrink)

I motivate and briefly sketch a linguistic theory of vagueness, on which the notion of indeterminacy is understood in terms of the conventions of language: a sentence is indeterminate iff the conventions of language either forbid asserting it and forbid asserting its negation, under the circumstances, or permit asserting either. I then consider an objection that purports to show that if this theory (or, as far as I can see, any other theory of vagueness that deserved the (...) label "linguistic" were true, there would be no such thing as indeterminacy. I respond to this objection by arguing on independent grounds against its main premise, the widely-accepted claim that if it is indeterminate whether P, no human being knows whether P. I defend an alternative view according to which, when it is indeterminate whether P, it is often also indeterminate whether we know that P. (shrink)

Vague expressions are omnipresent in natural language. Their use in legal texts is inevitable. A law phrased in vague terms will often leave it indeterminate whether it applies to a particular case. This places the law at odds with legal values. One of the fundamental pillars of the rule of law is legal certainty. The determinacy of the law enables people to use it as a guide and allows judges make impartial decisions. Vagueness poses a threat to these ideals. (...) In borderline cases, the law seems to be indeterminate and thus incapable of serving its core rule of law value. -/- In the philosophy of language, vagueness has become one of the hottest topics of the past two decades. Linguists and philosophers have investigated what distinguishes ‘soritical’ vagueness from other kinds of linguistic indeterminacy, such as ambiguity, generality, open texture, and family resemblance concepts. There is a vast literature that discusses the logical, semantic, pragmatic, and epistemic aspects of these phenomena. Legal theory has hitherto paid little attention to the differences between the various kinds of linguistic indeterminacy that are grouped under the heading of ‘vagueness’, let alone to the various theories that try to account for these phenomena. -/- Bringing together leading scholars working on the topic of vagueness in philosophy and in law, this book fosters a dialogue between philosophers and legal scholars by examining how philosophers conceive legal ambiguity from their theoretical perspective and how legal theorists make use of philosophical theories of vagueness. -/- The chapters of the book are organized into three parts. The first part addresses the import of different theories of vagueness for the law, referring to a wide range of theories from supervaluationist to contextualist and semantic realist accounts in order to address the question of whether the law can learn from engaging with philosophical discussions of vagueness. The second part of the book examines different vagueness phenomena. The contributions suggest that paying greater attention to these phenomena can make lawyers aware of specific issues and solutions as yet overlooked. The third part deals with the pragmatic aspects of vagueness in law and with the professional, political, and moral issues to which such vagueness gives rise. (shrink)

Ted Sider has famously argued that existence, in the unrestricted sense of ontology, cannot be vague, as long as vagueness is modeled by means of precisifications. The first section of Chapter 9 exposes some controversial assumptions underlying Sider’s alleged reductio of vague existence. The upshot of the discussion is that, although existence cannot be vague, it can be super-vague, i.e. higher-order vague, for all orders. The second section develops and defends a novel framework, dubbed negative supervaluationary semantics, which makes (...) room for the possibility of super-vague existence. (shrink)

A plausible thought about vagueness is that it involves semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. Where there is incomplete specification of extension there is indeterminacy, an indeterminacy between various ways in which the specification of the predicate might be completed or sharpened. In this paper we show that this idea is bound to founder by presenting an argument to the effect that (...) there are vague predicates which cannot be sharpened in such a way as to meet certain basic constraints (of penumbral connection and public accessibility) that must be imposed on the very notion of a sharpening. (shrink)

Person-centred care is a cornerstone of contemporary health policy, research and practice. However, many researchers and practitioners worry that it lacks a 'clear definition and method of measurement,' and that this creates problems for the implementation of person-centred care and limits understanding of its benefits. In this paper we urge caution about this concern and resist calls for a clear, settled definition and measurement approach. We develop a philosophical and conceptual analysis which is grounded in the body of literature concerning (...) the theory and practice of person-centred care. We consider a range of influential definitional frameworks of person-centred care, highlighting their differences and showing that they do not correspond to a clearly circumscribed and consistent underlying concept. We argue that a degree of indeterminacy and vagueness should not be seen as a problem with the concept of person-centred care; these are features of a rich and contested concept which exists prior to and outside of practical and technical operational definitions and applications. We defend the value of operating with multiple accounts of person-centred care, arguing that what counts as being person-centred can vary across different care contexts, in relation to different patient groups, and as a reflection of different, defensible ethical perspectives. Although the idea of a single, agreed definition is attractive and may seem to be a practical or even necessary step towards meaningful and coordinated action, we argue that this is only the case in a qualified sense. Comprehensive attempts to narrow down the concept in this way should be resisted, as they risk undermining what it is that makes person-centredness a valuable concept in healthcare. (shrink)

One of the most popular and enduring approaches to indeterminacy phenomena (e.g., vagueness) over the past several decades has been some form or another of supervaluationism. I argue that supervaluationism is inadequate as a model of indeterminacy: There is an entire class of examples of indeterminacy, characterized by a common “branching” structure, that cannot be modeled in the way supervaluationism proposes. I demonstrate my conclusion explicitly with respect to two specific examples—indeterminate personal identity and indeterminate reference—showing (...) how supervaluationism can model neither. Importantly, my arguments apply to both traditional “semantic” and more recent “metaphysical” versions of supervaluationism. (shrink)

How does vagueness interact with metaphysical modality and with restrictions of it, such as nomological modality? In particular, how do definiteness, necessity (understood as restricted in some way or not), and actuality interact? This paper proposes a model-theoretic framework for investigating the logic and semantics of that interaction. The framework is put forward in an ecumenical spirit: it is intended to be applicable to all theories of vagueness that express vagueness using a definiteness (or: determinacy) operator. We (...) will show how epistemicists, supervaluationists, and theorists of metaphysical vagueness like Barnes and Williams (2010) can interpret the framework.  We will also present a complete axiomatization of the logic we recommend to both epistemicists and local supervaluationists. . (shrink)

Deflationists cannot make sense ofthe notion of referential indeterminacybecause they deny the existence of substantivereference. One way for them to make sense ofthe objective existence of linguisticindeterminacy is by embracing theworldly (or objectual) view ofindeterminacy, the view that indeterminacyexists not in reference relations but in the(non-linguistic) world itself. On this view,the entire world is divided into precisified worlds, just as it is dividedinto temporal slices and (arguably) alethicpossible worlds. Supervaluationism proves tobe neutral with respect to the debate betweenthe worldly view (...) and the referential view ofindeterminacy. (shrink)

Consider an object or property a and the predicate F. Then a is vague if there are questions of the form: Is a F? that have no yes-or-no answers. In brief, vague properties and kinds have borderline instances and composite objects have borderline constituents. I'll use the expression "borderline cases" as a covering term for both. ;Having borderline cases is compatible with precision so long as every case is either borderline F, determinately F or determinately not F. Thus, in addition (...) to borderline cases, vagueness requires "fuzzy borders". A has fuzzy borders if there is no sharp line between a's borderline cases, a's determinate cases and a's determinate non-cases. To illustrate, loudness is vague because in a continuum of gradually increasing volume, there is no fact about where the last definite loud noise is and where the first borderline noise is. ;Actual borderline cases are not required for vagueness. Suppose actual noises are either ear-shatteringly loud or silent. Even so, loudness is vague since it could have borderline instances. Just so for objects. Suppose a table is cleanly bounded such that there is a sharp break between the table and its surroundings. Still, that table is vague since there are worlds at which it is indeterminate whether some wood molecule a is, or is not, part of that table. ;There are three views about which things can be vague. On the linguistic view, vagueness is solely a feature of expressions. On the nihilistic view, nothing is vague because vagueness is incoherent. Pitted against these views is the ontological conception of vagueness according to which borderline instances and constituents arise due to genuine indeterminacy in nature. ;My dissertation defends the ontological conception. I argue against the adequacy of the theory's rivals, disarm a damaging objection and demonstrate the causal superiority of vague events. Anyone familiar with the literature on vagueness will notice that only a subset of issues are discussed. What I offer is preliminary--I hope only to make the theory of ontological vagueness attractive enough to merit future work. (shrink)

This unique anthology of new, contributed essays offers a range of perspectives on various aspects of ontic vagueness. It seeks to answer core questions pertaining to onticism, the view that vagueness exists in the world itself. The questions to be addressed include whether vague objects must have vague identity, and whether ontic vagueness has a distinctive logic, one that is not shared by semantic or epistemic vagueness. The essays in this volume explain the motivations behind onticism, (...) such as the plausibility of mereological vagueness and indeterminacy in quantum mechanics and they offer various arguments both for and against ontic vagueness; onticism is also compared with other, competing theories of vagueness such as semanticism, the view that vagueness exists only in our linguistic representation of the world. Gareth Evans’s influential paper of 1978, “Can There Be Vague Objects?” gave a simple but cogent argument against the coherence of ontic vagueness. Onticism was subsequently dismissed by many. However, in recent years, researchers have become aware of the logical gaps in Evans’s argument and this has triggered a new wave of interest in onticism. Onticism is now widely regarded as at least a coherent view. Reflecting this growing consensus, the present anthology for the first time puts together essays that are focused on onticism and its various facets and it fills in the lacuna in the literature on vagueness, a much-discussed subject in contemporary philosophy. (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)

The teleosemantic indeterminacy problem has generated much discussion but no consensus. One possible solution is to accept indeterminacy as a real feature of some representations. I call this view “indeterminacy realism.” In this paper, I argue that indeterminacy realism should be treated as a serious option. By drawing an analogy with vagueness, I try to show that accepting the reality of indeterminacy would not be catastrophic for teleosemantics. I further argue that there are positive (...) reasons to endorse indeterminacy realism. I end the paper by arguing that indeterminacy realism need not generalize viciously to the case of propositional attitudes. (shrink)

In semiotics, final causation can be related to the process of determination (PAPE, 1993). From Peirce’s point of view, determination is not a causal determinism, but a delimitation of a range of possibilities. One starts from objects towards interpretants, in a process mediated by the sign, in which the dynamic object works as a force that constrains interpretants to correspond to their objects. The correspondence between object and interpretant is important because it is through a generated interpretant that the object (...) of a sign can be known. Even though this process of determination coincides with the idea of final causation, there is a certain indeterminacy in it. For Peirce (EP 2:353, 1905), vagueness and generality are two types of indeterminacy. In the terms of the phenomenological categories, vagueness is an indeterminacy of the order of firstness, generality an indeterminacy of the order of thirdness, and both, to some extent, are opposed to that which is defined, which belongs to secondness. Each aspect of the sign may vary according to the three phenomenological categories. Consequently, degrees of imprecision are added to the semiotic process, which is a determination process. Peirce asserts that the perfect precision of thought is theoretically unattainable (SS 11, 1903). Every sign is vague or general at least to some degree. In this paper, we seek to perceive degrees of indetermination and causality from an analysis of the kinds of objects and interpretants proposed by Peirce in the system of 28 sign classes. (shrink)

The integration of normative analysis with empirical data often remains unclear despite the availability of many empirical bioethics methodologies. This paper sought bioethics scholars’ experiences and reflections of doing empirical bioethics research to feed these practical insights into the debate on methods. We interviewed twenty-six participants who revealed their process of integrating the normative and the empirical. From the analysis of the data, we first used the themes to identify the methodological content. That is, we show participants’ use of familiar (...) methods explained as “back-and-forth” methods (reflective equilibrium), followed by dialogical methods where collaboration was seen as a better way of doing integration. Thereafter, we highlight methods that were deemed as inherent integration approaches, where the normative and the empirical were intertwined from the start of the research project. Second, we used the themes to express not only how we interpreted what was said but also how things were said. In this, we describe an air of uncertainty and overall vagueness that surrounded the above methods. We conclude that the indeterminacy of integration methods is a double-edged sword. It allows for flexibility but also risks obscuring a lack of understanding of the theoretical-methodological underpinnings of empirical bioethics research methods. (shrink)

Vagueness in the law, as elsewhere, comes in different forms. Some of it is unavoidable, while other cases are optional and deliberately chosen by lawmakers. My main purpose in this essay is to distinguish between different types of vagueness in the legal context and to explain their rationales. The argument proceeds in two main stages: The first part is taxonomical, mostly about the semantics of vagueness, and related linguistic indeterminacies, that we find in statutory language. The second (...) part takes up each one of these different types of vagueness in law, suggesting some ways in which legal decision makers reason with vague language, and some of the normative considerations that apply, depending on the kind of vagueness involved. (shrink)

It is often assumed that indeterminacy in mereological relations—in particular, indeterminacy in which collections of objects have fusions—leads immediately to indeterminacy in what objects there are in the world. This assumption is generally taken as a reason for rejecting mereological vagueness. The purpose of this paper is to examine the link between mereological vagueness and existential vagueness. I hope to show that the connection between the two forms of vagueness is not nearly so (...) clear-cut as has been supposed. (shrink)

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. (shrink)

There has recently been a growing interest in the topic of vagueness and indeterminacy in contemporary metaphysics, with two views taking center stage. The semantic view holds that indeterminacy is due to vagueness in the extension of concepts, while the ontological view holds that indeterminacy is due to the vagueness of certain objects. There has, however, been little research on discussions of vagueness and indeterminacy in early-modern philosophy despite the relevance of (...) class='Hi'>vagueness and indeterminacy for issues such as real and nominal definitions, clear and distinct ideas, and the principle of complete determination. In this paper, I survey discussions of vagueness in Locke, Leibniz, and Kant and point to ways in which the problem of vagueness and indeterminacy touches on broader issues in their respective philosophies. Although Locke, Leibniz, and Kant all suggest that vagueness is a semantic phenomenon, Kant also appears to countenance an ontological view according to which objects as appearances may sometimes be indeterminate. (shrink)

Intuitively, vagueness involves some sort of indeterminacy: if Plato is a borderline case of baldness, then there is no fact of the matter about whether or not he’s bald—he’s neither bald nor not bald. The leading formal treatments of such indeterminacy—three valued logic, supervaluationism, etc.—either fail to validate the classical theorems, or require that various classically valid inference rules be restricted. Here we show how a fully classical, yet indeterminist account of vagueness can be given within (...) natural semantics, an alternative semantics for classical proof theory. The key features of the account are: there is a single notion of truth—definite truth—and a single notion of validity; sentences can be true, false, or undetermined; all classical theorems and all classical inference rule are valid; the sorites argument is unsound; ‘definitely’ is treated as a meta-language predicate; higher-order vagueness is handled via semantic ascent. (shrink)

This is a paper about the nature of metaphysical laws and their relation to the phenomenon of vagueness. Metaphysical laws are introduced as analogous to natural laws, and metaphysical indeterminism is modeled on causal indeterminacy. This kind of indeterminacy is then put to work in developing a novel theory of vagueness and a solution to the sorites paradox.

In "Sider on Existence" (Noužs, 2007), David Liebesman and Matti Eklund argue that my "indeterminacy argument", according to which quantifiers are never vague, clashes with my "naturalness argument", according to which quantifiers "carve at the joints". There is, I argue, no outright inconsistency. But Liebesman and Eklund have shown that my arguments are not as independent as it may have appeared. The best defense of the indeterminacy argument is via the naturalness argument.

The goal of this paper is a comprehensive analysis of basic reasoning patterns that are characteristic of vague predicates. The analysis leads to rigorous reconstructions of the phenomena within formal systems. Two basic features are dealt with. One is tolerance: the insensitivity of predicates to small changes in the objects of predication (a one-increment of a walking distance is a walking distance). The other is the existence of borderline cases. The paper shows why these should be treated as different, though (...) related phenomena. Tolerance is formally reconstructed within a proposed framework of contextual logic, leading to a solution of the Sorites paradox. Borderline-vagueness is reconstructed using certain modality operators; the set-up provides an analysis of higher order vagueness and a derivation of scales of degrees for the property in question. (shrink)

Vagueness: an expression is vague if and only if it is possible that it give rise to a “borderline case.” A borderline case is a situation in which the application of a particular expression to a (name of) a particular object does not generate an expression with a definite TRUTH-VALUE. That is, the piece of language in question neither applies to the object nor fails to apply. Although such a formulation leaves it open what the pieces of language might (...) be (whole sentences, individual words, NAMES or SINGULAR TERMS, PREDICATES or GENERAL TERMS), most discussions have focussed on vague general terms and have considered other types of terms to be non-vague. (Exceptions to this have called attention to the possibility of vague objects, thereby making the designation relation for singular terms be vague). The formulation also leaves open the possible causes for the expression not to have a definite truth value. If this indeterminacy is due to there being insufficient information available to determine applicability or non-applicability of the term (that is, we’re convinced the term either does or doesn’t apply, but we just don’t have enough information to determine which), then this is sometimes called “epistemic vagueness.” It is somewhat misleading to call this vagueness, for unlike true vagueness, this epistemic vagueness disappears if more information is brought into the situation. (‘There are 1.89∞106 stars in the sky’ epistemically vague but is not vague in the generally accepted sense of the term). ‘Vagueness’ may also be used to characterize non-linguistic items such as CONCEPTS, MEMORIES, and OBJECTS ... as well as such semi-linguistic items as STATEMENTS and PROPOSITIONS. Many of the issues involved in discussing the topic of vagueness impinge upon other philosophical topics, such as the existence of TRUTH-VALUE GAPS (declarative sentences which are neither TRUE nor FALSE) and the plausibility of MANY-VALUED LOGIC.. (shrink)

Is it possible to maintain classical logic, stay close to classical semantics, and yet accept that language might be semantically indeterminate? The article gives an affirmative answer by Ramsifying classical semantics, which yields a new semantic theory that remains much closer to classical semantics than supervaluationism but which at the same time avoids the problematic classical presupposition of semantic determinacy. The resulting Ramsey semantics is developed in detail, it is shown to supply a classical concept of truth and to fully (...) support the rules and metarules of classical logic, and it is applied to vague terms as well as to theoretical or open-ended terms from mathematics and science. The theory also demonstrates how diachronic or synchronic interpretational continuity across languages is compatible with semantic indeterminacy. (shrink)

Over the last few years the diplomatic language of UN resolutions has repeatedly been questioned for the excessive presence of vagueness. The use of vague terms could be connected to the genre of diplomatic texts, as resolutions should be applicable to every international contingency and used to mitigate tensions between different legal cultures. However, excessive vagueness could also lead to biased or even strategically-motivated interpretations of resolutions, undermining their legal impact and triggering conflicts instead of diplomatic solutions. This (...) study aims at investigating intentional vagueness in Security Council resolutions, by focussing on the analysis of the resolutions relating to the second Gulf war. Using the qualitative Discourse-Historical approach (Wodak in Rhetorics of racism and antisemitism, Taylor & Francis Ltd., London [2000]) and quantitative analysis tools (Antconc and Sketch Engine), special attention is given to the historical/political consequences of the vagueness and indeterminacy used in that framework and to the study of vague ‘weasel words’ (Mellinkoff in The language of the law, Little, Brown & Company, Boston [1963]), modals, and adjectives contained in the corpus. The hypothesis of intentional vagueness is further reinforced through an analysis of the US legislation related to the outbreak of the war, to reveal how the US has legally interpreted UN legislation and to understand the purposes and consequences of vague language contained in it. The findings indicate that vagueness in resolutions has triggered the Iraqi conflict instead of diplomatic solutions with the overall legislative intent of using intentional vagueness as a political strategy. (shrink)

The main focus of this thesis is indeterminate identity and its relations to vague objects and to imprecise designation. Evans's argument concerning indeterminate-identity statements is often regarded as a proof that vague objects cannot exist. In chapter I I try to argue that the argument may be refuted by vague objects theorists. In chapter II I present various accounts of what indeterminate identity between objects may consist in and three different characteristics of it. I argue that there are objects whose (...) identity is indeterminate and that such indeterminacy is ontic in the sense that it concerns individuation and spatio-temporal boundaries of objects. I also formulate the argument showing that terms designating indeterminately identical objects cannot be precise designators. Chapter III is devoted to problems concerning vagueness and identity-over-time. The indeterminate answer to the questions concerning diachronic identity in puzzling cases can be regarded as the correct response by both endurantists and perdurantists. However, while for perdurantists the whole vagueness of persistence conditions is a conceptual matter, for endurantists it deserves the name of "ontic vagueness". Chapter IV focuses on questions concerning vagueness and identity-at-a-time. I offer a new solution to the problem of the many, according to which in each case in which the problem arises there is - contrary to appearances - only one object present. The problem arises because each such object has many precisifications, which nevertheless have no ontological significance. I also propose a new account of what it takes for an object to be vague. Chapter V deals with indeterminate identity in the domain of quanta. The first part investigates the various problems concerning identity and individuation of quantum particles, whereas the second part is devoted to analysis and critique of E. J. Lowe's example of alleged indeterminate identity-over-time between electrons. (shrink)

I consider two possible sources of vagueness. The first is indeterminacy about which intension is expressed by a word. The second is indeterminacy about which referent (extension) is determined by an intension. Focusing on a Fregean account of intensions, I argue that whichever account is right will matter to whether vagueness turns out to be a representational phenomenon (as opposed to being “in the world”). In addition, it will also matter to whether supervaluationism is a viable (...) semantic framework. Based on these considerations, I end by developing an argument against supervaluational semantics that depends, instead, on anti-Fregean (Millian) assumptions. (shrink)