Vagueness and Indeterminacy

This paper addresses the question of what should determine whether students’ answers to closed questions are marked as correct or incorrect in the context of formal religious education, and when their answers to open ended questions should be given more or less credit. Drawing on insights from Craig Bourne, Emily Caddick Bourne and Clare Jarmy, I argue that a combination of judged truth, and a range of well-argued cases about what ought to be believed given certain premises should constrain these (...) assessment practices. Furthermore, I argue that if we cannot find any consistent, nonarbitrary account of how judgements of correctness and merit are in fact being made in the context of formal religious education, then this tells more against current practice’s inconsistency and arbitrariness than against these constraints on how judgements of correctness and merit should be made. (shrink)

This essay explores the validity of Gregory Boyd’s open theistic account of the nature of the future. In particular, it is an investigation into whether Boyd’s logical square of opposition for future contingents provides a model of reality for free will theists that can preserve both bivalence and a classical conception of omniscience. In what follows, I argue that it can.

A framework of degrees of belief, or credences, is often advocated to model our uncertainty about how things are or will turn out. It has also been employed in relation to the kind of uncertainty or indefiniteness that arises due to vagueness, such as when we consider “a is F” in a case where a is borderline F. How should we understand degrees of belief when we take into account both these phenomena? Can the right kind of theory of the (...) semantics of vagueness help us answer this? Nicholas J.J. Smith defends a unified account, according to which “degree of belief is expected truth-value”; this builds on his Degree Theory of vagueness that offers an account of the semantics and logic of vagueness in terms of degrees of truth. I argue that his account fails. Degree theories of vagueness do not help us understand degrees of belief and, I argue, we shouldn’t expect a theory of vagueness to yield a detailed uniform story about this. The route from the semantics to psychological states needn’t be straightforward or uniform even before we attempt to combine vagueness with probabilistic uncertainty. (shrink)

Intuitively there are many different things that non-derivatively contribute to well-being: pleasure, desire satisfaction, knowledge, friendship, love, rationality, freedom, moral virtue, and appreciation of true beauty. According to pluralism, at least two different types of things non-derivatively contribute to well-being. Lopsided lives score very low in terms of some types of things that putatively non-derivatively contribute to well-being, but very high in terms of other such types of things. I argue that pluralists essentially face a trilemma about lopsided lives: they (...) must either make implausible claims about how they compare in terms of overall well-being with more balanced lives, allow overall well-being to be implausibly hypersensitive to very slight nonevaluative differences, or else adopt implausible seeming limits on what things lives can contain or how much they can contribute to overall well-being. Such problems about lopsided lives thus push us away from pluralism and toward simpler theories of well-being, toward hedonism in particular. (This piece is the subject of Eden Lin’s paper “Well-Being and Hedonic Indispensability”.). (shrink)

This chapter relates the problem of demarcating the pathological from the non-pathological in psychiatry to the general problem of defining ‘disease’ in the philosophy of medicine. Section 2 revisits three prominent debates in medical nosology: naturalism versus normativism, the three dimensions of illness, sickness, and disease, and the demarcation problem. Sections 3–5 reformulate the demarcation problem in terms of semantic vagueness. ‘Disease’ exhibits vagueness of degree by drawing no sharp line in a continuum and is combinatorially vague because there are (...) several criteria for the term’s use that might fall apart. Combinatorial vagueness explains why the other two debates appear hopeless: Should we construe ‘disease’ in a naturalistic or in a normative way? Neither answer is satisfactory. How should we balance the three dimensions of pathology? We do not have to, because illness, sickness and disease (narrowly conceived) are non-competing criteria for the application of the cluster term ‘disease’. (shrink)

'Epistemic' accounts of vagueness argue that so called 'borderline' cases of a term actually always do fall within that term's extension. What makes the case borderline is that this fact may be unknowable. Such epistemic theories have traditionally been taken to be unable to accommodate the intuitive connection between meaning and use. However, it will be argued here that if one endorses a type of 'Temporal Externalism' about meaning, then one can both endorse epistemic accounts of vagueness and hold on (...) to the traditional tie between meaning and use. (shrink)

A Note on the Linguistic Determinacy in the Legal Context This paper discusses linguistic vagueness in the context of a semantically restricted domain of legal language. It comments on selected aspects of vagueness found in contemporary English normative legal texts and on terminological problems related to vagueness and indeterminacy both in the legal domain and language in general. The discussion is illustrated with selected corpus examples of vagueness in English legal language and attempts to show problems of the relation between (...) vagueness and ambiguity in the context of legal institutionalised systems.The discussion also evokes theoretical issues which pertain to the relation between legal texts and their contexts, the problem of how linguistic forms acquire their contextual meaning and how linguistic expressions are disambiguated. These issues are further related to the post-Gricean theory of relevance, its inferential model of communication, and the interplay between the linguistic code and inferential processes in communication. (shrink)

In psychiatry there is no sharp boundary between the normal and the pathological. Although clear cases abound, it is often indeterminate whether a particular condition does or does not qualify as a mental disorder. For example, definitions of ‘subthreshold disorders’ and of the ‘prodromal stages’ of diseases are notoriously contentious. -/- Philosophers and linguists call concepts that lack sharp boundaries, and thus admit of borderline cases, ‘vague’. Although blurred boundaries between the normal and the pathological are a recurrent theme in (...) many publications concerned with the classification of mental disorders, systematic approaches that take into account philosophical reflections on vagueness are rare. This book provides interdisciplinary discussions about vagueness in psychiatry by bringing together scholars from psychiatry, psychology, philosophy, history, and law. It draws together various lines of inquiry into the nature of gradations between mental health and disease and discusses the individual and societal consequences of dealing with blurred boundaries in medical practice, forensic psychiatry, and beyond. -/- Part I starts with an overview chapter that helps readers to navigate through the philosophy of vagueness and through the various debates surrounding demarcation problems in the classification and diagnosis of mental illness. Part II encompasses historical and recent philosophical positions on gradualist approaches to health and disease. Part III approaches the vagueness of present psychiatric classification systems, and the debates concerning their revisions by scrutinizing controversial categories, such as posttraumatic stress disorder, and the difficulties of day-to-day diagnostic and therapeutic practice. Part IV finally focuses on social, moral, and legal implications that arise when being mentally ill is a matter of degree. (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.

Most believe that it is worse for a person to die than to continue to exist with a good life. At the same time, many believe that it is not worse for a merely possible person never to exist than to exist with a good life. I argue that if the underlying properties that make us the sort of thing we essentially are can come in small degrees, then to maintain this commonly-held pair of beliefs we will have to embrace (...) an implausible sort of evaluative hypersensitivity to slight nonevaluative differences. Avoidance of such hypersensitivity pressures us to accept that it can be worse for merely possible people never to exist. If this conclusion is correct, then the standard basis for giving no or less priority to merely possible persons would disappear (i.e., that things cannot be better or worse for them). Though defenders of Person-Affecting Views and their opponents may still disagree in theory, they could arrive at the same answers to many monumentally important practical questions. (shrink)

Kilimanjaro is an example of what some philosophers would call a ‘vague object’: it is only roughly 5895 m tall, its weight is not precise and its boundaries are fuzzy because some particles are neither determinately part of it nor determinately not part of it. It has been suggested that this vagueness arises as a result of semantic indecision: it is because we didn’t make up our mind what the expression “Kilimanjaro” applies to that we can truthfully say such things (...) as “It is indeterminate whether this particle is part of Kilimanjaro”. After reviewing some of the limitations of this approach, I will propose an alternative account, based on a new semantic relation—multiple reference—capable of holding in a one-many pattern between a term and several objects in the domain. I will explain how multiple reference works, what differentiates it from plural reference and how it might be used to accommodate at least some aspects of our ordinary discourse about vague objects. (shrink)

In reply to my criticism of his argument for the fine-grained theory of action individuation, Hendrickson proposes a new argument. He notes that there is a kind of indeterminacy with respect to Caesar’s death in the case of Brutus’s stabbing of Caesar that is missing in the case of Brutus’s killing of Caesar. He argues that the best explanation for the indeterminacy is given by the fine-grained view. I show that the argument fails for similar reasons. Minimalists have good reasons (...) not to accept a crucial premise, viz., that the indeterminacy is metaphysical rather than merely linguistic. (shrink)

n this paper I argue that the epistemicist account of vagueness cannot be entirely correct. After analysing the main features of Williamson’s view, I propose a novel approachto the epistemological problem of borderline cases.

Ambiguity, vagueness and metaphor are pervasive features of language, deserving of systematic study in their own right. Yet they have frequently been considered mere deviations from ideal language or obstacles to be avoided in the construction of scientific systems. First published in 1979, _Beyond the Letter_ offers a consecutive study of these features from a philosphical point of view, providing analyses of each and treating their relations to one another. Addressed to the fundamental task of logical and semantic explanation, the (...) book employs an inscriptional methodology in the attempt to avoid prevalent forms of question-begging, and, further, in the conviction that sparseness of assumption often reveals points of theoretical interest irrespective of methodolgical preference. The author distinguishes and analyses several varieties of ambiguity, developing new semantic notions in the process; recasts the philosophical treatment of vagueness in the light of recent criticisms of analyticity; discusses the bearing of vagueness on logic; and provides a systematic critique of major recent interpretations of metaphor, developing a revised version of contextualism. (shrink)

From its inception psychoanalysis has sought to effect a cure through the therapeutic relationship between analyst and analysand. _Betweenity _looks at what happens when the established framework of the psychoanalytic process is challenged by those with borderline personalities. In this book Judy Gammelgaard looks at how we might understand the analysand who is unable to engage with therapy and how we might bring them to a point where they are able to do so. Areas of discussion include: the border between (...) psychiatry and psychoanalysis early mother-child relationships the splitting of the ego. This book will be essential reading for all psychoanalysts, psychotherapists and practitioners wishing to learn more about working with borderline personality structures and disorders. (shrink)

_The Borderline Psychotic Child_ reviews the history and evolution of the borderline diagnosis for children, both in the USA and the UK, bringing the reader up to date with current clinical opinion on the subject. Using a range of clinical case studies, the book attempts to harmonise US and UK views on borderline diagnosis in the light of new developments in theory at The Menninger Clinic, The Anna Freud Centre and The Tavistock Clinic. Providing an introduction to the borderline concept, (...) and a systematic overview of current theoretical thinking and clinical practices from leading practitioners in the field, _The Borderline Psychotic Child_ will make informative reading both for professionals and students in the field of child analysis. (shrink)

Does vagueness exclude knowledge? After arguing for an affirmative answer to this question, I consider a fascinating objection. Barnett offers purported counterexamples to the following: Vagueness as to whether p entails that nobody knows whether p. These putative counterexamples, were they successful, would establish that standard accounts of vagueness are mistaken. I defend three central theses: First, whenever it is vague whether p competent speakers would be ambivalent about whether p when considering whether p, and such ambivalence would exclude knowledge (...) of whether p. Second, it is impossible for there to be vagueness regarding which of two polar opposite mental states obtains when only one of such states obtains. Finally, this type of impossibility constitutes evidence for dualism; i.e., the thesis that mental states are neither identical to physical states nor obtain in virtue of the obtaining of physical states. (shrink)

Wittgenstein has shown that that life, in the sense that applies in the first place to human beings, is inherently linguistic. In this paper, I ask what is involved in language, given that it is thus essential to life, answering that language – or concepts – must be both alive and the ground for life. This is explicated by a Wittgensteinian series of entailments of features. According to the first feature, concepts are not intentional engagements. The second feature brings life (...) back to concepts by describing them as inflectible: Attitudes, actions, conversations and other engagements inflect concepts, i.e., concepts take their particular characters in our actual engagements. However, inflections themselves would be reified together with the life they ground unless they could preserve the openness of concepts: hence the third feature of re-inflectibility. Finally, the openness of language must be revealed in actual life. This entails the possibility of conceptual ambivalence. (shrink)

Recent experiments have shown that naive speakers find borderline contradictions involving vague predicates acceptable. In Cobreros et al. we proposed a pragmatic explanation of the acceptability of borderline contradictions, building on a three-valued semantics. In a reply, Alxatib et al. show, however, that the pragmatic account predicts the wrong interpretations for some examples involving disjunction, and propose as a remedy a semantic analysis instead, based on fuzzy logic. In this paper we provide an explicit global pragmatic interpretation rule, based on (...) a somewhat richer semantics, and show that with its help the problem can be overcome in pragmatics after all. Furthermore, we use this pragmatic interpretation rule to define a new consequence-relation and discuss some of its properties. (shrink)

How do we know what we "know"? How did we –as individuals and as a society – come to accept certain knowledge as fact? In _Human Knowledge,_ Bertrand Russell questions the reliability of our assumptions on knowledge. This brilliant and controversial work investigates the relationship between ‘individual’ and ‘scientific’ knowledge. First published in 1948, this provocative work contributed significantly to an explosive intellectual discourse that continues to this day.

In Facing the Future, Belnap et al. reject bivalence and propose double time reference semantics to give a pragmatic response to the following assertion problem: how can we make sense of assertions about future events made at a time when the outcomes of those events are not yet determined? John MacFarlane employs the same semantics, now bolstered with a relative-truth predicate, to accommodate the following apparently conflicting intuitions regarding the truth-value of an uttered future contingent: at the moment of utterance, (...) if asked to evaluate the truth-value of the asserted future contingent one has the intuition that the assertion is neither true nor false, yet later, at the moment of the predicted event, one has the intuition that the assertion was, already, either true or false. Both MacFarlane and Belnap assume that assertions of future contingents have complete propositional content – the traditional propositional contents that, according to him ‘are the contents of assertions and beliefs’. This assumption is challenged. (shrink)

In my paper I argue that a successful theory of vagueness should be able to account for faultless disagreement concerning borderline cases.Firstly, I claim that out of the traditional conceptions of vagueness the best equipped to account for faultless disagreement areparaconsistent solutions. One worry concerning dialetheism is that it seems to allow not only for faultless disagreements between different speakers, but also for such ‘disagreements’ between the given speaker and himself. Another worry, at least for some people, is that subvaluationism (...) and dialetheism account for faultless disagreements by allowing contradictions. Next, I go on to argue that contextual conceptions, which are free from this latter worry, are equally well able to account for such disagreements. To this aim I offer a new account of the usage of personal taste predicates and suggest that we model the usage of all vague predicates on them. The idea is that in clear cases “a is F” means “a is F simpliciter”, whereas in borderline cases it means “a is F-to-me”. Since the boundary between borderline and nonborderline cases depends on context, my solution weds content-contextualism with truth-contextualism. (shrink)

My dissertation focuses on issues of indeterminacy in ethics and the philosophy of law. My aim is to establish the existence of moral indeterminacy and to show how we can allow some degree of indeterminacy in both ethics and the law without necessarily abandoning objectivist positions that may withstand noncognitivist or legal realist criticisms. ;The dissertation is divided into two parts. In the first, I devote a chapter to each of three sources of moral indeterminacy. The first chapter focuses on (...) the open texture of moral concepts. The second concentrates on value incommensurability, understood as incomparability among morally laden options. The third is devoted to what I call descriptive indeterminacy--situations where morally relevant features can be described in different, equally appropriate ways, and the moral verdict we reach will differ depending upon which description is selected. ;The second part of the dissertation is devoted to exploring the implications of indeterminacy for ethics and jurisprudence. Chapter Four is given over to metaethics, and is devoted to defending the compatibility of objectivism and indeterminacy. Chapter Five considers a miscellany of challenges to my conclusions in Chapter Four, and further develops the case for the compatibility of objectivism and indeterminacy. Chapter Six examines the structure of moral theories and argues that indeterminacy can be retained in either a rule-based ethic or one less sympathetic to the existence of generally-relevant moral properties. The last chapter is devoted to establishing the existence of ineliminable indeterminacy in any developed system of law. (shrink)

The act of judging how matters stand was a subject of investigation for Husserl throughout his career. The recurrence of this theme in his work indicates the great importance which Husserlian phenomenology attributed to the task of uncovering the nature of judgment. Scholarly commentary on Husserl has, until now, lacked one of the essential elements for a complete account of Husserl on judgment, because there was no full-length investigation into the important theme of "vague judgment" in his writings. ;This dissertation (...) is a critical interpretation of Husserl's principle texts on vague judgment. In addition to using the general norms of scholarly analysis, it takes great care to understand Husserl from within the transcendental reduction, lest his statements be misinterpreted as paradoxes dissolving into incoherence. The dissertation also seeks to identify the relation of the elements of the description of vague judgment to the more fundamental principles of phenomenology: parts/whole, identity/difference, empty/filled, presence/absence. This investigation starts with Husserl's fullest treatment of categorical vagueness, from Formal and Transcendental Logic , and then considers the theme in Ideas I and Logical Investigations , with a consideration of the use which Husserl makes of this description to analyze cultural sediments in The Origin of Geometry . ;The study concludes that vague judging is an empty act in which from the whole which possesses an attribute there does not emerge that attribute as a distinct part to be then identified with its whole. Because of this failure to think articulatedly, the fact, even in its perceptual presence, is absent as it itself. This description also brings to light essential notes of vague judgment and its foundation, viz., time. Finally this dissertation shows that Husserl's description of vague judgment unfolded organically, without basic reversal, over the course of his life's work. (shrink)