There is a vast literature that seeks to uncover features underlying moral judgment by eliciting reactions to hypothetical scenarios such as trolley problems. These thought experiments assume that participants accept the outcomes stipulated in the scenarios. Across seven studies, we demonstrate that intuition overrides stipulated outcomes even when participants are explicitly told that an action will result in a particular outcome. Participants instead substitute their own estimates of the probability of outcomes for stipulated outcomes, and these probability estimates in turn (...) influence moral judgments. Our findings demonstrate that intuitive likelihoods are one critical factor in moral judgment, one that is not suspended even in moral dilemmas that explicitly stipulate outcomes. Features thought to underlie moral reasoning, such as intention, may operate, in part, by affecting the intuitive likelihood of outcomes, and, problematically, moral differences between scenarios may be confounded with non-moral intuitive probabilities. (shrink)

Should psychology of religion undergo a disciplinary renaissance and, if so, what might it look like? In this paper we explore that question by discussing the benefits of a better grounding of the field within mid-level theories from general psychology that provide it with greater conceptual depth. Such discussion will focus on three already existing and variously productive lines of research as case studies: attribution processes, attachment styles, and religious coping. These case studies represent lines of research at three developmental (...) stages: 1) infancy, with little visible return but with signs of promise , 2) adolescence, with dividends already yielded but also with promise not yet fully realized , and 3) maturity, where a fruitful harvest has already been experienced but yet without decline . Regardless of developmental position, it is argued that research in psychology of religion will be enhanced to the extent that it achieves conceptual depth by being framed in terms of mid-level theories. (shrink)

The socio-economic “pro-democracy” revolutions which are currently sweeping the Soviet Union and Eastern Europe in the name of glasnost and perestroika have virtually stunned all but the best informed in the Western World. The demand for reform throughout the so-called “Soviet block,” and the concomitant impatience with the progress of these changes in the economic and basic social fabric of these societies, have come to exhibit an urgency which few observers, if any, had been able to forecast a few short (...) years ago. The declarations by some members of the U.S. Congress that these changes are indicative of the fact that the cold war has been won by the West, and that we are now witnessing the precipitous collapse of Marxist ideology, together with the widespread sentiment that there is “no going back” to the repressive Leninist-inspired regimes of Stalin, Khruschev, and Brezhniev are all synergistic to the creation of a sentiment of optimism that indeed we have turned the corner in East-West relations. To a world which has lived under the long night of thermonuclear extinction for over four decades, the feeling accompanying the prospect of a possible end to the nightmare of Armageddon further enhances the euphoric sentiment. (shrink)

Graham Priest (1994) has argued that the following paradoxes all have the same structure: Russell’s Paradox, Burali-Forti’s Paradox, Mirimanoff’s Paradox, König’s Paradox, Berry’s Paradox, Richard’s Paradox, the Liar and Liar Chain Paradoxes, the Knower and Knower Chain Paradoxes, and the Heterological Paradox. Their common structure is given by Russell’s Schema: there is a property φ and function δ such that..

A number of authors have noted that vagueness engenders degrees of belief, but that these degrees of belief do not behave like subjective probabilities. So should we countenance two different kinds of degree of belief: the kind arising from vagueness, and the familiar kind arising from uncertainty, which obey the laws of probability? I argue that we cannot coherently countenance two different kinds of degree of belief. Instead, I present a framework in which there is a single notion of degree (...) of belief, which in certain circumstances behaves like a subjective probability assignment and in other circumstances does not. The core idea is that one’s degree of belief in a proposition P is one’s expectation of P’s degree of truth. (shrink)

Rovelli’s “Why Gauge?” offers a parable to show that gauge-dependent quantities have a modal and relational physical significance. We subject the morals of this parable to philosophical scrutiny and argue that, while Rovelli’s main point stands, there are important disanalogies between his parable and Yang-Mills type gauge theory.

One of the most striking differences between Frege's Begriffsschrift (logical system) and standard contemporary systems of logic is the inclusion in the former of the judgement stroke: a symbol which marks those propositions which are being asserted , that is, which are being used to express judgements . There has been considerable controversy regarding both the exact purpose of the judgement stroke, and whether a system of logic should include such a symbol. This paper explains the intended role of the (...) judgement stroke in a way that renders it readily comprehensible why Frege insisted that this symbol was an essential part of his logical system. The key point here is that Frege viewed logic as the study of inference relations amongst acts of judgement , rather than – as in the typical contemporary view – of consequence relations amongst certain objects (propositions or well-formed formulae). The paper also explains why Frege's use of the judgement stroke is not in conflict with his avowed anti-psychologism, and why Wittgenstein's criticism of the judgement stroke as 'logically quite meaningless' is unfounded. The key point here is that while the judgement stroke has no content , its use in logic and mathematics is subject to a very stringent norm of assertion. (shrink)

The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot make room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have advocated a model that represents degrees of belief using imprecise probabilities (sets of probability functions). This paper presents a model of degrees of belief based on Dempster–Shafer belief functions and then presents (...) arguments for belief functions over imprecise probabilities as a model of evidence-respecting degrees of belief. The arguments cover three kinds of issue: theoretical virtues (simplicity, interpretability and flexibility); motivations; and problem cases (dilation and belief inertia). (shrink)

One of Tarski’s stated aims was to give an explication of the classical conception of truth—truth as ‘saying it how it is’. Many subsequent commentators have felt that he achieved this aim. Tarski’s core idea of defining truth via satisfaction has now found its way into standard logic textbooks. This paper looks at such textbook definitions of truth in a model for standard first-order languages and argues that they fail from the point of view of explication of the classical notion (...) of truth. The paper furthermore argues that a subtly different definition—also to be found in classic textbooks but much less prevalent than the kind of definition that proceeds via satisfaction—succeeds from this point of view. (shrink)

In this article I attempt to examine the justification for the mandatory drug testing of employees. The justification commonly assumes the form of the productivity argument which states that an employer has a proprietary right to regulate the purchased time of the employee. Since the employer may be rightfully concerned with the employee''s productive output, so this argument goes, the employer retains the right to motivate production. By extension, the employee''s behavior outside of the workplace which affects his or her (...) productive capacity may also be regulated, including drug use which may affect this capacity. Thus it is claimed that the employer has the right to test employees for drug use and to impose sanctions when it is discovered.I argue that the implications of the productivity argument lead to unacceptable consequences and thus must be rejected. The productivity argument can be examined in light of a thought-experiment in which the reader is asked to imagine the discovery of two drugs, both of which enhance employee productivity. Calling these drugs hedonine and pononine, I imagine the first to be pleasurable to the employee while the second is accompanied by a degree of pain and discomfort. Since the mandated use of both of these imagined drugs would be consistent with the productivity argument, I maintain that the productivity argument thereby fails and so must be rejected. As employee drug testing is justified by this argument, it must also be rejected. (shrink)

In this superb introduction, Nicholas Dent covers the whole of Rousseau's thought. Beginning with a helpful overview of Rousseau's life and works, he introduces and assesses Rousseau's central ideas and arguments. These include the corruption of modern civilization, the state of nature, his famous theories of _amour de soi _and _amour propre_, education, and his famous work _Emile_. He gives particular attention to Rousseau's theories of democracy and freedom found in his most celebrated work, _The Social Contract_, and explains (...) what Rousseau meant by the 'general will'. (shrink)

This paper brings to light a new puzzle for Frege interpretation, and offers a solution to that puzzle. The puzzle concerns Frege’s judgement-stroke (‘|’), and consists in a tension between three of Frege’s claims. First, Frege vehemently maintains that psychological considerations should have no place in logic. Second, Frege regards the judgementstroke—and the associated dissociation of assertoric force from content, of the act of judgement from the subject matter about which judgement is made—as a crucial part of his logic. Third, (...) Frege holds that judging is an inner mental process, and that the distinction marked by the judgement-stroke, between entertaining a thought and judging that it is true, is a psychological distinction. I argue that what initially looks like confusion here on Frege’s part appears quite reasonable when we remind ourselves of the differences between Frege’s conception of logic and our own. (shrink)

This article argues that the field of asset pricing theory is undergoing a scientific revolution in Kuhnian terms. The orthodox view is one of determinate change in causal processes and inherent stability whereby financial markets, left unfettered, allocate nearly perfectly society's scare capital. However, decades of mounting anomalous evidence against the implications of stable causal processes perpetuated by conventional models based on efficient markets and the rational expectations hypothesis have paved the way for alternative avenues of research. Although various approaches (...) are being developed, the imperfect knowledge economics class of models has emerged as a potential new paradigm in the field of macro-finance. By stopping short of fixing in advance the specification of individual forecasting behavior and the causal process, the IKE class of models has been able to reconcile many of the puzzles found within the literature on asset price behavior and risk. (shrink)

The storage hypothesis—as described by Norby—is a descriptive thesis (for it yields systematic predictions of human behaviour across a wide range of situations) that has as a core commitment that degrees of belief are stable, persistent states. It is not clear to me that such a view is widely held in philosophy. If the storage hypothesis is not widely held, then arguments against it become less interesting. But is Norby’s argument against the view compelling in any case? I shall argue (...) that it is not. (shrink)

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)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Eucharistic Form of God: Trinity, Incarnation, and Sacrament in the Theology of Hans Urs von Balthasar by Jonathan Martin CirauloNicholas J. HealyThe Eucharistic Form of God: Trinity, Incarnation, and Sacrament in the Theology of Hans Urs von Balthasar. By Jonathan Martin Ciraulo. Notre Dame, Ind.: University of Notre Dame Press, 2022. Pp. xiii + 297. $50.00 (hardcover). ISBN: 978-0-268-20223-1.In Fides et Ratio 93, under the heading “current (...) tasks for theology,” John Paul II writes:The chief purpose of theology is to provide an understanding of Revelation and the content of faith. The very heart of theological enquiry will thus be the contemplation of the mystery of the Triune God. The approach to this mystery begins with reflection upon the mystery of the Incarnation of the Son of God: his coming as man, his going to his Passion and Death.... From this vantage-point, the prime commitment of theology is seen to be the understanding of God’s kenosis, a grand and mysterious truth for the human mind, which finds it inconceivable that suffering and death can express a love which gives itself and seeks nothing in return. In this light, a careful analysis of texts emerges as a basic and urgent need: first the texts of Scripture, and then those which express the Church’s living Tradition. On this score, some problems have emerged in recent times, problems which are only partially new; and a coherent solution to them will not be found without philosophy’s contribution.These words about the mystery of Jesus Christ’s life and death as a revelation of the Triune God—and about the emergence of new difficulties and questions—underscore the importance of a dialogue between St. Thomas Aquinas and the great twentieth-century theologian Hans Urs von Balthasar. As two recent books written from a Thomistic perspective have shown (Aidan Nicholas, Balthasar for Thomists [San Francisco: Ignatius Press, 2020]); [End Page 715] Matthew Levering, The Achievement of Hans Urs von Balthasar [Washington, D.C.: The Catholic University of America Press, 2019]), Balthasar’s profound indebtedness to the metaphysics of Aquinas provides a solid foundation for dialogue. And yet a number of difficulties remain. What is the relationship between the so-called real distinction of esse and essence and the hypostatic union of two natures in the person of the Son? How and in what sense does the paschal mystery of Jesus’s death and Resurrection presuppose and express the mystery of the Father’s eternal generation of the Son? In the words of Joseph Ratzinger, “in the pierced heart of the Crucified, God’s own heart is opened up—here we see who God is and what he is like” (Spirit of the Liturgy [San Francisco: Ignatius Press, 2000], 48). How does the mystery of Christ’s Eucharist reveal the heart of God?This last question about the Eucharist and the nature of God is explored in depth in Jonathan Martin Ciraulo’s monograph, The Eucharistic Form of God: Hans Urs von Balthasar’s Sacramental Theology. Despite the expansive title, the primary aim of this book is fairly straightforward: to present Balthasar’s theology of the Eucharist and to show the significance of his thought for contemporary sacramental theology. Anyone who seeks to offer a systematic account of Balthasar’s theology of the Eucharist is confronted with at least two basic obstacles or challenges. First, his reflections on the Eucharist are scattered throughout (and often hidden within) an immense and complex corpus of writings. Second, the most distinctive feature of Balthasar’s theology of the Eucharist is the inseparability of his sacramental theology from his speculative account of the central mysteries of the Christian faith—Trinity, Incarnation, Cross and Resurrection, Church, and eschaton.The Eucharistic Form of God represents a thoughtful, well-written, and original response to this twofold challenge. Regarding the first point: Ciraulo demonstrates an intimate familiarity with the whole of Balthasar’s corpus. He draws together Balthasar’s early writings on German literature, his monographs on Origen, Gregory of Nyssa, and Maximus the Confessor, his engagement with Karl Barth, his interpretation of twentieth-century French Catholic literature... (shrink)

This article investigates and resolves the question whether gauge symmetry can display analogs of the famous Galileo’s ship scenario. In doing so, it builds on and clarifies the work of Greaves and Wallace on this subject.

To date no investigation has sought to interpret key themes in Aristotle’s writings on metaphysics, e.g., substance, potentiality, actuality, proximate cause, etc., within the context of a temporal logic or logic of events. Essentially, what follows is a programmatic effort to interpret aspects of Aristotle’s insights in Book Lambda of the Metaphysics in terms of recent advances in the development of a temporal logic, while being attentive to the sense of the original text as far as possible. The significance of (...) such an enterprise lies in unearthing and clarifying conceptual interconnections in Aristotle’s metaphysical writings which would be difficult to fathom through other means. This project, however exploratory in its present form, seems feasible partly because of the fact that at numerous points in Aristotle’s thesis process metaphors from the study of biology are strikingly evident. Also, there is additional justification for the suggested analysis in that his work involves repeated references to the “lived” activity of one’s inquiring into the nature of things. Thus a view of Aristotle’s pronouncements which presupposes a logic of events, where events are analysed pragmatically, i.e., in terms of a language-user and the extension of whatever is claimed to have occurred, is not alien to the mode of expression with which he presents his views. (shrink)

Postmodernism and poststructuralism challenge fundamental positions in social theory. This book sets out some of the components of a postmodern social theory of health and healing, deriving from theorists including Derrida, Deleuze and Guattari, Foucault, Cixous and Kristeva. Nicholas J. Fox observes that the knowledge of the medical profession about the body, illness and health supplies the basis for medical dominance. The body of the patient is inscribed by discourses of professional `care,' an interaction which subjectifies the patient. Fox (...) explores the character of this power - and how it may be, and is, resisted. The book illustrates with detailed examples how the organization of health care and the caring relationship itself are sites for this contestation of power. Elements of feminist theory, and Derridean concepts of diffrance and intertextuality, supply the framework for the politics and ethics of the postmodern position on health. Deleuze and Guattari's radical challenge to psychoanalysis and familial repetitions within the healer/patient contact allows a re-reading of central ideas in medical sociology. While focusing upon the possibilities of postmodern social theory, the book demands a reappraisal of issues of structure, identity and knowledge in modernist medical sociology. Modernist sociology, Fox suggests, has been complicit in the creation of `the patient,' and of 'health' and 'illness.' Written with an emphasis on accessibility, this book explores the practical consequences of postmodern theory as well as familiarizing the reader with the concepts of postmodernism. (shrink)

It's Game Time!: Games to Enhance Classroom Learning enables the teacher to decide when and how to use games to effectively complement their teaching philosophy and style to meet the needs of their students by providing over 40 games that can be used in any class at any level.

From Fine and Kamp in the 70’s—through Osherson and Smith in the 80’s, Williamson, Kamp and Partee in the 90’s and Keefe in the 00’s—up to Sauerland in the present decade, the objection continues to be run that fuzzy logic based theories of vagueness are incompatible with ordinary usage of compound propositions in the presence of borderline cases. These arguments against fuzzy theories have been rebutted several times but evidently not put to rest. I attempt to do so in this (...) paper. (shrink)

In this paper, I discuss one form of the idea that spacetime and gravity might ‘emerge’ from quantum theory, i.e. via a holographic duality, and in particular via AdS/CFT duality. I begin by giving a survey of the general notion of duality, as well as its connection to emergence. I then review the AdS/CFT duality and proceed to discuss emergence in this context. We will see that it is difficult to find compelling arguments for the emergence of full quantum gravity (...) from gauge theory via AdS/CFT, i.e. for the boundary theory's being metaphysically more fundamental than the bulk theory. (shrink)

In formal modelling, it is essential that models be supplied with an interpretative story: there must be a clear and coherent account of how the formal model relates to the phenomena it is supposed to model. The traditional representation of degrees of belief as mathematical probabilities comes with a clear and simple interpretative story. This paper argues that the model of degrees of belief as imprecise probabilities (sets of probabilities) lacks a workable interpretation. The standard interpretative story given in the (...) literature is shown to lead to unacceptable results -- and, it is argued, there is no way for imprecise probabilists to restrict, replace or finesse this story so as either to avoid or to be able to live with the consequences. Thus the imprecise probabilist lacks a viable account of how a set of probability functions models a belief state: a story about which properties of the model correspond to facts about the thing modelled and how exactly we are to extract information about an agent's belief state from a set of probabilities. (shrink)

This paper argues that the most famous objection to backward time travel can carry no weight. In its classic form, the objection is that backward time travel entails the occurrence of impossible things, such as auto-infanticide—and hence is itself impossible. David Lewis has rebutted the classic version of the objection: auto-infanticide is prevented by coincidences, such as time travellers slipping on banana peels as they attempt to murder their younger selves. I focus on Paul Horwich‘s more recent version of the (...) objection, according to which backward time travel entails not impossible things, but improbable ones—such as the string of slips on banana peels that would be required to stop a determined auto-infanticidal maniac from murdering her younger self—and hence is itself highly improbable. I argue that backward time travel does not entail unusual numbers of coincidences; and that, even if it did, that would not render its occurrence unlikely. (shrink)

When considering other persons, the human mind draws from folk theories of biology, physics, and psychology. Studies have examined the extent to which people utilize these folk theories in inferring whether or not God has human-like biological, physical, and psychological constraints. However, few studies have examined the way in which these folk attributions relate to each other, the extent to which attributions within a domain are consistent, or whether cultural factors influence human-like attributions within and across domains. The present study (...) assessed 341 individuals’ attributions of anthropomorphic properties to God in three domains (psychological, biological, and physical), their religious beliefs, and their engagement in religious practices. Three Confirmatory Factor Analyses tested hypothetical models of the underlying structure of an anthropomorphic concept of God. The best fitting model was the “Hierarchical Dimensions Concept,” the analyses indicated one overall dimension of anthropomorphism with three sub-domains. Additionally, participants’ religiosity was negatively related to attributing human-like psychological properties to God, suggesting that the more people engage with their religion, the less they think about God as having a ‘human-like’ mind. Religiosity was positively related to individual consistency scores in the biological domain. In other words, greater religiosity was related to less consistent answers about God’s biological properties. As a result, the findings of the current study also suggest that individuals do not just vary between each other in how much they anthropomorphize God, but additionally, variation exists in the type of anthropomorphic reasoning used within an individual person’s concept of God. (shrink)

Fear breeds mediocrity…. Some argue that fear is an inherent byproduct of any structure based on hierarchy. I can't swear that's true, but I suspect it is.

A requirement on any theory of vagueness is that it solve the sorites paradox. It is generally agreed that there are two aspects to such a solution: one task is to locate the error in the sorites argument; the second task is to explain why the sorites reasoning is a paradox rather than a simple mistake. I argue for a further constraint on approaches to the second task: they should conform to the standard modus operandi in formal semantics, in which (...) the semantic theory one develops is taken to be implicit in the ordinary usage of competent speakers. Thus it should not turn out that one's explanation of why ordinary speakers react to the sorites reasoning in the way they do depends on speakers not thinking that the semantics of vague language is governed by the theory one is advocating. I then argue that, out of the current main contenders for a theory of vagueness, only theories that posit degrees of truth can meet this further constraint. (shrink)

In an earlier paper I argued that time travellers cannot change the past: alleged models of changing the past either fall into contradiction or else involve avoiding, not changing, the past. Goddu has responded to my argument, maintaining that his hypertime model involves time travellers changing (not avoiding) the past. In the present paper I first discuss what would be required to substantiate the claim that a given model involves changing rather than avoiding the past. I then consider Goddu's hypertime (...) model and an earlier model due to Meiland. I argue that neither author does what would be required to substantiate the claim that the model involves changing (not avoiding) the past. I go on to give reasons for the stronger claim that no-one can present a coherent model and also substantiate the claim that it involves changing (not avoiding) the past. (shrink)

Orthodoxy has it that mereological composition can never be a vague matter, for if it were, then existence would sometimes be a vague matter too, and that's impossible. I accept that vague composition implies vague existence, but deny that either is impossible. In this paper I develop degree-theoretic versions of quantified modal logic and of mereology, and combine them in a framework that allows us to make clear sense of vague composition and vague existence, and the relationships between them.

The notion of 'freedom' is essential to America's view of itself as a democratic and individual-based society. In this philosophical dialogue, characters assess the many facets, implications and apparent contradictions inherent in this deceptively complex idea. Seventy-nine short segments provide food for thought even in stolen moments of reading pleasure. The book sparkles with intellectually stimulating views. Drawing on the tradition of the Platonic dialogue, 'On Freedom' explores what freedom is and what it means through the discussions of two characters (...) (Director and Friend). Topics include Slavery, Responsibility, Anarchy, Wealth, Love, Courage, Authority, Inhibition, Happiness, Discipline, Vigilance. The characters arrive at no simple or absolute definition of freedom. But that doesn't mean they don't finish with a better idea of what freedom is than when they started. If anything, they come to appreciate the need for clarity about their subject. And they come to see that such clarity necessarily involves complexity. Readers with no philosophical training can enjoy this book, while readers with a philosophy background can enjoy the way it treats an old, familiar theme with a lighter touch. Families will value 'On Freedom' for enabling younger readers, too, to explore philosophic ideas of general interest and importance. (shrink)

This entertaining discussion illustrates how to approach life decisions to get the most satisfaction out of their work and leisure. The themes include pleasure, pain, and the importance of choosing one's experiences in life. If you make good decisions, there's value in every day. And that's a pleasure!

On the verge of the one hundredth anniversary of the founding of the American Association of University Professors, we examine the organization’s focus on academic freedom, shared governance, and the challenges the AAUP faced during its early years. The history is a fairly uncontested one: higher education in the late nineteenth and early twentieth centuries in the United States was the context for the struggle over academic freedom and shared governance. Dismissed professors, resignations by colleagues, and the struggle of professionalization (...) characterize the period.1 A century later, we wonder about the state of academic freedom and shared governance. We argue that higher education is currently so.. (shrink)

The degrees of belief of rational agents should be guided by the evidence available to them. This paper takes as a starting point the view—argued elsewhere—that the formal model best able to capture this idea is one that represents degrees of belief using Dempster–Shafer belief functions. However degrees of belief should not only respect evidence: they also guide decision and action. Whatever formal model of degrees of belief we adopt, we need a decision theory that works with it: that takes (...) as input degrees of belief so represented. The task of this paper is to develop such a decision theory for the belief function model of degrees of belief. This is not the first paper to attempt that task, but compared to the existing literature it takes a more abstract route to its destination, via a consideration of the very idea of rational decision making in light of one’s beliefs and desires. After presenting the new decision theory and comparing it to existing views, the paper goes on to consider diachronic decision situations. (shrink)

This paper presents a new theory of vagueness, which is designed to retain the virtues of the fuzzy theory, while avoiding the problem of higher-order vagueness. The theory presented here accommodates the idea that for any statement S₁ to the effect that 'Bob is bald' is x true, for x in [0, 1], there should be a further statement S₂ which tells us how true S₁ is, and so on - that is, it accommodates higher-order vagueness without resorting to the (...) claim that the metalanguage in which the semantics of vagueness is presented is itself vague, and without requiring us to abandon the idea that the logic - as opposed to the semantics - of vague discourse is classical. I model the extension of a vague predicate P as a blurry set, this being a function which assigns a degree of membership or degree function to each object o, where a degree function in turn assigns an element of [0, 1] to each finite sequence of elements of [0, 1]. The idea is that the assignment to the sequence (0.3, 0.2), for example, represents the degree to which it is true to say that it is 0.2 true that o is P to degree 0.3. The philosophical merits of my theory are discussed in detail, and the theory is compared with other extensions and generalisations of fuzzy logic in the literature. (shrink)