Draft for Wolfe and Symons (ed.), History and Philosophy of Materialism. This chapter looks at the discussion of materialism in John Locke’s Essay concerning Human Understanding, and then at parts of the Anglophone reaction to those discussions. It considers the early criticisms of Locke by Edward Stillingfleet and the anonymous author of three sets of Remarks on Locke’s Essay. It then looks at some other ways in which readers reacted to Locke’s discussions: the views of Anthony Collins and (...) John Toland, which one might be tempted to think of as Lockean materialism; William Carroll’s reading of Locke as a Spinozistic materialist; and the dualistic Lockeanism of William Duncan’s Lockean logic textbook. (shrink)

Modal dimensionalism is realism about spaces, times and worlds—metaphysical indices that make objects spatial, temporal and modal, respectively, and that play the role of alethic relativizers, i.e. items to which matters of truth are relativized. This paper examines several arguments against MD and shows that MD offers a feasible way to understand modal discourse.

Moral duties are regularly attributed to groups. Does this make conceptual sense or is this merely political rhetoric? And what are the implications for these individuals within groups? Collins outlines a Tripartite Model of group duties that can target political demands at the right entities, in the right way and for the right reasons.

According to modal realism formulated by David Lewis, there exist concrete possible worlds. As he argues the hypothesis is serviceable and that is a sufficient reason to think it is true. On the other side, Lewis does not consider the pragmatic reasons to be conclusive. He admits that the theoretical benefits of modal realism can be illusory or that the acceptance of controversial ontology for the sake of theoretical benefits might be misguided in the first place. In the first part (...) of the paper, I consider the worry and conclude that although the worry is justified, there can be an epistemological justification for his theory. Next, I outline the so-called indispensability argument for the legitimacy of mathematical Platonism. Finally, I argue that the argument, if accepted, can be applied to metaphysics in general, to the arguing for the existence of concrete (im)possibilia in particular. (shrink)

The paper outlines and immediately discusses the so-called ‘soft’ impossibility, i.e., non-logical impossibility generated by modal realism. It will be shown that although in a particular case genuine modal realism, straightforwardly applied, deems impossible a proposition that other philosophers have claimed to be (intuitively) possible, there is a variety of methodologically acceptable moves available in order to avoid the problem. The impossibility at issue is the existence of island universes. Given the Lewisian analysis there are three points at which we (...) might try to square genuine modal realism with such a controversial and problematic claim of (im)possibility, namely: a) the contraction of our pre-theoretical opinions about possibility, b) the revision of some Lewisian definitions and/or c) the extension of our ontological commitments. I shall look at each of these approaches applied to the problematic case. (shrink)

The paper deals with such a modification of genuine modal realism as to accommodate impossible worlds into its ontology. First of all, the theory of modal realism is presented. Next, several motivations for the acceptance of impossible worlds are adduced. Furthermore, Lewis’s argument against impossible worlds is denied. Then, it is argued that the same methodology as in the case of possible worlds can be used when impossibilia are at issue. Finally, the theory of extended modal realism is formulated.

In “A Tension in the Strong Program: The Relation between the Rational and the Social”, Shahram Shahryari (2021) advances the following thesis: In his Strong Program in the sociology of science, David Bloor blames traditional philosophy of science for adopting a dualist strategy in explaining scientific developments, as it employs rational explanation for successful science and social explanation for flawed science. Instead, according to Bloor, all scientific developments should be explained monistically, i.e. in terms of social causes. This is also (...) referred to as the Symmetry Principle, and it is a key tenet in the Strong Program. The author detects a tension here, as Bloor apparently asserts that traditional philosophy of science deploys two kinds of explanation, and simultaneously insists that there is only one kind, i.e. social explanation. (shrink)

Stephen Law developed a challenge to theism, known as the evil-god challenge (Law (2010) ). The evil-god challenge to theism is to explain why the theist’s responses to the problem of evil are any better than the diabolist’s – who believes in a supremely evil god – rejoinders to the problem of good, when all the theist’s ploys (theodicy, sceptical theism, etc.) can be parodied by the diabolist. In the first part of this article, I extend the evil-god challenge by (...) showing that additional theist replies to the problem of evil (more theodicies, the privation view of evil, and others) also may be appropriated, with just as much plausibility, in support of the diabolist position. In the second part of the article, I defend the evil-god challenge against several objections. (shrink)

The foundational principles of representative democracy are under attack globally. What we desperately need are enlightened and persuasive public intellectuals who can help us see through the fog of our fear, anger, and disillusionment, to find our rational political commitments again. One of these public intellectuals is undoubtedly Yuval Noah Harari, the bestselling author of three recent books – Sapiens, Homo Deus, and 21 Lessons for the 21st Century. Harari is also a frequent contributor in the popular press, and a (...) guest on shows, podcasts, panels, and as a keynote speaker. Add to all this that Harari is acting on his lofty academic ideals through ‘Sapienship’, a multidisciplinary organization he cofounded that advocates for global responsibility, clarifies the global conversation, and focuses attention on the most important global challenges. I single out Harari because I presume many readers will be familiar with his work. He is certainly one of the fastest rising stars of public intellectualism. Unfortunately, his work is undercut by the philosophical positions he put forth in his first bestselling book, Sapiens. In this review/critique I wish to show that in order for Harari advance a coherent political or ideological argument, he must first shore up his philosophical commitments. (shrink)

This paper investigates agents’ blameworthiness when they are part of a group that does harm. We analyse three factors that affect the scope of an agent’s blameworthiness in these cases: shared intentionality, interpersonal influence, and common knowledge. Each factor involves circumstantial luck. The more each factor is present, the greater is the scope of each agent’s vicarious blameworthiness for the other agents’ contributions to the harm. We then consider an agent’s degree of blameworthiness, as distinct from her scope of blameworthiness. (...) We suggest that an agent mostly controls her degree of blameworthiness—but even here, luck constrains what possible degrees of blameworthiness are open to her. (shrink)

ABSTRACT:Organismal superposition holds that the same individual both is and is not an organism, as a consequence of organismal pluralism. When coupled with the assumption that death is the cessation of an organism, this entails that there is no unique answer as to whether brain death is biological death. This essay argues that concerns about organismal pluralism and superposition do not undermine a theory of biological death, nor entail any metaphysical indeterminacy about the biological vital status of a brain-dead individual.

In his article, “The Strong Program and Asymmetrical Explanation of the History of Science: A Reply to Collin” (Shahryari 2022b), Shahram Shahryari responds to my comments (in Collin 2022) upon his original article, “A Tension in the Strong Program: The Relation between the Rational and the Social” (Shahryari 2022a). I believe that in this new contribution, Shahryari changes the subject as compared to our original discussion. Hence, before I comment upon his recent contribution, I want to recapitulate briefly the content (...) of that discussion. (shrink)

In this paper, we focus on the moral responsibility of organized groups in light of historicism. Historicism is the view that any morally responsible agent must satisfy certain historical conditions, such as not having been manipulated. We set out four examples involving morally responsible organized groups that pose problems for existing accounts of historicism. We then pose a trilemma: one can reject group responsibility, reject historicism, or revise historicism. We pursue the third option. We formulate a Manipulation Condition and a (...) Guarding Condition as addendums to historicism that are necessary to accommodate our cases of group responsibility. (shrink)

Plausibly, only moral agents can bear action-demanding duties. This places constraints on which groups can bear action-demanding duties: only groups with sufficient structure—call them ‘collectives’—have the necessary agency. Moreover, if duties imply ability then moral agents (of both the individual and collectives varieties) can bear duties only over actions they are able to perform. It is thus doubtful that individual agents can bear duties to perform actions that only a collective could perform. This appears to leave us at a loss (...) when assigning duties in circumstances where only a collective could perform some morally desirable action and no collective exists. But, I argue, we are not at a loss. This article outlines a new way of assigning duties over collective acts when there is no collective. Specifically, we should assign collectivisation duties to individuals. These are individual duties to take steps towards forming a collective, which then incurs a duty over the action. I give criteria for when individuals have collectivisation duties and discuss the demands these duties place on their bearers. (shrink)

The ethics of care has flourished in recent decades yet we remain without a succinct statement of its core theoretical commitment. This book uses the methods of analytic philosophy to argue for a simple care ethical slogan: dependency relationships generate responsibilities. It uses this slogan to unify, specify and justify the wide range of views found within the care ethical literature.

Modal epistemologists parse modal conditions on knowledge in terms of metaphysical possibilities or ways the world might have been. This is problematic. Understanding modal conditions on knowledge this way has made modal epistemology, as currently worked out, unable to account for epistemic luck in the case of necessary truths, and unable to characterise widely discussed issues such as the problem of religious diversity and the perceived epistemological problem with knowledge of abstract objects. Moreover, there is reason to think that this (...) is a congenital defect of orthodox modal epistemology. This way of characterising modal epistemology is however optional. It is shown that one can non-circularly characterise modal conditions on knowledge in terms of epistemic possibilities, or ways the world might be for the target agent. Characterising the anti-luck condition in terms of epistemic possibilities removes the impediment to understanding epistemic luck in the case of necessary truths and opens the door to using these conditions to shed new light on some longstanding epistemological problems. (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)

A collective duty gap arises when a group has caused harm that requires remedying but no member did harm that can justify the imposition of individual remedial duties. Examples range from airplane crashes to climate change. How might collective duty gaps be filled? This paper starts by examining two promising proposals for filling them. Both proposals are found inadequate. Thus, while gap-filling duties can be defended against objections from unfairness and demandingness, we need a substantive justification for their existence. I (...) argue that substantive justification can be found in the normative force of commitments individuals make to others with regard to ends. Along the way, I argue that gap-filling duties must be conceptualized differently in group agents, as compared to non-agent groups: in the former, gap-filling duties can be understood as duties to “take up the slack”; in the latter, this would be a category error. (shrink)

The dead donor rule justifies current practice in organ procurement for transplantation and states that organ donors must be dead prior to donation. The majority of organ donors are diagnosed as having suffered brain death and hence are declared dead by neurological criteria. However, a significant amount of unrest in both the philosophical and the medical literature has surfaced since this practice began forty years ago. I argue that, first, declaring death by neurological criteria is both unreliable and unjustified but (...) further, the ethical principles which themselves justify the dead donor rule are better served by abandoning that rule and instead allowing individuals who have suffered severe and irreversible brain damage to become organ donors, even though they are not yet dead and even though the removal of their organs would be the proximal cause of death. (shrink)

Individuals have various kinds of obligations: keep promises, don’t cause harm, return benefits received from injustices, be partial to loved ones, help the needy and so on. How does this work for group agents? There are two questions here. The first is whether groups can bear the same kinds of obligations as individuals. The second is whether groups’ pro tanto obligations plug into what they all-things-considered ought to do to the same degree that individuals’ pro tanto obligations plug into what (...) they all-things-considered ought to do. We argue for parity on both counts. (shrink)

Individuals sometimes pass their duties on to collectives, which is one way in which collectives can come to have duties. The collective discharges its duties by acting through its members, which involves distributing duties back out to individuals. Individuals put duties in and get (transformed) duties out. In this paper we consider whether (and if so, to what extent) this general account can make sense of states' duties. Do some of the duties we typically take states to have come from (...) individuals having passed on certain individual duties? There are complications: states can discharge their duties by contracting fulfilment out to non-members; states seem able to dissolve the duties of non-members; and some of states' duties are not derived in this way. We demonstrate that these complicate, but do not undermine, the general account and its application to states. And the application has an interesting upshot: by asking which individuals robustly participate in this process of duty transfer-and-transformation with a given state, we can begin to get a grip on who counts as a member of that state. (shrink)

This is an encyclopedia article about epistemic closure principles. The article explains what they are, their various philosophical uses, how they are argued for or against, and provides an overview of the related literature.

A standard objection to socioeconomic human rights is that they are not claimable as human rights: their correlative duties are not owed to each human, independently of specific institutional arrangements, in an enforceable manner. I consider recent responses to this ‘claimability objection,’ and argue that none succeeds. There are no human rights to socioeconomic goods. But all is not lost: there are, I suggest, human rights to ‘socioeconomic consideration’. I propose a detailed structure for these rights and their correlative duties, (...) while remaining neutral on substantive moral debates. I argue that socioeconomic-consideration human rights are satisfactorily claimable and sufficiently practical. (shrink)

In order for states to fulfil (many of) their moral obligations, costs must be passed to individuals. This paper asks how these costs should be distributed. I advocate the common-sense answer: the distribution of costs should, insofar as possible, track the reasons behind the state’s duty. This answer faces a number of problems, which I attempt to solve.

This short article provides an overview of "care ethics" for students who are new to moral theory.

This article examines the prisoner's dilemma paradox and argues that confessing is the rational choice, despite this probably entailing a less-than-ideal outcome.

In his Edifying Discourses, Soren Kierkegaard published a sermon entitled ‘The Unchangeableness of God’ in which he reiterated the dogma which dominated Catholic, Protestant and even Jewish expressions of classical supernaturalist theology from the first century A.D. until the advent of process theology in the twentieth century. The dogma that as a perfect being, God must be totally unchanging in every conceivable respect was expressed by Kierkegaard in such ways as: He changes all, Himself unchanged. When everything seems stable and (...) in the overturn of all things, He remains equally unchanged; no change touches Him, not even the shadow of a change; in unaltered clearness He, the father of lights, remained eternally unchanged. 1. (shrink)

Newcomb’s problem is a decision puzzle whose difficulty and interest stem from the fact that the possible outcomes are probabilistically dependent on, yet causally independent of, the agent’s options. The problem is named for its inventor, the physicist William Newcomb, but first appeared in print in a 1969 paper by Robert Nozick [12]. Closely related to, though less well-known than, the Prisoners’ Dilemma, it has been the subject of intense debate in the philosophical literature. After three decades, the issues remain (...) unresolved. Newcomb’s problem is of genuine importance because it poses a challenge to the theoretical adequacy of orthodox Bayesian decision theory. It has led both to the development of causal decision theory and to efforts aimed at defending the adequacy of the orthodox theory. (shrink)

In this chapter, Mary Collins Swabey critiques G. E. Moore's discussion of sense data.

Knowledge entails the truth of the proposition known; that which is merely believed may be false. If I have beliefs about your beliefs, then I may believe that some of your beliefs are false. I may believe, for example, that you mistakenly believe that it is now raining outside. This is a coherent belief for me, though not for you. You cannot coherently believe that you believe falsely that it is raining, and this despite the fact that your having that (...) false belief is clearly a logical possibility. The proposition is, for you, a kind of doxastic blindspot. (shrink)

Gender is both indeterminate and multifaceted: many individuals do not fit neatly into accepted gender categories, and a vast number of characteristics are relevant to determining a person's gender. This article demonstrates how these two features, taken together, enable gender to be modeled as a multidimensional sorites paradox. After discussing the diverse terminology used to describe gender, I extend Helen Daly's research into sex classifications in the Olympics and show how varying testosterone levels can be represented using a sorites argument. (...) The most appropriate way of addressing the paradox that results, I propose, is to employ fuzzy logic. I then move beyond physiological characteristics and consider how gender portrayals in reality television shows align with Judith Butler's notion of performativity, thereby revealing gender to be composed of numerous criteria. Following this, I explore how various elements of gender can each be modeled as individual sorites paradoxes such that the overall concept forms a multidimensional paradox. Resolving this dilemma through fuzzy logic provides a novel framework for interpreting gender membership. (shrink)

Imprecise probabilities are often modelled with representors, or sets of probability functions. In the recent literature, two ways of interpreting representors have emerged as especially prominent: vagueness interpretations, according to which each probability function in the set represents how the agent's beliefs would be if any vagueness were precisified away; and comparativist interpretations, according to which the set represents those comparative confidence relations that are common to all probability functions therein. I argue that these interpretations have some important limitations. I (...) also propose an alternative—the functional interpretation—according to which representors are best interpreted by reference to the roles they play in the theories that make use of them. (shrink)

According to the preference-centric approach to understanding partial belief, the connection between partial beliefs and preferences is key to understanding what partial beliefs are and how they’re measured. As Ramsey put it, the ‘degree of a belief is a causal property of it, which we can express vaguely as the extent to which we are prepared to act on it’ The Foundations of Mathematics and Other Logical Essays, Routledge, Oxon, pp 156–198, 1931). But this idea is not as popular as (...) it once was. Nowadays, the preference-centric approach is frequently dismissed out-of-hand as behaviouristic, unpalatably anti-realist, and/or prone to devastating counterexamples. Cases like Eriksson and Hájek’s :183–213, 2007) preferenceless Zen monk and Christensen’s :356–376, 2001) other roles argument have suggested to many that any account of partial belief that ties them too closely to preferences is irretrievably flawed. In this paper I provide a defence of preference-centric accounts of partial belief. (shrink)

Moral naturalists are often said to have trouble making sense of inter-communal moral disagreements. The culprit is typically thought to be the naturalist’s metasemantics and its implications for sameness of meaning across communities. The most familiar incarnation of this metasemantic challenge is the Moral Twin Earth argument. We address the challenge from the perspective of analytic naturalism, and argue that making sense of inter-communal moral disagreement creates no special issues for this view.

Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...) and bridges the gap between them. We have three aims: to scrutinize Michael Tye’s transparency theory :137–151, 2002; Consciousness revisited: materialism without phenomenal concepts, MIT Press, Cambridge, 2009; Philos Stud 170:39–57, 2014a), introduce a new transparency theory, and advance a meta-theoretical hypothesis about the interest, and import, of transparency theories. (shrink)

A counterfactual is a conditional statement in the subjunctive mood. For example: If Suzy hadn’t thrown the rock, then the bottle wouldn’t have shattered. The philosophical importance of counterfactuals stems from the fact that they seem to be closely connected to the concept of causation. Thus it seems that the truth of the above conditional is just what is required for Suzy’s throw to count as a cause of the bottle’s shattering. If philosophers were reluctant to exploit this idea prior (...) to 1970, it was because of a widespread feeling that the truth-conditions of the counterfactual conditional were not sufficiently well understood. The development of a formal semantics for counterfactuals by Robert Stalnaker [1968] and David Lewis [1973b] stands as a major recent achievement in philosophical logic. (shrink)

In this paper, new evidence is presented for the assumption that the reason-relation reading of indicative conditionals ('if A, then C') reflects a conventional implicature. In four experiments, it is investigated whether relevance effects found for the probability assessment of indicative conditionals (Skovgaard-Olsen, Singmann, and Klauer, 2016a) can be classified as being produced by a) a conversational implicature, b) a (probabilistic) presupposition failure, or c) a conventional implicature. After considering several alternative hypotheses and the accumulating evidence from other studies as (...) well, we conclude that the evidence is most consistent with the Relevance Effect being the outcome of a conventional implicature. This finding indicates that the reason-relation reading is part of the semantic content of indicative conditionals, albeit not part of their primary truth-conditional content. (shrink)

Disparities in educational outcomes between Māori and non-Māori students remain a pressing concern in New Zealand. Recent policy documents framed through notions of 'effectiveness' champion culturally responsive pedagogies (CRPs) to address the achievement gap in mainstream secondary schools. Here, I interrogate this claim through close analysis of the Te Kotahitanga project led by Russell Bishop which, despite extensive government support, including a $42 million investment to restart the initiative, has limited conceptual and empirical grounding. I then consider broader understandings of (...) effectiveness that might better capture the benefits of CRPs but argue, drawing on social realist criticism, that some practices may paradoxically lead to poorer educational experiences for many Māori students by restricting access to disciplinary knowledge. I conclude that CRPs have variable effectiveness and are unlikely – on their own, at least – to greatly improve educational outcomes for Māori. (shrink)

Curriculum integration is frequently promoted as a means of enabling deeper and more authentic learning, with Mathematics often considered a suitable subject for doing so. This review investigates which elements contribute to the effectiveness of Mathematics integration in secondary education. Teacher factors include attitudes towards integrative practices and knowledge of both disciplinary content and curriculum integration theory. Pedagogy factors concern utilising activities that best synthesise concepts from multiple subjects to enhance learning, especially projects. Institutional factors relate to curriculum and assessment (...) requirements as well as school-level variables such as access to planning time and professional development. Limitations in the research literature include a narrow focus on connecting Mathematics with scientific disciplines, a reliance on qualitative methods and small sample sizes, and unknown generalisability to education systems other than those in which studies were conducted. Even so, attempting to navigate the factors involved in effective curriculum integration with Mathematics appears worthwhile. (shrink)

When a liberal-democratic state signs a treaty or wages a war, does its whole polity do those things? In this article, we approach this question via the recent social ontological literature on collective agency. We provide arguments that it does and that it does not. The arguments are presented via three considerations: the polity's control over what the state does; the polity's unity; and the influence of individual polity members. We suggest that the answer to our question differs for different (...) liberal-democratic states and depends on two underlying considerations: the amount of discretion held by the state's officeholders; the extent to which the democratic procedure is deliberative rather than aggregative. (shrink)

This paper identifies three positions on the relationship between language and experience, the third of which I was not acquainted with before from my reading. It seems absurd.

Is autonomy – governing yourself – compatible with letting yourself be governed by trust? This paper argues that autonomy is not only compatible with appropriate trust but actually requires it. Autonomy requires appropriate trust because it is undermined by inappropriate mistrust. An autonomous agent treats herself as answerable for her action-guiding commitments, where answerability requires openness to the rational influence of external, critical perspectives on those commitments. This openness to correction makes one vulnerable to manipulation and can be exploited in (...) ways that undermine autonomy instead of supporting it. We argue that autonomy is undermined by inappropriate trust, and that the inappropriateness lies in the agent’s failure to manifest appropriate responsiveness to evidence of untrustworthiness in the one trusted. The problem isn’t that autonomy requires dispensing with trust but that trust must itself be governed by appropriate responsiveness to evidence of untrustworthiness. Our view confronts two challenges. One challenge lies in explaining why you shouldn’t treat your vulnerability to manipulation as a general reason to let your trusting disposition lapse into an untrusting one. We argue that there is no such general reason to let your responsiveness to evidence of untrustworthiness be supplanted by a suspicious disposition to seek and require positive evidence of trustworthiness. A second, and deeper, challenge arises from the fact that in some especially sophisticated cases of manipulation there is no evidence of untrustworthiness to which you could respond. We argue that you cannot rationally cope with even this unresolvable risk of exploited trust by trusting only yourself. (shrink)

A review of some major topics of debate in normative decision theory from circa 2007 to 2019. Topics discussed include the ongoing debate between causal and evidential decision theory, decision instability, risk-weighted expected utility theory, decision-making with incomplete preferences, and decision-making with imprecise credences.

Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...) relies on. (shrink)

ABSTRACT According to comparativism, comparative confidence is more fundamental than absolute confidence. In two recent AJP papers, Stefánsson has argued that comparativism is capable of explaining interpersonal confidence comparisons. In this paper, I will argue that Stefansson’s proposed explanation is inadequate; that we have good reasons to think that comparativism cannot handle interpersonal comparisons; and that the best explanation of interpersonal comparisons requires thinking about confidence in a fundamentally different way than that which comparativists propose: specifically, we should think of (...) confidence as a dimensionless quantity. (shrink)

In this reply to an article of Toni Erskine's, I argue that coalitions of the willing are moral agents. They can therefore bear responsibility in their own right.

This article argues that resolutions to the sorites paradox offered by epistemic and supervaluation theories fail to adequately account for vagueness. After explaining the paradox, I examine the epistemic theory defended by Timothy Williamson and discuss objections to his semantic argument for vague terms having precise boundaries. I then consider Rosanna Keefe's supervaluationist approach and explain why it fails to accommodate the problem of higher-order vagueness. I conclude by discussing how fuzzy logic may hold the key to resolving the sorites (...) paradox without positing indefensible borders to the correct application of vague terms. (shrink)