Douglas Macdowell, one of the most distinguished students of Greek oratory, law and comedy of the late twentieth and early twenty-first centuries, was for 30 years Professor of Greek at Glasgow University. He was elected a Fellow of the British Academy in 1993 and was also a Fellow of the Royal Society of Edinburgh. Obituary by Chris Carey.

The first strophe opens with a wish and a syntactical problem:εἴ μοι ξυνείη φέροντι μοῖρα τὰν εὔσεπτον ἁγνείαν λόγων ἔργων τε πάντων,…The sentence is often interpreted as though φέροντι were φέρειν: ‘may it be my destiny to possess’. However, for this meaning the infinitive is clearly required; there is no valid parallel for the use of the participle supposed here. Burton offers: ‘may a share of life be my companion provided that I win or possess purity’; purity is a precondition (...) for life. This interpretation is possible but improbable, for the use of μοῖρα as a synonym for βίος would be obscure in this context. It is altogether easier to interpret with Kamerbeek: ‘would that Destiny were with me when I ’; the chorus hopes for the favour of fate, provided that this is earned by purity of word and deed. The hope thus embraces an intention to avoid all impurity of word or action. Against this interpretation it has been objected that μοῖρα is a constant presence, not a helpful power which might desert. However, συνεῖναι is attested with the sense ‘favour’ ; and the notion that fate may favour individuals or groups is attested. (shrink)

Many studies have argued for distinct but complementary contributions from each hemisphere in the control of movements to visual targets. Investigators have attempted to extend observations from patients with unilateral left- and right-hemisphere damage, to those using neurologically-intact participants, by assuming that each hand has privileged access to the contralateral hemisphere. Previous attempts to illustrate right hemispheric contributions to the control of aiming have focussed on increasing the spatial demands of an aiming task, to attenuate the typical right hand advantages, (...) to try to enhance a left hand reaction time advantage in right-handed participants. These early attempts have not been successful. The present study circumnavigates some of the theoretical and methodological difficulties of some of the earlier experiments, by using three different tasks linked directly to specialized functions of the right hemisphere: bisecting, the gap effect, and visuospatial localization. None of these tasks were effective in reducing the magnitude of left hand reaction time advantages in right handers. Results are discussed in terms of alternatives to right hemispheric functional explanations of the effect, the one-dimensional nature of our target arrays, power and precision given the size of the left hand RT effect, and the utility of examining the proportions of participants who show these effects, rather than exclusive reliance on measures of central tendency and their associated null hypothesis significance tests. (shrink)

Little is known about distance processing in patients with posterior brain damage. Although many investigators have claimed that distance estimates are normal or abnormal in some of these patients, many of these observations were made informally and the examiners often asked for relative, and not absolute, distance estimates. The present investigation served two purposes. First, we wanted to contrast the use of distance information in peripersonal space for perceptual report as opposed to visuomotor control in our visual form agnosic patient, (...) DF. Second, we wanted to see to what extent her abilities to process distance cues were dependent on binocular vision, in light of Milner et al.'s (1991) observations of preserved stereopsis in DF, and Dijkerman et al.'s (1996) and Marotta et al.'s (1997) observations that her visual guidance of grasping may be particularly dependent on binocular vision of the target. We hypothesized that DF's visuomotor responses would show normal sensitivity to target distance, while her perceptual estimates would not. In the first experiment, we required DF and two age- and sex-matched control subjects to reach out and grasp black cubes placed at varying distances, or to estimate the distance of the cubes from the hand starting position without making a reaching movement. In the second experiment, we required DF and two age-matched control subjects to point as rapidly and accurately as possible to small LED targets which differed in spatial location, under binocular and monocular conditions. The results showed that, relative to the control subjects, DF's grasping movements produced normal peak velocity-distance scaling-when she reached for blocks which varied in depth or pointed to LED targets which were presented at different distances in depth. In contrast, in the cube experiment, her verbal estimates of object distance were poorly scaled, although they improved slightly under the binocular conditions. The results are discussed in terms of current theories of processing streams in extrastriate visual cortex and the distinction between categorical and coordinate spatial processing. (shrink)

The cortical visual mechanisms involved in processing spatial relationships remain subject to debate. According to one current view, the ''dorsal stream'' of visual areas, emanating from primary visual cortex and culminating in the posterior parietal cortex, mediates this aspect of visual processing. More recently, others have argued that while the dorsal stream provides egocentric coding of visual location for motor control, the separate ''ventral'' stream is needed for allocentric spatial coding. We have assessed the visual form agnosic patient DF, whose (...) lesion mainly affects the ventral stream, on a prehension task requiring allocentric spatial coding. She was presented with transparent circular disks. Each disk had circular holes cut in it. DF was asked to reach out and grasp the disk by placing her fingers through the holes. The disks either had three holes (for forefinger, middle finger, and thumb) or two holes (for forefinger and thumb). The distance between the forefinger and thumb holes, and the orientation of the line formed by them, were independently varied. DF was quite unable to adjust her grip aperture or her hand orientation in the three-hole task. Although she was able to orient her hand appropriately for the two-hole disks, she still remained unable to adjust her grip aperture to the distance between the holes. These findings are consistent with the idea that allocentric processing of spatial information requires a functioning ventral stream, even when the information is being used to guide a motor response. (shrink)

One of the leading approaches to the nature of sensory pleasure reduces it to desire: roughly, a sensation qualifies as a sensation of pleasure just in case its subject wants to be feeling it. This approach is, in my view, correct, but it has never been formulated quite right; and it needs to be defended against some compelling arguments. Thus the purpose of this paper is to discover the most defensible formulation of this rough idea, and to defend it against (...) the most interesting objections. (shrink)

The desire-satisfaction theory of welfare says, roughly, that one's life goes well to the extent that one's desires are satisfied. On standard 'actualist' versions of the theory, it doesn't matter what you desire. So long as you are getting what you actually want – whatever it is – things are going well for you. There is widespread agreement that these standard versions are incorrect, because we can desire things that are bad for us -– in other words, because there are (...) 'defective desires'. The aim of this paper is to defend the actualist desire-satisfaction theory against the problem of defective desires. I aim to show how the theory can accommodate the obvious fact that we can desire things that are bad for us. Admittedly, there are kinds of allegedly defective desire the theory cannot accommodate, but these desires, I argue, turn out not to be defective in the relevant way. (shrink)

The primary aim of this book is to understand how seemings relate to justification and whether some version of dogmatism or phenomenal conservatism can be sustained. It also addresses a number of other issues, including the nature of seemings, cognitive penetration, Bayesianism, and the epistemology of morality and disagreement.

It is natural to think that many of our beliefs are rational because they are based on seemings, or on the way things seem. This is especially clear in the case of perception. Many of our mathematical, moral, and memory beliefs also appear to be based on seemings. In each of these cases, it is natural to think that our beliefs are not only based on a seeming, but also that they are rationally based on these seemings—at least assuming there (...) is no relevant counterevidence. This piece is an introduction to a volume dedicated to the question of what the connection is between seemings and justified belief: under what conditions, if any, can a seeming justify its content? (shrink)

: Discussions of ethical approaches in nursing have been much enlivened in recent years, for instance by new developments in the theory of care. Nevertheless, many ethical concepts in nursing still need to be clarified. The purpose of this contribution is to develop a fundamental ethical view on nursing care considered as moral practice. Three main components are analyzed more deeply--i.e., the caring relationship, caring behavior as the integration of virtue and expert activity, and "good care" as the ultimate goal (...) of nursing practice. For the development of this philosophical-ethical interpretation of nursing, we have mainly drawn on the pioneering work of Anne Bishop and John Scudder, Alasdair MacIntyre, Lawrence Blum, and Louis Janssens. We will also show that the European philosophical background offers some original ideas for this endeavor. (shrink)

In a recent series of publications, dynamicist researchers have proposed a new conception of cognitive functioning. This conception is intended to replace the currently dominant theories of connectionism and symbolicism. The dynamicist approach to cognitive modeling employs concepts developed in the mathematical field of dynamical systems theory. They claim that cognitive models should be embedded, low-dimensional, complex, described by coupled differential equations, and non-representational. In this paper I begin with a short description of the dynamicist project and its role as (...) a cognitive theory. Subsequently, I determine the theoretical commitments of dynamicists, critically examine those commitments and discuss current examples of dynamicist models. In conclusion, I determine dynamicism's relation to symbolicism and connectionism and find that the dynamicist goal to establish a new paradigm has yet to be realized. (shrink)

I propose the first strictly compositional semantic account of same. New data, including especially NP-internal uses such as two men with the same name, suggests that same in its basic use is a quantificational element taking scope over nominals. Given type-lifting as a generally available mechanism, I show that this follows naturally from the fact that same is an adjective. Independently-motivated assumptions extend the analysis to standard examples such as Anna and Bill read the same book via a mechanism I (...) call PARASITIC SCOPE, in which the scope of same depends on the scope of some other scopetaking element in the sentence. Although I will initially discuss the analysis in terms of a familiar Quantifier Raising framework, I go on to implement the analysis within an innovative continuation-based Type-Logical Grammar. The empirical payoff for dealing in continuations is that a simple generalization of the basic analysis gives the first ever formal account of cases in which same distributes over objects other than NP denotations, as in the relevant interpretation of John hit and killed the same man. (shrink)

We will give a simple philosophical "proof" of the negation of Cantor's continuum hypothesis (CH). (A formal proof for or against CH from the axioms of ZFC is impossible; see Cohen [1].) We will assume the axioms of ZFC together with intuitively clear axioms which are based on some intuition of Stuart Davidson and an old theorem of Sierpinski and are justified by the symmetry in a thought experiment throwing darts at the real number line. We will in fact show (...) why there must be an infinity of cardinalities between the integers and the reals. We will also show why Martin's Axiom must be false, and we will prove the extension of Fubini's Theorem for Lebesgue measure where joint measurability is not assumed. Following the philosophy--if you reject CH you are only two steps away from rejecting the axiom of choice (AC)--we will point out along the way some extensions of our intuition which contradict AC. (shrink)

Over the last 20 years the comparator model for delusions of control has received considerable support in terms of empirical studies. However, the original version clearly needs to be replaced by a model with a much greater degree of sophistication and specificity. Future developments are likely to involve the specification of the role of dopamine in the model and a generalisation of its explanatory power to the whole range of positive symptoms. However, we will still need to explain why symptoms (...) can be so variable and we still do not understand the origin of the most mysterious symptom of all: thought insertion. (shrink)

Observers who note the increasing popularity of bioethics discussions often complain that the social sciences are poorly represented in discussions about things like abortion and stem-cell research. Critics say that bioethicists should be incorporating the methods and findings of social scientists, and should move towards making the discipline more empirically oriented. This way, critics argue, bioethics will remain relevant, and truly reflect the needs of actual people. Such recommendations ignore the diversity of viewpoints in bioethics, however. Bioethics can gain much (...) from the methods and findings from ethnographies and similar research. But it is misleading to suggest that bioethicists are unaware of this potential benefit. Not only that, bioethicists are justified in having doubts about the utility of the social science approach in some cases. This is not because there is some inherent superiority in non-empirical approaches to moral argument. Rather, the doubts concern the nature of the facts that the sciences would provide. Perhaps the larger point is that disagreements about the relationship between facts and normative arguments should be seen as part of the normal inquiry in bioethics, not evidence that reform is needed. (shrink)

Patients with delusions of control are abnormally aware of the sensory consequences of their actions and have difficulty with on-line corrections of movement. As a result they do not feel in control of their movements. At the same time they are strongly aware of the action being intentional. This leads them to believe that their actions are being controlled by an external agent. In contrast, the normal mark of the self in action is that we have very little experience of (...) it. Most of the time we are not aware of the sensory consequences of our actions or of the various subtle corrections that we make during the course of goal-directed actions. We know that we are agents and that we are successfully causing the world to change. But as actors we move through the world like shadows glimpsed only occasional from the corner of an eye. (shrink)

It is a common idea that morality, or moral truths, if there are any, must have some sort of source, or grounding. It has also been claimed that constructivist theories in metaethics have an advantage over realist theories in that the former but not the latter can provide such a grounding. This paper has two goals. First, it attempts to show that constructivism does not in fact provide a complete grounding for morality, and so is on a par with realism (...) in this respect. Second, it explains why it seems that morality in fact couldn't have a source. (shrink)

The consensus is that musical works and other ‘multiple’ artworks are abstract objects of some sort. According to the standard objections to musical materialism, multiple artworks cannot be identified with any concrete manifestation since concrete manifestations are many, and one thing cannot be identical to many. Multiple artworks are particularly good, while particular concrete manifestations are particularly bad, at surviving the destruction of particular concrete manifestations. Finally, multiple artworks cannot be identified with a particular sum of concrete manifestations since sums (...) and works differ modally. This paper aims to show that by appealing to recent work on the metaphysics of material objects, musical materialists avoid the standard objections. (shrink)

In this paper, we examine critically the notion of “Triple Bottom Line” accounting. We begin by asking just what it is that supporters of the Triple Bottom Line idea advocate, and attempt to distil specific, assessable claims from the vague, diverse, and sometimescontradictory uses of the Triple Bottom Line rhetoric. We then use these claims as a basis upon which to argue (a) that what issound about the idea of a Triple Bottom Line is not novel, and (b) that what (...) is novel about the idea is not sound. We argue on bothconceptual and practical grounds that the Triple Bottom Line is an unhelpful addition to current discussions of corporate social responsibility. Finally, we argue that the Triple Bottom Line paradigm cannot be rescued simply by attenuating its claims: the rhetoric isbadly misleading, and may in fact provide a smokescreen behind which firms can avoid truly effective social and environmental reporting and performance. (shrink)

Ethics is a foundational competency in healthcare inherent in everyday nursing practice. Therefore, the promotion of qualified nurses’ and nursing students’ moral competence is essential to ensure ethically high-quality and sustainable healthcare. The aim of this integrative literature review is to identify the factors contributing to the promotion of qualified nurses’ and nursing students’ moral competence. The review has been registered in PROSPERO (CRD42023386947) and reported according to the PRISMA guideline. Focusing on qualified nurses’ and nursing students’ moral competence, a (...) literature search was undertaken in January 2023 in six scientific databases: CINAHL, Cochrane Library, PsycINFO, PubMed Medline, Scopus and Web of Science. Empirical studies written in English without time limitation were eligible for inclusion. A total of 29 full texts were retrieved and included out of 5233 citations. Quality appraisal was employed using Joanna Briggs Institute checklists and the Mixed Method Appraisal Tool. Data were analysed using inductive content analysis. Research about the factors contributing to the promotion of qualified nurses’ and nursing students’ moral competence is limited and mainly explored using descriptive research designs. The contributing factors were identified as comprising two main categories: (1) human factors, consisting of four categories: individual, social, managerial and professional factors, and ten sub-categories; and (2) structural factors, consisting of four categories: educational, environmental, organisational and societal factors, and eight sub-categories. This review provides knowledge about the factors contributing to the promotion of qualified nurses’ and nursing students’ moral competence for the use of researchers, nurse educators, managers, organisations and policymakers. More research about the contributing factors is needed using complex intervention, implementation and multiple methods designs to ensure ethically sustainable healthcare. (shrink)

: This essay critiques Chad Hansen’s "mass noun hypothesis," arguing that though most Classical Chinese nouns do function as mass nouns, this fact does not support the claim that pre-Qin thinkers treat the extensions of common nouns as mereological wholes, nor does it explain why they adopt nominalist semantic theories. The essay shows that early texts explain the use of common nouns by appeal to similarity relations, not mereological relations. However, it further argues that some early texts do characterize the (...) relation between individuals and collections as a mereological relation. (shrink)

A short encyclopedia entry on the issue of whether the value of a whole is equal to the sum of the values of its parts.

This paper explores how fair trade social enterprises manage paradoxes in stakeholder-oriented governance models. We use narrative accounts from board members, at governance events and board documents to report an exploratory study of paradoxes in three FTSEs which are partly farmer-owned. Having synthesized the key social enterprise governance literature and framed it alongside the broader paradox theory, we used narratives to explore how tensions are articulated, how they can be applied within an adapted paradox framework, and how governance actors seek (...) to mitigate paradoxes. The paper contributes to current debates in social enterprise scholarship concerning hybridity :455–476, 2010; in Institutional logics in action, Part B, 2012), hybrid organizing :397–441, 2014) and operational tensions :407–442, 2013) by illustrating empirically how the central social/enterprise paradox manifests in FTSEs governance arrangements. We build on the paradox categories proposed by Lüscher and Lewis :221–240, 2008) and adapted in Smith et al. :407–442, 2013) by developing a recursive model of legitimacy-seeking governance processes, conceptualizing how boards seek to mitigate, but not necessarily resolve, paradoxes. (shrink)

The phenomenon of technological hazards, whose existence is only revealed many years after they were initially produced, shows that the question of our responsibilities toward future generations is of urgent importance. However, the nature of technological societies means that they are caught in a condition of structural irresponsibility: the tools they use to know the future cannot encompass the temporal reach of their actions. This article explores how dominant legal and moral concepts are equally deficient for helping us understand what (...) future-oriented responsibility requires. An alternative understanding of responsibility is needed, one which can be developed from phenomenological and feminist concepts of care. Care, by opening up for us an understanding of the diversity of values that are constitutive of a worthwhile life, also connects us to the future as the future of care. As such, it provides us with ethical resources that can guide us in the face of uncertainty. (shrink)

The Higgs mechanism is an essential but elusive component of the Standard Model of particle physics. Without it Yang‐Mills gauge theories would have been little more than a warm‐up exercise in the attempt to quantize gravity rather than serving as the basis for the Standard Model. This article focuses on two problems related to the Higgs mechanism clearly posed in Earman’s recent papers (Earman 2003, 2004a, 2004b): what is the gauge‐invariant content of the Higgs mechanism, and what does it mean (...) to break a local gauge symmetry? (shrink)

Drawing primarily on the Mòzǐ and Xúnzǐ, the article proposes an account of how knowledge and error are understood in classical Chinese epistemology and applies it to explain the absence of a skeptical argument from illusion in early Chinese thought. Arguments from illusion are associated with a representational conception of mind and knowledge, which allows the possibility of a comprehensive or persistent gap between appearance and reality. By contrast, early Chinese thinkers understand mind and knowledge primarily in terms of competence (...) or ability, not representation. Cognitive error amounts to a form of incompetence. Error is not explained as a failure to accurately represent the mind-independent reality due to misleading or illusory appearances. Instead, it can be explained metaphorically by appeal to part-whole relations: cognitive error typically occurs when agents incompetently respond to only part of their situation, rather than the whole. (shrink)

I argue that dynamicism does not provide a convincing alternative to currently available cognitive theories. First, I show that the attractor dynamics of dynamicist models are inadequate for accounting for high-level cognition. Second, I argue that dynamicist arguments for the rejection of computation and representation are unsound in light of recent empirical findings. This new evidence provides a basis for questioning the importance of continuity to cognitive function, challenging a central commitment of dynamicism. Coupled with a defense of current connectionist (...) theory, these two critiques lead to the conclusion that dynamicists have failed to achieve their goal of providing a new paradigm for understanding cognition. (shrink)

To whom is egalitarian justice owed? Our fellow citizens, or all of humankind? If the latter, what form might a global brand of egalitarianism take? This paper examines some recent debates about the justification, and content, of global egalitarian justice. It provides an account of some keenly argued controversies about the scope of egalitarian justice, between those who would restrict it to the level of the state and those who would extend it more widely. It also notes the cross-cutting distinction (...) between relationists (whose views on scope are derived from a belief about which relations, practices or institutions give rise to the demands of equality) and non-relationists (who place no such importance on empirical facts about the relations between individuals). Beyond this, it sets out some of the different principles that might flow from a commitment to global egalitarianism. One of the key goals is to highlight the increasing diversity within debates on global justice, so that even those with a shared commitment to global equality may espouse different views about the justifications for equality, as well as the nature of, and proper sites for, egalitarian principles. (shrink)

It will always remain a remarkable phenomenon in the history of philosophy, that there was a time, when even mathematicians, who at the same time were philosophers, began to doubt, not of the accuracy of their geometrical propositions so far as they concerned space, but of their objective validity and the applicability of this concept itself, and of all its corollaries, to nature. They showed much concern whether a line in nature might not consist of physical points, and consequently that (...) true space in the object might consist of simple [discrete] parts, while the space which the geometer has in his mind [being continuous] cannot be such. (shrink)

108 Lefebvre (2005:109). 109 Lefebvre (2005: 110,87). 110 Lefebvre (2005: 110) . 111 Lefebvre(1991b: 371¥2) (emphasis in original). 112 Lefebvre(1991b: 372); Lefebvre (1970: 20). 113 Lefebvre(1991b: 372) (emphasis in original).

This splendid book is a collection of twenty-three of John Cooper’s papers on Greek ethical philosophy: seven are on Socrates and Plato, twelve are on Aristotle and four are on the Hellenistics; nineteen have appeared elsewhere, two are newly written essays incorporating previously published material, and two are new essays written for this volume. Many of these papers are justly regarded as classics of contemporary scholarship and some of them are located in out of the way journals or volumes: we (...) thus have the usual reasons for being grateful that they are at last collected together in one place. But more important, bringing these papers together has synergistic effects: we see Cooper returning to related issues in different contexts and elaborating the scope and depth of his analyses. (shrink)

The ethics of the Zhuāngzi is distinctive for its valorization of psychological qualities such as open-mindedness, adaptability, and tolerance. The paper discusses how these qualities and their consequences for morality and politics relate to the text’s views onskepticism and value. Chad Hansen has argued that Zhuangist ethical views are motivated by skepticism about our ability to know a privileged scheme of action-guiding distinctions, which in turn is grounded in a form of relativism about such distinctions. Against this, Icontend that the (...) Zhuāngzi’s skepticism and its ethical stance jointly rest on a metaethical view of value as inherently plural, perspectival, heterogeneous, and contingent. This view provides grounds for moral consideration toward others and for political liberalism. It also explains how the psychological qualities valorized in the Zhuāngzi contribute to the value of our individual lives, by showing what their absence costs us. (shrink)

Some hold that musical works are fusions of, or coincide with, their performances. But if performances contain wrong notes, won't works inherit that property? We say ‘no’.

The properties of Turing’s famous ‘universal machine’ has long sustained functionalist intuitions about the nature of cognition. Here, I show that there is a logical problem with standard functionalist arguments for multiple realizability. These arguments rely essentially on Turing’s powerful insights regarding computation. In addressing a possible reply to this criticism, I further argue that functionalism is not a useful approach for understanding what it is to have a mind. In particular, I show that the difficulties involved in distinguishing implementation (...) from function make multiple realizability claims untestable and uninformative. As a result, I conclude that the role of Turing machines in philosophy of mind needs to be reconsidered. (shrink)

In this book, Chris W. Surprenant puts forward an original position concerning Kant’s practical philosophy and the intersection between his moral and political philosophy. Although Kant provides a detailed account of the nature of morality, the nature of human virtue, and how right manifests itself in civil society, he does not explain fully how individuals are able to become virtuous. This book aims to resolve this problem by showing how an individual is able to cultivate virtue, the aim of (...) Kant’s practical philosophy. Through an examination of Kant’s accounts of autonomy, the state, and religion, and their effects on the cultivation of virtue, Surprenant develops a Kantian framework for moral education, and ultimately raises the question of whether or not Kantian virtue is possible in practice. (shrink)

Current research on corporate social responsibility (CSR) illustrates the growing sense of discord surrounding the ‘business of doing good’ (Dobers and Springett, Corp Soc Responsib Environ Manage 17(2):63–69, 2010). Central to these concerns is that CSR risks becoming an over-simplified and peripheral part of corporate strategy. Rather than transforming the dominant corporate discourse, it is argued that CSR and related concepts are limited to “emancipatory rhetoric…defined by narrow business interests and serve to curtail interests of external stakeholders.” (Banerjee, Crit Sociol (...) 34(1):52, 2008). The paper addresses gaps in the literature and challenges current thinking on corporate governance and CSR by offering a new conceptual framework that responds to the concerns of researchers and practitioners. The limited focus of existing analyses is extended by a holistic approach to corporate governance and social responsibility that integrates company, shareholder and wider stakeholder concerns. A defensive stance is avoided by delineating key stages of the governance process and aligning profit centred and social responsibility concerns to produce a business-based rationale for minimising risk and mainstreaming CSR. (shrink)

Many recent attacks on consequentialism and several defenses of pluralism have relied on arguments for the incommensurability of value. Such arguments have, generally, turned on empirical appeals to aspects of our everyday experience of value conflict. My intention, largely, is to bypass these arguments and turn instead to a discussion of the conceptual apparatus needed to make the claim that values are incommensurable. After delineating what it would mean for values to be incommensurable, I give an a priori argument that (...) such is impossible. It is widely accepted that value is conceptually tied to desire. I argue that, more specifically, it is proportional to merited desire strength. This connection gives one a metric of all value if there is any such thing. This metric entails that value is a complete ordering over all states of affairs, or, in other words, that value is commensurable. (shrink)