By exhibiting a violation of a novel form of the Bell-CHSH inequality, \.{Z}ukowski has recently established that the quantum correlations exploited in the standard perfect teleportation protocol cannot be recovered by any local hidden variables model. Allowing the quantum channel state in the protocol to be given by any density operator of two spin-1/2 particles, we show that a violation of a generalized form of \.{Z}ukowski's teleportation inequality can only occur if the channel state, considered by itself, violates a Bell-CHSH (...) inequality. On the other hand, although it is sufficient for a teleportation process to have a nonclassical fidelity---defined as a fidelity exceeding $2/3$---that the channel state employed violate a Bell-CHSH inequality, we show that such a violation does \emph{not} imply a violation of \.{Z}ukowski's teleportation inequality or any of its generalizations. The implication does hold, however, if the fidelity of the teleportation exceeds $2/3(1+1/2\sqrt{2})\approx .90$, suggesting the existence of a regime of nonclassical values of the fidelity, less than $.90$, for which the standard teleportation protocol can be modelled by local hidden variables. (shrink)

Creativity: Theory, History, Practice offers important new perspectives on creativity in the light of contemporary critical theory and cultural history. Innovative in approach as well as argument, the book crosses disciplinary boundaries and builds new bridges between the critical and the creative. It is organized in four parts: · Why creativity now? offers much-needed alternatives to both the Romantic stereotype of the creator as individual genius and the tendency of the modern creative industries to treat everything as a commodity. · (...) Defining creativity, creating definitions traces the changing meaning of "create" from religious ideas of divine creation from nothing to advertising notions of concept creation. It also examines the complex history and extraordinary versatility of terms such as imagination, invention, inspiration and originality. · Creation as myth, story, metaphor begins with modern re-telling of early African, American and Australian creation myths and -picking up Biblical and evolutionary accounts along the way - works round to scientific visions of the Big Bang, bubble universes and cosmic soup. · Creative practices, cultural processes is a critical anthology of materials, chosen to promote fresh thinking about everything from changing constructions of "literature" and "design" to artificial intelligence and genetic engineering. Rob Pope takes significant steps forward in the process of rethinking a vexed yet vital concept, all the while encouraging and equipping readers to continue the process in their own creative or "re-creative" ways. Creativity: Theory, History, Practice is invaluable for anyone with a live interest in exploring what creativity has been, is currently, and yet may be. (shrink)

In the first work of investigative journalism in decades to give a comprehensive view into contemporary psychiatric incarceration and forced interventions, Your Consent Is Not Required exposes how rising numbers of people from many walks of life are being subjected against their will to surveillance, indefinite detention, and powerful tranquilizing drugs, restraints, seclusion, and electroshock.

This article examines how the availability of Big Data, coupled with new data analytics, challenges established epistemologies across the sciences, social sciences and humanities, and assesses the extent to which they are engendering paradigm shifts across multiple disciplines. In particular, it critically explores new forms of empiricism that declare ‘the end of theory’, the creation of data-driven rather than knowledge-driven science, and the development of digital humanities and computational social sciences that propose radically different ways to make sense of culture, (...) history, economy and society. It is argued that: Big Data and new data analytics are disruptive innovations which are reconfiguring in many instances how research is conducted; and there is an urgent need for wider critical reflection within the academy on the epistemological implications of the unfolding data revolution, a task that has barely begun to be tackled despite the rapid changes in research practices presently taking place. After critically reviewing emerging epistemological positions, it is contended that a potentially fruitful approach would be the development of a situated, reflexive and contextually nuanced epistemology. (shrink)

This article is about a sidebar in James Gibson's last book, The ecological approach to visual perception. In this sidebar, Gibson, the founder of the ecological perspective of perception and action, argued that to perceive an affordance is not to classify an object. Although this sidebar has received scant attention, it is of great significance both historically and for recent discussions about specificity, direct perception, and the functions of the dorsal and ventral streams. It is argued that Gibson's acknowledgment of (...) Wittgenstein's ideas of classification suggests a limited scope of his theory of direct perception?it cannot account for the classification of objects. The implications for both the specification debate and theorizing about the brain's dorsal and ventral pathways are explored. Based on a recent ecological conception of information and direct perception, we ultimately argue that both affordance perception and classification are direct. (shrink)

Some conspicuous characteristics of argumentation as we all know this phenomenon from our shared everyday experiences are in my view vital to its theoretical treatment because they should have methodological consequences for the way in which argumentation research is conducted. To start with, argumentation is in the first place a communicative act complex, which is realized by making functional verbal communicative moves.

We show that three fundamental information-theoretic constraints -- the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the information contained in an unknown physical state, and the impossibility of unconditionally secure bit commitment -- suffice to entail that the observables and state space of a physical theory are quantum-mechanical. We demonstrate the converse derivation in part, and consider the implications of alternative answers to a remaining open question about (...) nonlocality and bit commitment. (shrink)

Some people (e.g., Drs. Paul and Susan Lim) and, with them, organizations (e.g., the National Embryo Donation Center) believe that, morally speaking, the death of a frozen human embryo is a very bad thing. With such people and organizations in mind, the question to be addressed here is as follows: if one believes that the death of a frozen embryo is a very bad thing, ought, morally speaking, one prevent the death of at least one frozen embryo via embryo adoption? (...) By way of a three‐premise argument, one of which is a moral principle first introduced by Peter Singer, my answer to this question is: at least some of those who believe this ought to. (Just who the “some” are is identified in the paper.) If this is correct, then, for said people, preventing the death of a frozen embryo via embryo adoption is not a morally neutral matter; it is, instead, a morally laden one. Specifically, their intentional refusal to prevent the death of a frozen embryo via embryo adoption is, at a minimum, morally criticizable and, arguably, morally forbidden. Either way, it is, to one extent or another, a moral failing. (shrink)

Although the academic interest in ethical mutual fund performance has developed steadily, the evidence to date is mainly sample-specific. To tackle this critique, new research should extend to unexplored countries. Using this as a motivation, we examine the performance and risk sensitivities of Canadian ethical mutual funds vis-à-vis their conventional peers. In order to overcome the methodological deficiencies most prior papers suffered from, we use performance measurement approaches in the spirit of Carhart (1997, Journal of Finance 52(1): 57–82) and Ferson (...) and Schadt (1996, Journal of Finance 51(2): 425–461). In doing so, we investigate the aggregated performance and investment style of ethical and conventional mutual funds and allow for time variation in the funds’ systematic risk. Our␣Canadian evidence supports the conjecture that any␣performance differential between ethical mutual funds and their conventional peers is statistically insignificant. (shrink)

In an essay on performance-enhancing drugs, author Chuck Klosterman (2007) argues that the category of enhancers extends from hallucinogens used to inspire music to steroids used to strengthen athletes—and he criticizes those who would excuse one means of enhancement while railing against the other as a form of cheating: After the summer of 1964, the Beatles started taking serious drugs, and those drugs altered their musical performance. Though it may not have been their overt intent, the Beatles took performance-enhancing drugs. (...) And . . . absolutely no one holds it against them. No one views “Rubber Soul” and “Revolver” as “less authentic” albums, despite the fact that they would not (and probably could .. (shrink)

Robert Boyd*†, Herbert Gintis‡, Samuel Bowles§, and Peter J. Richerson¶.

According to the theory of intrinsic value and moral standing called the ‘substance view,’ what makes it prima facie seriously wrong to kill adult human beings, human infants, and even human fetuses is the possession of the essential property of the basic capacity for rational moral agency – a capacity for rational moral agency in root form and thereby not remotely exercisable. In this critique, I cover three distinct reductio charges directed at the substance view's conclusion that human fetuses have (...) the same intrinsic value and moral standing as adult human beings. After giving consideration to defenders of the substance view's replies to these charges, I then critique each of them, ultimately concluding that none is successful. Of course, in order to understand all of these things – the reductio charges, defenders of the substance view's replies to them, and my criticisms of their replies – one must have a better understanding of the substance view as well as its defense. Accordingly, I address the substance view's understanding of rational moral agency as well as present its defense. (shrink)

A flourishing literature assesses how sustainable business models create and capture value in socio-ecological systems. Nevertheless, we still know relatively little about how the organization of sustainable business models—of which cross-sector partnerships represent a core and distinctive mechanism—can support socio-ecological resilience. We address this knowledge gap by taking a complex adaptive systems (CAS) perspective. We develop a framework that identifies the key strategic, institutional, and learning elements of partnerships that sustainable business models rely on to support socio-ecological resilience. With our (...) analytical framework, we underpin the importance of assessing sustainable business initiatives in terms of their impact on resilience at the level of socio-ecological systems, not just of organizations. Therefore, we reveal how cross-sector partnerships provide the organizational support for sustainable business models to support socio-ecological resilience. By combining the key features of CAS and the key elements of partnerships, we provide insight into the formidable task of designing cross-sector partnerships so that they support socio-ecological resilience and avoid unintended consequences. (shrink)

Combining methods in social scientific research has recently gained momentum through a research strand called Mixed Methods Research. This approach, which explicitly aims to offer a framework for combining methods, has rapidly spread through the social and behavioural sciences, and this article offers an analysis of the approach from a field theoretical perspective. After a brief outline of the MMR program, we ask how its recent rise can be understood. We then delve deeper into some of the specific elements that (...) constitute the MMR approach, and we engage critically with the assumptions that underlay this particular conception of using multiple methods. We conclude by offering an alternative view regarding methods and method use. (shrink)

In an increasingly complex world with increasingly powerful organisations it seems inevitable that society – or groups in society – would become anxious about whether these organisations could be encouraged to match that power with an appropriate responsibility. This is the function of accountability – to require individuals and organisations to present an account of those actions for which society holds them – or would wish to hold them – responsible. And the history of social accounting, at its most fundamental, (...) is a history of attempts to develop this accountability. It seems to me that the widespread and systematic practice of social and environmental accounting is a deeply essential element in any well‐functioning, complex democracy. The corollary is that the absence of such mechanisms raises fundamental questions about the nature of modern democracies. This article briefly outlines what I believe to be the three strands of social accounting. It then identifies a few of the lessons that we may be able to learn from current experience and, in particular, how social accounting is related to accountability, democracy and sustainability. The central issue of the tension between accountability and control is touched upon: I then illustrate how the stakeholder model can be used to help define the social account, and conclude with a few words on attestation. (shrink)

In my articles ‘The Substance View: A Critique’ and ‘The Substance View: A Critique,’ I raise objections to the substance view, a theory of intrinsic value and moral standing defended by a number of contemporary moral philosophers, including Robert P. George, Patrick Lee, Christopher Tollefsen, and Francis Beckwith. In part one of my critique of the substance view, I raise reductio-style objections to the substance view's conclusion that the standard human fetus has the same intrinsic value and moral standing as (...) the standard adult human being, among other human beings. In part two, I raise objections to some of the premises invoked in support of that conclusion. Here, in part three, I raise objections to Henrik Friberg-Fernros's attempt to rebut some of the aforementioned objections. (shrink)

If culture is defined as variation acquired and maintained by social learning, then culture is common in nature. However, cumulative cultural evolution resulting in behaviors that no individual could invent on their own is limited to humans, song birds, and perhaps chimpanzees. Circumstantial evidence suggests that cumulative cultural evolution requires the capacity for observational learning. Here, we analyze two models the evolution of psychological capacities that allow cumulative cultural evolution. Both models suggest that the conditions which allow the evolution of (...) such capacities when rare are much more stringent than the conditions which allow the maintenance of the capacities when common. This result follows from the fact that the assumed benefit of the capacities, cumulative cultural adaptation, cannot occur when the capacities are rare. These results suggest why such capacities may be rare in nature. (shrink)

untangled and ordered in a theoretical framework focusing on evaluations doing no harm, tackling bad and doing good. Divided into four parts a diverse group of subject experts present a practical look at ethics, utilizing practical experience to analyze how ethics have been applied in evaluations, and how new approaches can shape the future of ethics. The chapters collectively create a common understanding of the potential role of ethics to infuse policy decisions and stakeholder initiatives with evaluations that provide better (...) insight and potential solutions for problems, going beyond "what works" to what needs to be done and what would help. The methodological scope ranges from working in contexts of fragility, conflict and violence, to participatory and decolonised approaches, including the ethical imperatives posed by global crises such as climate change, inequity and exploitative international relations. Ethics for Evaluation presents evaluators, commissioners of evaluation, policy makers and practitioners with inspiration for an ethical perspective on how evaluation can contribute towards solving problems. It presents a solid foundation for inclusive terminology and ethics guidance that would be the heart of a global exercise in professionalization of ethical evaluation practice. (shrink)

The relevance to decision research of recent advances in the philosophy of social science is considered. The critical realism of Roy Bhaskar argues for the identification of contextually contingent explanatory mechanisms at multiple levels based on concepts grounded in intersubjectively shared reality. Using examples from the author’s and other’s research on the psychology of decisions involving risk and uncertainty, this paper explores the implications of taking a critical realist approach. It is argued that critical realism has the potential to advance (...) and unify disparate experimental and naturalistic lines of research. Furthermore, a diverse range of experimental, process-tracing and observational methods can play important complementary roles in developing fruitful critical realist explanations of decisions involving risk and uncertainty. (shrink)

Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of inequivalent quantizations of a classical field theory, i.e., inequivalent representations of the algebra of observables of the field in terms of operators on a Hilbert space. The threat is that each representation embodies its own distinctive conception of what a (...) particle is, and how a "particle" will respond to a suitably operated detector. Our main goal is to clarify the subtle relationship between inequivalent representations of a field theory and their associated particle concepts. We also have a particular interest in the Minkowski versus Rindler quantizations of a free Boson field, because they respectively entail two radically different descriptions of the particle content of the field in the *very same* region of spacetime. We shall defend the idea that these representations provide *complementary descriptions* of the same state of the field against the claim that they embody completely *incommensurable theories* of the field. (shrink)

This article argues against the view put forward by Margaret Archer that there is an irreconcilable divide between realist social theory and structuration theory. Instead, it argues for the systematic articulation of the two theories at both the ontological and the methodological levels. Each has developed a range of insightful and commensurable conceptualizations either missing or underdeveloped in the other. Archer's contention that structuration theory rejects the notion of `analytical dualism' central to the realist approach is shown to be mistaken; (...) Giddens's rejection of `dualism' refers to a different conceptualization of the term. Similarly, Archer's critique of structuration's notion of a `duality' involving structure and agency is rejected by showing that Archer's own morphogenetic approach itself relies upon such a notion. A final section distinguishes between six key problematics of social analysis. It is clear that, for a large number of possible questions within the majority of these problematics, it is a combination of both ontologies that would facilitate the most adequate substantive account. (shrink)

In his paper, “Should the Numbers Count?" John Taurek imagines that we are in a position such that we can either save a group of five people, or we can save one individual, David. We cannot save David and the five. This is because they each require a life-saving drug. However, David needs all of the drug if he is to survive, while the other five need only a fifth each.Typically, people have argued as if there was a choice to (...) be made: either numbers matter, in which case we should save the greater number, or numbers don't matter, but rather there is moral value in giving each person an equal chance of survival, and therefore we should toss a coin. My claim is that we do not have to make a choice in this way. Rather, numbers do matter, but it doesn't follow that we should always save the greater number. And likewise, there is moral value in giving each person an equal chance of survival, but it doesn't follow that we should always toss a coin. (shrink)

Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's ability to (...) perform operations on a field in one spacetime region that can disentangle its state from the state of the field in other spacelike-separated regions. These limitations show just how deeply entrenched entanglement is in relativistic quantum field theory, and yield a fresh perspective on the ways in which the theory differs conceptually from both standard non-relativistic quantum theory and classical relativistic field theory. (shrink)

'Shades of Goodness' is aimed at readers interested in moral theories, and particularly those wishing to construct or defend a moral theory.

In my initial critique of the substance view, I raised reductio-style objections to the substance view's conclusion that the standard human fetus has the same intrinsic value and moral standing as the standard adult human being, among others. In this follow-up critique, I raise objections to some of the premises invoked in support of this conclusion. I begin by briefly presenting the substance view as well as its defense. (For a more thorough presentation, see the first part of my critique.) (...) I then raise objections to three claims involved in the substance view's defense: the claim that the standard human fetus's intrinsic value and moral standing is a function of its potentiality; the claim that the standard human fetus's intrinsic value and moral standing is a function of its essential properties; and the claim that it is the possession of the basic potential for rational moral agency that best accounts for the wrongness of killing the standard human fetus, among others. (shrink)

This paper develops and explores a pedagogical innovation for integrating virtue theory into business students' basicunderstanding of general management. Eighty-seven students, in 20 groups, classified three managers' real-time videotaped activitiesaccording to an elaboration of Aristotle's cardinal virtues, Fayol's management functions, and Mintzberg's managerial roles. The study's empirical evidence suggests that, akin to Fayol's functions and Mintzberg's roles, Aristotle's virtues are also amenable to operationalization, reliable observation, and meaningful description of managerial behavior. The study provides an oft-called-for empirical basis for further (...) work in virtue theory as an appropriate conceptual framework for the study and practice of management. The results indicate that virtue theory may be used to re-conceive our fundamental understanding of management, alongside its capacity to weigh moral judgment upon it. implications and suggestions for future research are discussed. (shrink)

Maxims play a crucial role in Kant's ethical philosophy, but there is significant disagreement about what maxims are. In this two-part essay, I survey eight different views of Kantian maxims, presenting their strengths, and their weaknesses. Part I: Established Approaches, begins with Rüdiger Bubner's view that Kant took maxims to be what ordinary people of today take them to be, namely pithily expressed precepts of morality or prudence. Next comes the position, most associated with Rüdiger Bittner and Otfried Höffe, that (...) maxims are Lebensregeln, or 'life-rules'– quite general rules for how to conduct oneself based on equally general outlooks on how the world is. These first two interpretations make sense of Kant's claim, made in his anthropological and pedagogical writings, that we have to learn how to act on maxims, but they become less plausible in light of Kant's probable view that people always act on maxims – after all, how can people learn how to act on something they always act on anyway? The next two views, each advanced, at different times, by Onora O'Neill, make better sense of the fact that people always act on maxims, for they hold that maxims are intentions – either specific intentions, such as 'to open the door', or general intentions, such as 'to make guests feel welcome'– and it is perfectly sensible to claim that people always act on intentions. However, they face the same problem as the two previous views, which is that if people always act on maxims, what sense does it make to say they also have to learn how to act on them? Henry Allison, the main representative of the fifth view, claims, on the basis of Kant's doctrine of the 'highest maxim', that maxims are principles organized hierarchically, such that an agent endorses one maxim because she endorses a more general maxim. Unfortunately for Allison, there is little direct textual support for his claim that maxims are organized hierarchically. (shrink)

The study of organizational ethics continues to be the focus of significant academic attention, however it is a discourse that remains largely informed by a form of morality that is perhaps best described as ordered and cognitive. Traditional approaches to questions of organizational ethics emphasize a fundamentally static view of organizations and the people within them, reinforcing notions of mind/body dualism and reifying ethics as an outcome of human agency, choice, and deliberate intention (see MacKay and Chia). We challenge this (...) approach and instead argue in favor of ethics research that adopts an ontology grounded in process metaphysics. Escaping the confines of Cartesian dualism, we reconceptualize organizational ethics as something that is in fact not held constant, is not a static termination point or an outcome of events, but is rather an input into the continually reconstituting context of the organization over time (see Langley, et al.). The process ethics we articulate provides a grounding for moral critique in diverse communities that is not undermined by relativism. Moreover, it provides guidance to managers and employees facing moral problems without forcing them to face a tyranny of principles. We consider how a process ethics would be enacted in organizations through managerial decision-making and in the treatment of employees. (shrink)

Many debates in the philosophy of religion, particularly arguments for and against the existence of God, depend on a claim or set of claims about what God—qua sovereign, omnipotent, omniscient, and perfectly good being— would do , either directly or indirectly, in particular cases or in general. Accordingly, before these debates can be resolved we must first settle the more fundamental issue of whether we can know, or at least have justified belief about, what God would do. In this paper, (...) I lay out the possible positions on the issue of whether we can know what God would do, positions I refer to as Broad Skeptical Theism, Broad Epistemic Theism, and Narrow Skeptical Theism. I then examine the implications of each of these views and argue that each presents serious problems for theism. (shrink)

This article discusses studies and politicalinitiatives concerned with enhancing publicinvolvement in major technological decisions.It argues that such decisions should include asignificant role for the mass media, andrespect for the diverse relations betweenscience and governance. The notion of`regulated worlds' is proposed as a startingpoint in a discourse that brings together themass media, science management, anddeliberative democracy.

This paper draws on nearly two decades of research on health consumer and patients’ organizations in the United Kingdom. In particular, it addresses questions of representation and legitimacy in the health policy process. HCPOs claim to represent the collective interests of patients and others such as relatives and carers. At times they also make claims to represent the wider public interest. Employing Pitkin’s classic typology of formalistic, descriptive, symbolic, and substantive representation, the paper explores how and in what sense HCPOs (...) represent their constituencies. We found that policymakers themselves are less concerned with formal mechanisms adopted by groups and are more concerned with credibility, in particular whether HCPOs carry the confidence of their constituents. While some concerns about legitimacy remain, particularly in relation to funding from commercial interests, we argue that HCPOs bring a unique perspective to the policy process and to focus purely on formalistic representation provides only a partial understanding of their representative role and a constrained view of their collective moral claims. (shrink)

Proposed ways of governing climate engineering have most often been supported by narrowly framed and unreflexive appraisals and processes. This article explores the governance implications of a Deliberative Mapping project that, unlike other governance principles, have emerged from an extensive process of reflection and reflexivity. In turn, the project has made significant advances in addressing the current deficit of responsibly defined criteria for shaping governance propositions. Three such propositions argue that reflexive foresight of the imagined futures in which climate engineering (...) proposals might reside is required; the performance and acceptance of climate engineering proposals should be decided in terms of robustness, not optimality; and climate engineering proposals should be satisfactorily opened up before they can be considered legitimate objects of governance. Taken together, these propositions offer a sociotechnical framework not simply for governing climate engineering but for governing responses to climate change at large. (shrink)

To date, research examining the socio-spatial effects of smart city technologies have charted how they are reconfiguring the production of space, spatiality and mobility, and how urban space is governed, but have paid little attention to how the temporality of cities is being reshaped by systems and infrastructure that capture, process and act on real-time data. In this article, we map out the ways in which city-scale Internet of Things infrastructures, and their associated networks of sensors, meters, transponders, actuators and (...) algorithms, are used to measure, monitor and regulate the polymorphic temporal rhythms of urban life. Drawing on Lefebvre, and subsequent research, we employ rhythmanalysis in conjunction with Miyazaki’s notion of ‘algorhythm’ and nascent work on algorithmic governance, to develop a concept of ‘algorhythmic governance’. We then use this framing to make sense of two empirical case studies: a traffic management system and sound monitoring and modelling. Our analysis reveals: how smart city technologies computationally perform rhythmanalysis and undertake rhythm-making that intervenes in space-time processes; distinct forms of algorhythmic governance, varying on the basis of adaptiveness, immediacy of action, and whether humans are in-, on-, or, off-the-loop; and a number of factors that shape how algorhythmic governance works in practice. (shrink)

Lefebvre, Love and Struggle provides the only comprehensive guide to Lefebvre's work. It is an accessible introduction to one of the most significant European thinkers of the twentieth century. Rob Shields draws on the full range of Lefebvre's writings, including many previously untranslated and unpublished works and correspondence. Topics covered include Lefebvre's early relationship with Marxism, his critique of the rise of fascism, as well as his Critique of Everyday Life and the significant work on urban space for which he (...) is best known today. (shrink)

This book looks at the origins and the many contemporary meanings of the virtual. Rob Shields shows how the construction of virtual worlds has a long history. He examines the many forms of faith and hysteria that have surrounded computer technologies in recent years. Moving beyond the technologies themselves he shows how the virtual plays a role in our daily lives at every level. The virtual is also an essential concept needed to manage innovation and risk. It is real but (...) not actual, ideal but not abstract. The virtual, he argues, has become one of the key organizing principles of contemporary society in the public realms of politics, business and consumption as well as in our private lives. (shrink)

Peter Lewis ([1997]) has recently argued that the wavefunction collapse theory of GRW (Ghirardi, Rimini and Weber [1986]) can only solve the problem of wavefunction tails at the expense of predicting that arithmetic does not apply to ordinary macroscopic objects. More specifically, Lewis argues that the GRW theory must violate the enumeration principle: that 'if marble 1 is in the box and marble 2 is in the box and so on through marble n, then all n marbles are in the (...) box' ([1997], p. 321). Ghirardi and Bassi ([1999]) have replied that it is meaningless to say that the enumeration principle is violated because the wavefunction Lewis uses to exhibit the violation cannot persist, according to the GRW theory, for more than a split second ([1999], p. 709). On the contrary, we argue that Lewis's argument survives Ghirardi and Bassi' s criticism unscathed. We then go on to show that, while the enumeration principle can fail in the GRW theory, the theory itself guarantees that the principle can never be empirically falsified, leaving the applicability of arithmetical reasoning to both micro- and macroscopic objects intact. (shrink)