One of the key achievements of critical realism has been to expose the modernist myth of universal reason, which holds that authentic knowledge claims must be objectively ‘pure’, uncontaminated by the subjectivity of local place, specific time and particular culture. Wright aims to address the lack of any substantial and sustained engagement between critical realism and theological critical realism with particular regard to: (a) the distinctive ontological claims of Christianity; (b) their epistemic warrant and intellectual legitimacy; and (c) scrutiny of (...) the primary source of the ontological claims of Christianity, namely the historical figure of Jesus of Nazareth. As such, it functions as a prolegomena to a much needed wider debate, guided by the under-labouring services of critical realism, between Christianity and various other religious and secular worldviews. This important new text will help stimulate a debate that has yet to get out of first gear. This book will appeal to academics, graduate and post-graduate students especially, but also Christian clergy, ministers and informed laity, and members of the general public concerned with the nature of religion and its place in contemporary society. (shrink)

Field theories have been central to physics over the last 150 years, and there are several theories in contemporary physics in which physical fields play key causal and explanatory roles. This paper proposes a novel field trope-bundle (FTB) ontology on which fields are composed of bundles of particularized property instances, called tropes and goes on to describe some virtues of this ontology. It begins with a critical examination of the dominant view about the ontology of fields, that fields are properties (...) of a substantial substratum. (shrink)

This book offers an exciting re-interpretation of Auguste Comte, the founder of French sociology. Following the development of his philosophy of positivism, Comte later focused on the importance of the emotions in his philosophy resulting in the creation of a new religious system, the Religion of Humanity. Andrew Wernick provides the first in-depth critique of Comte's concept of religion and its place in his thinking on politics, sociology and philosophy of science. He places Comte's ideas in the context of (...) post-1789 French political and intellectual history, and of modern philosophy, especially postmodernism. Wernick relates Comte to Marx and Nietzsche as seminal figures of modernity and examines key features of modern and postmodern French social theory, tracing the inherent flaws and disintegration of Comte's system. Wernick offers original and fascinating insights in this rich study which will attract a wide audience from sociologists and philosophers to cultural theorists and historians. (shrink)

In this paper I explore the pedagogical and political shift marked by the meaning and practice of diversity offered through New Labour education policy texts, specifically, the policy and practice of personalized learning (or personalization). The aim of this paper is to map the ways in which diversity relays and mobilizes a set of neoliberal positions and relationships in the field of education and seeks to govern education institutions and education users through politically circulating norms and values. These norms and (...) values, I want to argue, echo and redeem the kinds of frameworks, applications and rationalities typically aligned with modes of neoliberal or advanced liberal governance, e.g. marketization, monetarization, atomization and deregulation. I conclude the paper by considering how diversity in education renders problematic conventional antinomies of the citizen and consumer, public and private, state and civil society, etc., and forces us to confront the rhizomatic character of contemporary governance and education in the era of neoliberalism. (shrink)

Baghdad, California -- Calm down -- Clearing the dust -- Proof -- The big bang -- Evolution -- Evil -- Religion -- A crisis of reason.

We discuss the view that a hole is identical to the region of spacetime at which it is located. This view is more parsimonious than the view that holes are sui generis entities located at those regions surrounded by their hosts and it is more plausible than the view that there are no holes. We defend the spacetime view from several objections.

Despite his impressive influence on nineteenth-century philosophy, F. A. Trendelenburg's own philosophy has been largely ignored. However, among Kant scholars, Trendelenburg has always been remembered for his feud with Kuno Fischer over the subjectivity of space and time in Kant's philosophy. The topic of the dispute, now frequently referred to as the ?Neglected Alternative? objection, has become a prominent issue in contemporary discussions and interpretations of Kant's view of space and time. The Neglected Alternative contends that Kant unjustifiably moves from (...) the claim that we have a priori intuitions of space and time to the sceptical conclusion that space and time are exclusively subjective. Most current discussions trace the objection back to Trendelenburg and often use him to motivate the objection. However, to date Trendelenburg's actual arguments and reasons for rejecting the Kantian view of space and time have not been sufficiently uncovered; my goal here is to fill this lacuna. By better understanding what Trendelenburg actually argued, we will be in a better position to assess whether the Neglected Alternative objection against Kant is successful. But in addition, Trendelenburg's own system is of independent philosophical interest, and my work here will shed light on one part of it. (shrink)

Critical Realism and Marxism addresses controversial debates, revealing a potentially fruitful relationship; deepening our understanding of the social world and contibuting towards eliminating barbarism in contemporary capitalism.

Unrestricted Composition (UC) is, roughly, the claim that given any objects at all, there is something which those objects compose. (UC) conflicts in an obvious way with common sense. It has as a consequence, for instance, that there is something which has as parts my nose and the moon. One of the more influential arguments for (UC) is Theodore Sider’s version of the Argument from Vagueness. (A version of the Argument from Vagueness was first presented by David Lewis (1986), pp. (...) 212–213). That argument purports to show that some plausible claims concerning the nature of vagueness entail (UC). In this paper I will suggest a response to this argument. I will show that the proponent of Supersubstantivalism (SS)—the view that material objects are identical to regions of spacetime—can reject a premise of Sider’s argument without denying the plausible claims concerning vagueness. Doing so requires only rejecting a certain view concerning the relationship between the proper sub-region relation and the proper parthood relation. So, proponents of (SS) are in a better position than many of us to side with common sense regarding composition. In the first section of the paper, I will present Sider’s argument. In the second section, I will introduce (SS) and briefly discuss some reasons one might have to believe that it is true. In the third section, I will show how the proponent of (SS) can avoid commitment to (UC) and reject a premise of Sider’s argument. Last, I’ll briefly consider and respond to some objections. (shrink)

In this wide-ranging interview Andrew Sayer discusses how he became a realist and then the development of his work over the subsequent decades. He comments on his postdisciplinary approach, his early work on economy and its influences, how he came to write Method in Social Science and the transition in Realism and Social Science to normative critical social science and moral economy. The interview concludes with discussion of his three most recent books and the themes that connect them, not (...) least the ongoing problem of a ‘diabolical double crisis’ of capitalism: extreme inequality and climate change. (shrink)

This chapter explores two kinds of testimonial trust, what we call ‘evidential trust’ and ‘non-evidential trust’ with the aim of asking how testimonial trust could provide epistemic reasons for belief. We argue that neither evidential nor non-evidential trust can play a distinctive role in providing evidential reasons for belief, but we tentatively propose that non-evidential trust can in some circumstances provide a novel kind of epistemic reason for belief, a reason of epistemic facilitation. The chapter begins with an extensive discussion (...) of standard accounts of both kinds of trust and criticises especially the standard accounts of non-evidential trust. A new account of non-evidential trust is offered that avoids a number of difficulties that plague the standard accounts by rejecting what we call ‘attitude-liability assumptions’. (shrink)

Andrew Sayer undertakes a fundamental critique of social science's difficulties in acknowledging that people's relation to the world is one of concern. As sentient beings, capable of flourishing and suffering, and particularly vulnerable to how others treat us, our view of the world is substantially evaluative. Yet modernist ways of thinking encourage the common but extraordinary belief that values are beyond reason, and merely subjective or matters of convention, with little or nothing to do with the kind of beings (...) people are, the quality of their social relations, their material circumstances or well-being. The author shows how social theory and philosophy need to change to reflect the complexity of everyday ethical concerns and the importance people attach to dignity. He argues for a robustly critical social science that explains and evaluates social life from the standpoint of human flourishing. (shrink)

“Doğal din” terimi, bazen doğanın kendisinin ilahi olduğu bir panteistik doktrine atıfta bulunur. “Doğal teoloji” terimi ise aksine, başlangıçta gözlemlenen doğal gerçekler temelinde (ve bazen) Tanrı’nın varlığını savunmaya yönelik projeye atıfta bulunur. Bununla birlikte çağdaş felsefede, hem “doğal din” hem de “doğal teoloji” genel olarak, dinî veya teolojik konuları araştırmak için insana, “doğal” olan bilişsel yetilerini – akıl, algı, içgözlem- kullanma projesini ifade eder. Doğal din veya teoloji, mevcut anlayış üzerine, doğayla ilgili ampirik araştırmalarla sınırlı olmamakla birlikte ayrıca panteistik bir (...) sonuçla da bağlantılı değildir. Bununla birlikte o, özel doğal olmayan yetilere (ESP, telepati, mistik deneyim) veya doğaüstü bilgi kaynaklarına (kutsal metinler, vahiy teolojisi, inanç otoriteleri, doğrudan doğaüstü iletişim) hitap etmekten kaçınır. Genel olarak, doğal din veya teoloji (bundan böyle “doğal teoloji” olarak anılacaktır), diğer felsefi ve bilimsel girişimlerle aynı rasyonel inceleme standartlarına uymayı amaçlamaktadır ve aynı değerlendirme ve eleştiri yöntemlerine tabidir. (shrink)

INTRODUCTION I What is teleology? If you ever look closely at an ants' nest, you will see an intricate network of pathways and chambers teeming with ...

A list of resources for virtue theories of argumentation. Last updated October 31st, 2023.

The fallacy fallacy is either the misdiagnosis of fallacy or the supposition that the conclusion of a fallacy must be a falsehood. This paper explores the relevance of these and related errors of reasoning for the appraisal of arguments, especially within virtue theories of argumentation. In particular, the fallacy fallacy exemplifies the Owl of Minerva problem, whereby tools devised to understand a norm make possible new ways of violating the norm. Fallacies are such tools and so are vices. Hence a (...) similar problem arises with argumentative vices. Fortunately, both instances of the problem have a common remedy. (shrink)

A dynamic systems (DS) approach uncovers important connections between emotion and neurophysiology. It is critical, however, to include a developmental perspective. Strides in the understanding of emotional development, as well as the present use of DS in developmental science, add significantly to the study of emotion. Examples include stranger fear during infancy, intermodal perception of emotion, and development of individual emotional systems.

Virtue theories have become influential in ethics and epistemology. This paper argues for a similar approach to argumentation. Several potential obstacles to virtue theories in general, and to this new application in particular, are considered and rejected. A first attempt is made at a survey of argumentational virtues, and finally it is argued that the dialectical nature of argumentation makes it particularly suited for virtue theoretic analysis.

The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these concepts apart. It emphasizes the role of argumentation as a context shared by evidence, proofs, and derivations. The utility of argumentation theory, in general, and argumentation schemes, in particular, (...) as a methodology for the study of mathematical practice is thereby demonstrated. Argumentation schemes represent an almost untapped resource for mathematics education. Notably, they provide a consistent treatment of rigorous and non-rigorous argumentation, thereby working to exhibit the continuity of reasoning in mathematics with reasoning in other areas. Moreover, since argumentation schemes are a comparatively mature methodology, there is a substantial body of existing work to draw upon, including some increasingly sophisticated software tools. Such tools have significant potential for the analysis and evaluation of mathematical argumentation. The first four sections of the paper address the relationships of evidence to proof, proof to derivation, argument to proof, and argument to evidence, respectively. The final section directly addresses some of the educational implications of an argumentation scheme account of mathematical reasoning. (shrink)

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)

Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...) meet them, who have explicitly invoked virtues in discussing what is necessary for a mathematician to succeed. In both ethics and epistemology, virtue theory tends to emphasize character virtues, the acquired excellences of people. But people are not the only sort of thing whose excellences may be identified as virtues. Theoretical virtues have attracted attention in the philosophy of science as components of an account of theory choice. Within the philosophy of mathematics, and mathematics itself, attention to virtues has emerged from a variety of disparate sources. Theoretical virtues have been put forward both to analyse the practice of proof and to justify axioms; intellectual virtues have found multiple applications in the epistemology of mathematics; and ethical virtues have been offered as a basis for understanding the social utility of mathematical practice. Indeed, some authors have advocated virtue epistemology as the correct epistemology for mathematics (and perhaps even as the basis for progress in the metaphysics of mathematics). This topical collection brings together several of the researchers who have begun to study mathematical practices from a virtue perspective with the intention of consolidating and encouraging this trend. (shrink)

What should a virtue theory of argumentation say about fallacious reasoning? If good arguments are virtuous, then fallacies are vicious. Yet fallacies cannot just be identified with vices, since vices are dispositional properties of agents whereas fallacies are types of argument. Rather, if the normativity of good argumentation is explicable in terms of virtues, we should expect the wrongness of bad argumentation to be explicable in terms of vices. This approach is defended through analysis of several fallacies, with particular emphasis (...) on the ad misericordiam. (shrink)

Many philosophers accept both of the following claims: (1) consciousness matters morally, and (2) species membership doesn’t matter morally. In other words, many reject speciesism but accept what we might call 'sentientism'. But do the reasons against speciesism yield analogous reasons against sentientism, just as the reasons against racism and sexism are thought to yield analogous reasons against speciesism? This paper argues that speciesism is disanalogous to sentientism (as well as racism and sexism). I make a case for the following (...) asymmetry: (a) some non-humans clearly have interests, but (b) no non-conscious entities clearly have interests. This asymmetry, I argue, renders sentientism resistant to the standard argument against speciesism. (shrink)

This is the first book-length treatment of the relationship between citizenship and the environment. Andrew Dobson argues that ecological citizenship cannot be fully articulated in terms of the two great traditions of citizenship - liberal and civic republican - with which we have been bequeathed. He develops an original theory of citizenship, which he calls 'post-cosmopolitan', and argues that ecological citizenship is an example and an inflection of it. Ecological citizenship focuses on duties as well as rights, and these (...) duties are owed non-reciprocally, by those individuals and communities who occupy unsustainable amounts of ecological space, to those who occupy too little. (shrink)

I intend to bring recent work applying virtue theory to the study of argument to bear on a much older problem, that of disagreements that resist rational resolution, sometimes termed "deep disagreements". Just as some virtue epistemologists have lately shifted focus onto epistemic vices, I shall argue that a renewed focus on the vices of argument can help to illuminate deep disagreements. In particular, I address the role of arrogance, both as a factor in the diagnosis of deep disagreements and (...) as an obstacle to their mutually acceptable resolution. Arrogant arguers are likely to make any disagreements to which they are party seem deeper than they really are and arrogance impedes the strategies that we might adopt to resolve deep disagreements. As a case in point, since arrogant or otherwise vicious arguers cannot be trusted not to exploit such strategies for untoward ends, any policy for deep disagreement amelioration must require particularly close attention to the vices of argument, lest they be exploited by the unscrupulous. (shrink)

Deep disagreements are characteristically resistant to rational resolution. This paper explores the contribution a virtue theoretic approach to argumentation can make towards settling the practical matter of what to do when confronted with apparent deep disagreement, with particular attention to the virtue of courage.

This volume consists of papers given to the Royal Institute of Philos ophy Conference on 'Philosophy and the Visual Arts: Seeing and Abstracting' given at the University of Bristol in September 1985. The contributors here come about equally from the disciplines of Philosophy and Art History and for that reason the Conference was hosted jointly by the Bristol University Departments of Philosophy and History of Art. Other conferences sponsored by the Royal Institute of Philosophy have been concerned with links between (...) Philosophy and related disciplines, but here, with the generous support of South West Arts and with the enthusiastic co-operation of the staff of the Arnolfini Gallery in Bristol we were able to attempt even more in the way of bridge building; not only were we able to hold some of our meetings in as possible to the general the Gallery, thus making them as accessible public, but we were also privileged in having our discussions supported by two exhibitions of contemporary painting that together presented contrasting aspects of the abstracting enterprise. One, featuring works by Ian McKeever, and drawings and painting by Frank Auerbach, some of which are discussed and illustrated in the present volume, was about the painterly exploration of 'abstracting from' images in nature and in painting itself. The other, curated by Waldemar Januszczak, while showing some figurative works, was concerned with the 'pure' power of colour perceived 'abstractly, in its own right. (shrink)

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

When a person performs or fails to perform a morally significant action, we sometimes think that a particular kind of response is warranted. Praise and blame are perhaps the most obvious forms this reaction might take. For example, one who encounters a car accident may be regarded as worthy of praise for having saved a child from inside the burning car, or alternatively, one may be regarded as worthy of blame for not having used one's mobile phone to call for (...) help. To regard such agents as worthy of one of these reactions is to ascribe moral responsibility to them on the basis of what they have done or left undone. (These are examples of other-directed ascriptions of responsibility. The reaction might also be self-directed, e.g., one can recognize oneself to be blameworthy). Thus, to be morally responsible for something, say an action, is to be worthy of a particular kind of reaction —praise, blame, or something akin to these—for having performed it.[1.. (shrink)

Heidegger's later thought is a thinking of things, so argues Andrew J. Mitchell in The Fourfold. Heidegger understands these things in terms of what he names "the fourfold"--a convergence of relationships bringing together the earth, the sky, divinities, and mortals--and Mitchell's book is the first detailed exegesis of this neglected aspect of Heidegger's later thought. As such it provides entré to the full landscape of Heidegger's postwar thinking, offering striking new interpretations of the atomic bomb, technology, plants, animals, weather, (...) time, language, the holy, mortality, dwelling, and more. What results is a conception of things as ecstatic, relational, singular, and, most provocatively, as intrinsically tied to their own technological commodification. A major new work that resonates beyond the confines of Heidegger scholarship, The Fourfold proposes nothing less than a new phenomenological thinking of relationality and mediation for understanding the things around us. (shrink)

The COVID-19 pandemic has been accompanied by an “infodemic” of misinformation and conspiracy theory. This article points to three explanatory factors: the challenge of forming accurate beliefs when overwhelmed with information, an implausibly individualistic conception of epistemic virtue, and an adversarial information environment that suborns epistemic dependence. Normally we cope with the problems of informational excess by relying on other people, including sociotechnical systems that mediate testimony and evidence. But when we attempt to engage in epistemic “superheroics” - withholding trust (...) from others and trying to figure it all out for ourselves – these can malfunction in ways that make us vulnerable to forming irrational beliefs. Some epistemic systems are prone to coalescing audiences around false conspiracy theories. This analysis affords a new perspective on philosophical efforts to understand conspiracy theories and other epistemic projects prone to collective irrationality. (shrink)

Several authors have recently begun to apply virtue theory to argumentation. Critics of this programme have suggested that no such theory can avoid committing an ad hominem fallacy. This criticism is shown to trade unsuccessfully on an ambiguity in the definition of ad hominem. The ambiguity is resolved and a virtue-theoretic account of ad hominem reasoning is defended.

Informal logic is a method of argument analysis which is complementary to that of formal logic, providing for the pragmatic treatment of features of argumentation which cannot be reduced to logical form. The central claim of this paper is that a more nuanced understanding of mathematical proof and discovery may be achieved by paying attention to the aspects of mathematical argumentation which can be captured by informal, rather than formal, logic. Two accounts of argumentation are considered: the pioneering work of (...) Stephen Toulmin [The uses of argument, Cambridge University Press, 1958] and the more recent studies of Douglas Walton, [e.g. The new dialectic: Conversational contexts of argument, University of Toronto Press, 1998]. The focus of both of these approaches has largely been restricted to natural language argumentation. However, Walton’s method in particular provides a fruitful analysis of mathematical proof. He offers a contextual account of argumentational strategies, distinguishing a variety of different types of dialogue in which arguments may occur. This analysis represents many different fallacious or otherwise illicit arguments as the deployment of strategies which are sometimes admissible in contexts in which they are inadmissible. I argue that mathematical proofs are deployed in a greater variety of types of dialogue than has commonly been assumed. I proceed to show that many of the important philosophical and pedagogical problems of mathematical proof arise from a failure to make explicit the type of dialogue in which the proof is introduced. (shrink)

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of mathematical reasoning closely resemble patterns of reasoning in nonmathematical domains. Hence the tools developed to understand informal reasoning, collectively known as argumentation theory, are also applicable to much mathematical argumentation. This chapter investigates some of the details of that application. Consideration is given to the many contrasting meanings (...) of the word “argument”; to some of the specific argumentation-theoretic tools that have been applied to mathematics, notably Toulmin layouts and argumentation schemes; to some of the different ways that argumentation is implicated in mathematical practices; and to the social aspects of mathematical argumentation. (shrink)

This paper argues that the dominance of linear models has led many sociologists to construe the social world in terms of a "general linear reality." This reality assumes (1) that the social world consists of fixed entities with variable attributes, (2) that cause cannot flow from "small" to "large" attributes/events, (3) that causal attributes have only one causal pattern at once, (4) that the sequence of events does not influence their outcome, (5) that the "careers" of entities are largely independent, (...) and (6) that causal attributes are generally independent of each other. The paper discusses examples of these assumptions in empirical work, consider standard and new methods addressing them, and briefly explores alternative models for reality that employ demographic, sequential, and network perspectives. (shrink)

Cumulative cultural evolution is often claimed to be distinctive of human culture. Such claims are typically supported with examples of complex and historically late-appearing technologies. Yet by taking these as paradigm cases, researchers unhelpfully lump together different ways that culture accumulates. This article has two aims: (a) to distinguish four types of cultural accumulation: adaptiveness, complexity, efficiency, and disparity and (b) to highlight the epistemic implications of taking complex hominin technologies as paradigmatic instances of cumulative culture. Addressing these issues both (...) clarifies the cumulative culture concept and demonstrates the importance of further cumulative culture research into non-human animals and ancestral hominins. (shrink)

This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms by careful observation of its pathologies. The first section explores the application to mathematics of recent work on fallacy theory, specifically the concept of an ‘argumentation scheme’: a characteristic pattern under which many similar inferential steps may be subsumed. Fallacies may then be understood as argumentation schemes used inappropriately. The next section demonstrates how some specific mathematical fallacies may be characterized in terms of argumentation (...) schemes. The third section considers the phenomenon of correct answers which result from incorrect methods. This turns out to pose some deep questions concerning the nature of mathematical knowledge. In particular, it is argued that a satisfactory epistemology for mathematical practice must address the role of luck. (shrink)

Stephen Toulmin once observed that ”it has never been customary for philosophers to pay much attention to the rhetoric of mathematical debate’ [Toulmin et al., 1979, An Introduction to Reasoning, Macmillan, London, p. 89]. Might the application of Toulmin’s layout of arguments to mathematics remedy this oversight? Toulmin’s critics fault the layout as requiring so much abstraction as to permit incompatible reconstructions. Mathematical proofs may indeed be represented by fundamentally distinct layouts. However, cases of genuine conflict characteristically reflect an underlying (...) disagreement about the nature of the proof in question. (shrink)

I want to say something about the sort of arguments that it is possible to lose, and whether losing arguments can be done well. I shall focus on losing philosophical arguments, and I will be talking about arguments in the sense of acts of arguing. This is the sort of act that one can perform on one’s own or with one other person in private. But in either of these cases it is difficult to win—or to lose. So I shall (...) concentrate on arguments with audiences. We may think of winning or losing such arguments in terms of whether the audience is convinced. Of course, this doesn’t necessarily have anything to do with who is in the right. That means that there are two sorts of loser: real losers, who lose the argument deservedly, because they are in the wrong, and mere losers, who lose the argument undeservedly, because they are in the right. Hence there must also be two sorts of winner: real winners, who win the argument deservedly, because they are in the right, and mere winners, who win the argument undeservedly, because they are in the wrong. An optimal outcome for arguments with losers would be if all the losers are real losers. (shrink)