John Searle has argued that the aim of strong AI of creating a thinking computer is misguided. Searle’s Chinese Room Argument purports to show that syntax does not suffice for semantics and that computer programs as such must fail to have intrinsic intentionality. But we are not mainly interested in the program itself but rather the implementation of the program in some material. It does not follow by necessity from the fact that computer programs are defined syntactically that the implementation (...) of them cannot suffice for semantics. Perhaps our world is a world in which any implementation of the right computer program will create a system with intrinsic intentionality, in which case Searle’s Chinese Room Scenario is empirically (nomically) impossible. But, indeed, perhaps our world is a world in which Searle’s Chinese Room Scenario is empirically (nomically) possible and that the silicon basis of modern day computers are one kind of material unsuited to give you intrinsic intentionality. The metaphysical question turns out to be a question of what kind of world we are in and I argue that in this respect we do not know our modal address. The Modal Address Argument does not ensure that strong AI will succeed, but it shows that Searle’s challenge on the research program of strong AI fails in its objectives. (shrink)

A standard objection to so-called ‘minimal semantics’ (Borg 2004, 2012, Cappelen and Lepore 2005) is that minimal contents are explanatorily redundant as they play no role in an adequate account of linguistic communication (those making this objection include Levinson 2000, Carston 2002, Recanati 2004). This paper argues that this standard objection is mistaken. Furthermore, I argue that seeing why the objection is mistaken sheds light both on how we should draw the classic Gricean distinction between saying and implicating, and (...) how we should think about the key philosophical notion of assertion. Specifically, it reveals that these ideas are best understood primarily in socio-linguistic terms (resting on the degree of liability a speaker is held to have for linguistically conveyed content). (shrink)

Philosophers often assume that folk hold pain to be a mental state – to be in pain is to have a certain kind of feeling – and they think this state exhibits the classic Cartesian characteristics of privacy, subjectivity, and incorrigibility. However folk also assign pains (non-brain-based) bodily locations: unlike most other mental states, pains are held to exist in arms, feet, etc. This has led some (e.g. Hill 2005) to talk of the ‘paradox of pain’, whereby the folk notion (...) of pain is inherently conflicted. Recently, several authors have rejected the paradox view, arguing instead that folk hold a univocal, bodily view (i.e. pains are properties of various body parts, not of minds). This paper presents six objections to the bodily view of the folk concept of pain. We then outline a direction for future research – the ‘polyeidic approach’ – whereby the folk notion of pain is held to encompass various divergent (potentially conflicting) strands and we suggest that certain problems surrounding the treatment and communication of pain might be usefully be viewed through the lens of the polyeidic approach. (shrink)

Mirror neurons are neurons which fire in two distinct conditions: (i) when an agent performs a specific action, like a precision grasp of an object using fingers, and (ii) when an agent observes that action performed by another. Some theorists have suggested that the existence of such neurons may lend support to the simulation approach to mindreading (e.g. Gallese and Goldman, 1998, 'Mirror neurons and the simulation theory of mind reading'). In this note I critically examine this suggestion, in both (...) its original and a revised form (due to Iacoboni et al., 2005, 'Grasping the intentions of others with one's own mirror neuron system'), and argue that the existence of mirror neurons can in fact tell us very little about how intentional attribution actually proceeds. (shrink)

Some demonstrative expressions, those we might term ‘bare demonstratives’, appear without any appended descriptive content (e.g. occurrences of ‘this’ or ‘that’ simpliciter). However, it seems that the majority of demonstrative occurrences do not follow this model. ‘Complex demonstratives’ is the collective term I shall use for phrases formed by adjoining one or more common nouns to a demonstrative expression (e.g. ‘that cat’, ‘this happy man’) and I will call the combination of predicates immediately concatenated with the demonstrative in such phrases (...) the ‘matrix’ of the expression. The question, then, is how we should construe the logical form of such expressions within a semantic theory for our language; and I wish to suggest that some recent answers to this question are, in fact, mistaken. The structure of the paper is as follows: first, I wish to highlight two (often underlying) assumptions about the nature of noun phrases in general, and suggest that, if they are both adopted, they apparently constrain the possible accounts of the logical form of complex demonstratives to just three options. The second and third parts of the paper will be concerned with expanding these options and arguing that none of them are adequate; thus the major part of the paper is concerned with the negative claim that the most obvious moves to make in this area must actually fail on closer inspection. The fourth and final section will then (very briefly) sketch the positive thesis of the paper: that we can deliver a clear and cohesive account of complex demonstratives, armed simply with elements which we will draw from David Kaplan’s theory of demonstratives, but only at the cost of rejecting (or at least refining) one assumption we recognised initially. (shrink)

Both patients and clinicians frequently report problems around communicating and assessing pain. Patients express dissatisfaction with their doctors and doctors often find exchanges with chronic pain patients difficult and frustrating. This chapter thus asks how we could improve pain communication and thereby enhance outcomes for chronic pain patients. We argue that improving matters will require a better appreciation of the complex meaning of pain terms and of the variability and flexibility in how individuals think about pain. We start by examining (...) the various accounts of the meaning of pain terms that have been suggested within philosophy and suggest that, while each of the accounts captures something important about our use of pain terms, none is completely satisfactory. We propose that pain terms should be viewed as communicating complex meanings, which may change across different communicative contexts, and this in turn suggests that we should view our ordinary thought about pain as similarly complex. We then sketch what a view taking seriously this variability in meaning and thought might look like, which we call the “polyeidic” view. According to this view, individuals tacitly occupy divergent stances across a range of different dimensions of pain, with one agent, for instance, thinking of pain in a much more “bodycentric” kind of way, while another thinks of pain in a much more "mindcentric” way. The polyeidic view attempts to expand the multidimensionality recognised in, e.g., biopsychosocial models in two directions: first, it holds that the standard triumvirate— dividing sensory/cognitive/affective factors— needs to be enriched in order to capture important distinctions within the social and psychological dimensions. Second, the polyeidic view attempts to explain (at least in part) why modulation of experience by these social and psychological factors is possible in the first place. It does so by arguing that because the folk concept of pain is complex, different weightings of the different parts of the concept can modulate pain experience in a variety of ways. Finally, we argue that adopting a polyeidic approach to the meaning of pain would have a range of measurable clinical outcomes. (shrink)

The aim of this paper is to explore the proper content of a formal semantic theory in two respects: first, clarifying which uses of expressions a formal theory should seek to accommodate, and, second, how much information the theory should contain. I explore these two questions with respect to occurrences of demonstratives and pronouns – the so- called ‘deferred’ uses – which are often classified as non-standard or figurative. I argue that, contrary to initial impressions, they must be treated as (...) semantically identical to ordinary, perceptual uses of these expression-types, and that this finding has important repercussions for our view of the scope and limits of a semantic theory. (shrink)

‘Pragmaticist’ positions posit a three-way division within utterance content between: (i) the standing meaning of the sentence, (ii) a somewhat pragmatically enhanced meaning which captures what the speaker explicitly conveys (following Sperber and Wilson 1986, I label this the ‘explicature’), and (iii) further indirectly conveyed propositions which the speaker merely implies. Here I re-examine the notion of an explicature, asking how it is defined and what work explicatures are supposed to do. I argue that explicatures get defined in three different (...) ways and that these distinct definitions can and do pull apart. Thus the notion of an explicature turns out to be ill-defined. (shrink)

Various kinds of user and patient involvement are spreading in healthcare in most Western countries. The purpose of this study is to critically assess the actual conditions for patients’ involvement in healthcare practice in Greenland and to point to possibilities for development. Patients’ perspectives on their own conduct of everyday life with illness and their possibilities for participation when hospitalized are examined in relation to the conditions in a hospital setting dominated by biomedical practice. On a theoretical level, it is (...) argued that the concept of ‘participation’ is preferable to the concept ‘involvement’ in healthcare. The study shows that there are several interconnected areas for development: the structural frames of hospital practice, including professionals’ possibilities for handling patient participation, and the agency of the patients conducting their everyday lives when hospitalized. Consequences of the biomedical hegemony are discussed in relation to WHO ́s broader approach to disease, illness and health and the still existing postcolonial traces of power and hierarchy. Finally it is argued that patient participation during hospitalization will promote the patients ́ conduct of everyday life, the cultural knowledge of the professionals, and the democratization of the healthcare sector. Such changes might be connected to a more encompassing democratic societal development – in Greenland as well as globally. (shrink)

Recent studies of scientific interaction based on agent-based models suggest that a crucial factor conducive to efficient inquiry is what Zollman has dubbed ‘transient diversity’. It signifies a process in which a community engages in parallel exploration of rivaling theories lasting sufficiently long for the community to identify the best theory and to converge on it. But what exactly generates transient diversity? And is transient diversity a decisive factor when it comes to the efficiency of inquiry? In this paper we (...) examine the impact of different conditions on the efficiency of inquiry, as well as the relation between diversity and efficiency. This includes certain diversity-generating mechanisms previously proposed in the literature, as well as some factors that have so far been neglected. This study is obtained via an argumentation-based ABM. Our results suggest that cautious decision-making does not always have a significant impact on the efficiency of inquiry while different evaluations underlying theory-choice and different social networks do. Moreover, we find a correlation between diversity and a successful performance of agents only under specific conditions, which indicates that transient diversity is sometimes not the primary factor responsible for efficiency. Altogether, when comparing our results to those obtained by structurally different ABMs based on Zollman’s work, the impact of specific factors on efficiency of inquiry, as well as the role of transient diversity in achieving efficiency, appear to be highly dependent on the underlying model. (shrink)

In his important recent book, Ethics and the Global Financial Crisis: Why Incompetence is Worse than Greed, Boudewijn de Bruin argues that a key element of the global financial crisis of 2007–2008 was a failure of epistemic virtue. To improve matters, then, de Bruin argues we need to focus on the acquisition and exercise of epistemic virtues, rather than to focus on a more ethical culture for banking per se. Whilst this is an interesting suggestion and it is indeed very (...) plausible that an increased focus on proper knowledge-related behaviour will be part of a solution, we are sceptical both about de Bruin’s overarching theoretical claims and about his practical suggestions for change. Instead we argue that change in this sector is best promoted by reconceiving of the relationship between financial institutions and the societies they serve, and that this is fundamentally not an epistemic but a moral issue. (shrink)

Recent studies of scientific interaction based on agent-based models suggest that a crucial factor conducive to efficient inquiry is what Zollman has dubbed ‘transient diversity’. It signifies a process in which a community engages in parallel exploration of rivaling theories lasting sufficiently long for the community to identify the best theory and to converge on it. But what exactly generates transient diversity? And is transient diversity a decisive factor when it comes to the efficiency of inquiry? In this paper we (...) examine the impact of different conditions on the efficiency of inquiry, as well as the relation between diversity and efficiency. This includes certain diversity-generating mechanisms previously proposed in the literature, as well as some factors that have so far been neglected. This study is obtained via an argumentation-based ABM. Our results suggest that cautious decision-making does not always have a significant impact on the efficiency of inquiry while different evaluations underlying theory-choice and different social networks do. Moreover, we find a correlation between diversity and a successful performance of agents only under specific conditions, which indicates that transient diversity is sometimes not the primary factor responsible for efficiency. Altogether, when comparing our results to those obtained by structurally different ABMs based on Zollman’s work, the impact of specific factors on efficiency of inquiry, as well as the role of transient diversity in achieving efficiency, appear to be highly dependent on the underlying model. (shrink)

In this paper I want to explore the arguments for so-called ‘unarticulated constituents’ (UCs). Unarticulated constituents are supposed to be propositional elements, not presented in the surface form of a sentence, nor explicitly represented at the level of its logical form, yet which must be interpreted in order to grasp the (proper) meaning of that sentence or expression. Thus, for example, we might think that a sentence like ‘It is raining’ must contain a UC picking out the place at which (...) the speaker of the sentence asserts it to be raining. In §1 I will explore the nature of UCs a little further, and, in §2, suggest that we can recognise two different forms of argument for them.. (shrink)

Minimal semantics is sometimes characterised as a ‘neo-Gricean’ approach to meaning. This label seems reasonable since a key claim of minimal semantics is that the minimal contents possessed by sentences (akin to Grice’s technical notion of ‘what is said by a sentence’) need not be (and usually are not) what is communicated by a speaker who utters those sentences. However, given an affinity between the two approaches, we might expect that a well-known challenge for the Gricean – namely that their (...) account fails to fit with the psychological evidence concerning linguistic understanding – could also be levelled at the minimalist, and indeed this seems to be the basis of Recanati’s challenge to minimalism from his ‘availability principle’ (Recanati 2004). This paper aims to explore the relationship between semantics and psychology and show how both Gricean and minimalist approaches can avoid the challenge from psychological evidence. I conclude by suggesting that the way in which minimalism avoids this challenge also helps the account to defuse Clapp’s ‘naturalistic objection’ (Clapp 2007) that there are no grounds for selecting a correct minimal semantic theory. (shrink)

A common deflationary tendency has emerged recently in both philosophical accounts and comparative animal studies concerned with how subjects understand the actions of others. The suggestion emerging from both arenas is that the default mechanism for understanding action involves only a sensitivity to the observable, behavioural (non-mental) features of a situation. This kind of ‘smart behaviour reading’ thus suggests that, typically, predicting or explaining the behaviour of conspecifics does not require seeing the other through the lens of mental state attribution. (...) This paper aims to explore and assess this deflationary move. In §1 I clarify what might be involved in a smart behaviour reading account via looking at some concrete examples. Then in §2 I critically assess the deflationary move, arguing that, at least in the human case, it would in fact be a mistake to assume that our default method of action understanding proceeds without appeal to mental state attribution. Finally in §3 I consider briefly how the positive view proposed here relates to discussions about standard two-system models of cognition. (shrink)

There is a sense in which it is trivial to say that one accepts intention- (or convention-) based semantics.[2] For if what is meant by this claim is simply that there is an important respect in which words and sentences have meaning (either at all or the particular meanings that they have in any given natural language) due to the fact that they are used, in the way they are, by intentional agents (i.e. speakers), then it seems no one should (...) disagree. For imagine a possible world where there are physical things which share the shape and form of words of English or Japanese, or the acoustic properties of sentences of Finnish or Arapaho, yet where there are no intentional agents (or where any remaining intentional agents don’t use language). In such a world, it seems clear that these physical objects, which are only superficially language-like, will lack all meaning. Furthermore, it seems that questions of particular meaning are also settled by the conventions of intentional language users: it’s nothing more than convention which makes the concatenation of letters ‘a’^‘p’^‘p’^‘l’^‘e’ mean apple, rather than banana, in English.[3] So, understood as the minimal claim that intentional agents, who have a practice of using certain physical objects (written words, sounds, hand gestures, etc) to communicate certain thoughts, are a prerequisite for linguistic meaning, the idea that semantics is based on both intention and convention seems indisputable. I will label a theory which recognises this preconditional role for speaker intentions an A-style intention-based semantics and we will explore one such account in §1. (shrink)

An important fact about human labor is that it can result not just in reproduction of what it started with, but in something new, a surplus product. When the latter is a means of production, it makes possible a mechanism of change consisting of reproduction by means of the expanded means of production. Each iteration of the labor process can differ from the preceding one insofar as it incorporates the surplus generated previously. Over the long-term, this cyclical process can lead (...) to the self-transformation of labor and, through it, of human societies and cultures. In this paper, I argue that this mechanism of change is also at work in the history of science. I argue that the form this mechanism takes in science is that of a feedback loop between discovery and instrument construction. This process requires the integration, and transformation into material form, of different kinds of knowledge. Based on this mechanism, I defend a concept of scientific progress as transcendence of the limitations of native human epistemic abilities. I also criticize narrowly biologistic approaches to the history of science for ignoring the role of surplus generation in transforming the labor process, and discuss some problems associated with viewing science as labor. (shrink)

The ‘question under discussion’ (or ‘QUD’) framework is a pragmatic framework that draws on work in the semantics of questions to provide an appealing account of a range of pragmatic phenomena, including the use of prosodic focus in English and restrictions on acceptable discourse moves (Roberts 1996). More recently, however, a number of proposals have attempted to use the framework to help to settle issues at the semantics/pragmatics boundary, fixing the truth-conditions of what is said by a speaker (which many (...) theorists take to be a semantic matter). In this discussion piece, we suggest that this kind of putative extension of the work to be done by the QUD framework is illegitimate, as the framework ultimately seems to depend on a prior grip on semantic content. To see this, we first outline the QUD framework and then raise our concern. (shrink)

The mirror neuron system is widely held to provide direct access to the motor goals of others. This paper critically investigates this idea, focusing on the so-called ‘intentional worry’. I explore two answers to the intentional worry: first that the worry is premised on too limited an understanding of mirror neuron behaviour (Sections 2 and 3), second that the appeal made to mirror neurons can be refined in such a way as to avoid the worry (Section 4). I argue that (...) the first response requires an account of the mechanism by which small-scale gestures are supposedly mapped to larger chains of actions but that none of the extant accounts of this mechanism are plausible. Section 4 then briefly examines refinements of the mirror neuron-mindreading hypothesis which avoid the intentional worry. I conclude that these refinements may well be plausible but that they undermine many of the claims standardly made for mirror neurons. (shrink)

This book is a major contribution to the history of analytic philosophy in general and of logical positivism in particular. It provides the first detailed and comprehensive study of Rudolf Carnap, one of the most influential figures in twentieth-century philosophy. The focus of the book is Carnap's first major work: Der logische Aufbau der Welt. It reveals tensions within the context of German epistemology and philosophy of science in the early twentieth century. Alan Richardson argues that Carnap's move to (...) philosophy of science in the 1930s was largely an attempt to dissolve the tension in his early epistemology. This book fills a significant gap in the literature on the history of twentieth-century philosophy. It will be of particular importance to historians of analytic philosophy, philosophers of science, and historians of science. (shrink)

In 'Local pragmatics in a Gricean framework', Mandy Simons argues that, contrary to the received view, it is possible to accommodate local pragmatic effects utilising just the mechanisms for pragmatic reasoning provided by Grice. Although I agree with this overarching claim, this paper argues that we need to be careful in our understanding of 'what is said', and the nature of communicated content in general, when deciding between local and global accounts of pragmatic effects.

I aim to show that a semantic minimalist need not also be a semantic internalist. §I introduces minimalism and internalism and argues that there is a prima facie case for a minimalist being an internalist. §II sketches some positive arguments for internalism which, if successful, show that a minimalist must be an internalist. §III goes on to reject these arguments and contends that the prima facie case for uniting minimalism and internalism is also not compelling. §IV returns to an objection (...) from §I and argues for a way to meet it which does not depend on giving up semantic externalism. (shrink)

relevant to the differences between the two speakings, Odile’s words in the first case said what was false, while in the second case they said what was true. Both spoke of the same state of the world, or the same refrigerator in the same condition. So, in the first case, the words said what is false of a refrigerator with but a milk puddle; in the second case they said what is true of such a refrigerator.

Grice's distinction between what is said by a sentence and what is implicated by an utterance of it is both extremely familiar and almost universally accepted. However, in recent literature, the precise account he offered of implicature recovery has been questioned and alternative accounts have emerged. In this paper, I examine three such alternative accounts. My main aim is to show that the two most popular accounts in the current literature still face signifi cant problems. I will then conclude by (...) suggesting that an alternative account, emerging from semantic minimalism, is best placed to accommodate Grice's distinction. (shrink)

In this paper we introduce hypersequent-based frameworks for the modelling of defeasible reasoning by means of logic-based argumentation and the induced entailment relations. These structures are an extension of sequent-based argumentation frameworks, in which arguments and the attack relations among them are expressed not only by Gentzen-style sequents, but by more general expressions, called hypersequents. This generalization allows us to overcome some of the known weaknesses of logical argumentation frameworks and to prove several desirable properties of the entailments that are (...) induced by the extended frameworks. It also allows us to incorporate as the deductive base of our formalism some well-known logics, which lack cut-free sequent calculi, and so are not adequate for standard sequent-based argumentation. We show that hypersequent-based argumentation yields robust defeasible variants of these logics, with many desirable properties. (shrink)

Review Essay on: Simeon Wade, Foucault in California [A True Story – Wherein the Great French Philosopher Drops Acid in the Valley of Death], foreword by Heather Dundas.. 144 pp, ISBN 9781597144636.

Both patients and clinicians frequently report problems around communicating and assessing pain. Patients express dissatisfaction with their doctors and doctors often find exchanges with chronic pain patients difficult and frustrating. This chapter thus asks how we could improve pain communication and thereby enhance outcomes for chronic pain patients. We argue that improving matters will require a better appreciation of the complex meaning of pain terms and of the variability and flexibility in how individuals think about pain.We start by examining the (...) various accounts of the meaning of pain terms that have been suggested within philosophy and suggest that, while each of the accounts captures something important about our use of pain terms, none is completely satisfactory. We propose that pain terms should be viewed as communicating complex meanings, which may change across different communicative contexts, and this in turn suggests that we should view our ordinary thought about pain as similarly complex. We then sketch what a view taking seriously this variability in meaning and thought might look like, which we call the “polyeidic” view. According to this view, individuals tacitly occupy divergent stances across a range of different dimensions of pain, with one agent, for instance, thinking of pain in a much more “body-centric” kind of way, while another thinks of pain in a much more “mind-centric” way. The polyeidic view attempts to expand the multidimensionality recognised in, e.g., biopsychosocial models in two directions: first, it holds that the standard triumvirate—dividing sensory/cognitive/affective factors—needs to be enriched in order to capture important distinctions within the social and psychological dimensions. Second, the polyeidic view attempts to explain why modulation of experience by these social and psychological factors is possible in the first place. It does so by arguing that because the folk concept of pain is complex, different weightings of the different parts of the concept can modulate pain experience in a variety of ways. Finally, we argue that adopting a polyeidic approach to the meaning of pain would have a range of measurable clinical outcomes.Clinical Implications: First, by making a subject’s tacit beliefs about pain explicit it will be possible to create a more open, shared space for pain communication and support a move away from purely quantitative measures of pain towards more discursive pain narratives. Secondly, the polyeidic view might provide a mechanism for predicting who will do well or badly from cognitive interventions for pain management, allowing more efficient use of healthcare resources. Finally, the polyeidic approach might also contribute to the creation of more nuanced cognitive interventions by elucidating the pre-conscious beliefs that influence a subject’s experience of pain. (shrink)

Ruth Garrett Millikan is one of the most important thinkers in philosophy of mind and language of the current generation. Across a number of seminal books, and in the company of theorists such as Jerry Fodor and Fred Dretske, she has championed a wholly naturalistic, scientific understanding of content, whether of thought or words. Many think that naturalism about meaning has found its most defensible form in her distinctively “teleological” approach, and in Language: A Biological Model she continues the expansion (...) and defence of her general position, turning her attention to the role of rule-following in language and the ensuing understanding of issues that lie at the boundary of semantics and pragmatics. (shrink)

This article reconsiders Hannah Arendt’s account of “totalitarianism” in light of the climate catastrophe and the apparent inability of our political-economic system to respond to it adequately. In the last two chapters of The Origins of Totalitarianism, Arendt focuses on the “ideology” of totalitarian regimes: a pathological denial of reality, a privileging of the ideological system over empirical evidence, and a simultaneous feeling of total impotence and total omnipotence—an analysis that maps remarkably well onto the climate zeitgeist. Thus, while Arendt (...) used the concept of “totalitarianism” to foreclose alternatives to liberal capitalist democracy, the climate impasse suggests that the totalitarian label more properly belongs to the prevailing system itself. (shrink)

When does a woman give valid consent to sexual relations? When does her consent render it morally or legally permissible for a man to have sexual relations with her? Why is sexual consent generally regarded as an issue about female consent? And what is the moral significance of consent? These are some of the questions discussed in this important book, which will appeal to a wide readership in philosophy, law, and the social sciences. Alan Wertheimer develops a theory of (...) consent to sexual relations that applies to both law and morality in the light of the psychology of sexual relations, the psychology of perpetrators, and the psychology of the victims. He considers a wide variety of difficult cases such as coercion, fraud, retardation, and intoxication. We can all agree that 'no' means 'no'. This book suggests that the difficult question is whether 'yes' means 'yes'. (shrink)

Reasoning with the maximally consistent subsets of the premises is a well-known approach for handling contradictory information. In this paper we consider several variations of this kind of reasoning, for each one we introduce two complementary computational methods that are based on logical argumentation theory. The difference between the two approaches is in their ways of making consequences: one approach is of a declarative nature and is related to Dung-style semantics for abstract argumentation, while the other approach has a more (...) proof-theoretical flavor, extending Gentzen-style sequent calculi. The outcome of this work is a new perspective on reasoning with MCS, which shows a strong link between the latter and argumentation systems, and which can be generalized to some related formalisms. As a by-product of this we obtain soundness and completeness results for the dynamic proof systems with respect to several of Dung’s semantics. In a broader context, we believe that this work helps to better understand and evaluate the role of logic-based instantiations of argumentation frameworks. (shrink)