This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.​ Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and (...) mathematics educators. (shrink)

Tools and technologies expand our capacities, including our cognitive capacities. Microscopes extend our perceptual capacities. Notebooks extend the natural limits of memory. These facts are important, for all that they are obvious. The extended cognition hypothesis wants more. Some external devices and processes are literal parts of cognitive processes themselves. When there is fast and reliable access to external data or processes, then the cognitive processes that occur uncontroversially inside the brain literally and controversially extend out into the world to (...) incorporate external structures or processes. Retrieval of an address from memory and retrieval of the same information from a notebook can both be fully cognitive processes involving fully cognitive representations. So say the proponents of extended cognition.It is an attractive metaphor. But is there any good reason to take it as literal truth? Adams and Aizawa argue that the debate on extended cognition implicates an …. (shrink)

An alarming number of philosophers and cognitive scientists have argued that mind extends beyond the brain and body. This book evaluates these arguments and suggests that, typically, it does not. A timely and relevant study that exposes the need to develop a more sophisticated theory of cognition, while pointing to a bold new direction in exploring the nature of cognition Articulates and defends the “mark of the cognitive”, a common sense theory used to distinguish between cognitive and non-cognitive processes Challenges (...) the current popularity of extended cognition theory through critical analysis and by pointing out fallacies and shortcoming in the literature Stimulates discussions that will advance debate about the nature of cognition in the cognitive sciences. (shrink)

Where does the mind begin and end? Most philosophers and cognitive scientists take the view that the mind is bounded by the skull or skin of the individual. Robert Wilson, in this provocative and challenging 2004 book, provides the foundations for the view that the mind extends beyond the boundary of the individual. The approach adopted offers a unique blend of traditional philosophical analysis, cognitive science, and the history of psychology and the human sciences. The companion volume, Genes and the (...) Agents of Life, explores the theme in the biological sciences. Written with verve and clarity, this ambitious book will appeal to a broad swathe of professionals and students in philosophy, psychology, cognitive science, and the history of the behavioural and human sciences. You can download the table of contents here. (shrink)

Hurley’s is a difficult book to work through—partly because of its length and the complexity of its arguments, but also because each of the ten essays of which it is composed has a rather different starting point and focus, and because few of her arguments achieve real closure. Essay 2 discusses competing interpretations of Kant, essay 4 articulates nonconceptual forms of self-consciousness, essay 5 offers fresh interpretations of commissurotomy patients’ behavior, essay 6 develops an objection to Wittgenstein on rule following, (...) essay 8 attacks an alleged assumption of externalism, and chapter 10 explores the possibility of combining a “motor theory” and a “control theory” of perception. This is a very rich brew, and at least half the challenge this book presents consists in discerning its central argument and conclusion with enough precision to bring criticism to bear. (shrink)

A great deal of philosophy of mind in the modern era has been driven by an intense aversion to Cartesian dualism. In the 1950s, materialists claimed to have succeeded once and for all in exorcising the Cartesian ghost by identifying the mind with the brain. In subsequent decades, cognitive science put scientific meat on this metaphysical skeleton by explicating mental processes as digital computation implemented in the brain's hardware.

Embodied cognition often challenges standard cognitive science. In this outstanding introduction, Lawrence Shapiro sets out the central themes and debates surrounding embodied cognition, explaining and assessing the work of many of the key figures in the field, including George Lakoff, Alva Noë, Andy Clark, and Arthur Glenberg. Beginning with an outline of the theoretical and methodological commitments of standard cognitive science, Shapiro then examines philosophical and empirical arguments surrounding the traditional perspective. He introduces topics such as dynamic systems theory, ecological (...) psychology, robotics, and connectionism, before addressing core issues in philosophy of mind such as mental representation and extended cognition. Including helpful chapter summaries and annotated further reading at the end of each chapter, _Embodied Cognition_ is essential reading for all students of philosophy of mind, psychology, and cognitive science. (shrink)

Optimising the 4E revolution in cognitive science arguably requires the rejection of two guiding commitments made by orthodox thinking in the field, namely that the material realisers of cognitive states and processes are located entirely inside the head, and that intelligent thought and action are to be explained in terms of the building and manipulation of content-bearing representations. In other words, the full-strength 4E revolution would be secured only by a position that delivered externalism plus antirepresentationalism. I argue that one (...) view in 4E space—extended functionalism—is appropriately poised to deliver externalism but not antirepresentationalism. By contrast, in the case of a competing 4E view—radical enactivism—even if that view can deliver antirepresentationalism, its pivotal notion of extensiveness falls short of establishing externalism. These conclusions are justified via an examination of, and by responding critically to, certain key arguments offered in support of their view by the radical enactivists. (shrink)

A critique of the hypothesis of extended cognition.

(From the Press's Website) -/- Winner of the 2004 Lakatos Prize, Thought in a Hostile World is an exploration of the evolution of cognition, especially human cognition, by one of today's foremost philosophers of biology and of mind. Features an exploration of the evolution of human cognition. Written by one of today’s foremost philosophers of mind and language. Presents a set of analytic tools for thinking about cognition and its evolution. Offers a critique of nativist, modular versions of evolutionary psychology, (...) rejecting the example of language as a model for thinking about human cognitive capacities. Applies to the areas of cognitive science, philosophy of mind, and evolutionary psychology. -/- . (shrink)

Leo Corry tells the story behind the idea of number, from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century.

The aim of this paper is to scrutinize active externalism and its repercussions for externalism about mental content. I start from the claim that active externalism is a version of content externalism that follows from the extended cognition thesis as a thesis about cognitive vehicles. Various features of active content externalism are explored by comparison with the known forms of passive externalism – in particular with respect to the multiple realizability of the relevant external content-determining components and with respect to (...) mental causation. A crucial result is that social externalism is already a version of active externalism. I conclude with a first sketch of a general account of meaning inspired by extended cognition: a use theory supplemented by a functional-role account. (shrink)

The ‘causal-constitution’ fallacy, the ‘cognitive bloat’ worry, and the persisting theoretical confusion about the fundamental difference between the hypotheses of embedded (HEMC) and extended (HEC) cognition are three interrelated worries, whose common point—and the problem they accentuate—is the lack of a principled criterion of constitution. Attempting to address the ‘causal-constitution’ fallacy, mathematically oriented philosophers of mind have previously suggested that the presence of non-linear relations between the inner and the outer contributions is sufficient for cognitive extension. The abstract idea of (...) non-linearity, however, can be easily misunderstood and has, in the past, led to incorrect and counterintuitive conclusions about what may count as part of one’s overall cognitive system. In order to prevent any further mistakes I revisit dynamical systems theory to study the nature of the continuous mutual interactions that give rise to the aforementioned non-linear relations. Moreover, focusing on these interactions will allow us to provide two distinct arguments in support of the ontological postulation of extended cognitive systems, as well as an objective criterion of constitution. Accordingly, I put forward a version of HEC that treats continuous mutual interactions (and the resultant non-linear relations) not just as sufficient but also as necessary for cognitive extension. Such a qualified version of HEC may exclude certain alleged cases of cognitive extension where the agent does not mutually interact with his artifacts (e.g., shopping lists and directory services), but it is immune both to the ‘causal-constitution’ fallacy and the ‘cognitive bloat’ worry, and it can be sharply distinguished from HEMC. (shrink)

There is a new way of thinking about the mind that does not locate mental processes exclusively "in the head." Some think that this expanded conception of the mind will be the basis of a new science of the mind. In this book, leading philosopher Mark Rowlands investigates the conceptual foundations of this new science of the mind. The new way of thinking about the mind emphasizes the ways in which mental processes are embodied, embedded, enacted, and extended. The new (...) way of thinking about the mind, Rowlands writes, is actually an old way of thinking that has taken on new form. Rowlands describes a conception of mind that had its clearest expression in phenomenology -- in the work of Husserl, Heidegger, Sartre, and Merleau-Ponty. He builds on these views, clarifies and renders consistent the ideas of embodied, embedded, enacted, and extended mind, and develops a unified philosophical treatment of the novel conception of the mind that underlies the new science of the mind. (shrink)

The paper explores the distinction between two doctrines, both of which inform theory construction in much of modern cognitive psychology: the representational theory of mind and the computational theory of mind. According to the former, propositional attitudes are to be construed as relations that organisms bear to mental representations. According to the latter, mental processes have access only to formal (nonsemantic) properties of the mental representations over which they are defined.The following claims are defended: (1) That the traditional dispute between (...) “rational” and “naturalistic” psychology is plausibly viewed as an argument about the status of the computational theory of mind. Rational psychologists accept a formality condition on the specification of mental processes; naturalists do not. (2) That to accept the formality condition is to endorse a version of methodological solipsism. (3) That the acceptance of some such condition is warranted, at least for that part of psychology which concerns itself with theories of the mental causation of behavior. This is because: (4) such theories require nontransparent taxonomies of mental states; and (5) nontransparent taxonomies individuate mental states without reference to their semantic properties. Equivalently, (6) nontransparent taxonomies respect the way that the organism represents the object of its propositional attitudes toitself, and it is this representation which functions in the causation of behavior.The final section of the paper considers the prospect for a naturalistic psychology: one which defines its generalizations over relations between mental representations and their environmental causes, thus seeking to account for the semantic properties of propositional attitudes. Two related arguments are proposed, both leading to the conclusion that no such research strategy is likely to prove fruitful. (shrink)

In ‘‘The Myth of Original Intentionality,’’ Daniel Dennett appears to want to argue for four claims involving the familiar distinction between original (or underived) and derived intentionality. 1. Humans lack original intentionality. 2. Humans have derived intentionality only. 3. There is no distinction between original and derived intentionality. 4. There is no such thing as original intentionality. We argue that Dennett’s discussion fails to secure any of these conclusions for the contents of thoughts.

Recent experimental evidence from developmental psychology and cognitive neuroscience indicates that humans are equipped with unlearned elementary mathematical skills. However, formal mathematics has properties that cannot be reduced to these elementary cognitive capacities. The question then arises how human beings cognitively deal with more advanced mathematical ideas. This paper draws on the extended mind thesis to suggest that mathematical symbols enable us to delegate some mathematical operations to the external environment. In this view, mathematical symbols are not only used to (...) express mathematical concepts—they are constitutive of the mathematical concepts themselves. Mathematical symbols are epistemic actions, because they enable us to represent concepts that are literally unthinkable with our bare brains. Using case-studies from the history of mathematics and from educational psychology, we argue for an intimate relationship between mathematical symbols and mathematical cognition. (shrink)

This paper will defend the cognitivist view of cognition against recent challenges from Andy Clark and Richard Menary. It will also indicate the important theoretical role that cognitivism plays in understanding some of the core issues surrounding the hypothesis of extended cognition.

Finding the Mind Content Type Journal Article DOI 10.1007/s11098-010-9598-9 Authors Andy Clark, Philosophy, University of Edinburgh, Dugald Stewart Building, 3 Charles Street, Edinburgh, EH8 9AD Scotland, UK Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116.

This paper discusses two perspectives, each of which recognises the importance of environmental resources in enhancing and amplifying our cognitive capacity. One is the Clark–Chalmers model, extended further by Clark and others. The other derives from niche construction models of evolution, models which emphasise the role of active agency in enhancing the adaptive fit between agent and world. In the human case, much niche construction is epistemic: making cognitive tools and assembling other informational resources that support and scaffold intelligent action. (...) I shall argue that extended mind cases are limiting cases of environmental scaffolding, and while the extended mind picture is not false, the niche construction model is a more helpful framework for understanding human action. (shrink)

This paper explores the relationship between several ideas about the mind and cognition. The hypothesis of extended cognition claims that cognitive processes can and do extend outside the head, that elements of the world around us can actually become parts of our cognitive systems. It has recently been suggested that the hypothesis of extended cognition is entailed by one of the foremost philosophical positions on the nature of the mind: functionalism, the thesis that mental states are defined by their functional (...) relations rather than by their physical constituents. Furthermore, it has been claimed that functionalism entails a version of extended cognition which is sufficiently radical as to be obviously false. I survey the debate and propose several ways of avoiding this conclusion, emphasizing the importance of distinguishing the hypothesis of extended cognition from the related notion of the extended mind. (shrink)

Three different ways in which systems of axioms can contribute to the discovery of new notions are presented and they are illustrated by the various ways in which lattices have been introduced in mathematics by Schröder et al. These historical episodes reveal that the axiomatic method is not only a way of systematizing our knowledge, but that it can also be used as a fruitful tool for discovering and introducing new mathematical notions. Looked at it from this perspective, the creative (...) aspect of axiomatics for mathematical practice is brought to the fore. (shrink)

Continuing his exploration of the organization of complexity and the science of design, this new edition of Herbert Simon's classic work on artificial ...

Adams and Aizawa, in a series of recent and forthcoming papers,, ) seek to refute, or perhaps merely to terminally embarrass, the friends of the extended mind. One such paper begins with the following illustration: "Question: Why did the pencil think that 2+2=4? Clark's Answer: Because it was coupled to the mathematician" Adams and Aizawa ms p.1 "That" the authors continue "about sums up what is wrong with Clark's extended mind hypothesis". The example of the pencil, they suggest, is just (...) an especially egregious version of a fallacy said to pervade the literature on the extended mind. This fallacy, which they usefully dub the " coupling-constitution fallacy ", is attributed, in varying degrees and manners, to Van Gelder and Port, Clark and Chalmers, Haugeland, Dennett, Clark, Gibbs, and Wilson. The fallacy, of course, is to move from the causal coupling of some object or process to some cognitive agent, to the conclusion that the object or process is part of the cognitive agent, or part of the agent's cognitive processing ms p.2). Proponents of the extended mind and related theses, Adams and Aizawa repeatedly assert, are prone to this fallacy in part because they either ignore or fail to properly appreciate the importance of " the mark of the cognitive" viz the importance of an account of "what makes something a cognitive agent". The positive part of Adams and Aizawa's critique then emerges as a combination of the assertion that this "mark of the cognitive" involves the idea that "cognition is constituted by certain sorts of causal process that involve non-derived contents" and that these processes look to be characterized by psychological laws that turn out to apply to many internal goings-on but not currently to any processes that take place in non-biological tools and artifacts. In what follows, I shall try to show why these arguments display nothing so much as mutual failures of communication: crossed wires concealing a couple of real, important, but much more subterranean, disagreements. In particular, I try to show why the negative considerations advanced by Adams and Aizawa fail to successfully undermine the argument for the extended mind, and why their more radical positive story, unless supplemented by implausible additional claims, fails to cast doubt on the claim that minds like ours can extend into the world. (shrink)

The objective of this essay is to provide the beginning of a principled classification of some of the ways space is intelligently used. Studies of planning have typically focused on the temporal ordering of action, leaving as unaddressed questions of where to lay down instruments, ingredients, work-in-progress, and the like. But, in having a body, we are spatially located creatures: we must always be facing some direction, have only certain objects in view, be within reach of certain others. How we (...) manage the spatial arrangement of items around us is not an afterthought: it is an integral part of the way we think, plan, and behave. The proposed classification has three main categories: spatial arrangements that simplify choice; spatial arrangements that simplify perception; and spatial dynamics that simplify internal computation. The data for such a classification is drawn from videos of cooking, assembly and packing, everyday observations in supermarkets, workshops and playrooms, and experimental studies of subjects playing Tetris, the computer game. This study, therefore, focuses on interactive processes in the medium and short term: on how agents set up their workplace for particular tasks, and how they continuously manage that workplace. (shrink)

In Being There, Andy Clark weaves these several threads into a pleasing whole and goes on to address foundational questions concerning the new tools and..

In Cognitive Integration: Attacking The Bounds of Cognition Richard Menary argues that the real pay-off from extended-mind-style arguments is not a new form of externalism in the philosophy of mind, but a view in which the 'internal' and 'external' aspects of cognition are integrated into a whole. Menary argues that the manipulation of external vehicles constitutes cognitive processes and that cognition is hybrid: internal and external processes and vehicles complement one another in the completion of cognitive tasks. However, we cannot (...) make good on these claims without understanding the cognitive norms by which we manipulate bodily external vehicles of cognition. -/- Shaun Gallagher: “Menary sets out some extremely welcome clarifications that help to integrate the models of embodied and extended cognition. He not only provides convincing responses to all of the main objections that have been made against these approaches, he also puts flesh on the integrated model by incorporating concepts such as epistemic action, by expanding the discussion to include a Peircean view of representation, by demonstrating its evolutionary roots, and by exploring its implications for language and cognition. This is one of those books that takes us forward a number of giant steps. Menary makes it comprehensive and comprehensible.” . (shrink)

According to the extended cognition hypothesis (henceforth ExC), there are conditions under which thinking and thoughts (or more precisely, the material vehicles that realize thinking and thoughts) are spatially distributed over brain, body and world, in such a way that the external (beyond-the-skin) factors concerned are rightly accorded fully-paid-up cognitive status.1 According to functionalism in the philosophy of mind, “what makes something a mental state of a particular type does not depend on its internal constitution, but rather on the way (...) it functions, or the role it plays, in the system of which it is a part” (Levin 2008). The respective fates of these two positions may not be independent of each other. The claim that ExC is in some way a form of, dependent on, entailed by, or at least commonly played out in terms of, functionalism is now pretty much part of the received view of things (see, e.g., Adams and Aizawa 2008; Clark and Chalmers 1998; Clark 2005, 2008, this volume a, b, forthcoming; Menary 2007; Rupert 2004; Sprevak manuscript; Wheeler forthcoming). Thus ExC might be mandated by the existence of functionally specified cognitive systems whose boundaries are located partly outside the skin. This is the position that Andy Clark has recently dubbed extended functionalism (Clark 2008, forthcoming; see also Wheeler forthcoming). (shrink)

According to the thesis of the extended mind (EM) , at least some token cognitive processes extend into the cognizing subject's environment in the sense that they are (partly) composed of manipulative, exploitative, and transformative operations performed by that subject on suitable environmental structures. EM has attracted four ostensibly distinct types of objection. This paper has two goals. First, it argues that these objections all reduce to one basic sort: all the objections can be resolved by the provision of an (...) adequate and properly motivated criterion—or mark—of the cognitive. Second, it provides such a criterion—one made up of four conditions that are sufficient for a process to count as cognitive. (shrink)

Introduction: Something on the State of the Art 1 I. Functionalism and Realism 1. Operationalism and Ordinary Language 35 2. The Appeal to Tacit Knowledge in Psychological Explanations 63 3. What Psychological States are Not 79 4. Three Cheers for Propositional Attitudes 100 II. Reduction and Unity of Science 5. Special Sciences 127 6. Computation and Reduction 146 III. Intensionality and Mental Representation 7. Propositional Attitudes 177 8. Tom Swift and His Procedural Grandmother 204 9. Methodological Solipsism Considered as a (...) Research Strategy in Cognitive Psychology 225 IV. Nativism 10. The Present Status of the Innateness Controversy 257 Notes 317. (shrink)

In Supersizing the Mind, Andy Clark argues that the human mind is not bound inside the head but extends into body and environment.

Andy Clark and David Chalmers claim that cognitive processes can and do extend outside the head.1 Call this the “hypothesis of extended cognition” (HEC). HEC has been strongly criticised by Fred Adams, Ken Aizawa and Robert Rupert.2 In this paper I argue for two claims. First, HEC is a harder target than Rupert, Adams and Aizawa have supposed. A widely-held view about the nature of the mind, functionalism—a view to which Rupert, Adams and Aizawa appear to subscribe— entails HEC. Either (...) HEC is true, or functionalism is false. The relationship between functionalism and HEC goes beyond support for the relatively uncontroversial claim that it is logically or nomologically possible for cognition to extend (the “can” part of HEC); functionalism entails that cognitive processes do extend in the actual world. Second, I argue that the version of HEC entailed by functionalism is more radical than the version that Clark and Chalmers suggest. I argue that it is so radical as to form a counterexample to functionalism. If functionalism is modified to prevent these consequences, then HEC falls victim to Rupert, Adams and Aizawa’s original criticism. An advocate of HEC has two choices: (1) accept functionalism and radical HEC; (2) give up HEC entirely. Clark and Chalmers’ intermediate position of a modest form of HEC is unsustainable. The argument of this paper, although initially appearing to support Clark and Chalmers, ultimately argues against their position. The price of HEC is rampant expansion of the mind into the world, and the implausibility of such expansion is indicative of deep-seated problems with functionalism. The argument of this paper consequently speaks to wider issues than just the status of HEC. The reasons for.. (shrink)

In treating cognition as problem solving, Andy Clark suggests, we may often abstract too far from the very body and world in which our brains evolved to guide...

What psychological and philosophical significance should we attach to recent efforts at computer simulations of human cognitive capacities? In answering this question, I find it useful to distinguish what I will call "strong" AI from "weak" or "cautious" AI. According to weak AI, the principal value of the computer in the study of the mind is that it gives us a very powerful tool. For example, it enables us to formulate and test hypotheses in a more rigorous and precise fashion. (...) But according to strong AI, the computer is not merely a tool in the study of the mind; rather, the appropriately programmed computer really is a mind, in the sense that computers given the right programs can be literally said to. (shrink)

"Perception is not something that happens to us, or in us," writes Alva Noe. "It is something we do." In Action in Perception, Noe argues that perception and perceptual consciousness depend on capacities for action and thought — that ...