This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include (...) mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics. (shrink)

In _The Meaning of the Body_, Mark Johnson continues his pioneering work on the exciting connections between cognitive science, language, and meaning first begun in the classic _Metaphors We Live By_. Johnson uses recent research into infant psychology to show how the body generates meaning even before self-consciousness has fully developed. From there he turns to cognitive neuroscience to further explore the bodily origins of meaning, thought, and language and examines the many dimensions of meaning—including images, qualities, emotions, and metaphors—that (...) are all rooted in the body’s physical encounters with the world. Drawing on the psychology of art and pragmatist philosophy, Johnson argues that all of these aspects of meaning-making are fundamentally aesthetic. He concludes that the arts are the culmination of human attempts to find meaning and that studying the aesthetic dimensions of our experience is crucial to unlocking meaning's bodily sources. Throughout, Johnson puts forth a bold new conception of the mind rooted in the understanding that philosophy will matter to nonphilosophers only if it is built on a visceral connection to the world. “Mark Johnson demonstrates that the aesthetic and emotional aspects of meaning are fundamental—central to conceptual meaning and reason, and that the arts show meaning-making in its fullest realization. If you were raised with the idea that art and emotion were external to ideas and reason, you must read this book. It grounds philosophy in our most visceral experience.”—George Lakoff, author of _Moral Politics_. (shrink)

Understanding everyday behavior relies heavily upon understanding our ability to improvise, how we are able to continuously anticipate and adapt in order to coordinate with our environment and others. Here we consider the ability of musicians to improvise, where they must spontaneously coordinate their actions with co-performers in order to produce novel musical expressions. Investigations of this behavior have traditionally focused on describing the organization of cognitive structures. The focus, here, however, is on the ability of the time-evolving patterns of (...) inter-musician movement coordination as revealed by the mathematical tools of complex dynamical systems to provide a new understanding of what potentiates the novelty of spontaneous musical action. We demonstrate this approach through the application of cross wavelet spectral analysis, which isolates the strength and patterning of the behavioral coordination that occurs between improvising musicians across a range of nested time-scales. Revealing the sophistication of the previously unexplored dynamics of movement coordination between improvising musicians is an important step towards understanding how creative musical expressions emerge from the spontaneous coordination of multiple musical bodies. (shrink)

What makes a living system a living system? What kind of biological phenomenon is the phenomenon of cognition? These two questions have been frequently considered, but, in this volume, the authors consider them as concrete biological questions. Their analysis is bold and provocative, for the authors have constructed a systematic theoretical biology which attempts to define living systems not as objects of observation and description, nor even as interacting systems, but as self-contained unities whose only reference is to themselves. The (...) consequence of their investigations and of their living systems as self-making, self-referring autonomous unities, is that they discovered that the two questions have a common answer: living systems are cognitive systems, and living as a process is a process of cognition. The result of their investigations is a completely new perspective of biological (human) phenomena. During the investigations, it was found that a complete linguistic description pertaining to the ‘organization of the living’ was lacking and, in fact, was hampering the reporting of results. Hence, the authors have coined the word ‘autopoiesis’ to replace the expression ‘circular organization’. Autopoiesis conveys, by itself, the central feature of the organization of the living, which is autonomy. (shrink)

A proposal that extends the enactive approach developed in cognitive science and philosophy of mind to issues in affective science.

While philosophers of mind have been arguing over the status of mental representations in cognitive science, cognitive scientists have been quietly engaged in studying perception, action, and cognition without explaining them in terms of mental representation. In this book, Anthony Chemero describes this nonrepresentational approach, puts it in historical and conceptual context, and applies it to traditional problems in the philosophy of mind. Radical embodied cognitive science is a direct descendant of the American naturalist psychology of William James and John (...) Dewey, and follows them in viewing perception and cognition to be understandable only in terms of action in the environment. Chemero argues that cognition should be described in terms of agent-environment dynamics rather than in terms of computation and representation. After outlining this orientation to cognition, Chemero proposes a methodology: dynamical systems theory, which would explain things dynamically and without reference to representation. He also advances a background theory: Gibsonian ecological psychology, "shored up" and clarified. Chemero then looks at some traditional philosophical problems through the lens of radical embodied cognitive science and concludes that the comparative ease with which it resolves these problems, combined with its empirical promise, makes this approach to cognitive science a rewarding one. "Jerry Fodor is my favorite philosopher," Chemero writes in his preface, adding, "I think that Jerry Fodor is wrong about nearly everything." With this book, Chemero explains nonrepresentational, dynamical, ecological cognitive science as clearly and as rigorously as Jerry Fodor explained computational cognitive science in his classic work The Language of Thought. (shrink)

Experiences of embodied remembering are familiar and diverse. We settle bodily into familiar chairs or find our way easily round familiar rooms. We inhabit our own kitchens or cars or workspaces effectively and comfortably, and feel disrupted when our habitual and accustomed objects or technologies change or break or are not available. Hearing a particular song can viscerally bring back either one conversation long ago, or just the urge to dance. Some people explicitly use their bodies to record, store, or (...) cue memories. Others can move skilfully, without stopping to think, in complex and changing environments thanks to the cumulative expertise accrued in their history of fighting fires, or dancing, or playing hockey. The forms of memory involved in these cases may be distinct, operating at different timescales and levels, and by way of different mechanisms and media, but they often cooperate in the many contexts of our practices of remembering. (shrink)

There is a small but growing community of researchers spanning a spectrum of disciplines which are united in rejecting the still dominant computationalist paradigm in favor of theenactive approach. The framework of this approach is centered on a core set of ideas, such as autonomy, sense-making, emergence, embodiment, and experience. These concepts are finding novel applications in a diverse range of areas. One hot topic has been the establishment of an enactive approach to social interaction. The main purpose of this (...) paper is to serve as an advanced entry point into these recent developments. It accomplishes this task in a twofold manner: it provides a succinct synthesis of the most important core ideas and arguments in the theoretical framework of the enactive approach, and it uses this synthesis to refine the current enactive approach to social interaction. A new operational definition of social interaction is proposed which not only emphasizes the cognitive agency of the individuals and the irreducibility of the interaction process itself, but also the need for jointly co-regulated action. It is suggested that this revised conception of ‘socio-cognitive interaction’ may provide the necessary middle ground from which to understand the confluence of biological and cultural values in personal action. (shrink)

In this paper we propose that the term skill acquisition, as commonly used in traditional psychology, and the philosophy, education, movement science and performance development literatures, has been biased by an organismic asymmetry. In cognitive and experimental psychology, for example, it refers to the establishment of an internal state or representation of an act which is believed to be acquired as a result of learning and task experience. Here we elucidate an ecological perspective which suggests that the term skill acquisition (...) may not refer to an entity but rather to the emergence of an adaptive, functional relationship between an organism and its environment, thus avoiding an inherent organismic asymmetry in theorizing. In this respect, the terms 'skill adaptation' or 'skill attunement' might be more suitable to describe this process. (shrink)

‘There is no place in the phenomenology of fully absorbed coping’, writes Hubert Dreyfus, ‘for mindfulness. In flow, as Sartre sees, there are only attractive and repulsive forces drawing appropriate activity out of an active body’1. Among the many ways in which history animates dynamical systems at a range of distinctive timescales, the phenomena of embodied human habit, skilful movement, and absorbed coping are among the most pervasive and mundane, and the most philosophically puzzling. In this essay we examine both (...) habitual and skilled movement, sketching the outlines of a multidimensional framework within which the many differences across distinctive cases and domains might be fruitfully understood. Both the range of movement phenomena which can plausibly be seen as instances of habit or skill, and the space of possible theories of such phenomena are richer and more disparate than philosophy easily encompasses. We seek to bring phenomenology into contact with relevant movements in psychological theories of skilful action, in the belief that phenomenological philosophy and cognitive science can be allies rather than antagonists. (shrink)

This study synthesizes current information from the various fields of cognitive science in support of a new and exciting theory of mind. Most psychologists study horizontal processes like memory and information flow; Fodor postulates a vertical and modular psychological organization underlying biologically coherent behaviors. This view of mental architecture is consistent with the historical tradition of faculty psychology while integrating a computational approach to mental processes. One of the most notable aspects of Fodor's work is that it articulates features not (...) only of speculative cognitive architectures but also of current research in artificial intelligence. (shrink)

Embodied agents use bodily actions and environmental interventions to make the world a better place to think in. Where does language fit into this emerging picture of the embodied, ecologically efficient agent? One useful way to approach this question is to consider language itself as a cognition-enhancing animal-built structure. To take this perspective is to view language as a kind of self-constructed cognitive niche: a persisting though never stationary material scaffolding whose critical role in promoting thought and reason remains surprisingly (...) ill-understood. It is the very materiality of this linguistic scaffolding, I suggest, that is responsible for some key benefits. By materializing thought in words, we create structures that are themselves proper objects of perception, manipulation, and thought. (shrink)

Current theories of social cognition are mainly based on a representationalist view. Moreover, they focus on a rather sophisticated and limited aspect of understanding others, i.e. on how we predict and explain others’ behaviours through representing their mental states. Research into the ‘social brain’ has also favoured a third-person paradigm of social cognition as a passive observation of others’ behaviour, attributing it to an inferential, simulative or projective process in the individual brain. In this paper, we present a concept of (...) social understanding as an ongoing, dynamical process of participatory sense-making and mutual incorporation. This process may be described (1) from a dynamical agentive systems point of view as an interaction and coordination of two embodied agents; (2) from a phenomenological approach as a mutual incorporation, i.e. a process in which the lived bodies of both participants extend and form a common intercorporality. Intersubjectivity, it is argued, is not a solitary task of deciphering or simulating the movements of others but means entering a process of embodied interaction and generating common meaning through it. This approach will be further illustrated by an analysis of primary dyadic interaction in early childhood. (shrink)

Theories of embodied cognition abound in the literature, but it is often unclear how to understand them. We offer several interpretations of embodiment, the most interesting being the thesis that mental representations in bodily formats (B-formats) have an important role in cognition. Potential B-formats include motoric, somatosensory, affective and interoceptive formats. The literature on mirroring and related phenomena provides support for a limited-scope version of embodied social cognition under the B-format interpretation. It is questionable, however, whether such a thesis can (...) be extended. We show the limits of embodiment in social cognition. (shrink)

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

In this paper, we start exploring the affective and ethical dimension of what De Jaegher and Di Paolo (Phenomenology and the Cognitive Sciences, 6:485–507, 2007 ) have called ‘participatory sense-making’. In the first part, we distinguish various ways in which we are, and feel, affectively inter-connected in interpersonal encounters. In the second part, we discuss the ethical character of this affective inter-connectedness, as well as the implications that taking an ‘inter-(en)active approach’ has for ethical theory itself.

This paper proposes a basic revision of the understanding of teleology in biological sciences. Since Kant, it has become customary to view purposiveness in organisms as a bias added by the observer; the recent notion of teleonomy expresses well this as-if character of natural purposes. In recent developments in science, however, notions such as self-organization (or complex systems) and the autopoiesis viewpoint, have displaced emergence and circular self-production as central features of life. Contrary to an often superficial reading, Kant gives (...) a multi-faceted account of the living, and anticipates this modern reading of the organism, even introducing the term self-organization for the first time. Our re-reading of Kant in this light is strengthened by a group of philosophers of biology, with Hans Jonas as the central figure, who put back on center stage an organism-centered view of the living, an autonomous center of concern capable of providing an interior perspective. Thus, what is present in nuce in Kant, finds a convergent development from this current of philosophy of biology and the scientific ideas around autopoeisis, two independent but parallel developments culminating in the 1970s. Instead of viewing meaning or value as artifacts or illusions, both agree on a new understanding of a form of immanent teleology as truly biological features, inevitably intertwined with the self-establishment of an identity which is the living process. (shrink)

Experiences of embodied remembering are familiar and diverse. We settle bodily into familiar chairs or find our way easily round familiar rooms. We inhabit our own kitchens or cars or workspaces effectively and comfortably, and feel disrupted when our habitual and accustomed objects or technologies change or break or are not available. Hearing a particular song can viscerally bring back either one conversation long ago, or just the urge to dance. Some people explicitly use their bodies to record, store, or (...) cue memories. Others can move skilfully, without stopping to think, in complex and changing environments thanks to the cumulative expertise accrued in their history of fighting fires, or dancing, or playing hockey. The forms of memory involved in these cases may be distinct, operating at different timescales and levels, and by way of different mechanisms and media, but they often cooperate in the many contexts of our practices of remembering. (shrink)

The question has long confounded philosophers and scientists, and it is this so-called explanatory gap between biological life and consciousness that Evan ...

One of the most notable aspects of Fodor's work is that it articulates features not only of speculative cognitive architectures but also of current research in ...

The Embodied Mind provides a unique, sophisticated treatment of the spontaneous and reflective dimension of human experience.

In this important book, Susan Hurley sheds new light on consciousness by examining its relationships to action from various angles. She assesses the role of agency in the unity of a conscious perspective, and argues that perception and action are more deeply interdependent than we usually assume. A standard view conceives perception as input from world to mind and action as output from mind to world, with the serious business of thought in between. Hurley criticizes this picture, and considers how (...) the interdependence of perceptual experience and agency at the personal level (of mental contents and norms) may emerge from the subpersonal level (of underlying causal processes and complex dynamic feedback systems). Her two-level view has wide implications, for topics that include self-consciousness, the modularity of mind, and the relations of mind to world. The self no longer lurks hidden somewhere between perceptual input and behavioral output, but reappears out in the open, embodied and embedded in its environment. Hurley traces these themes from Kantian and Wittgensteinian arguments through to intriguing recent work in neuropsychology and in dynamic systems approaches to the mind, providing a bridge from mainstream philosophy to work in other disciplines. Consciousness in Action is unique in the range of philosophical and scientific work it draws on, and in the deep criticism it offers of centuries-old habits of thought. (shrink)

The notion of affordance has been introduced by Gibson (1977, 1979) as the feature of an object or the environment that allows the observer to perform an action, a set of “environmental supports for an organism’s intentional activities” (Reybrouck 2005). Studied under very different perspectives, this concept has become a crucial issue not only for the ecological psychology, but also for cognitive sciences, artificial intelligence studies, and philosophy of mind. This variety of approaches has widened the already ambiguous definition originally (...) provided by Gibson, contributing to the development of different standpoints in open contrast with each other (see Zipoli Caiani 2011). During the last two decades, moreover, many researchers tried to extend the notion also to musical experience, aiming to draw a coherent theory of musical affordances (e.g. Clarke 2005; Nussbaum 2007; Krueger 2011a; 2011b). In this paper, we will argue for a particular concept of musical affordances, that is, as we see it, one narrower and less ambiguous in scope and more closely related to its original. Taking the discovery of canonical neurons as our starting point, we will (i) introduce the general notion of affordance, (ii) discuss some significant contributions in this area of research, mostly focusing on musical affordances and (iii) propose a motor-based interpretation of musical affordances. (shrink)

Enactivist Interventions is an interdisciplinary work that explores how theories of embodied cognition illuminate many aspects of the mind, including perception, affect, and action. Gallagher argues that the brain is not secluded from the world or isolated in its own processes, but rather is dynamically connected with body and environment.

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..

Presenting the cultural and neuronal forces that power our distinctively human modes of awareness, the author proposes that the human mind is a hybrid product of interweaving a super-complex form of matter (the brain) with an invisible symbolic web (culture) to form a cognitive network. Reprint. 11,500 first printing.

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...

In this paper, we advance the thesis that music-making can be advantageously understood as an exploratory phenomenon. While music-making is certainly about aesthetic expression, from a phenomenological, cognitive, and even evolutionary perspective, it more importantly concerns structured explorations of the world around us, our minds, and our bodies. Our thesis is based on an enactive and phenomenological analysis of three cases: the first concerns the study of infants involved in early musical activities, and the two latter are phenomenologically inspired interviews (...) with an expert jazz improviser, and members of a prominent string quartet. Across these examples, we find that music-making involves a dual intentionality - one oriented towards the exploration of the sonic, material, and social environment, and one oriented toward the self, including the exploration of bodily awareness and reflective mental states. In enactivist terms, exploration is a fundamental way of making sense of oneself as coupled with the world. Understanding music-making as a pre-eminent case of exploration helps us explicate and appreciate the developmental, sensorimotor, and more advanced cognitive resources that exist in music-making activities. (shrink)

In this paper, we take a critical look at the notion of musical qualia. Although different conceptions of qualia are often used by theorists to describe musical experience, there is little consensus as to just what this entails. Broadly speaking, some argue that qualia are best understood as pregiven attributes of the musical environment, whereas others insist that they are products of information processing confined within the boundaries of the skull. We critically examine these positions and consider how they align (...) with recent work in cognitive science. Although our main goal is to contribute to a richer understanding of what musical experience entails, we present arguments that go beyond the sole domain of music, involving critical neuroscience, Gestalt psychology, and philosophy of mind. Indeed, because music spans such a wide range of human activity, it offers a rich experiential context where theories of cognition may be put to the test. With this in mind, we then explore an alternative embodied perspective that looks beyond dichotomous inner-outer schemas and information-processing frameworks. As we go, we suggest that embodied approaches to musical experience may offer more inclusive and holistic models that better reflect how people actually engage with and talk about music in their day-to-day lives. To conclude, we discuss the relevance of the embodied perspective for the notion of qualia and what such insights might mean for musical research and practice. (shrink)

Open peer commentary on the article “Perception-Action Mutuality Obviates Mental Construction” by Martin Flament Fultot, Lin Nie & Claudia Carello. Upshot: Enactive approaches highlight the deep interdependency of brains, action, agency, and environment in shaping the world we inhabit. This perspective goes beyond input-output models of cognition, postulating instead closed loops of action and perception framed by the agent-environment complementarity. As a unique, dynamical, system, no representational recovery is required for cognitive-behavioral experience to take place.

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)

In this paper I would like to explain, defend, and draw out the implications of this claim. Since the intentional arc is supposed to embody the interconnection of skillful action and perception, I will first lay out an account of skill.

in Jeremy McKenna (ed), At the Boundaries of Cricket, to be published in 2007 as a special issue of the journal Sport in Society and as a book in the series Sport in the Global Society (Taylor and Francis).

Using an enactive approach to trail runners’ activity, this study sought to identify and characterize runners’ phenomenological gestalts, which are forms of experience that synthesize the heterogeneous sensorimotor, cognitive and emotional information that emerges in race situations. By an in-depth examination of their meaningful experiences, we were able to highlight the different typologies of interactions between bodily processes (e.g., sensations, pains), behaviors (e.g., actions, strategies) and environment (e.g., meteorological conditions, route profile). Ten non-professional runners who ran an ultra-trail running race (...) (330 kilometers, 24,000 meters of elevation gain) volunteered to participate in the study. Data were collected in two steps: (1) collection of past activity traces (i.e., race maps, field notes and self-assessment scales) and (2) enactive interviews using the past activity traces in which the runners were invited to relive their experience and describe their activity. The enactive interviews were coded using the course-of-experience methodology to identify the phenomenological gestalts that emerged from activity and scaffolded the runners’ courses of experience. The results revealed that runners typically enact three phenomenological gestalts: controlling global ease, enduring general fatigue and experiencing difficult situations, and feeling freedom in the running pace. These phenomenological gestalts were made up of specific behaviors, involvements and meaningful situated elements that portrayed various ways of achieving an ultra-endurance performance in the race situation. They also highlighted how runners enact a meaningful world by acting in relation to the fluctuations in physical sensations and environmental conditions during an ultra-trail race. Practical applications for preparation, race management and sports psychology interventions are proposed to enrich the existing recommendations. In conclusion, this approach provides new research perspectives by offering a more holistic grasp of activity in trail running through an in-depth analysis of athletes’ experience. In doing so, we may expect that runners can connect these typical gestalts to their own personal experiences and stories as trail runners in order to sustain a viable approach to their sport. (shrink)

Degeneracy is a poorly understood process, essential to natural selection. In the 18th and 19th centuries, the concept of degeneracy was commandeered by the colonial imagination. A rigid understanding of species, race, and culture grew to dominate the normative thinking that persisted well into the burgeoning new industrial age. A 20th-century reconfiguration of the concept by George Gamow highlighted a form of intraorganismic variation that is still underexplored. Degeneracy exists in a population of variants where structurally different components perform a (...) similar, but not necessarily identical, function with respect to context. The presence of degeneracy increases a system’s complexity and robustness against perturbations. The loss of a genetic component in biological systems, for example, can be compensated by redundant elements , or by degenerate elements . A historical survey of the use of the term “degeneracy” reveals how and why the processes it once designated, and the mechanisms it now represents, have largely escaped the purview of contemporary science. Despite confusion and general oversight, degeneracy has been characterized by select researchers at the molecular, genetic, and neuronal levels. The concept is a potent analytical tool to understand selection, variation, and transmission. (shrink)

There is a small but growing community of researchers spanning a spectrum of disciplines which are united in rejecting the still dominant computationalist paradigm in favor of the enactive approach. The framework of this approach is centered on a core set of ideas, such as autonomy, sense-making, emergence, embodiment, and experience. These concepts are finding novel applications in a diverse range of areas. One hot topic has been the establishment of an enactive approach to social interaction. The main purpose of (...) this paper is to serve as an advanced entry point into these recent developments. It accomplishes this task in a twofold manner: it provides a succinct synthesis of the most important core ideas and arguments in the theoretical framework of the enactive approach, and it uses this synthesis to refine the current enactive approach to social interaction. A new operational definition of social interaction is proposed which not only emphasizes the cognitive agency of the individuals and the irreducibility of the interaction process itself, but also the need for jointly co-regulated action. It is suggested that this revised conception of ‘socio-cognitive interaction’ may provide the necessary middle ground from which to understand the confluence of biological and cultural values in personal action. (shrink)

An ethnographer's account of his study of jazz-piano playing, which led to discoveries concerning the ways his hands learned about the keyboard and improvisation, sheds light on the nature and range of improvised conduct.