In an example of Enlightenment ‘engaged research' and public intellectual practice, Euler established the basis of topology and graph theory through his solution to the puzzle of whether a stroll around the seven bridges of 18th-century Königsberg was possible without having to cross any given bridge twice. This ‘Manifesto' argues that, born in a form of cultural studies, topology offers 21st-century researchers a model for mapping the dynamics of time as well as space, allowing the rigorous description (...) of events, situations, changing cultural formations and social spatializations. Law and Mol's network spaces, Serre's folded time, Massey’s ‘power geometries’, Lefebvre's ‘production of space’ and ‘rhythmanalysis’ can be developed through a cultural topological sensitivity that allows time to be understood as not only progressive but cyclical, relationships and the ‘reach’ of power can be understood through ‘knots', and a topology of experience to model the ‘plushness of the Real' via extra- and over-dimensioned time-spaces that capture nuance while drawing on systematic conceptual resources. (shrink)

Violence, as a concept, has shaped most of human history and discourse. Over the centuries, the concept has gone through dynamic evolutions and should be understood in relation to diverse agents such as nation, nostalgia, and culture. Modern society’s tendency to impede and constrain overt forms of violence has paved the way for covert forms to exist in socio-cultural spheres. Cultural violence is one such realization where aggression gets exercised covertly through heterogenous mediums such as language, regulations, mass (...) media, and most importantly cultural practices. Its topological structures can be traced in national imagination and a sense of cultural nostalgia originating out of it, that ultimately formulates cultural “otherness.” In Gandhian philosophy, the absence of physical aggression is insignificant, if not complemented with the eradication of violence from the cultural and intellectual strata. Gandhi’s critique of exclusive nationalism and narrowness is reflective of a distinct kind of cultural topology that generates structural violence and with the due course of history it gets legitimacy to exert power over the cultural binary it constructed. The fundamental questions of the paper are associated with assessing the role of national imagination and cultural imperatives in germinating the structures of violence in culture, exclusive nationalism, and Gandhian reconsideration of peace in the context of covert violence in the material and intellectual realms. (shrink)

In social and cultural theory, topology has been used to articulate changes in structures and spaces of power. In this introduction, we argue that culture itself is becoming topological. In particular, this ‘becoming topological’ can be identified in the significance of a new order of spatio-temporal continuity for forms of economic, political and cultural life today. This ordering emerges, sometimes without explicit coordination, in practices of sorting, naming, numbering, comparing, listing, and calculating. We show that the effect (...) of these practices is both to introduce new continuities into a discontinuous world by establishing equivalences or similitudes, and to make and mark discontinuities through repeated contrasts. In this multiplication of relations, topological change is established as being constant, normal and immanent, rather than being an exceptional form, which is externally produced; that is, forms of economic, political and cultural life are identified and made legible in terms of their capacities for continuous change. Outlining the contributions to this Special Issue, the introduction discusses the meaning of topological culture and provides an analytic framework through which to understand its implications. (shrink)

Hobbes emphasized that the state of nature is a state of war because it is characterized by fundamental and generalized distrust. Exiting the state of nature and the conflicts it inevitably fosters is therefore a matter of establishing trust. Extant discussions of trust in the philosophical literature, however, focus either on isolated dyads of trusting individuals or trust in large, faceless institutions. In this paper, I begin to fill the gap between these extremes by analyzing what I call the (...) class='Hi'>topology of communities of trust. Such communities are best understood in terms of interlocking dyadic relationships that approximate the ideal of being symmetric, Euclidean, reflexive, and transitive. Few communities of trust live up to this demanding ideal, and those that do tend to be small (between three and fifteen individuals). Nevertheless, such communities of trust serve as the conditions for the possibility of various important prudential epistemic, cultural, and mental health goods. However, communities of trust also make possible various problematic phenomena. They can become insular and walled-off from the surrounding community, leading to distrust of out-groups. And they can lead their members to abandon public goods for tribal or parochial goods. These drawbacks of communities of trust arise from some of the same mecha-nisms that give them positive prudential, epistemic, cultural, and mental health value – and so can at most be mitigated, not eliminated. (shrink)

The concept of "the flesh" (la chair) derives from the writings of Maurice Merleau-Ponty. This was the word he used to name the concrete realm of sentient bodies and life processes that has been eclipsed by the abstractions of science, technology, and modern culture. Topology, to conventional understanding, is the branch of mathematics that concerns itself with the properties of geometric figures that stay the same when the figures are stretched or deformed. Topologies of the Flesh blends continental thought (...) and mathematical imagination, opening up a new area of philosophical inquiry: topological phenomenology. Through its unique application of qualitative mathematics, this work extends the approaches of Merleau-Ponty and Heidegger so as to offer a detailed exploration of previously uncharted dimensions of human experience and the natural world. (shrink)

Today, the convergence of video-based Internet Communication Technologies is challenging centralized control over cultural topologies. Accordingly, this paper proposes a theoretical prism for the analysis of the sociopolitical impact of online audio-visual communication. More precisely, this study discusses how topological visibility and networked visibility interact in today’s digital landscape. To this aim, four examples divided into two clusters will be discussed. The first cluster will describe the functioning of topological visibility, while the second cluster will illustrate how technology-enhanced mediability (...) may create networked spaces of appearance. The paper concludes by arguing that networked visibility does not neutralize the relational nature of the human gaze but rather forces and expands the culturally-defined boundaries of its legitimate social existence. (shrink)

Topology is integral to a shift in socio-cultural theory from a linguistic to a mathematical paradigm. This has enabled in Badiou and Žižek a critique of the symbolic register, understood in terms of pure conceptual abstraction. Drawing on topology, this article understands it instead in terms of the figure. The break with the symbolic and language necessitates a break with form, but topologically still preserves a logic of the figure. This becomes a process of figuration, indeed a (...) process of `deformation'. Badiou/Žižek will then presume a break with the symbolic for `the real'. But topology entails the centrality of not the real but the imaginary. With Castoriadis, this imaginary is understood as productive and social, and with Sloterdijk as spatial. In our times this is a self-organizing socio-technical imaginary. For Niklas Luhmann these socio-technical systems engage in coupling. They structurally couple with other social imaginaries. Their self-organization, going beyond pure functionality, operates through semantic excess: an excess that organizes the system and is their structure. Such structural coupling entails semantic exchange, consisting of not just information but also of images. (shrink)

Recent arguments asserting a topological turn in culture also identify a range of topologically informed interventions in social and cultural theory. Talk of a topological turn evokes both the enduring interest that the field of mathematics presents and the business of analysis in the cultural sphere. This article questions the novelty of this ‘becoming topological of culture’ and digs into a deeper historicity in order to identify the trends that may be said to support the development of (...) class='Hi'>topology in the current situation. It also examines the relationship between mathematics considered ontologically and mathematics considered epistemologically, in order to better grasp the significance of the practical abstractions that mathematics as technics manifests. Discussions of Cantor, Russell, Poincaré, Lévi-Strauss, Lacan and others address the background of contemporary mathematical topology. The article goes on to examine Alain Badiou’s principle that mathematics is ontology and concludes with a discussion of the mathematics of Martin Heidegger. (shrink)

The publication of Michel Foucault’s lectures at the Collège de France in the late 1970s has provided new insight into crucial developments in his late work, including the return to an analysis of the state and the introduction of biopolitics as a central theme. According to one dominant interpretation, these shifts did not entail a fundamental methodological break; the approach Foucault developed in his work on knowledge/power was simply applied to new objects. The present article argues that this reading — (...) which is colored by the overwhelming privilege afforded to Discipline and Punish in secondary literature — obscures an important modification in Foucault’s method and diagnostic style that occurred between the introduction of biopolitics in 1976 (in Society Must Be Defended) and the lectures of 1978 ( Security, Territory, Population) and 1979 ( Birth of Biopolitics). Foucault’s initial analysis of biopolitics was couched in surprisingly epochal and totalizing claims about the characteristic forms of power in modernity. The later lectures, by contrast, suggest what I propose to call a ‘topological’ analysis that examines the ‘patterns of correlation’ in which heterogeneous elements — techniques, material forms, institutional structures and technologies of power — are configured, as well as the redeployments through which these patterns are transformed. I also indicate how attention to the topological dimension of Foucault’s analysis might change our understanding of key themes in his late work: biopolitics, the analysis of thinking, and the concept of governmentality. (shrink)

One can use mathematics not as an instrument or measure, or a replacement for God, but as a poetic articulation, or perhaps as a stammered experimental approach to cultural dynamics. I choose to start with the simplest symbolic substances that respect the lifeworld’s continuous dynamism, temporality, boundless morphogenesis, superposability, continuity, density and value, and yet are independent of measure, metric, counting, finitude, formal logic, syntax, grammar, digitality and computability – in short, free of the formal structures that would put (...) a cage over all of the lifeworld. I call these substances topological media. This article introduces elementary topological concepts with which we can articulate material and cultural change using notions of proximity, limit, and change, without recourse to number or metric. The motivation is that topology furnishes us with concepts well-adapted for poietically articulating the world as stuff, rather than objects with an a priori schema. With care, it may provide a fruitful approach to morphogenesis and cultural dynamics that is neither reductive nor anthropocentric. I will not pretend any systematic application of the scaffolding concepts introduced in this article. Instead, I would see what fellow students of cultural dynamics and cosmopolitics make of these concepts in their own work. (shrink)

This article seeks to address how topological approaches to cultural change might be combined with ethnographic analysis in order to suggest new ways of thinking empirically about the dynamic political and moral spaces that infrastructural systems create and sustain. The analytical focus is on how diverse notions of relationality and connectivity are mobilized in the production of infrastructural systems that sustain the capacity of ‘state-space’ to simultaneously emerge as closed territorial entity and as open, networked form. The article seeks (...) to establish that the differences and discontinuities inherent in all spatio-temporal relations might productively be considered as ‘intervals’ that both separate and connect across time and space. The notion of an infrastructural system as an interface that conjures both topological and topographical space is the idea that I set out to explore. (shrink)

Starting from Poincaré’s assignment of an algebraic object to a topological manifold, namely the fundamental group, this article introduces the concept of categories and their language of arrows that has, since their mid-20th-century inception, altered how large areas of mathematics, from algebra to abstract logic and computer programming, are conceptualized. The assignment of the fundamental group is an example of a functor, an arrow construction central to the notion of a category. The exposition of category theory’s arrows, which operate at (...) three distinct but deeply interconnected levels, is framed by a comparison with the language and outlook of set theory founded on the concept of membership; sets and their theorization having provided, famously through the Bourbaki initiative, the basic ontological and epistemological vocabulary for defining and handling all mathematical entities. The comparison with sets emphasizes how categories offer a form of diagrammatic argument and thought against set theory’s fidelity to syntax-based proofs; how categories invert set theory’s priority of objects and their attributes over relations by making the relations of an object to others of its kin primary; and how categories replace identity, that is, equality, between objects, by the weaker notion of isomorphism, restricting equality to identity between arrows. The article concludes with a return to topology and some remarks about the question of its possible use in articulating/characterizing cultural dynamics. (shrink)

In business and government, databases contain large quantities of digital transactional data (purchases made, services used, finances transferred, benefits received, licences acquired, borders crossed, tickets purchased). The data can be understood as ongoing and dynamic measurements of the activities and doings of people. In government, numerous database devices have been developed to connect such data across services to discover patterns and identify and evaluate the performance of individuals and populations. Under the UK’s New Labour government, the development of such devices (...) was part of a broader policy known as ‘joined-up thinking and government’. Analyses of this policy have typically understood joining up as an operation of adding together distributed data about subjects, which can then be used in the service of government surveillance, the database state or informational capitalism. But rather than such technical or managerialist analytics, I argue that topological analytics capture what these database devices enact and do: they materialize the ‘individuality’ of subjects in intensified, distributed and fluctuating ways and materialize and intensify a logic of what Deleuze describes as modulating controls. Through examples of UK New Labour social policy initiatives over the past decade, I argue that topological analytics can account for these as immanent rather than exceptional properties of database devices and, as such, part and parcel of a governmental logic and ontology of subjects. (shrink)

At the turn of the 21st century, topology, the mathematical study of spatial properties that remain the same under the continuous deformation of objects, has come to invest all fields of aesthetics and culture. In particular, the algebraic topology of continuity has added to the digital realm of binary information, the on and off states of 0s and 1s, an invariant property, which now governs the relation between different forms of data. As this invariant function of continual transformation (...) has entered the field of automated computation, the culture of binary digits has shifted towards a new level of calculation derived from the introduction of temporal quantities into finite sets of algorithmic instructions and parameters. This new level of topological computation, it will be argued, defines new operative procedures of control, constantly adding axioms at the limit of calculation through an invariant function that establishes a smooth or uninterrupted connectivity between distinct data. The establishment of a continual function between distinct forms of data is based on homeomorphism or topological isomorphism between data objects, of which parametricism, as the new global style for architecture and design, is a perfect example. (shrink)

Introduction. Topology is the most general and most fundamental branch of geometry. Logically its study should precede that of other kinds of geometry. But mathematical knowledge, whether regarded as part of our cultural heritage or as the possession of an individual, does not come into being like a building, from a completed foundation to a limited superstructure, but rather grows like a tree with ever-deepening roots as well as ever-spreading branches. So, historically, systematic studies in topology lagged (...) behind Euclid's elements some 2000 years and were unknown a century ago. There has, however, been considerable activity in this field by the present generation, and a number of modern treatments are available for the specialist. In spite of its fundamental nature, the subject is difficult, and many of its problems remain unsolved even today. This difficulty makes it pedagogically advisable to avoid questions of topology germane to other branches of mathematics and there is a distinct scarcity of material available even to the mathematician, whose main interest lies outside this field. (shrink)

The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the practitioners; (...) and (3) the specific forms of representation and notation shared and selected by the practitioners. Moreover, it is claimed that a broadening of the notion of ‘permissible action’ as introduced by Larvor (2012) with respect to mathematical arguments, allows for a consideration of all these three elements simultaneously. Second, a case from topology – the proof of Alexander’s theorem – is presented to illustrate a concrete analysis of a mathematical practice and to exemplify the proposed method. It is discussed that the attention to the three elements of the practice identified above brings to the emergence of philosophically relevant features in the practice of topology: the need for a revision in the definition of criteria of validity, the interest in tracking the operations that are performed on the notation, and the constant and fruitful back-and-forth from one representation to another in dealing with mathematical content. Finally, some suggestions for further research are given in the conclusions. (shrink)

This book explores the evolution of space and time from the apeiron — the spaceless, timeless chaos of primordial nature. Here Western culture’s efforts to deny apeiron are examined, and we see the critical need now to lift the repression of the apeiron for the sake of human individuation.

This book examines and explores Jacques Lacan's controversial topologisation of psychoanalysis, and seeks to persuade the reader that this enterprise was necessary and important. In providing both an introduction to a fundamental component of Lacan's theories, as well as readings of texts that have been largely ignored, it provides a thorough critical interpretation of his work. Will Greenshields argues that Lacan achieved his most pedagogically clear and successful presentations of his most essential and notoriously complex concepts - such as structure, (...) the subject and the real - through the deployment of topology. The book will help readers to better understand Lacan, and also those concepts that have become prevalent in various intellectual discourses such as contemporary continental philosophy, politics and the study of ideology, and literary or cultural criticism. (shrink)

The cultural element is the minimum unit of a cultural system. The systematic categorizing, organizing, and retrieval of the traditional Chinese cultural elements are essential prerequisites for the realization of effective extracting and rational utilization, as well as the prerequisite for exploiting the contemporary value of the traditional Chinese culture. To build an objective, integrated, and reliable classification method and a system of traditional Chinese cultural elements, this study takes the text of Taiping Imperial Encyclopedia in (...) Northern Song Dynasty as the primary data source. The unsupervised word segmentation methods are used to detect Out-of-Vocabulary, and then the segmentation results by the THULAC tool with and without custom dictionary are compared. The TF-IDF algorithm is applied to extract the keywords of cultural elements and the Ochiia coefficient is introduced to create complex networks of traditional Chinese cultural elements. After analyzing the topological characteristics of the network, the community detection algorithm is used to identify the topics of cultural elements. Finally, a “Means-Ends” two-dimensional orthogonal classification system is established to categorize the topics. The results showed that the degree distribution in the complex network of Chinese traditional cultural elements is a scale-free network with γ = 2.28. The network shows a structure of community and hierarchy features. The top 12 communities have taken up to 91.77% of the scale of the networks. Those 12 topics of the traditional Chinese cultural elements are circularly distributed in the orthogonal system of cultural elements’ categorization. (shrink)

This paper brings to light the significance of Merleau-Ponty’s thinking for contemporary physics. The point of departure is his 1956–57 Collège de France lectures on Nature, coupled with his reflections on the crisis in modern physics appearing in THE VISIBLE AND THE INVISIBLE. Developments in theoretical physics after his death are then explored and a deepening of the crisis is disclosed. The upshot is that physics’ intractable problems of uncertainty and subject-object interaction can only be addressed by shifting its philosophical (...) base from objectivism to phenomenology, as Merleau-Ponty suggested. Merleau-Ponty’s allusion to “topological space” in THE VISIBLE AND THE INVISIBLE provides a clue for bridging the gap between “hard science” and “soft philosophy.” This lead is pursued in the present paper by employing the paradoxical topology of the Klein bottle. The hope is that, by “softening” physics and “hardening” phenomenology, the “two cultures” (cf. C. P. Snow) can be wed and a new kind of science be born. (shrink)

How do people reason about spatial relations? Do people with different cultural backgrounds differ in how they reason about space? The aim of our cross-cultural study on spatial reasoning is to strengthen this link between spatial cognition and culture. We conducted two reasoning experiments, one in Germany and one in Mongolia. Topological relations, such as “A overlaps B” or “B lies within C”, were presented to the participants as premises and they had to find a conclusion that was (...) consistent with the premises. The problem description allowed multiple possible “conclusions”. Our results, however, indicate that the participants had strong preferences: They consistently preferred one of the possible conclusions and neglected other conclusions, although they were also logically consistent with the premises. The preferred and neglected conclusions were similar in Germany and Mongolia. We argue that the preferences are caused by universal cognitive principles that work the same way in the western culture and Mongolia. (shrink)

In this article we explore how two enactments of HIV – the UN’s AIDS Clock and clinical trials for an HIV biomedical prevention technology or pre-exposure prophylaxis – entail particular globalizing and localizing dynamics. Drawing on Latour’s and Whitehead’s concept of proposition, and Serres’ call for a philosophy of prepositions, we use the composite notion of pre/pro-positions to trace the shifting topological status of HIV. For example, we show how PrEP emerges through topological entwinements of globalizing biomedical standardization, localizing protests (...) against PrEP trials and globalizing ethical principles. We go on to examine how our own analysis manifests a parallel topological pattern in which we deploy a globalizing argument about the localizing of the globalizing found in the AIDS Clock and the PrEP trails. Finally, we consider how the movement of ‘topology’ into the social sciences might itself benefit from a topological treatment. (shrink)

This essay critically develops Watsuji’s nondual ontology of the self. Watsuji shows that the self is constituted by its relational contact with others and by its immersion in a wider geo-cultural environment. Yet Watsuji himself had difficulty in smoothly bringing together and integrating these notions. By showing how these domains work together to constitute the self, I bring into view the unity at the ground of Watsuji’s thought and the implications of this account for key ideas in Heidegger’s philosophy (...) and for environmental ethics. (shrink)

The ‘mathematical imaginary’ at work in psychology is central to the contingent history of the discipline, but is also responsible for considerable confusion and ambiguity around the ontological assumptions of psychological theories and models. Rather than reject the mathematical altogether, this article argues for an alternative form of mathematical description in psychology through the use of topology. Drawing on DeLanda’s topological account of the virtual, the relationship between psychology and ontology is progressively questioned in relation to memory. Henri Bergson’s (...) conception of duration and the pure past is juxtaposed with the topological psychology of Kurt Lewin and its notion of life space as a manifold with n-dimensions. Using a diagrammatic strategy developed by Mullarkey, an actualist account of the virtual is used to hold these distinct bodies of work together. Psychological events may be given a ‘thick description’ through the identification of topological relations and invariants. The interplay between the actual entities that are afforded in experience can be seen to be virtualized as planes of irreality. A topological approach to psychology offers the opportunity of replacing the taxonomy of essences common to the discipline with a dynamic account of invariance through homeomorphism. (shrink)

The research hypothesis that we call border as method offers a fertile ground upon which to test the potentiality and the limits of the topological approach. In this article we present our hypothesis and address three questions relevant for topology. First, we ask how the topological approach can be applied within the heterogeneous space of globalization, which we argue does not obey the dialectic of inclusion and exclusion. Second, we address the claim of neutrality that is often linked to (...) the topological approach. Our point is that in mapping a space of flows and porous borders, the topological approach must be grasped in its ambivalence; it can become a tool for control as well as a tool for the expansion of freedom and equality. Finally, we argue that it is useful, perhaps even necessary, to locate the topological approach on the border, investigating concrete practices of border crossing that challenge the very possibility of a neutral mapping. (shrink)

Drawing on contemporary pragmatic philosophy and grounded in a reading of techniques associated with digital media as sophist practices of influence and manipulation, this paper proposes an ‘experimental’ reading of key aspects of the topological qualities of the infrastructure of the knowledge economy, with its obsessive attempts at measuring, recording and monitoring, or ‘qualculation’. Taking seriously, albeit with humour, early criticisms of actor-network for its ostensibly Machiavellian proclivities, it offers a series of playful stratagems for the exploration and analysis of (...) power as an emergent property of socio-technical relations. Topology, in this account, becomes relevant to cultural analysis because of the way that it allows us to think together processes constructive of the intensive continua of ‘desiring production’ with the sociotechnical operations of digital media infrastructures. Different elements operative within digital media (the super-hub, the power of small numbers, recursion and relational databases) are read stratagematically – as figures of a praxis (the material practice of immaterial labour), that reveals different facets of the operations of power, while also allowing for counter-tactics to be deployed. Rather than proposing a theoretical account or an empirical analysis, the paper develops what Stengers (2011) calls ‘operative constructs’, which become ingredients for further active exploration of and thinking about the topological qualities of mediatic infrastructure. The paper addresses four different and overlapping areas of digital media from a point of view that considers the plural, compositional quality of media/power relations. (shrink)

The organisation of mammalian mitochondrial DNA (mtDNA) is more complex than usually assumed. Despite often being depicted as a simple circle, the topology of mtDNA can vary from supercoiled monomeric circles over catenanes and oligomers to complex multimeric networks. Replication of mtDNA is also not clear cut. Two different mechanisms of replication have been found in cultured cells and in most tissues: a strand‐asynchronous mode involving temporary RNA coverage of one strand, and a strand‐coupled mode rather resembling conventional nuclear (...) DNA replication. In addition, a recombination‐initiated replication mechanism is likely to be associated with the multimeric mtDNA networks found in human heart. Although an insight into the general principles and key factors of mtDNA organisation and maintenance has been gained over the last few years, there are many open questions regarding replication initiation, termination and physiological factors determining mtDNA organisation and replication mode. However, common themes in mtDNA maintenance across eukaryotic kingdoms can provide valuable lessons for future work. (shrink)

This multifaceted essay emerges from a host of sources within diverse academic settings. Its central thesis is guided by physicist John A. Wheeler's thoughts on the quantum enigma. Wheeler concludes, following Niels Bohr, that we are co-participants within the universal self-organizing process. This notion merges with concepts from Peirce's process philosophy, Eastern thought, issues of topology, and border theory in cultural studies and social science, while surrounding itself with such key terms as complementarity, interdependence, interrelatedness, vagueness, generality, incompleteness, (...) inconsistency, and mestizaje. Ultimately, a sense of semiosic process pervades in light of combined homogenous and hetergenous tendencies. (shrink)

The primary objective of this study was to propose a functional discrete mathematical model for analyzing folklore fairy tales. Within this model, characters are denoted as vertices, and explicit instances of communication – both verbal and non-verbal – within the text are depicted as edges. Upon examining a corpus of Eastern Slavic fairy tales in comparison to Chukchi fairy tales, unforeseen outcomes emerged. Notably, the constructed models seem to evade establishing certain connections between characters. Consequently, instances where the interactions among (...) fairy tale characters would result in a non-planar graph structure are notably absent. To put it differently, the models refrain from incorporating sub-graphs delineated by the Kuratowski theorem governing planar graphs, specifically the minimal non-planar graphs Κ5 and Κ3,3. Remarkably, even in more extensive texts featuring a larger cast of characters, connections that would yield a non-planar graph pattern are consistently avoided. This leads to the formulation of a hypothesis positing that traditional folk tales adhere to a “planar narrative” design – an identifiable narrative variant characterized by inherent limitations in complexity. This design, in turn, appears deeply entrenched within the societal framework of the cultures that produced these folk narratives. (shrink)

ABSTRACTContinental theorists have been increasingly drawn towards elements of the everyday – food, sex, exercise, and so forth – as sites of ethical and epistemological analysis and modification. These analyses have generally been seen separately through the lens of phenomenological, critical, or experimental methods. Despite this division, this paper argues, in line with the work of Bruno Latour, that the analysis of food reveals a complex interplay between the social, political, personal, and experimental dimensions of food. Food should thus be (...) seen as ecological and intermodal, as a complex site of interchange between multiple forms of activity and knowing. This explains both food’s potential for appropriation by multiple projects, but problematizes any single method for analyzing the politics, pleasure or culture surrounding food. (shrink)

We examine data on and models of small world properties and parameters of social networks. Our focus, on tie-strength, multilevel networks and searchability in strong-tie social networks, allows us to extend some of the questions and findings of recent research and the fit of small world models to sociological and anthropological data on human communities. We offer a 'navigability of strong ties' hypothesis about network topologies tested with data from kinship systems, but potentially applicable to corporate cultures and business networks.

This paper examines the limits and possibilities of topological approaches in the social analysis of technology. It proposes that topology should be considered not just as a theory to be adopted, but equally as a device that is deployed in social life in a variety of ways. Digital technologies help to make clear why: these technologies have facilitated the spread of a topological imagination, but they have also enabled a weak form of topological imagination, one that leaves in place (...) deterministic ideas about technology as the principal driver of social change. This paper examines this situation and alternatives to it through an empirical case, that of smart electricity meters. On the one hand, these technologies enable only a limited ‘expansion of the frame’ on technology, one in which the primacy of technology is maintained. But they are also used to render relations between technology and society more complexly. I explore topological devices deployed in this second way, such as the digital visualization tool of tag clouding and propose that this device enables an empirical mode of critique: here, topology does not just help to foreground the entanglement of the social and the technical, it also helps to dramatize the contingent, non-coherent unfolding of issues. (shrink)

This paper reports on a weekend performance event at the Tate Modern that explored how the senses of sound and movement can be used to apprehend geometrical and topological shapes and mathematical concepts. The sound sculpture Knots and Donuts spatialized sound and sonified space. It attuned the ‘mind’s ear’ and the auditory imagination to conceive of a Borromean Knot and a torus within an immersive three-dimensional sound field. Through dance movement, the choreography of Ordinal 5 actualized the specific mathematical entity (...) as understood in category theory. Both parts of the programme are considered as a performance as research experiment with an audience. Its aim was to understand how the sensory experience of the embodied mind might provide a basis of rationality in which meaning is not restricted to text and image, that is, an embodied topology. (shrink)

The distribution of cultural variants in a population is shaped by both neutral evolutionary dynamics and by selection pressures. The temporal dynamics of social network connectivity, that is, the order in which individuals in a population interact with each other, has been largely unexplored. In this paper, we investigate how, in a fully connected social network, connectivity dynamics, alone and in interaction with different cognitive biases, affect the evolution of cultural variants. Using agent‐based computer simulations, we manipulate population (...) connectivity dynamics (early, mid, and late full‐population connectivity); content bias, or a preference for high‐quality variants; coordination bias, or whether agents tend to use self‐produced variants (egocentric bias), or to switch to variants observed in others (allocentric bias); and memory size, or the number of items that agents can store in their memory. We show that connectivity dynamics affect the time‐course of variant spread, with lower connectivity slowing down convergence of the population onto a single cultural variant. We also show that, compared to a neutral evolutionary model, content bias accelerates convergence and amplifies the effects of connectivity dynamics, while larger memory size and coordination bias, especially egocentric bias, slow down convergence. Furthermore, connectivity dynamics affect the frequency of high‐quality variants (adaptiveness), with late connectivity populations showing bursts of rapid change in adaptiveness followed by periods of relatively slower change, and early connectivity populations following a single‐peak evolutionary dynamic. We evaluate our simulations against existing data collected from previous experiments and show how our model reproduces the empirical patterns of convergence. (shrink)

‘The mathematisation of time has limits,’ writes Derrida in ‘Ousia and Gramme.’ Taking this quote in all possible senses, this paper considers Derrida’s definition of limit as gramme, trace, and ap...

“In true love one must see oneself in the absolutely other. This must mean I would die in me to live in you. At the foundation of what I have named the self-consciousness of the absolute nothing, in which I am myself through the fact that in my foundations I see the absolutely other or, better, a Thou: here must lie the meaning of love. In my view the agape of Christianity has this meaning. Agape is not a yearning, but (...) rather much more a sacrifice, the love of God and not the love of a human. This love comes down from God to humans rather than rising from humans up into God.... Just as Augustine puts it: I am myself through the love of God, i.e., through the love of God I am truly I.”2 The late Jesuit .. (shrink)

_Purpose._ The article presents exploring the cultural and anthropological traits of consumers and producers of cultural services and products in the digital epoch. There have been singled out two types of cultural subjectivity according to the aim of a person’s activity in the virtual net: either production of things, services, and technologies or the consumption and creative use of all mentioned innovations. So these sociocultural formations are called "geek" and "chic" subcultures. _Theoretical basis._ The historical genealogy of (...) the definitions was analyzed, so as the changes in social esteem of the contribution of geeky persons to modern art and design practices. Social and cultural identities of those who belong to the modern youth-subcultural communities have been formed according to the topology and temporality of digital trends. To explain the worldview characteristics of the members of those subcultures the concept of "the New Middle Ages" was used to discover the values and pursuits of those who represent geek and chic subcultures. The study is based on the theoretical works of such classical authors as A. Toffler, and Z. Bauman, as well as current investigators of youth cultures. They are Calum Finister, Thomas V. Pollet, Nick Neave, Jessica McCain, Billy Wong. The chic subculture is oriented toward the imitation of visual images, consumer habits, and the way of life of successful (or seemed to be such) people. Glamorous followers need to receive approvals and likes from like-minded people. The geek subculture is more inner-sense-oriented. It unites intellectuals and activists who have common creative intentions. _Originality._ There have been analyzed the main attributes and features of such modern subcultures were conditionally named chic and geek. They were analyzed in the context of the concept of the New Middle Ages. _Conclusions._ The virtual user’s life world seems to be diverse only quantitatively, but qualitatively it is as narrow, mythopoetic, and esoterically uncritical as the world of the Medieval person, who used to live the whole life in the same place, mai in one’s village. But thanks to the merger of the IT industry with effective social management, the geek culture becomes a powerful super-subculture that defends values of social good, industrial productivity, and cultural creativity. Chic subculture creates new trends in fashion and art discourse. It develops modern lifestyles, its visual images with which our era will be associated in the future. (shrink)

Cultural forms are constrained by cognitive biases, and writing is thought to have evolved to fit basic visual preferences, but little is known about the history and mechanisms of that evolution. Cognitive constraints have been documented for the topology of script features, but not for their orientation. Orientation anisotropy in human vision, as revealed by the oblique effect, suggests that cardinal orientations, being easier to process, should be overrepresented in letters. As this study of 116 scripts shows, the (...) orientation of strokes inside written characters massively favors cardinal directions, and it is organized in such a way as to make letter recognition easier: Cardinal and oblique strokes tend not to mix, and mirror symmetry is anisotropic, favoring vertical over horizontal symmetry. Phylogenetic analyses and recently invented scripts show that cultural evolution over the last three millennia cannot be the sole cause of these effects. (shrink)

ABSTRACT Recently, children’s books have used augmented reality as a resource, being called 4D books. Augmented reality allows the user to see through the world while interacting in real-time with images produced digitally, resulting in interactivity. The present study aims to introduce the results of a brief reflection on the illustrated book O reino encantado do pôneis 4D under the approach of the semiotics of culture, departing from the notion of semiosis and semiosphere. The semiosphere, drawn by Lotman (1990), in (...) analogy with the biosphere, can help understand the topology of the real and virtual worlds, referred to as the real subsemiosphere and virtual subsemiosphere, located in the interior of the broader semiosphere of the Brazilian culture. In 4D/Augmented reality books, the elements from the virtual subsemiosphere are placed into the real subsemiosphere, crossing their borders. (shrink)

The presented study introduces a new theoretical model of collapse for social, cultural, or political systems. Based on the current form of quantum anthropology conceptualized by Heidi Ann Russell, further development of this field is provided. The new theoretical model is called the spiral model of collapses, and is suggested to provide an analytical framework for collapses in social, cultural, and political systems. The main conclusions of this study are: 1) The individual crises in the period before a (...) collapse of social, cultural, and political systems form the trajectory of a conical helix similar to a vortex. 2) The occurrences of crises in the period before a collapse have the shape of the trajectory on the surface of the circular cone with a convex wall narrowing up to its peak. The shape of this cone is based on the Fibonacci sequence coiled into the three-dimensional space. 3) The constant circular movement along the trajectory of crises can occur in exceptional situations in the development of social, cultural, and political systems; however, such a state is always temporary. In such cases, the trajectory of the crisis does not follow the Fibonacci sequence, but the shape of a regular helix. Remaining on the trajectory of a regular helix in the long-term is highly improbable for social, cultural, and political systems. 4) The creation of new potentialities after the final collapse of a system is explained by the conception of topological inversion, when the heretofore embodied part of the energy-information field returns to the global, wave-particle energy-information potential. 5) The global, wave-particle energy-information potential is a source of energy-information for future embodiments in the sense of the future collapses of wave functions. (shrink)

We introduce the work of Mariano Picón Salas, who tries to enlarge the Hispanoamerican tradition —historically focused on the web of transits/obstructions between Europe and Latin America— via a larger triangulation that includes the presence of the culture of the United States. His essays from the period 1930-1950 show how pragmatism —understood in Peircean terms as a web of topological transfers of knowledge between the borders of culture— can help to provide a vision that encompasses America as a whole.

Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, (...) I address two criticisms that have been raised in Tatton-Brown against our approach: that it leads to a form of relativism according to which validity is equated with social agreement and that it implies an antiformalizability thesis according to which it is not the case that all rigorous mathematical proofs can be formalized. I reject both criticisms and suggest that our previous case studies provide insight into the plausibility of two related but quite different theses. (shrink)

This article contributes to understanding the effect of complexity theory on the social sciences. It analyses the relationships between complex processes of self-organization and the environment or ecology in which these dynamics take place. Two factors are prioritized: the role of information in the formation of complex structure and the development of ‘landscapes’ or topologies of possibility. The authors argue for an ontology that founds both material and informational structures, and for a radical continuity between the general thermodynamics of emergent (...) complex orders, cognitive theory and the complex structures of human thought and culture. (shrink)

This piece, included in the drift special issue of continent. , was created as one step in a thread of inquiry. While each of the contributions to drift stand on their own, the project was an attempt to follow a line of theoretical inquiry as it passed through time and the postal service(s) from October 2012 until May 2013. This issue hosts two threads: between space & place and between intention & attention . The editors recommend that to experience the (...) drifiting thought that attention be paid to the contributions as they entered into conversation one after another. This particular piece is from the BETWEEN SPACE & PLACE thread: April Vannini, Those Between the Common * Laura Dean & Jesse McClelland, Ballard: A Portrait of Placemaking * Amara Hark Weber, Crossroad * Isaac Linder & Berit Soli-Holt, The Call of the Wild: Terro(i)r Modulations * Ashley D. Hairston, Momma taught us to keep a clean house * Sean Smith, The Garage (Take One) * * * * Preface: Variations of Archiving the Anarchive Through Editorial Witnessing by April Vannini “a diagram is a map, or rather several superimposed maps.” 1 What do we do with essays, art, artefacts, and practices that go against, resist, challenge and reject archival capture or documentation since they do not fit within the screen or manage to move beyond conventional scales? What do we do with an essay or artefact that is the event of the event becoming-event itself, or how do we move from volumetric space to two-dimensional space? How do editors, curators, participants, etc. become witness to an anarchive? And most importantly, what are the potential and unanticipated ways in which a volumetric submission can be diagrammed within a two- dimensional space? In short, how do we archive the anarchive? These are questions that have emerged and have been consciously and purposely activated by Sean Smith’s thinkpiece for this issue, The Garage (Take One) . Sean, as part of his contribution to the special issue of drift within the thread in between space and place , created an artefact that emerged out of an event held during May 2013, titled Cottage University: Topology and Immanence . The visual documentation of The Garage (Take One) is not an archive but an anarchive due to its multimodal form, non-representational diagramming, and its reactivation of non-representational folding which animates its non-representational or more-than -representational condition. In short, The Garage (Take One) stymies attempts to be translated into digital text, representationally. As a reader of Sean’s submission you will only have access to a portion of the original submitted contribution (see “Take One”). At this time, I remain the only witness of The Garage (Take One) in its entirety: I was present at the original event, Cottage University: Topology and Immanence , and I was the sole receiver of the original package because of my role as editor for the thread, in between space and place . However, I would like to stress that I was unaware of what Sean would submit as his contribution to the special issue. What is presented here is an emergent rippling of the event that was not predetermined or arranged in advance ... a drifting of sorts! As for now, the artefact sits here on my desk next to a pile of books—folded, creased and somewhat lost in its translation into digital form. Questions of transcribing, translating and converting volumetric space to two-dimensional space have been considered throughout this process. And more importantly this artefact and its processes raise the issue of not what has been saved and included but what has been left out in each conversion of the original into the academic publication. What follows this preface are various “cuts” or “takes” from The Garage: Take One . Each take or cut is merely an interpretive and representational rendering of the original volumetric submission. Although with that said I would like to propose they are more than just representations or interpretations: each take or cut works as rippling variations of the event itself . It is important to acknowledge that much has been lost in the creases and much still lingers which will never be archived within an academic journal. Hence, a discussion of how to archive the anarchive is so crucial to para-academic “scholarship”. I will sum up the process that has emerged from The Garage (Take One) with a final word from Brian Massumi, written in his foreword to Deleuze and Guattari’s A Thousand Plateaus : Each 'plateau' is an orchestration of crashing bricks extracted from a variety of disciplinary edifices. They carry traces of their former emplacement, which give them a spin defining the arc of their vector. The vectors are meant to converge at a volatile juncture, but one that is sustained, as an open equilibrium of moving parts each with its own trajectory. The word 'plateau' comes from an essay by Gregory Bateson on Balinese culture, in which he found a libidinal economy quite different from the West's orgasmic orientation. In Deleuze and Guattari, a plateau is reached when circumstances combine to bring an activity to a pitch of intensity that is not automatically dissipated in a climax. The heightening of energies is sustained long enough to leave a kind of afterimage of its dynamism that can be reactivated or injected into other activities, creating a fabric of intensive states between which any number of connecting routes could exist. 2 The Garage (Take One) Double Take 2:31pm/5:31pm Sean Smith You there? I just wanted to emphasize a couple of things about the process of the submission: 2:31pm/5:31pm April Warn-Vannini Yes, listening. 2:36pm/5:36pm Sean Smith 1.When you describe feeding forward from the CU (Cottage University) event, it is a WALKING ACTIVITY that reinvests/reactivates the intensive energies of the event. that is what my photos are in Take One......it connects the intensive state of CU to my "one-take" writing on construction paper experience. i'm not sure if i adequately conveyed that or not, or if you did, or how important that is. 2. In doing so, it ruptures open the "space" and "place" of material practice ...and how these may enter into the mediated production of academic journal work...and its flattened two-dimensional experience. 3. the abstract machines of CU (i.e.coming out of silence) are invested with a new diagramming practice (the photo walk) to produce a new text that is neither-nor: "spaced" as a content of that walk (garages), but "placed" as a technical question (coming out of silence to language). 4. the new text is precisely diagrammatic, non-representational, anarchival. ....multimodal. ok, that's all that comes to mind right now. appreciating your efforts. 5. oh, finally, i think you might need a better definition of "anarchive" here..... it was hard to pin them down in montreal on what this is, so you wouldn't be wrong, per se, but more require a working definition for the reader. obviously, as you say, without getting too academic/citations, etc. know what i am saying? 2:46pm/5:46pm April Warn-Vannini 1. Totally got it but I think I did because of our many past conversations about how to archive the event 2. Yes this is what I love about this. And I think you speak to this very carefully in your writing on the Garage. Now whether others pick up on this I don't know. This is why I wanted to see what it would look like if I flattened it (take 3). 5. I agree that a better definition is needed. This is where I've been stumbling because I have not found anything that clearly defines what is meant by anarchive. 2:47pm/5:47pm Sean Smith "with take one being the only remainder of the original submission left to reveal...." precisely because of its digitality!!! yeah, i would probably just append an edited version of what we are saying here, as if the editing process was still a ripple of the event. me "adding" new text later i think defeats the purpose, but if you were to take snippets of this dialogue as part of the anarachive/ 2:48pm/5:48pm April Warn-Vannini Totally! 2:49pm/5:49pm Sean Smith and just *use them*, i think that's fair game. that way i won't be crafting my words with intent. you can even use this profile pic. 2:50pm/5:50pm April Warn-Vannini Okay perfect. With that said, do you think I should just discuss your process further in the preface or include an introduction that would be in take one? 2:51pm/5:51pm Sean Smith could it be Take Two in its own right, like an atemporal ripple that coexists with the others and bumps them to Three, Four and Five? Or could it be called "Double Take" and leave the others as Two, Three, Four? 2:53pm/5:53pm April Warn-Vannini Perfect. I like double take 2:53pm/5:53pm Sean Smith and it's us hashing through this discussion 2:53pm/5:53pm April Warn-Vannini Double take will follow take one. i like this. The Garage (Take Two) Folded, taped (scotch and duct), folded recycled chart paper previous emergent thoughts: performed, inscribed and made anew Red jiffy, black jiffy, blue ink pen cursive writing/block writing diagramming amplification dilated » » » » directional arrows « « « « Moistened, torn, crinkled Ruptures Anarchive of thought events Deciphering language/writing Exchanged as a volumetrics of new spaces Performing tactics of “writing off the page” on the page Enclosed [OPEN THE DOORS, MOVE FROM SURFACE TO VOLUME…AND THE CONVERSATION JUST MIGHT BEGIN ANEW. *stamped* SEAN SMITH] Drifting Drifting Drifting The Garage (Take Three) 6 Sean Smith video from April Vannini on Vimeo . The Garage (Take Four) The Garage (Take Five). (shrink)

In this fascinating but sometimes baffling book, the reader engages with a series of conditionals like the following: “If [the psychiatrist] Clérimbault manifests a delirium, it is because he discovers the tiny hallucinatory perceptions of ether addicts in the folds of clothing”. “If Leibniz’s principles [of identity and sufficient reason] appear to us as cries, it is because each one signals the presence of a class of beings that are themselves crying and draw attention to themselves by these cries...”. Deleuze’s (...) study is concerned with Leibniz and with leibnizianism; with the Baroque considered as a historical period and with the baroque considered as a persistent impulse in architecture, decoration, and in human thinking and system construction. Baroque and baroque are explorations, in his view, of curvilinearity, and Deleuze explores Leibniz’s use of mathematical analogies from topology, projective geometry and the calculus. But his attention in the book is mainly fixed on two Leibnizian images. The first image is that of the two-storied house, typically represented in baroque painting by an angelic realm in the upper half of the picture hovering above the human realm. In Leibniz’s writings, this translates into the world of matter and the world of intelligent, self-conscious spirits on the upper level. The second image is that of the fold, which appears in the pleats and draperies of Baroque costume, sculpture, and interior decoration, and which reappears in Leibniz’s mind-as-folded curtain, in his enveloped organisms, preformed under folds, and in the continuum, from whose recesses ever more numbers or particles can be pulled out. In clothing, waves, the brain, pleats of all sorts, surface disappears into interior. Deconstruction! But is it philosophy? Yes! Though Deleuze pulls his comparison-objects out of every corner of contemporary French culture, they are never arbitrary, and the book is focused clearly on its subject. (shrink)

This book explores the ways in which the spatio-temporal contingency of human life is being conceived in different fields of research. Specifically, it looks at the relationship between the situatedness of human life, the situation or place in which human life is supposed to be situated, and the dimensions of space and time in which both situation and place are usually themselves supposed to be situated. Over the last two or three decades, the spatio-temporal contingency of human life has become (...) an important topic of research in a broad range of different disciplines including the social sciences, the cultural sciences, the cognitive sciences, and philosophy. However, this research topic is referred to in quite different ways: while some researchers refer to it in terms of “situation”, emphasizing the “situatedness” of human experience and action, others refer to it in terms of “place”, emphasizing the “power of place” and advocating a “topological” or “topographical turn” in the context of a larger “spatial turn”. Interdisciplinary exchange is so far hampered by the fact that the notions referred to and the relationships between them are usually not sufficiently questioned. This book addresses these issues by bringing together contributions on the spatio-temporal contingency of human life from different fields of research. (shrink)

Chapter 1 First Person Access to Mental States. Mind Science and Subjective Qualities -/- Abstract. The philosophy of mind as we know it today starts with Ryle. What defines and at the same time differentiates it from the previous tradition of study on mind is the persuasion that any rigorous approach to mental phenomena must conform to the criteria of scientificity applied by the natural sciences, i.e. its investigations and results must be intersubjectively and publicly controllable. In Ryle’s view, philosophy (...) of mind needs to adopt an antimentalist stance to achieve this aim. Antimentalism not only definitively rejects the idea that mind is a substance separated from the body, it also denies that mental phenomena radically differ from physical phenomena by virtue of several unique features. Most problematically, mental phenomena have a conscious character (mental states are related to specific qualitative feelings) and are accessible only to the first-person (only the subject knows directly what s/he is experiencing inside his/her mind). Ryle takes a strong stance on antimentalism going so far as to maintain that an approach to mind which aims to meet the criteria of scientificity set by the natural sciences must avoid any reference to internal, unobservable mental states. In his view (which is considered a specifically philosophical version of psychological behaviorism and also addresses questions put forward in psychological research), mental states can be redescribed in terms of behavioral dispositions. In this chapter, we address the historical roots of the antimentalist view and analyze its relation to the later tradition of research on mind. We show that, compared to the antimentalist stance, functionalism and cognitivism take a step back when they maintain that direct reference to mental states is necessary since mental states cause and therefore explain human behavior. This step backwards is often interpreted as a return to mentalism. However, this is only partially true. Indeed, we suggest that these later traditions retain one important element of Ryle’s antimentalism, i.e. the idea that mental states must be uniquely identified using external and publicly observable criteria, while excluding any reference to introspection and those qualitative dimensions of a mental state, which are accessible only to the first-person. According to the perspective we put forward, this epistemological stance has continued to influence contemporary research on mind and current philosophical and psychological theories which both tend to exclude the subjective qualities of human experience from their accounts of how the mind works. The issue we raise here is whether this is legitimate or whether subjective qualities do play a role with respect to the way our mind works. The conclusion of this chapter anticipates the argument the book makes in in favor of this latter position, starting from a particular angle, i.e. the problem of how we categorize concepts related to our internal states. -/- Chapter 2 The Misleading Aspects of the Mind/Computer Analogy. The Grounding Problem and the Thorny Issue of Propriosensitive Information -/- Abstract. After the crisis of behaviorism, cognitivism and functionalism became the predominant models in the field of psychology and of philosophy, respectively. Their success is mainly due to the new key they use for interpreting mental processes: the mind/computer analogy. On the basis of this analogy, mental operations are seen as cognitive processes based on computations, i.e. on manipulations of abstract symbols which are in turn understood as informational unities (representations). This chapter identifies two main problems with this model. The first is how these symbols can relate to and communicate with perception and thus allow us to identify and classify what we perceive through the senses. Here we limit ourselves to presenting this issue in relation to the classical symbol grounding problem originally put forward by Harnad on the basis of Searle’s Chinese room argument. An attempt to address the problem raised here will be made in chap. 3. The second point we discuss in relation to the mind/computer analogy concerns the idea of information it fosters. Indeed, following this analogy, information is something available in the external world which can be captured by the senses and transmitted to the central system without being influenced or modified by the procedures of transmission. This perspective does not take into account that – unlike computers – in living beings information is acquired by means of the body. As Ulric Neisser has already pointed out, the body is itself an informational source that provides us with additional sensory experience that influences (modifies or complements) the information extracted from the external world by the senses. To develop this line of analysis and to determine exactly what information is provided by the body and how this might influence cognition, we examine Sherrington’s and Gibson’s positions. Moving on from their views, we qualify bodily information in terms of ‘proprioception’. We use ‘proprioception’ in a broad sense to describe any kind of experience we have of our internal states (including postural information as well as sensations related to the general state of the body and its parts). Following Damasio’s and Craig’s studies, we further elaborate this position, arguing that living beings are equipped with an internal propriosensitive monitoring system which maps all the changes that constantly occur in our body and that give us perceptual (‘proprioceptive’ or propriosensitive) information about what happens inside us. Moreover, relying on Goldie’s and Ratcliffe’s view, we show that emotional information can also be considered as a form of ‘proprioception’ which contributes to determining everything we perceive. This analysis leads us to the second main thesis of this book: ‘proprioception’ is a form of internal perception and it is an essential component of the sensory information we can access and use for all cognitive purposes. -/- Chapter 3 Semantic Competence from the Inside: Conceptual Architecture and Composition -/- Abstract. Concepts are essential constituents of thought: they are the instruments we use to categorize our experience, i.e. to classify things and group them together in homogeneous sets. Here we define concepts as the internal mental information (representations) that allows us, among other things, to master words in natural language. By analyzing the way in which individuals master word meanings we explore a number of hypotheses regarding the nature of concepts. Following Diego Marconi’s research, we differentiate between two kind of abilities that underpin lexical competence – so-called ‘referential’ and ‘inferential competence’ – and we suggest that, in order to support these abilities, concepts must also include two corresponding kinds of information, i.e. inferential and referential information. We point out that the most widely used and acknowledged theories of concepts do not make this distinction, instead broadly characterizing the information used for categorization in terms of propositionally described feature lists. However, we show that while feature lists can explain inferential competence, they do not account for referential competence. To address the issue of referential competence we examine Ray Jackendoff’s hypothesis that to account for the possibility of linking perceptual and conceptual information we need to assume the existence of a (visual) representation that encodes the geometric and topological properties of objects and bridges the gap between the percept and the concept. Furthermore, we analyze the extension of this work by Jesse Prinz who introduced the notion of a proxytype, a perceptual representation of a class of objects that incorporates structural and parametric information related to their appearance. However, as we point out, proxytypes can only explain the relationship between perception and concepts with respect to instances that can be perceived through the senses and that belong to the same class by virtue of their physical similarity. We suggest that this notion be extended to include larger conceptual classes. To accomplish this, we further develop Mark Johnson, George Lakoff and Jean Mandler’s idea of a schematic image and argue that conceptual representations include a perceptual schema. Perceptual schemata are non-linguistic, structured experiential gestalts (patterns or maps) that make use of information taken from all sensory modalities, including body perception. They accomplish a quasi-conceptual function: they allow us to recognize and to classify different instances. In this work, we hypothesize that perceptual schemata are an essential component of concepts, but not identical to them. Instead, we suggest that concepts include both perceptual and propositional information with perceptual schemata providing the ‘perceptual core concept’ that grounds related propositional information. -/- Chapter 4 In the Beginning There Were Categories. The Bodily Origin of Prelinguistic Categorical Organization: The Example of Folkbiological Taxonomies -/- Abstract. Studies of categorization in psychology and the cognitive sciences have made use of the notions of ‘category’ and ‘concept’ without precisely defining what is meant by either; in fact, often these terms have been used as synonyms, making it difficult to address specific issues related to conceptual development. This chapter begins by discussing the definitions of, as well as the distinctions between, ‘categories’ and ‘concepts’ in the classical philosophical tradition (Aristotle, Kant and Husserl). We introduce our view of categories with reference to Husserl. Categorization is defined as the way in which our experience is originally (pre-linguistically) organized in a passive and fully unconscious manner on the basis of universal structuring principles. Conceptualization is explained as a later process in which the earlier categorical macro-classes are further subdivided into more specific and detailed sets; this later process also relies on linguistic learning and exposure to culture. On the basis of Ray Jackendoff, Jean Mandler, George Lakoff and Mark Johnson’s work, we hypothesize that categorization is a two-step process that begins with the formation of homogeneous sets of entities partitioned into regions that describe the ontological boundaries of the objects that humans perceive (categories) and continues at a later stage with the development of more specific classifications (concepts). In this chapter, we mainly address three related issues: Why should we assume that there is categorical organization which precedes the development of a conceptual system? How do categories and concepts relate to each other? Shall we hypothesize that categories are innate or that they are formed before concepts on the basis of information and organizational structure available at a very early developmental stage? We show that categorical partitions are necessary for categorization and, following Mandler, that the general categories we form at an early age do not match our adult superordinate concepts. As for the third issue, we argue that there might be no need to assume that categories are innately present in the human mind, since their formation can be explained – at least in certain cases – by basic mechanisms that work on body (propriosensitive) information. This hypothesis will not be discussed in general, but in relation to a particularly relevant example of categorical partition, i.e. the folk-biological dichotomy between ANIMATE/INANIMATE. This is compared with other dichotomies that derive from it, but are not directly categorical such as LIVING/NON-LIVING and BIOLOGICAL/NON-BIOLOGICAL. -/- Chapter 5 Internal States: From Headache to Anger. Conceptualization and Semantic Mastery -/- Abstract. Here we ask if we can also apply the distinction between referential and inferential competence we introduced in Chapter 3 to words that do not refer to things that are perceived using the external senses, especially to words/concepts that denote bodily experiences (such as pain, thirst, hunger, etc.) or emotions. We introduce and discuss the hypothesis that – even though such words/concepts do not refer to intersubjectively identifiable entities in the external world – they do have a kind of referent that can be accessed via direct perception, more specifically ‘proprioception’, as we have defined it in terms of all propriosensitive information we can consciously access. In the first part of the chapter, we specifically consider terms denoting bodily experiences such as ‘pain’ or ‘hunger’ and argue that their referents are identified and classified from a first-personal point of view on the basis of four main characteristics: their specific intensity, their localization in the body, their co-occurrence with other signals and above all their specific qualitative sensations. Emotions are addressed in the second part of the chapter. We suggest that there is a continuity between bodily experiences and emotions. In particular, we argue for a perceptual theory of emotions in line with that proposed by James and Lange at the end of the 19th century and developed more recently by authors such as Damasio (see also chap. 2§5, §6). The hypothesis we put forward is that the referential information that supports the categorization of emotions and therefore also our mastery of terms referring to emotions consists in the perception (i.e. the ‘proprioception’) of those bodily states and changes in bodily states which constitute our emotional experience. In the context of this discussion we examine some objections to this line of reasoning that arise from a cognitivist perspective and following authors such as Oatley, Johnson-Laird and Frijda, we distinguish between basic emotions that can be identified and classified solely on the basis on how they feel and complex emotions whose identification and classification additionally depends on cognitive factors. To describe how emotions are identified and classified on the basis of how they feel, we rely on Marcel and Lambie’s distinction between an ‘emotion state’ and an ‘emotion experience’. Both notions indicate kinds of feelings that we consciously experience. However, they describe first-order and second order emotion awareness respectively. The emotion state is the feeling we have of the bodily states and changes that occur when we are experiencing an emotion, while the emotion experience is the fully developed and integrated emotion we both experience and are, with reflection, aware of experiencing. On the basis of this differentiation, we also show that the same characteristics that aid in the identification and classification of bodily experiences (specific qualitative sensations; somatic localization; specific intensity; presence/absence of specific concomitant sensations) can also be used for the identification and classification of emotions – at least basic emotions. In the last two sections of the chapter we present some clinical evidence on the semantic competence of people who suffer from Alexithymia and Autism Spectrum Disorder which supports the conclusions of our preceding analyses. -/- Chapter 6 The ‘Proprioceptive’ Component of Abstract Concepts -/- Abstract. In this chapter, we address the issue of whether the mastery of abstract words requires only inferential knowledge and thus, if the concepts that support the mastery of abstract words include only linguistic information. We start by differentiating the notions of ‘abstract’ and ‘general’ which are often erroneously confused. We then identify a strict definition of abstract, as contrasted with ‘concrete’, that applies to words or concepts whose referent cannot be experienced by the senses. We argue that abstract words/concepts would be better described as theoretical, because they are usually conceived as structured sets of inferential knowledge expressed linguistically; that is, as small theories. Pointing out parallels with Carnap’s analysis of this issue in philosophy of science, we hypothesize that words/concepts denoting non-observable entities are not all ‘equally theoretical’, because their link to sensory experience can be stronger or weaker. We revive the distinction, inspired by Quine, between theoretical and intertheoretical concepts/words. This distinction relies on the fact that the former – unlike the latter – retains a strong, although indirect, connection with perception. In Quine’s discussion, perception is understood uniquely in terms of observability, i.e. of external sensory experience. Here we argue, however, that bodily, ‘proprioceptive’ (i.e. propriosensitive) experience can also serve to referentially ground theoretical (i.e. abstract) concepts/words. We frame this issue using the example of the theoretical concept ‘freedom’ and Lakoff’s hypothesis that this concept is developed on the basis of bodily information. We contrast this with the example of ‘democracy’ which more closely resembles an intertheoretical concept/word. Furthermore, we show that one of the classical views put forward in psycholinguistic research to explain how abstract concepts are mentally represented – i.e. Paivio’s Dual Coding Theory – points in the same direction as our analysis. The same is true of Barsalou’s work suggesting that we use internal information to understand at least some abstract words. To sustain this position, we put forward two lines of evidence: the first comes from psycholinguistic studies while the second examines deficits of semantic competence exhibited by people with Autism Spectrum Disorder. On the basis of our analysis, we put forward a classification that distinguishes between different kinds of concreteness and different degrees of abstraction: concepts/words referring to body experiences and basic emotions are described as analogous to concrete concepts/words because they are grounded in perceptual (i.e. propriosensitive) experience, while abstract concepts/words are considered more or less abstract depending on whether they are intratheoretical (and rely entirely on inferential information) or theoretical (and are partially grounded in perceptual – or more often in propriosensitive perceptual – information). In the last section of the chapter we consider two scales that have been used in psycholinguistic research to measure the degree of concreteness vs. abstractness of words and we show that – used conjointly – they can provide a measure of the internal vs. external grounding of specific words. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Complex Mimetic SystemsHans Weigand (bio)The goal of science is to make the wonderful and complex understandable and simple—but not less wonderful.—Herb Simon, The Sciences of the Artificial11. IntroductionComplex systems theory stands for an approach in the social as well as natural and computational sciences that studies how interactions between parts give rise to collective behaviors of a system, and how the system interacts and forms relationships with its environment. (...) A typical example is the market economy, in which the order is emergent: it is the result of human action, but not the execution of any human design.2 Complex systems theory is currently a popular vehicle for understanding the complexities of the Internet; other examples of its application are as diverse as the stock market, ant colonies, epidemics, and the spread of business innovations. The focus in this article is on modeling social systems rather than physical or biological phenomena. [End Page 63]The mimetic theory developed by René Girard fits well with a systems perspective, as it has specific ideas about the drivers of human action (at the micro level) and cultural processes (at the macro level). The relationship has been explored earlier in several books and articles;3 in particular, in the work of the Centre de Recherche en Epistémologie Appliquée (CREA) in Paris. The systems perspective received a new stimulus in the 1990s in the form of complex adaptive systems (CAS),4 not least because of the agent-based computer simulations adopted at that time. The objective of this article is to introduce a special version of CAS, called complex mimetic systems (CMS), which builds on mimetic theory. The purpose of this article is twofold. On the one hand, the phrasing of mimetic theory in terms of CMS poses an interesting challenge to the theory to formalize its concepts and explicate possible limitations. On the other hand, CMS might be a useful contribution to the CAS field, as it incorporates concepts such as “social influence” that are very basic to but typically not spelled out in current CAS work.The structure of this article is as follows. In section 2, I briefly review the CAS literature and introduce the idea of complex mimetic systems. Section 3 describes a straw-man agent architecture for CMS, whereas in section 4, I move to the macro level and formalize the culture reproduction cycle. To illustrate the applicability of the CMS framework, I discuss in section 5 Ingo Piepers’s recent CAS analysis of the European international system in the period 1490–1945, and comment on it from a CMS perspective.2. Complex Mimetic SystemsThe characteristic features of complex systems are as follows:• Nonlinear effects: a small perturbation may have a large effect.• Feedback loops: the effects of an element’s behavior are fed back to it in some way. The feedback can be positive (amplification, runaway) or negative (damping).• Openness: a typical complex system interacts with its environment.• Memory: the history of a complex system may be important. Prior states may have an influence on present states.• Nesting, hierarchy: a complex system may itself be an element of a larger complex system. For example, clans in a tribal society, nation-states in an international system, or divisions in a company. [End Page 64]• Topology: the interactions of the elements are enabled and constrained by the network, or grid, of relationships between them.Complex Adaptive SystemsComplex adaptive systems (CAS) are a modern variant of complex systems theory. The elements of a complex adaptive system are called agents, as CAS builds on computational research in the field of multiagent systems.5 Although there is not much difference in the overall objectives, the use of agent simulation opens up interesting research opportunities. Let me clarify this by means of an introductory example given by Miller and Page, the standing ovation problem.6Standing ovations, in which waves of audience members stand up to express their particular appreciation of a performance, usually arise and evolve spontaneously. Suppose that we want to model this phenomenon. A starting point could be a simple mathematical model in which we distinguish N people, each receiving a signal... (shrink)