Beauty, or at least natural beauty, is famously a symbol of the morally good in Kant's theory of taste. Natural beauty is also, we argue, a symbol of the systematicity of nature. This symbolic connection of beauty and systematicity in nature sheds light on the relation between the principles underlying the use of reflecting judgement. The connection also motivates a more general interpretive proposal: the fact that the imagination can symbolize ideas plays a crucial role in the theory of (...) taste; it is the mechanism that underlies pure judgements of taste, the operation by which the imagination ‘schematizes without a concept’. (shrink)

This paper reports the framework, method and main findings of an analysis of cultural milieus in 4 European countries. The analysis is based on a questionnaire applied to a sample built through a two-step procedure of post-hoc random selection from a broader dataset based on an online survey. Responses to the questionnaire were subjected to multidimensional analysis-a combination of Multiple Correspondence Analysis and Cluster Analysis. We identified 5 symbolic universes, that correspond to basic, embodied, affect-laden, generalized worldviews. People in (...) this study see the world as either a) an ordered universe;b) a matter of interpersonal bond;c) a caring society;d) consisting of a niche of belongingness;e) a hostile place. These symbolic universes were also interpreted as semiotic capital: they reflect the capacity of a place to foster social and civic development. Moreover, the distribution of the symbolic universes, and therefore social and civic engagement, is demonstrated to be variable across the 4 countries in the analysis. Finally, we develop a retrospective reconstruction of the distribution of symbolic universes as well as the interplay between their current state and past, present and future socio-institutional scenarios. (shrink)

Methoden. Im obigen Artikel ist die „Phylogenie des Stammbaumes” untersucht worden. Beginnend mitHaeckel werden 26 Typen phylogenetischer Symbole kritisch besprochen, d.h. nicht die Resultate, sondern nur die Methoden, z.B. bezüglich Systematik und Phylogenie, lebender und ausgestorbener Organismen, geologischer Perioden, Stufen und homologer Variationen, geographischer Verbreitung, Diversität, etwaiger Bedeutung der Einzelheiten, Mono-, Bi- und Polyrheithrie , usw. Der Faktor Zeit wird dabei für phylogenetische Systeme als der wesentlichste betrachtet. Der Autor hat daher in seinen- neuen Darstellungen die Begriffe „Zeit-Stufen” oder „Zeit-Globen-Oberflächen” (...) eingeführt; diese stehen senkrecht zum „Zeit-Radius”. Auf diesem Grunde wird ein neues Kriterium zur Unterscheidung systematischer und phylogenetischer Vorstellungen denjenigen anderer Autoren hinzugefügt. Erläuterungen. Nach einer Übersicht über die besprochenen Schemen im 1. Teil werden die Verhältnisse zwischen systematischen und phylogenetischen Darstellungen sowie die Verbindung ihrer Symbole untersucht. Es wird gezeigt, dass viele Einzelheiten solcher Konstruktionen oft, wissentlich oder unwissentlich, keine bestimmte Bedeutung haben. Der Verfasser hat versucht zu zeigen, dass es erwünscht wäre, möglichst mit allen Einzelheiten einer symbolischen Darstellung irgendeine Bedeutung zu verbinden: Linien und Entfernungen in der Ebene, Winkel in räumlichen Schemen. Die letztgenannten werden besonders für solche Arten von phylogenetischen Systemen empfohlen, bei denen der Faktor Zeit stets eine der Dimensionen bildet. Dieser Grundsatz wird mit der Evolution systematischer Einzelheiten in Verbindung gebracht, und Merkmals-Phyletik, homologe Variationen, Stufen, Polyrheithrie, Analogie und Homologie, Konvergenz und Verwandtschaft, etc. werden kurz im Lichte der Vererbungslehre besprochen. Es istHayata's extrem dynamischen Ansichten zu verdanken, dass das Statische in den systematischen und phylogenetischen Darstellungen aufgelockert worden ist. Méthodes. Dans l'article inséré ci-dessus il s'agit de ce qu'on pourrait appeler „la phylogénie de l'arbre généalogique”. En commençant parHaeckel , l'auteur discute 26 types divers de symboles phylogénétiques, c.à.d. seulement les méthodes , par exemple en ce qui concerne la taxonomie et la phylogénie, les organismes récents et éteints, les périodes géologiques, les niveaux et les variations homologues, la distribution géographique, la diversité, la signification éventuelle des détails, la mono-, bi- et polyrheithrie , etc. Le Temps est considéré comme l'élément le plus essentiel dans tout système phylogénétique. Par conséquence, l'auteur a introduit dans ses nouvelles représentations les idées de „Niveaux” ou de „Surfaces des Sphères du Temps” qui sont imaginés perpendiculaires au Radius-Temps. Dans l'ordre de ces idées un nouveau critère est ajouté à ceux donnés par d'autres auteurs pour la distinction des systèmes taxonomiques et des représentations phylogénétiques. Justifications. Après une récapitulation des systèmes, énumérés dans la première partie, les relations des constructions taxonomiques et phylogénétiques, ainsi que les connections de leurs symboles sont discutées. Souvent plusieurs détails sont, sciemment ou insciemment, dépourvus de toutes signification. L'auteur a essayé de démontrer qu'il serait désirable d'attribuer autant que possible de significations définies au détails d'une représentation symbolique de la nature décrite: aux lignes et aux distances dans le plan, aux angles dans l'espace. Les constructions tridimensionales sont particulièrement recommandées pour plusieurs systèmes phylogénétiques; dans de tels systèmes le Temps devrait toujours remplir la fonction d'une des dimensions. Ce principe est mis en rapport avec l'évolution des unités taxonomiques; phylogénie des charactères, variations homologues, niveaux, polyrheithrie, analogie et homologie, convergence et relations héréditaires, tous ces sujets sont brièvement discutés dans leurs rapports avec la Génétique. Selon l'opinion de l'auteur, c'est aux idées ultra-dynamiques d'Hayata que la taxonomie et la phylogénie doivent la pénétration féconde du dynamisme dans leurs systèmes trop souvent statiques. (shrink)

I consider how several results from cognitive science bear on the nature of representation and how representations might be structured. Distinguishing two notions of representation, presentations, which are cases of direct sensing, and symbols, which stand in for something else, I argue that only symbols pose a philosophical problem for naturalizing content. What is required is an account of how one thing can stand in for another. Milner and Goodale’s dual route model of vision offers a model for this ‘stand-in’ (...) relation. Following this model, symbols must play a functional role of activating cognitive operations relevant to what the symbols stand in for. What emerges is an interconnected network of symbols whose tokenings are central – as opposed to modular – cognitive operations. A consequence of this view, which I call an acquired language of thought (ALOT) since most of the symbols humans use are the words of a natural language, is that the framework for central cognition is constructed during the acquisition of a natural language lexicon.Presentations and Symbols: What Cognition Requires of Representationalism. (shrink)

Occasional Papers in Cassirer and Cultural-Theory Studies presented at the University of Glasgow's Centre for Intercultural Studies. Given the growing disenchantment, on all sides, with the 'high theory' of the 1970s and 1980s, and with the dominant master-trope of literary and cultural reflexion of the 1980s and 1990s, the extended metaphor or 'allegory', this volume offers a timely re-examination of what, according to Goethe, is a deeper mode of understanding the symbol. Via the life-long preoccupation of Ernst Cassirer with the (...) problems of 'symbolic form', as he christened it, the papers collected here try to come to terms with the thinking of Goethe and Schiller on the symbol, and on related issues. Taken together, they attempt to elucidate the filiation of German classicism down through the nineteenth century to the present, in the belief that some of Cassirer's ideas have fed, often unacknowledged, into the mainstream of contemporary cultural theory, and that the rigour of his thought can help clear up much of the confusion in that 'theory'. (shrink)

The famous story of the choice of Hercules became one frequently depicted in Western art and, as Ernst Panofsky showed, the various treatments of this theme demonstrate the significance of cultural continuity through the centuries. At the same time, the motif of Hercules and his choice presents us with a challenge to current theoretical approaches to culture. We can either take the easy path and accept the current hermeneutic orthodoxies of popular cultural studies, or we can choose a harder but, (...) ultimately, more rewarding path: the philosophy of culture articulated by Ernst Cassirer. This volume brings together a collection of papers which reflects the broad sweep, both historical and theoretical, of Cassirer's philosophy of symbolic forms. They range from language-theory to myth and religion; and all are set, with varying degrees of emphasis, in a comparative context. (shrink)

Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill1,2. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations3,4, and their performance suffers if this nonsymbolic system is impaired5. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required6–10. (...) Here we report that young children, who have mastered verbal counting and are on the threshold of arithmetic instruction, can build on their nonsymbolic number system to perform symbolic addition and subtraction11–15. Children across a broad socio-economic spectrum solved symbolic problems involving approximate addition or subtraction of large numbers, both in a laboratory test and in a school setting. Aspects of symbolic arithmetic therefore lie within the reach of children who have learned no algorithms for manipulating numerical symbols. Our findings help to delimit the sources of children’s difficulties learning symbolic arithmetic, and they suggest ways to enhance children’s engagement with formal mathematics. We presented children with approximate symbolic arithmetic problems in a format that parallels previous tests of non-symbolic arithmetic in preschool children8,9. In the first experiment, five- to six-year-old children were given problems such as ‘‘If you had twenty-four stickers and I gave you twenty-seven more, would you have more or less than thirty-five stickers?’’. Children performed well above chance (65.0%, t1952.77, P 5 0.012) without resorting to guessing or comparison strategies that could serve as alternatives to arithmetic. Children who have been taught no symbolic arithmetic therefore have some ability to perform symbolic addition problems. The children’s performance nevertheless fell short of performance on non-symbolic arithmetic tasks using equivalent addition problems with numbers presented as arrays of dots and with the addition operation conveyed by successive motions of the dots into a box (71.3% correct, F1,345 4.26, P 5 0.047)8.. (shrink)

We are familiar with the idea of symbolic value in everyday contexts, and philosophers sometimes help themselves to it when discussing other topics. However, symbolic value itself has not been sufficiently studied. What is it for something to have symbolic value? How important is symbolic value? The present purpose is to shed some light on the nature and significance of symbolic value. Two kinds of symbolic value are distinguished, called the ‘symbolic mode of (...) valuing’ and ‘symbolism as a ground of value’. Their potential significance lies in making a thoroughly relational contribution to thought about values, compared to the individualistic nature of more familiar values. This relational contribution consists in the role of symbols in shared ways of living. (shrink)

Math anxiety results in a drop in performance on various math-related tasks, including the symbolic number ordering task in which participants decide whether a triplet of digits is presented in order (e.g. 3-5-7) or not (e.g. 3-7-5). We investigated whether the strategy repertoire and reaction times during a symbolic ordering task were affected by math anxiety. In study 1, participants performed an untimed symbolic number ordering task and indicated the strategy they used on a trial-by-trial basis. The (...) use of the memory retrieval strategy, based on the immediate recognition of the triplet, decreased with high math anxiety, but disappeared when controlling for general anxiety. In the study 2, participants completed a timed version of the number order task. High math-anxious participants used the decomposition strategy (e.g. 5 is larger than 3 and 7 is larger than 5 to decide whether 3-5-7 is in the correct order) more often, and were slower in responding when both memory- and other decomposition strategies were used. Altogether, both studies demonstrate that high-math anxious participants are not only slower to decide whether a number triplet is in the correct order, but also rely more on procedural strategies. (shrink)

Developmental dyscalculia (DD) is a pervasive difficulty affecting number processing and arithmetic. It is encountered in around 6% of school-aged children. While previous studies have mainly focused on general cognitive functions, the present paper aims to further investigate the hypothesis of a specific numerical deficit in dyscalculia. The performance of 10- and 11-year-old children with DD characterised by a weakness in arithmetic facts retrieval and age-matched control children was compared on various number comparison tasks. Participants were asked to compare a (...) quantity presented in either a symbolic (Arabic numerals, number words, canonical dots patterns) or a nonsymbolic format (noncanonical dots patterns, and random sticks patterns) to the reference quantity 5. DD children showed a greater numerical distance effect than control children, irrespective of the number format. This favours a deficit in the specialised cognitive system underlying the processing of number magnitude in children with DD. Results are discussed in terms of access and representation deficit hypotheses. (shrink)

Humans are often extraordinary at performing practical reasoning. There are cases where the human computer, slow as it is, is faster than any artificial intelligence system. Are we faster because of the way we perceive knowledge as opposed to the way we represent it? -/- The authors address this question by presenting neural network models that integrate the two most fundamental phenomena of cognition: our ability to learn from experience, and our ability to reason from what has been learned. This (...) book is the first to offer a self-contained presentation of neural network models for a number of computer science logics, including modal, temporal, and epistemic logics. By using a graphical presentation, it explains neural networks through a sound neural-symbolic integration methodology, and it focuses on the benefits of integrating effective robust learning with expressive reasoning capabilities. -/- The book will be invaluable reading for academic researchers, graduate students, and senior undergraduates in computer science, artificial intelligence, machine learning, cognitive science and engineering. It will also be of interest to computational logicians, and professional specialists on applications of cognitive, hybrid and artificial intelligence systems. (shrink)

This book will attempt to achieve a constructive and positive correla tion between mythic-symbolic language and philosophical anthropolo gy. It is intended as a reflection on the philosophical accomplishment of Paul Ricoeur. The term mythic-symbolic language in this context means the language of the multivalent symbol given in the myth with its psychological and poetic counterparts. The term symbol is not con ceived as an abstract sign as it is used in symbolic logic, but rather as a (...) concrete phenomenon - religious, psychological, and poetic. The task inherent in this correlation is monumental when one considers the dual dilemma of problematic and possibility which is at its heart. The prob lematic arises out of the apparent difficulty presented by the so-called challenge of modernity which seems to require the elimination of my thic-symbolic language as an intelligible mode of communication. Mythic-symbolic language is sometimes eliminated because in a world molded by abstract conceptualizations conceptUalizations of science, such a language is thought to be unintelligible. The claim is that its "primitive" explana tions have been transcended by our modernity. Others believe that the problem of mythic-symbolic language is the problem of the myth. If the mythic forms of language could be eliminated, the truth of such language could be preserved through its translation into an intelligible mode of discourse. The problematic is heightened further by the relation of consider ations of language to philosophical anthropology. (shrink)

Author: Domaradzki Mikołaj Title: SYMBOL AND ALLEGORY IN THE PHILOSOPHICAL EXEGESIS OF THE STOICS (Symbol i alegoria w filozoficznej egzegezie stoików) Source: Filo-Sofija year: 2011, vol:.13/14, number: 2011/2-3, pages: 719-736 Keywords: STOIC EXEGESIS, SYMBOL, ALLEGORY, CHRYSIPPUS, CORNUTUS, HERACLITUS THE ALLEGORIST Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:The present paper aims to ascertain whether, and if so, to what extent the modern distinction between the concepts of ‘symbol’ and ‘allegory’ can be applied (...) to Stoic hermeneutical activity. The philosophy of the Stoics invites such a discussion, since the philosophers were the first thinkers in antiquity to actually have used the terms with reference to the process of retrieving the hidden meaning of various literary constructions. Thus, Chrysippus’ interpretation of the myth of Athena’s birth provides the point of departure for our considerations, since it is in the philosopher’s exegesis that we find the very first use of the word ‘symbol’ understood as a theoretical tool for interpreting texts. Subsequently, the article proceeds to discuss the interpretations of the same myth that were presented by Cornutus and Heraclitus who use the words ‘symbol’ and ‘allegory’ interchangeably. While the paper argues that in none of the cases analyzed do we find an understanding of the terms ‘symbol’ or ‘allegory’ that would entirely correspond to modern definitions of the terms, it also stresses that the impossibility of classifying Stoic interpretations as either solely ‘symbolical’ or solely ‘allegorical’ does not diminish the cultural import of Stoic hermeneutical activity. (shrink)

This article locates Ernesto Laclau’s populist reason as a point of departure to understand the contemporary democratic logic and its so-called ‘excesses’. It argues that, even if resourceful, Laclau’s findings can be supplemented with a theory of the imaginary as developed by Cornelius Castoriadis, as well as with key remarks from a discussion of the theologico-political as this was characterized by Claude Lefort. The aim is to construct an understanding on the political as it is structured by language and the (...) symbolic, presenting thus democracy and populism as two opposing sides of a foundational political myth. (shrink)

This essay presents a phenomenological analysis of the functioning of symbols as elements of the life-world with the purpose of demonstrating the interrelationship of individual and society. On the basis of Alfred Schutz''s theory of the life-world, signs and symbols are viewed as mechanisms by means of which the individual can overcome the transcendences posed by time, space, the world of the Other, and multiple realities which confront him or her. Accordingly, the individual''s life-world divides itself into the dimensions of (...) time, space, the social world and various reality spheres which form the boundaries or transcendences that the I has to understand and integrate. Signs and symbols are described as appresentational modes which stand for experiences originating in the different spheres of the life-world within the world of everyday life, within which they can be communicated, thereby establishing intersubjectivity. Schutz''s theory of the symbol explains how social entities – such as nations, states or religious groups – are symbolically integrated to become components of the individual''s life-world. The following paper reconstructs Schutz''s concept of the symbol as a crucial component of his theory of the life-world, which is seen as an outstanding phenomenological contribution to the theory of the sign and the symbol in general. (shrink)

Ernst Cassirer occupies a unique space in Twentieth-century philosophy. A great liberal humanist, his multi-faceted work spans the history of philosophy, the philosophy of science, intellectual history, aesthetics, epistemology, the study of language and myth, and more. The Philosophy of Symbolic Forms is Cassirer's most important work. It was first published in German in 1923, the third and final volume appearing in 1929. In it Cassirer presents a radical new philosophical worldview - at once rich, creative and controversial - (...) of human beings as fundamentally "symbolic animals," placing signs and systems of expression between themselves and the world. This major new translation, the first for over fifty years, brings Cassirer's magnum opus to a new generation of students and scholars. Volume 1: Language is a fascinating examination of arguably the most fundamental of these systems of expression: human language. Cassirer traces the problem of language and expression far back in the history of philosophy, considering the work of the early Greek rationalists. He then examines the later empiricist tradition, up to the romantic tradition in the nineteenth century tackling fundamental questions about representation, signification and expression as well as language and conceptual thought in mathematics and science. Correcting important errors in previous English editions, this translation reflects the contributions of significant advances in Cassirer scholarship over the last twenty to thirty years. Each volume includes a new introduction and translator's notes by S. G. Lofts, a foreword by Peter Gordon, a glossary of key terms, and a thorough index. (shrink)

In 1911 Jung published a book of which he says: '...it laid down a programme to be followed for the next few decades of my life.' It was vastly erudite and covered innumerable fields of study: psychiatry, psychoanalysis, ethnology and comparitive religion amongst others. In due course it became a standard work and was translated into French, Dutch and Italian as well as English, in which language it was given the well-known but somewhat misleading title of _The Psychology of the (...) Unconscious_. In the Foreword to the present revised edition which first appeared in 1956, Jung says: '...it was the explosion of all those psychic contents which could find no room, no breathing space, in the constricting atmosphere of Freudian psychology... It was an attempt, only partially successful, to create a wider setting for medical psychology and to bring the whole of the psychic phenomena within its purview.' For this edition, appearing ten years after the first, bibliographical citations and entries have been revised in the light of subsequent publications in the _Collected Works_ and in the standard edition of Freud's works, some translations have been substituted in quotations, and other essential corrections have been made, but there have been no changes of substance in the text. (shrink)

In Section Two of Second Piece of Religion, Immanuel Kant presents a step‐by‐ step assessment of the biblical account of salvation, starting with the Genesis narrative, proceeding from there to the life and teachings of Jesus, and concluding with his death and resurrection as the source of a new freedom. The main text of the Second Piece then ends with a summary interpretation of the rational meaning of biblical symbols regarding the struggle between good and evil. Kant gives an account (...) of the metaphorical description of the struggle between evil and good‐a description that portrays the struggle through the symbolism of two external powers (Satan and God). The chapter focuses separately on several equally important themes Kant emphasizes in the development of the second experiment. (shrink)

What is the relation between the material, conventional symbol structures that we encounter in the spoken and written word, and human thought? A common assumption, that structures a wide variety of otherwise competing views, is that the way in which these material, conventional symbol-structures do their work is by being translated into some kind of content-matching inner code. One alternative to this view is the tempting but thoroughly elusive idea that we somehow think in some natural language (such as English). (...) In the present treatment I explore a third option, which I shall call the "complementarity" view of language. According to this third view the actual symbol structures of a given language add cognitive value by complementing (without being replicated by) the more basic modes of operation and representation endemic to the biological brain. The "cognitive bonus" that language brings is, on this model, not to be cashed out either via the ultimately mysterious notion of "thinking in a given natural language" or via some process of exhaustive translation into another inner code. Instead, we should try to think in terms of a kind of coordination dynamics in which the forms and structures of a language qua material symbol system play a key and irreducible role. Understanding language as a complementary cognitive resource is, I argue, an important part of the much larger project (sometimes glossed in terms of the "extended mind") of understanding human cognition as essentially and multiply hybrid: as involving a complex interplay between internal biological resources and external non-biological resources. (shrink)

The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...) In this case, no symbol grounding could take place since any grounding presupposes intentional cognitive processes. So, whether computing in the mind is over meaningless or over meaningful symbols, computationalism implies semantic nativism. (shrink)

In their recent paper “Do Accelerating Turing Machines Compute the Uncomputable?” Copeland and Shagrir draw a distinction between a purist conception of Turing machines, according to which these machines are purely abstract, and Turing machine realism according to which Turing machines are spatio-temporal and causal “notional" machines. In the present response to that paper we concede the realistic aspects of Turing’s own presentation of his machines, pointed out by Copeland and Shagrir, but argue that Turing's treatment of symbols in (...) the course of that presentation opens the door for later purist conceptions. Also, we argue that a purist conception of Turing machines plays an important role not only in the analysis of the computational properties of Turing machines, but also in the philosophical debates over the nature of their realization. (shrink)

Perspective, Symbol, and Symbolic Form: Concerning the Relationship between Cassirer and Panofsky During the last two decades of the twentieth century, there was a sudden surge of interest in Ernst Cassirer’s major work, The Philosophy of Symbolic Forms (1923–29), and Erwin Panofsky’s essay, ‘Perspective as Symbolic Form’ (1927), an interest that has continued uninterrupted to the present day. Particularly amongst art historians, however, a serious misunderstanding remains evident here – the confusing of ‘symbolic form’ with ‘symbol’. (...) Cultural and perceptual mediations, in which objects (and subjects) are only just in the process of forming, are carelessly turned into arbitrary, isolated objects of art history or pictorial history. Every work, in this view, is regarded as a ‘symbolic form’ to the extent that a representation of the world is ‘expressed’ in it. This article initially reviews Panofsky’s essay in order to establish the context in which the art historian uses the term ‘symbolic form’. His use of it is then compared with Cassirer’s original understanding of the term. A careful distinction is made between ‘symbol’, ‘symbolic pregnance’, and ‘symbolic form’, and this is followed by an analysis of scattered remarks in Cassirer’s writings, and particularly in his posthumous manuscripts and notes, on ‘art’ as symbolic form and on the spatial form that is prior to all perception and art production, as well as his call for a kind of art history that conceives of itself as a scholarly discipline. The article concludes with the recognition that Panofsky not only deliberately, but justifiably – that is, in the spirit of Cassirer, at least – transferred the expression ‘symbolic form’ to ‘perspective’. (shrink)

Much research supports the existence of an Approximate Number System (ANS) that is recruited by infants, children, adults, and non-human animals to generate coarse, non-symbolic representations of number. This system supports simple arithmetic operations such as addition, subtraction, and ordering of amounts. The current study tests whether an intuition of a more complex calculation, division, exists in an indigene group in the Amazon, the Mundurucu, whose language includes no words for large numbers. Mundurucu children were presented with a video (...) event depicting a division transformation of halving, in which pairs of objects turned into single objects, reducing the array's numerical magnitude. Then they were tested on their ability to calculate the outcome of this division transformation with other large-number arrays. The Mundurucu children effected this transformation even when non-numerical variables were controlled, performed above chance levels on the very first set of test trials, and exhibited performance similar to urban children who had access to precise number words and a surrounding symbolic culture. We conclude that a halving calculation is part of the suite of intuitive operations supported by the ANS. (shrink)

Symbol and existence will prove fascinating to Walker Percy scholars and fans who wish to decipher Percy's authentic philosophical stance. Percy, an existentialist Catholic at his core, was also a scientist seeking an objective paradigm to portray his views. Symbol and existence demonstrates that Percy was quite methodical and logical in his thought and provides an entirely new perspective on his scholarship. Much of this book is unique and has never been published before; however, some sections were revised and published (...) as isolated journal articles or book chapters, never presented as the unified whole that Percy intended. The orderly unity of Percy's work has not previously been accessible to scholars and fans. Symbol and existences systematic presentation and its new material offer fresh insight and a more accurate view of Percy's ideas. His early philosophical writings were often revised and significantly modified by outside editorial intent to conform to prevailing intellectual currents of the time. Readers of some published articles with corresponding passages in Symbol and Existence will be surprised to discover major changes in meaning from Percy's initial writing due to editorial intrusion and loss of context upon their removal from Symbol and existence. As the only known systematic representation of Percy's general working theory, Symbol and existence gives an important framework for his diverse intellectual background--philosophy and psychology, medicine and anthropology, semiotic and zoology--creating a coherent view of Percy's "radical anthropology. (shrink)

As the accompanying articles in the Special Issue on Semiotic Scaffolding will attest, my colleagues in biosemiotics have done an exemplary job in showing us how to think about the critically generative role that semiotic scaffolding plays “vertically” – i.e., in evolutionary and developmental terms – by “allowing access to the upper floors” of biological complexity, cognition and evolution.In addition to such diachronic considerations of semiotic scaffolding, I wish to offer here a consideration of semiotic scaffolding’s synchronic power, as well (...) – and in particular the ability that it can afford its users to access new and other sign relations “horizontally” as a function of the way that multiple semiotically scaffolded relations intertwine to result in a “definite semantic topology that determines the ways that symbols modify each other’s referential functions in different combinations”.Taking up, in turn, Terrence Deacon’s later challenge that what the sciences of cognition – and biology more generally – needs to “come to grips with [is] the process of semiosis; the dynamic of interpretive activity by which semiotic relationships emerge from other semiotic relationships [as] intrinsically dynamic phases in a generative process”, I attempt here to show how Deacon’s own Peirce-inspired matrix of referential sign relations as presented in The Symbolic Species, when viewed as a semiotic scaffold of interactional constraints and possibility biases, provides the key to understanding the essentially thirdness-manifesting nature of symbol reference, formation and growth. (shrink)

A symbol is defined as a species of sign. The concept of a sign coincides with Skinner's (1938) concept of a discriminative stimulus. Symbols differ from other signs in five respects: (1) They are stimuli which the organism can both respond to and produce, either as a self-directed stimulus (as in thinking) or as a stimulus for another individual with a predictably similar response from the recipient in each case. (2) they act as discriminative stimuli for the same kind of (...) object for all members of the verbal community within which they function as a symbols; (3) they acquire their properties by virtue of arbitrary social convention rather than any natural and intrinsic connection between the sign and what it is a sign of; (4) competent members of the verbal community can both produce the appropriate symbol in response to a naturally occurring sign of the presence of the object or a sample of the kind of object which the symbol stands for and select the appropriate object when presented with the symbol; (5) they form stimulus equivalence classes of the kind demonstrated in the matching-to-sample task (Sidman, 1971; Sidman and Tailby, 1982) both with other symbols having the same meaning and, more important, with the naturally-occurring non-symbolic signs of the presence of the object or kind of object which the symbol stands for. (shrink)

The last two decades have produced unprecedented successes in the fields of artificial intelligence and machine learning (ML), due almost entirely to advances in deep neural networks (DNNs). Deep hierarchical memory networks are not a novel concept in cognitive science and can be traced back more than a half century to Simon's early work on discrimination nets for simulating human expertise. The major difference between DNNs and the deep memory nets meant for explaining human cognition is that the latter are (...) symbolic networks meant to model the dynamics of human memory and learning. Cognition-inspired symbolic deep networks (SDNs) address several known issues with DNNs, including (1) learning efficiency, where a much larger number of training examples are required for DNNs than would be expected for a human; (2) catastrophic interference, where what is learned by a DNN gets unlearned when a new problem is presented; and (3) explainability, where there is no way to explain what is learned by a DNN. This paper explores whether SDNs can achieve similar classification accuracy performance to DNNs across several popular ML datasets and discusses the strengths and weaknesses of each approach. Simulations reveal that (1) SDNs provide similar accuracy to DNNs in most cases, (2) SDNs are far more efficient than DNNs, (3) SDNs are as robust as DNNs to irrelevant/noisy attributes in the data, and (4) SDNs are far more robust to catastrophic interference than DNNs. We conclude that SDNs offer a promising path toward human-level accuracy and efficiency in category learning. More generally, ML frameworks could stand to benefit from cognitively inspired approaches, borrowing more features and functionality from models meant to simulate and explain human learning. (shrink)

The class condition of women in contemporary Igbo society in particular and Africa in general, which is characterized by her peripherialization in the scheme of state building and knowledge production, has led to the need for the re-examination of her representation in specific cultural contexts in Africa prior to the major historical events (partition and colonization) in the continent. There is no doubt that the partition and colonization of Africa led to a pragmatic shift in local paradigms, and the significance (...) placed on the agencies of cultural transmission. This need to re-examine women s representation in cultures and societies in Africa has become imperative in order to make, where possible, a factual representation of women s place in specific cultural realities. This realization gives impetus for this paper. This article re-examines the perception that women have nothing to do with two key peace symbols—oji (kolanut) and ofo (staff of authority and justice)—in Igbo culture as has been presented in the literature on Igbo culture. Using a case study typology, the study uses Nanka in Anambra State, south-eastern Nigeria as the study area. It identifies the place of the Earth goddess in oji and ofo ritual performances and concludes that, as a key participant in these rituals, gender is mainstreamed in the usages of oji and ofo. (shrink)

People often solve spatially presented cognitive problems more easily than their nonspatial counterparts. We explain this phenomenon by characterizing space as an inter-modality that provides common structure to different specific perceptual modalities. The usefulness of spatial structure for knowledge processing on different levels of granularity and for interaction between internal and external processes is described. Map representations are discussed as examples in which the usefulness of spatially organized symbols is particularly evident. External representations and processes can enhance internal representations and (...) processes effectively when the same structures and principles can be implicitly assumed. (shrink)

The aim of this study was to find out what interpretive repertoires young people use in the symbolic management of the pandemic. Qualitative research using several methods on a sample of 172 young people in three countries, Slovakia, the Czech Republic and Austria, and the subsequent discursive analysis showed that young people symbolically coped during the Covid-19 pandemic with the help of widespread concepts such as cutting off, closing sci-fi and panic. The interpretations used by young people to symbolically (...) deal with the pandemic are close to those present in the public discourse—the discourses of threat, loss, emotion—but there was also a search for the concepts and language for use by experts and the general public in communicating about the pandemic. There were no significant differences in the interpretations of life during the Covid-19 pandemic in the three Central European countries. (shrink)

Dans la troisièmeCritique, Kant prétend que la beauté est le symbole de la moralité et que la réflexion sur cette relation est un devoir. Cet article présente l’argument de Kant comme un double argument. Premièrement, l’expérience de la beauté renforce notre sentiment moral. Deuxièmement, à travers le jugement sur le beau, nous supposons que la nature poursuit des fins indéterminées, sur la base de quoi l’on pourrait concevoir que la nature coopère à nos fins pratiques. Ainsi, dans l’intérêt de la (...) culture morale et de la motivation morale, il est nécessaire de traiter la beauté comme le symbole spécial de la moralité. (shrink)

Theories of embodied cognition assume that concepts are grounded in non-linguistic, sensorimotor experience. In support of this assumption, previous studies have shown that upwards response movements are faster than downwards movements after participants have been presented with words whose referents are typically located in the upper vertical space. This is taken as evidence that processing these words reactivates sensorimotor experiential traces. This congruency effect was also found for novel words, after participants learned these words as labels for novel objects that (...) they encountered either in their upper or lower visual field. While this indicates that direct experience with a word's referent is sufficient to evoke said congruency effects, the present study investigates whether this direct experience is also a necessary condition. To this end, we conducted five experiments in which participants learned novel words from purely linguistic input: Novel words were presented in pairs with real up- or down-words ; they were presented in natural sentences where they replaced these real words ; they were presented as new labels for these real words ; and they were presented as labels for novel combined concepts based on these real words. In all five experiments, we did not find any congruency effects elicited by the novel words; however, participants were always able to make correct explicit judgements about the vertical dimension associated to the novel words. These results suggest that direct experience is necessary for reactivating experiential traces, but this reactivation is not a necessary condition for understanding the corresponding aspects of word meaning. (shrink)

But Findlay's remark, like so much that has been written on the subject of time in the present century, was provoked in the first place by McTaggart's ...

Recent years have witnessed an enormous increase in behavioral and neuroimaging studies of numerical cognition. Particular interest has been devoted toward unraveling properties of the representational medium on which numbers are thought to be represented. We have argued that a correct inference concerning these properties requires distinguishing between different input modalities and different decision/output structures. To back up this claim, we have trained computational models with either symbolic or nonsymbolic input and with different task requirements, and showed that this (...) allowed for an integration of the existing data in a consistent manner. In later studies, predictions from the models were derived and tested with behavioral and neuroimaging methods. Here we present an integrative review of this work. (shrink)

The focus here will be on the tension between architecture’s symbolic role and its function as a space to house and present art. ‘Symbolic’ refers both to a building as an aesthetic or sculptural form and secondly to its role in expressing civic identity. ‘Function’ refers to the intended purpose or practical use apart from its role as a form of art. As an art form, it serves important symbolic purposes; its practical purposes are linked to serving (...) individual and community functions requiring the delineation of space. In the present context of museum architecture, certain museum buildings are more likely to be seen as a sculptural object than as functioning buildings. The reasons for this development derive in part from unresolved issues pertaining to the respective roles of symbolic and practicalfunction as is seen in the analysis of architecture provided by G. W. F. Hegel, Rudolf Arnheim and Nelson Goodman. The vocabularies of contemporary architects such Frank Gehry and Santiago Calatrava do not follow the abstract geometrical patterns of Le Corbusier or Louis Kahn who envisioned a universal vocabulary of architectural forms derived from industrial technical forms that underscored Modernist conventions in architecture.By looking at this issue in the contexts provided by the theoretical discussions of Hegel, Arnheim and Goodman, it is possible to see more clearly the importance of examining with a critical eye the relative place of symbolism and function in museum architecture, and to question whether current museum practice has gone astray in allowing the sculptural symbolism to become the dominant element. When either its symbolic or its practical aspects are out of balance the result is sure to be unsatisfactory architecture. If the past is a reliable guide, it works best when the symbolic (sculptural) and the practical in architecture are worked out in harmony with each other. (shrink)

People can be taught to manipulate symbols according to formal mathematical and logical rules. Cognitive scientists have traditionally viewed this capacity—the capacity for symbolic reasoning—as grounded in the ability to internally represent numbers, logical relationships, and mathematical rules in an abstract, amodal fashion. We present an alternative view, portraying symbolic reasoning as a special kind of embodied reasoning in which arithmetic and logical formulae, externally represented as notations, serve as targets for powerful perceptual and sensorimotor systems. Although (...) class='Hi'>symbolic reasoning often conforms to abstract mathematical principles, it is typically implemented by perceptual and sensorimotor engagement with concrete environmental structures. (shrink)

This comprehensive introduction presents the fundamentals of symbolic logic clearly, systematically, and in a straightforward style accessible to readers. Each chapter, or unit, is divided into easily comprehended small bites that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate (...) logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. (shrink)

Let me attempt a drastic summary, or symbolic reduction, of Mr. Foss's adeptly metaphorical exposition. The use of the copula is, implicit in the appositive series, will do some violence to the complexity of the argument, but since causes and parts are frowned on by the same argument, the simpler arrangement cannot be altogether out of keeping. In logical and grammatical terms, we have on two sides of a profound ledger: "symbolic reduction," the divisive subject and predicate,--and "metaphoric (...) process," the underlying and unifying energy of the proposition, the subjectum. The negations of dialectic operate to show the insufficiency of symbolic concepts and are the "door to philosophic truth." And in ontological terms, we have on the one hand number, time, space, cause and effect, coincidence and contingency; and on the other the different, the naught, the apeiron, the potential, the tension of process, freedom and necessity in metaphoric lawful unity. There are two closely similar extremes of reduction between which one locates the transcendent philosophy of metaphor: that of sensationalism, the philosophy of the brute and atomic, and that of rationalism, the philosophy of expedient action. And in more or less theological terms, we have on the one hand the environment and its complement the ego, purposive and possessive; on the other, World, the I and the Thou, prayer, sin and grace in the metaphorical unity of consciousness, the widening power of personality in intercession or metaphorical representation. On the one hand, birth and death, past and future, and a present extending ad libitum into either; on the other, the eternal present of the integrated process stretching over past and future, expressed in its purest form in art. And so in aesthetic terms: on the one hand catharsis, a rationalized mixture of the ego's pleasure and pain, asceticism and hedonism, play; on the other, drama--especially tragedy, which par excellence action--Eudaimonia, purification, artistic distance, stylization, imagination, conscience, love. On the one hand, comedy in the sense of farce, environment symbolically reduced, actions and persons according to type, the mechanism of means and ends, rules, rituals, tricks, chance, the caricature of symbolic fixation--producing laughter: on the other hand, true and great comedy, the attempt to understand life in all its contradictions, producing the smile. (shrink)

A mythic symbolic type is a binary-structured, gender-oriented cultural mask. Whoever enters it will never exit and will behave according to the mask’s logic. The article focuses on the men of the semi-commune Little Home trapped in the mask. It will examine this cultural structure’s organization of binary-opposition in a unique kind of intensity, I called “masculine waves.” In the final part, a discussion will be presented in the context of Deleuze’s Becoming and Bloch’s utopia.