Against the view that symbol-based semiosis is a human cognitive uniqueness, we have argued that non-human primates such as African vervet monkeys possess symbolic competence, as formally defined by Charles S. Peirce. Here I develop this argument by showing that the equivocal role ascribed to symbols by “folk semiotics” stems from an incomplete application of the Peircean logical framework for the classification of signs, which describes three kinds of symbols: rheme, dicent and argument. In an attempt to advance (...) in the classifying semiotic processes, Peirce proposed several typologies, with different degrees of refinement. Around 1903, he developed a division into ten classes. According to this typology, symbols can be further analysed in three subclasses (rheme, dicent, argument). I proceed to demonstrate that vervet monkeys employ dicent symbols. There are remarkable implications of this argument since ‘symbolic species theory’ fails to explore the vast Peircean semiotic philosophy to frame questions regarding the emergence and evolution of symbolic processes. (shrink)

The seventh sign in Charles Peirce’s well-known 10-sign taxonomy of the 1903 Syllabus has received relatively little attention compared to many other types of sign that he described. It is the sign type of “Dicent Indexical Legisigns”, a result of the combinatory strategy of the 3x3 elementary sign aspects defined by the three basic sign trichotomies of Qualisign-Sinsign-Legisign, Icon-Index-Symbol and Rheme-Dicisign-Argument, a new strategy developed by Peirce in that famous text. It is well known how such aspects do (...) not combine freely, hence not resulting in 3 × 3 × 3 = 27 sign types, but only in 10 sign types, due to the application of the rule aptly summarized by Bellucci as “a certain combination... (shrink)

RESUMO: O Pragmatismo, como proposto por Charles S. Peirce, deve ser considerado um método para a produção teórica de pensamento que visa à construção de conceitos, a qual assume a forma de uma máxima lógica orientadora da conduta científica. Se um conceito é uma relação sígnica e a sua compreensão, um processo sígnico, encontramos na semiótica peirceana uma estratégia para discriminar as etapas da compreensão conceitual e avaliar os significados de termos e conceitos abstratos. Assim, o objetivo deste trabalho é (...) explicar os princípios lógicos que governam os tipos de Signos que mais diretamente estão relacionados à construção de conceitos, a saber: o Símbolo-Remático, o Símbolo-Dicente e o Argumento. Tais signos correspondem à antiga divisão Termo, Proposição e Argumento, modificada de modo a ser aplicável aos signos em geral. ABSTRACT: Pragmatism, as proposed by Charles S. Peirce, should be considered a method for the theoretical production of thought that aims the construction of concepts, which takes the form of a logical maxim guiding scientific conduct. If a concept is a sign relationship and its understanding a sign process, we find in Peircean semiotics a strategy to discriminate the stages of conceptual understanding and to evaluate the meanings of abstract terms and concepts. Therefore, the aim of this work is to explain the logical principles that govern the types of Signs that more directly are related to the construction of concepts, namely: the Rhematic Symbol, the Dicent Symbol and the Argument. Such signs correspond to the old division between Term, Proposition and Argument, modified in order to be applicable to the signs in general. (shrink)

The study seeks to contribute to the concept of semiotic causation by building a nomenclature of effects (interpretants) produced by signs. As a starting point, the suggested approach uses Charles Peirce’s idea that the interpretant itself is a sign that is produced by another sign. From this, the study suggests that Peirce’s ten-fold division of signs can be used as a basis for the division of interpretants and, thus, proposes a nomenclature that distinguishes poti-interpretants (interpretants that are quali-signs), sin-interpretants (interpretants (...) that are sin-signs), and legi-interpretants (interpretants that are legi-signs), also differentiating between iconic, indexical, and symbolic interpretants, as well as rhematic, dicent, and argumentive interpretants. The article uses Peirce’s famous whistle example (EP 2:4–5) to illustrate how the proposed systematics of interpretants works and demonstrates that it aligns well with Peirce’s distinction of feeling, reaction, and thinking, as feeling corresponds to the production of iconic poti-interpretants and iconic sin-interpretants, reaction corresponds to the production of indexical sin-interpretants, and thinking corresponds to the production of legi-interpretants. The article also suggests how the proposed ten-fold systematics of interpretants can be reconciled with Peirce’s original classifications of interpretants, as immediate-dynamical-final interpretants correspond to the triad of poti-, sin-, and legi-interpretants, while emotional-energetic-logical interpretants correspond to the three sub-classes of sin-interpretants, i.e. iconic sin-interpretants, rhematic indexical sin-interpretants, and dicent indexical sin-interpretants. The study then explores how the suggested classification of interpretants can be used to draw distinctions between different kinds of semiosis in different agents. In particular, the study shows how the proposed ten-fold classification can be applied to analyze diverse biosemiotic and anthroposemiotic processes. It also tests how different capacities to produce interpretants can be used to distinguish full-fledged signs from quasi-signs and demonstrates that in some cases of zoösemiosis, as well as in proto-semiosis and tardo-semiosis, the production of symbolic interpretants is diminished. (shrink)

Cet ouvrage confronte les pensées de Frege à Husserl à propos du psychologisme et pose la question de savoir comment ces deux penseurs ont pu à la fois lutter contre l'influence grandissante de ce courant et parvenir à une telle incompréhension mutuelle. L'auteur cherche à montrer comment la différence de perspective sur les sciences mathématiques les a conduit à s'opposer sur le statut de la logique et de son rapport à la pensée. S'ils s'accordent pour reconnaître que l'arithmétique implique le (...) recours à la pensée, l'un parvient à une logique symbolique, et l'autre à une logique transcendantale, deux perspectives qui supposent des idées très différentes de ce que signifie " penser ". Quels rapports la pensée entretient-elle avec la représentation et avec les symboles? L'esprit qui pense, aussi bien dans les mathématiques que dans la logique, n'est - il qu'un simple " automate " qui développe les conséquences de la vérité ou est-il responsable des lois qu'il découvre? Par-delà l'étude des divergences sur le statut de la logique, de la psychologie et de leur rapport aux mathématiques, il s'agit d'explorer une divergence plus profonde sur le rapport de la pensée à la nécessité et à la liberté. (shrink)

Inspired by the eminently successful physical theories and informed by commonplace experiences such as seeing a cat upon looking at a cat, conscious experience is thought of as a measurement or photocopy of given stimulus. Conscious experience, unlike a photocopy, is symbolic—like language—in that the relation between conscious experience and physical stimulus is analogous to that of the word "cat" and its meaning, i.e., arbitrary and yet systematic. We present arguments against the photocopy model and arguments for a symbolic conception (...) of conscious experience. Learning and the corresponding plasticity of the brain make a strong case for the symbolic conception of conscious experience, while many extra-ordinary conscious experiences argue against the formalisation of consciousness as a measuring device. The notions of place-value notation and grammar, which organise quantitative measurements and conscious experiences in the medium of numbers and language, respectively, are suggested as model systems for putting together a comprehensive theory of conscious experience. (shrink)

This chapter examines a common objection to sex robots: the symbolic-consequences argument. According to this argument sex robots are problematic because they symbolise something disturbing about our attitude to sex-related norms such as consent and the status of our sex partners, and because of the potential consequences of this symbolism. After formalising this objection and considering several real-world uses of it, the chapter subjects it to critical scrutiny. It argues that while there are grounds for thinking that sex robots could (...) symbolically represent a troubling attitude toward women (and maybe children) and the norms of interpersonal sexual relationships, the troubling symbolism is going to be removable in many instances and reformable in others. What will ultimately matter are the consequences of the symbolism but these consequences are likely to be difficult to ascertain. This may warrant an explicitly experimental approach to the development of this technology. (shrink)

The author argues that our best hope for addressing world problems (from climate change to violence, to poverty) is to teach critical thinking through the study of language and all symbol systems. This means removing disciplinary boundaries so that we can focus more effectively on solving common problems. Human survival also depends upon our critical analysis of electronic media and our wise uses of technology. Critical thinking via all symbol systems is more likely to generate humane actions. Therefore, (...) education—not governments or armies or institutions or private corporations—is our best hope. (shrink)

In dialogue with afro-caribbean philosophy, this book seeks in Cassirer's philosophy of symbolic forms a new vocabulary for approaching central intellectual and ...

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)

This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4–9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

A. Newell and H. A. Simon were two of the most influential scientists in the emerging field of artificial intelligence (AI) in the late 1950s through to the early 1990s. This paper reviews their crucial contribution to this field, namely to symbolic AI. This contribution was constituted mostly by their quest for the implementation of general intelligence and (commonsense) knowledge in artificial thinking or reasoning artifacts, a project they shared with many other scientists but that in their case was theoretically (...) based on the idiosyncratic notions of symbol systems and the representational abilities they give rise to, in particular with respect to knowledge. While focusing on the period 1956-1982, this review cites both earlier and later literature and it attempts to make visible their potential relevance to today's greatest unifying AI challenge, to wit, the design of wholly autonomous artificial agents (a.k.a. robots) that are not only rational and ethical, but also self-conscious. (shrink)

The two works reprinted in this volume are a unique fusion of logical thought and inimitable whimsy. Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

Prior to the twentieth century, theories of knowledge were inherently perceptual. Since then, developments in logic, statis- tics, and programming languages have inspired amodal theories that rest on principles fundamentally different from those underlying perception. In addition, perceptual approaches have become widely viewed as untenable because they are assumed to implement record- ing systems, not conceptual systems. A perceptual theory of knowledge is developed here in the context of current cognitive science and neuroscience. During perceptual experience, association areas in the (...) brain capture bottom-up patterns of activation in sensory-motor areas. Later, in a top-down manner, association areas partially reactivate sensory-motor areas to implement perceptual symbols. The stor- age and reactivation of perceptual symbols operates at the level of perceptual components – not at the level of holistic perceptual expe- riences. Through the use of selective attention, schematic representations of perceptual components are extracted from experience and stored in memory (e.g., individual memories of green, purr, hot). As memories of the same component become organized around a com- mon frame, they implement a simulator that produces limitless simulations of the component (e.g., simulations of purr). Not only do such simulators develop for aspects of sensory experience, they also develop for aspects of proprioception (e.g., lift, run) and introspec- tion (e.g., compare, memory, happy, hungry). Once established, these simulators implement a basic conceptual system that represents types, supports categorization, and produces categorical inferences. These simulators further support productivity, propositions, and ab- stract concepts, thereby implementing a fully functional conceptual system. Productivity results from integrating simulators combinato- rially and recursively to produce complex simulations. Propositions result from binding simulators to perceived individuals to represent type-token relations. Abstract concepts are grounded in complex simulations of combined physical and introspective events. Thus, a per- ceptual theory of knowledge can implement a fully functional conceptual system while avoiding problems associated with amodal sym- bol systems. Implications for cognition, neuroscience, evolution, development, and artificial intelligence are explored. (shrink)

The invention of symbolic algebra in the sixteenth and seventeenth centuries fundamentally changed the way we do mathematics. If we want to understand this change and appreciate its importance, we must analyze it on two levels. One concerns the compositional function of algebraic symbols as tools for representing complexity; the other concerns the referential function of algebraic symbols, which enables their use as tools for describing objects (such as polynomials), properties (such as irreducibility), relations (such as divisibility), and operations (such (...) as factorization). The reconstruction of both the compositional function and the referential function of algebraic symbols requires the use of different analytic tools and the taking of different temporal perspectives. In this chapter, we offer both: a reconstruction of the compositional function of algebraic symbols, and a reconstruction of their referential function. (shrink)

Here we examine the hypothesis that symbolic understanding across domains is mediated by a fundamental ‘symbolizing’ ability in young children. We tested 30 children aged 2–4 years on symbolic tasks assessing iconic and non-iconic word-referent and picture-referent understanding and administered standardised tests of symbolic play and receptive language. Children showed understanding of the symbol-referent relation earlier for pictures than written words, and performance within domains was correlated and, importantly, predicted by a marker of general symbolic ability. Performance on picture (...) and written word tasks was also unrelated to language comprehension. Thus, symbolic abilities in specific domains are underpinned by a general symbolizing ability which arises early in development. (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)

Reprint, in paper covers, of the Columbia U. Press edition of 1990. Annotation copyright by Book News, Inc., Portland, OR.

SYMBOLIC LOGIC. CHAPTER I. ON THE FORMS OF LOGICAL PROPOSITION. IT has been mentioned in the Introduction that the System of Logic which this work is ...

Sound symbolism refers to non-arbitrary associations between word forms and meaning, such as those observed for some properties of sounds and size or shape. Recent evidence suggests that these connections extend to emotional concepts. Here we investigated two types of non-arbitrary relationships. Study 1 examined whether iconicity scores (i.e. resemblance-based mapping between aspects of a word’s form and its meaning) for words can be predicted from ratings in the affective dimensions of valence and arousal and/or the discrete emotions of happiness, (...) anger, fear, disgust and sadness. Words denoting negative concepts were more likely to have more iconic word forms. Study 2 explored whether statistical regularities in single phonemes (i.e. systematicity) predicted ratings in affective dimensions and/or discrete emotions. Voiceless (/p/, /t/) and voiced plosives (/b/, /d/, /g/) were related to high arousing words, whereas high arousing negative words tended to include fricatives (/s/, /z/). Hissing consonants were also more likely to occur in words denoting all negative discrete emotions. Additionally, words conveying certain discrete emotions included specific phonemes. Overall, our data suggest that emotional features might explain variations in iconicity and provide new insight about phonemic patterns showing sound symbolic associations with the affective properties of words. (shrink)

When a symbol is a marker of a primary bearer of value and, secondarily, a bearer of value itself, then it has symbolic value. Philosophers have long been suspicious of symbolic values, often regarding them as illusory or irrelevant. I suggest that arguments against symbolic values either overgeneralize or else require premises that can only be supported if the normative significance of some symbolic considerations is presupposed. Humans need symbols to represent identity facts to themselves and others. Symbolic values (...) thereby contribute to individuals’ control over their own agency. (shrink)

In this paper, we recall and study the new type of algebraic structures called Symbolic Plithogenic Algebraic Structures. Their operations are given under the Absorbance Law and the Prevalence Order.

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

THE SYMBOLIC FUNCTION is an original and provocative attempt to explain human symbol making and to develop an understanding of language and cognition usually held apart by the separate movements of philosophy and psychoanalysis. This book defines a new discipline and a new cooperation.

Sexual Orientation as Symbolic Capital and as the "Object" of Symbolic Violence Sexual orientation is currently understood to be an innate disposition. Heterosexually oriented people are perceived to be in the majority and homosexually oriented people as the minority. Using Pierre Bourdieu's concepts of symbolic power, symbolic violence and symbolic capital, this paper aims to show how symbolic power and symbolic violence contribute to determining which sexual orientation is associated with the majority and minority populations, and establish what role is (...) played by the symbolic capital derived from sexual orientation. (shrink)

Looking closely at the work of such major figures as Lacan, Derrida, and Nietzsche, Goux extends the implications of Marxism and Freudianism to an interdisciplinary semiotics of value and proposes a radical concept of exchange.

Scholars studying the origins and evolution of language are also interested in the general issue of the evolution of cognition. Language is not an isolated capability of the individual, but has intrinsic relationships with many other behavioral, cognitive, and social abilities. By understanding the mechanisms underlying the evolution of linguistic abilities, it is possible to understand the evolution of cognitive abilities. Cognitivism, one of the current approaches in psychology and cognitive science, proposes that symbol systems capture mental phenomena, and (...) attributes cognitive validity to them. Therefore, in the same way that language is considered the prototype of cognitive abilities, a symbol system has become the prototype for studying language and cognitive systems. Symbol systems are advantageous as they are easily studied through computer simulation (a computer program is a symbol system itself), and this is why language is often studied using computational models. (shrink)

This is a college-level textbook that discusses elementary symbolic logic.

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)