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)

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.

A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize these arguments to symbolic 2-plithogenic structure. We introduce the structure of clean and nil-clean symbolic (...) 2-plithogenic rings and some of its elementary properties are presented. Also, we have found the equivalence between classical clean(nil-clean) ring R and the corresponding symbolic 2-plithogenic ring 2-SPR. (shrink)

This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of the principal concepts derived from plithogeny, and relate them to complex problems.

Although formal thought disorder (FTD) has been for long a clinical label in the assessment of some psychiatric disorders, in particular of schizophrenia, it remains a source of controversy, mostly because it is hard to say what exactly the “formal” in FTD refers to. We see anomalous processing of terminological knowledge, a core construct of human knowledge in general, behind FTD symptoms and we approach this anomaly from a strictly formal perspective. More specifically, we present here a symbolic computational model (...) of storage in, and activation of, a human semantic network, or semantic memory, whose core element is logical form; this is normalized by description logic (DL), namely by CL, a DL-based language – Conception Language – designed to formalize conceptualization from the viewpoint of individual cognitive agency. In this model, disruptions in the rule-based implementation of the logical form account for the apparently semantic anomalies symptomatic of FTD, which are detected by means of a CL-based algorithmic assessment. (shrink)

The main aim of this article is to present and defend a thesis according to which conceptual representations of some types of mental states are encoded in the same neural structures that underlie the first-personal experience of those states. To support this proposal here, I will put forth a novel account of the cognitive function played by ‘shared representations’ of emotions and bodily sensations, i.e. neural structures that are active when one experiences a mental state of a certain (...) type as well as when one observes someone else experiencing a state of the same type. I will argue that shared representations in fact constitute vehicles of certain mental state concepts (more precisely, concepts of specific types of emotions and somatosensory states). The main line of arguing for this will consist in showing that shared representations exhibit specific, ‘conceptual’ functional properties:(1) causal effect on forming metacognitive judgments, (2) cognitive penetrability, (3) diversity of input types. (shrink)

The study of culture and cultural selection from a biological perspective has been hampered by the lack of any firm theoretical basis for how the information for cultural traits is stored and transmitted. In addition, the study of any living system with a decentralized or multi-level information structure has been somewhat restricted due to the focus in genetics on the gene and the particular hereditary structure of multicellular organisms. Here a different perspective is used, one which regards living systems as (...) self-constructing energy users that utilize their genome as a library of information, making the genetic system just another component that adds fitness to the overall integrated unit. In this framework, basic fitness is measured as the ability to gather energy for growth and reproduction, and the fitness of the genetic system is broken down into two aspects: first, the effectiveness in searching for new somatic functional information, and second, the effectiveness in searching for better structures to store and process information. With this more generalized perspective, major evolutionary transitions to higher levels of organization become competitions between different information structures; furthermore the functioning and fitness of cultural systems can be more easily described and compared with other modes of information storage within biological systems. Modern technological societies are self-constructing systems that rely on written (symbolic) information storage and very complex algorithms that effectively search for variation with a high probability of successful selection. These systems are currently competing with traditional organic systems, and this competition constitutes the latest major evolutionary transition. Upon comparison of the energy-gathering potential of symbolic-based systems with DNA-based life, it appears that symbolic systems have a tremendous fitness potential and the current shift to a higher level of selection may be as significant and far-reaching as any of the previous major evolutionary transitions. (shrink)

Older siblings play a role in their younger siblings’ language socialization by ratifying or rejecting linguistic behavior. In addition, older siblings may engage in a struggle to maintain their dominant position in the family hierarchy. This struggle is seen through the lens of language and political economy as a struggle for symbolic capital. Bilingual adolescent sibling interactions are analyzed as expressions both of identity and of symbolic power. This paper proposes a theory of political micro-economy, by which analysts may trace (...) connections between broad societal structures and structures of face-to-face interaction. (shrink)

In the present book, the starting line is defined by a morphogenetic perspective on human communication and culture. The focus is on visual communication, music, religion (myth), and language, i.e., on the “symbolic forms” at the heart of human cultures (Ernst Cassirer). The term “morphogenesis” has more precisely the meaning given by René Thom (1923-2002) in his book “Morphogenesis and Structural Stability” (1972) and the notions of “self-organization” and cooperation of subsystems in the “Synergetics” of Hermann Haken (1927- ). The (...) naturalization of communication and cultural phenomena is the favored strategy, but the major results of the involved disciplines (art history, music theory, religious science, and linguistics) are respected. Visual art from the Paleolithic to modernity stands for visual communication. The present book focuses on studies of classical painting and sculpture (e.g., Leonardo da Vinci, William Turner, and Henry Moore) and modern art (e.g., Jackson Pollock and Joseph Beuys). Musical morphogenesis embraces classical music (from J. S. Bach to Arnold Schönberg) and political songwriting (Bob Dylan, Leonhard Cohen). The myths of pre-literary societies show the effects of self-organization in the re-assembly (bricolage) of traditions. Classical polytheistic and monotheistic religions demonstrate the unfolding of basic germs (religious attractors) and their reduction in periods of crisis, the self-organization of complex religious networks, and rationalized macro-structures (in theologies). Significant tendencies are analyzed in the case of Buddhism and Christianism. Eventually, a holistic view of symbolic communication and human culture emerges based on state-of-the-art in evolutionary biology, cognitive science, linguistics, and semiotics (philosophy of symbolic forms). (shrink)

The aim of this work is to develop a comparative analysis of the discursive structures that underlie the socialized formation of the interpretative paradigms of reality. We analyse how both political ideologies and the so-called “conspiracy theories” can be understood starting from the structure and functioning of Marc Augè's ideo-logic, namely the systemic-discursive device that defines the field of all possible sentences defining the real. -/- .

This paper attempts to illustrate a process of analysis that will hopefully open a path to more complete and useful definitions of sign and symbol. It applies a form-content analysis to the metaphysical properties of these two concepts. The objective is to locate criteria necessary and sufficient to derive formal definitions for these terms. Wittgenstein’s concept of “forms of representation” is analyzed and applied to the topic. Criteria are outlined that determine the appropriateness of the sign and symbol (...) to be applied as labels. Criteria of definition are then developed using gesture, metaphor, and several other example types to illustrate the use of the criteria in distinguishing between sign and symbol. The structural organization of these two concepts proved to be especially complex and led to what some readers may find somewhat obscure. It is not our intention to be purposefully obscure. (shrink)

Thirty years ago, I elaborated on a position that could be seen as a compromise between an "extreme," symbol-based AI, and a "neurochemical reductionism" in AI. The present article recalls aspects of the espoused framework of schema theory that, it suggested, could provide a better bridge from human psychology to brain theory than that offered by the symbol systems of A. Newell and H. A. Simon.

The paper discusses a few tensions “crucifying” the works and even personality of the great Georgian philosopher Merab Mamardashvili: East and West; human being and thought, symbol and consciousness, infinity and finiteness, similarity and differences. The observer can be involved as the correlative counterpart of the totality: An observer opposed to the totality externalizes an internal part outside. Thus the phenomena of an observer and the totality turn out to converge to each other or to be one and the (...) same. In other words, the phenomenon of an observer includes the singularity of the solipsistic Self, which (or “who”) is the same as that of the totality. Furthermore, observation can be thought as that primary and initial action underlain by the phenomenon of an observer. That action of observation consists in the externalization of the solipsistic Self outside as some external reality. It is both a zero action and the singularity of the phenomenon of action. The main conclusions are: Mamardashvili’s philosophy can be thought both as the suffering effort to be a human being again and again as well as the philosophical reflection on the genesis of thought from itself by the same effort. Thus it can be recognized as a powerful tension between signs and symbol, between conscious structures and consciousness, between the syncretism of the East and the discursiveness of the West crucifying spiritually Georgia. (shrink)

What does it look like when a group of scientists set out to re-envision an entire field of biology in symbolic and formal terms? I analyze the founding and articulation of Numerical Taxonomy between 1950 and 1970, the period when it set out a radical new approach to classification and founded a tradition of mathematics in systematic biology. I argue that introducing mathematics in a comprehensive way also requires re-organizing the daily work of scientists in the field. Numerical taxonomists sought (...) to establish a mathematical method for classification that was universal to every type of organism, and I argue this intrinsically implicated them in a qualitative re-organization of the work of all systematists. I also discuss how Numerical Taxonomy’s re-organization of practice became entrenched across systematic biology even as opposing schools produced their own competing mathematical methods. In this way, the structure of the work process became more fundamental than the methodological theories that motivated it. (shrink)

This essay centers on the notion of the symbolic and its impact as developed by Claude Lévi-Strauss in his Introduction to the Work of Marcel Mauss. I examine Lévi-Strauss’ formulation of the “floating signifier” and its influence in French thought, particularly in the work of Jacques Lacan and Jacques Derrida. In doing so, I argue that Lévi-Strauss’ notion may be a misreading of the structural linguistics of Ferdinand de Saussure that has important implications for contemporary political issues on the left (...) in both theory and practice. (shrink)

Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which extended (...) causal models with their two modalities can be subsumed under so called which contain just one modality. These two constraints will be formally precise versions of Lewissystem of weights or priorities” governing overall similarity between possible worlds. (shrink)

The purpose of this paper is to understand if and how interactions with Sexual Robots will modify users’ relational abilities in human-human relations. We first underline that, in today’s scholar discussion on the ‘symbolic argument’, there is no theoretical framework explaining the process of symbolic shift between human-robot interactions (HRI) and human-human interactions (HHI). To clarify the symbolic shift mechanism, we propose the concept of objectual mediation. Moreover, under the lens of Winnicott’s object-relation theory, we argue that HRI can structurally (...) modify users relationality, degrading intersubjective abilities: Sexual Robots may blurry the limit between the ‘internal object’ and the external one. We conclude that, under certain conditions, interactions with Sexual Robots may bring the user back to an infantile object-relation setting, worsening the user ability to manage relational frustration. This will negatively impact on human-human interactions and social values in general. -/- . (shrink)

On the example of the analysis of the content of films-leaders of the box office box office, the value dynamics of the symbols of success is revealed as an objectively occurring sociocultural process in film communication. Cultural production and consumption are being rethought as the self-communication of society, which has sustainable trends. The connections of the sociocultural process of symbolizing success with communicative, semantic and semiotic processes have been studied. The specificity of the dialectical contradiction between sociocentric and personocentric (...) symbols of success is described. The theoretical provisions that reveal the structural and functional side of the socio-cultural process of symbolizing success are presented, its objectivity is proved on the example of the analysis of an array of films, the dominant tendencies in the halo of the cultural space of the general film market are determined. The book is addressed to scientists, students and teachers interested in cultural dynamics, social communication, the role of cinema in modern society. (shrink)

By comparing some founding concepts underlying developing interest in the role of signs and symbols in social life, such as the nature of the sign in Charles Peirce and Ferdinand de Saussure and in Emile Durkheim and George Herbert Mead, and then exploring recent developments in structuralism and symbolic interactionism, a critical appraisal of their theories of meaning is made in the context of an emerging semiotic sociology.

This paper takes up the challenge which Carnap poses in his Aufbau: to make of it a basis for continued epistemological research. I try to close some gaps in Carnap’s original presentation and to make at least the first few steps of his constructional outline more accessible to the modern reader. Particularly emphasized is Carnap’s implicit recognition that, to be effective, “structural” models of epistemology (using logical symbols) must be complemented with “procedural” models (his “fictitious operations”). The paper shows (...) how a procedural model, a computer program,can “bypass” Nelson Goodman’s counter example to Carnap’s logical construction of “similarity circles”. (shrink)

My paper was commissioned by Journal of Philosophy to provide a piece adequately explaining the significance of the Lacanian Mirror stage within Lacan's larger work. -/- I focus on the transition from the mirror stage to the incorporation of the subject into the symbolic order. I argue that the mirror stage is transitional and that its significance lies in what of it is incorporated into and transformed within the more complex structures of the subject and the unconscious. -/- Implicit (...) in my claim is that "lacanian" theories which hypostatize the mirror stage into a determinate structure of adult consciousness are misinterpreting Lacan. I use Seminars 1 and 2 to make fuller sense the mirror stage as presented in his Ecrits. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

This paper argues against definitions of depiction in terms of the syntactic and semantic properties of symbol systems. In particular, it is argued that John Kulvicki's definition of depictive symbol systems in terms of relative repleteness, semantic richness, syntactic sensitivity and transparency is susceptible to similar counterexamples as Nelson Goodman's in terms of syntactic density, semantic density and relative repleteness. The general moral drawn is that defining depiction requires attention not merely to descriptive questions about syntax and semantics, (...) but also to foundational questions about what makes it the case that depictions have the syntactic and semantic properties they do. (shrink)

Wolfgang Pauli was influenced by Carl Jung and the Platonism of Arnold Sommerfeld, who introduced the fine-structure constant. Pauli’s vision of a World Clock is related to the symbolic form of the Emerald Tablet of Hermes and Plato’s geometric allegory otherwise known as the Cosmological Circle attributed to ancient tradition. With this vision Pauli revealed geometric clues to the mystery of the fine-structure constant that determines the strength of the electromagnetic interaction. A Platonic interpretation of the World Clock and the (...) Cosmological Circle provides an explanation that includes the geometric structure of the pineal gland described by the golden ratio. In his experience of archetypal images Pauli encounters the synchronicity of events that contribute to his quest for physical symmetry relevant to the development of quantum electrodynamics. (shrink)

The discrete–structural structure of the world is described. In comparison with the idea of Heraclitus about an indissoluble world, preference is given to the discrete world of Democritus. It is noted that if the discrete atoms of Democritus were simple and indivisible, the atoms of the modern world indicated in the article would possess, rather, a structural structure. The article proves the problem of how the mutual connection of mathematics and philosophy influences cognition, which creates a discrete–structural worldview. The author (...) notes that the appearance of writing, symbolic language and the depiction of the picture of the world through mathematics, led us into the sphere of discrete mathematical mathematics. (shrink)

This article makes the case for the necessity of a multi-focal conception of violence in religion and peacebuilding. I first trace the emergence and development of the analytical concepts of structural and cultural violence in peace studies, demonstrating how these lenses both draw central insights from, but also differ from and improve upon, critical theory and reflexive sociology. I argue that addressing structural and cultural forms of violence are concerns as central as addressing direct (explicit, personal) forms of violence for (...) purposes of building just and sustainable peace. Moreover, religiously informed and/or motivated peacebuilders are especially well-appointed and equipped to identify and address violence in its structural and cultural manifestations. I the examine how concepts of structural and cultural violence, in effect, centrally inform the efforts of Martin Luther King and Cornel West to cultivate just and sustainable peace in a context as putatively peaceful and prosperous as the United States. (shrink)

The aim of this study is to stylistically analyze the common symbols in Charles Dickens’s Christmas Books, which revived the Christmas spirit in the dark Victorian era. Experiencing the vast impacts of Industrial Revolution, people in Dickens’s time were suffering from the consequences of industrialism, poverty, class distinctions and shifting values within a dark world. Upon combining sentimentality towards human nature, Dickens, in his Christmas stories, revived a festival which faded away from English life during the 19th c. Through (...) this blending of a Christmas spirit in the dark Victorian era, Dickens drew the desired picture of a better future for his readers. His ‘Dickensian’ style enables questioning and judging the discrepancies in the society and the defects of humanity while entertaining the reader with the concerns of family harmony, forgiveness, charity, happiness, compassion and Christmas joy. Yet instead of presenting his messages explicitly, in the deeper structure, Charles Dickens directs his readers through the messages with the use of symbols in his five Christmas stories. To this end, this study aims at clarifying the common symbols in the stories of Christmas Books to suggest that Dickens lights a candle via his stories for his readers who were imprisoned in the dark Victorian age. (shrink)

In this paper I aim to show that the philosophy of Mihai Şora can both be seen as a phenomenological treatment of being and as a general theory of being in its most rigorous sense. At least, this philosophy could be designated as a phenomenological ontology which opens up itself towards an originally metaphysical perspective based on a specific type of knowledge of the sort of “global disclosure”. I will argue too that within Şora's philosophy one can have a twofold (...) approach: one starts from what we could call the phenomenology of the “common givenness” (“ordinary/ quotidian givenness”) and then proceeds (in a phenomenological manner) to a general theory of being, which is represented in Şora's philosophy by the constitution of the model of the “sphere with the null ray”; the second commences with the treatment of the ontological model as such (the model, which is already formed, represents in the end the symbolic structure of reality), that is, from this “general theory of being” (or of the constitution of being) and then advances step by step towards various (phenomenological) applications of this ontological model to the multifaceted spheres of the domain of being (the sphere of language, of temporality, of ethics, of the social, of politics, etc.). (shrink)

The perceptual symbol system view assumes that perceptual representations have a role-argument structure. A role-argument structure is often incorporated into amodal symbol systems in order to explain conceptual functions like abstraction and rule use. The power of perceptual symbol systems to support conceptual functions is likewise rooted in its use of structure. On Barsalou's account, this capacity to use structure (in the form of frames) must be innate.

After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated with the golden (...) ratio are also involved in both the calculation of the fine-structure constant and the proton-electron mass ratio. These constants are included in symbolic geometry of historical relevance in the science of the ancients. (shrink)

In this paper the class of Fidel-structures for the paraconsistent logic mbC is studied from the point of view of Model Theory and Category Theory. The basic point is that Fidel-structures for mbC (or mbC-structures) can be seen as first-order structures over the signature of Boolean algebras expanded by two binary predicate symbols N (for negation) and O (for the consistency connective) satisfying certain Horn sentences. This perspective allows us to consider notions and results from (...) Model Theory in order to analyze the class of mbC-structures. Thus, substructures, union of chains, direct products, direct limits, congruences and quotient structures can be analyzed under this perspective. In particular, a Birkhoff-like representation theorem for mbC-structures as subdirect poducts in terms of subdirectly irreducible mbC-structures is obtained by adapting a general result for first-order structures due to Caicedo. Moreover, a characterization of all the subdirectly irreducible mbC-structures is also given. An alternative decomposition theorem is obtained by using the notions of weak substructure and weak isomorphism considered by Fidel for Cn-structures. (shrink)

This paper discusses similarities of both form and meaning between two symbolic structures: the Diagram of the Supreme Pole of Song Neo-Confucianism and the Kabbalistic Tree of medieval Jewish mysticism. These similarities are remarkable in the light of the many differences that exist between Chinese and Judaic thought, which also manifest in the two symbols. Intercultural influence might account for the similarities, but there is no historical evidence for such influence. An alternative explanation would attribute the similarities to (...) the ubiquity of religious-philosophical ideas about hierarchy, polarity, and macrocosm-microcosm parallelism, but this does not adequately account for the similar overall structure of the symbols. The question of how to understand these similarities remains open. (shrink)

This article is a commentary on Machery (2009) Doing without Concepts. Concepts are mental symbols that have semantic structure and processing structure. This approach (1) allows for different disciplines to converge on a common subject matter; (2) it promotes theoretical unification; and (3) it accommodates the varied processes that preoccupy Machery. It also avoids problems that go with his eliminativism, including the explanation of how fundamentally different types of concepts can be co-referential.

The paper aims to show that by abstracting from a specific mythical historical- stylistic context and “ideation” of the notion of the Proto-Slavic deities Perun and Veles, especially in Croatian tradition, symbolic archetypes and abstract notions of form and primordial matter (materia prima) can be extracted from mythical content. We refer to mythical texts and contents according to the reconstructions and materials brought by Radoslav Katičić, and comparative analysis by Mislav Ježić. We distinguish form (1) as that in which identity (...) and possibility of a thing consists, (2) as the reasonableness of judgment and the form of existence, and (3) as the specific structure of a thing, which unites its parts and aspects as a whole and constitutes its internal necessity. These formative notions are relativized and nullified in Veles’ appearances, in which the archetypal notion of primordial matter is encoded. Examples of Platō’s dialogues historically confirm certain aspects of decoding myth as constitutive of philosophy. The above approach also opens a view of the roots of Croatian philosophical thought, which in its genesis can be traced back to Proto-Slavic mythical archetypes. With the implementation of Christianity, the questions of identity, reason and the structure of the whole are raised radically and sharply, as shown by the text of Trpimir’s grant (852). (shrink)

In the course of daily life we solve problems often enough that there is a special term to characterize the activity and the right to expect a scientific theory to explain its dynamics. The classical view in psychology is that to solve a problem a subject must frame it by creating an internal representation of the problem’s structure, usually called a problem space. This space is an internally generable representation that is mathematically identical to a graph structure with nodes and (...) links. The nodes can be annotated with useful information, and the whole representation can be distributed over internal and external structures such as symbolic notations on paper or diagrams. If the representation is distributed across internal and external structures the subject must be able to keep track of activity in the distributed structure. Problem solving proceeds as the subject works from an initial state in mentally supported space, actively constructing possible solution paths, evaluating them and heuristically choosing the best. Control of this exploratory process is not well understood, as it is not always systematic, but various heuristic search algorithms have been proposed and some experimental support has been provided for them. (shrink)

A great deal of research has focused on the question of whether or not concepts are embodied as a rule. Supporters of embodiment have pointed to studies that implicate affective and sensorimotor systems in cognitive tasks, while critics of embodiment have offered nonembodied explanations of these results and pointed to studies that implicate amodal systems. Abstract concepts have tended to be viewed as an important test case in this polemical debate. This essay argues that we need to move beyond a (...) pretheoretical notion of abstraction. Against the background of current research and theory, abstract concepts do not pose a single, unified problem for embodied cognition but, instead, three distinct problems: the problem of generalization, the problem of flexibility, and the problem of disembodiment. Identifying these problems provides a conceptual framework for critically evaluating, and perhaps improving upon, recent theoretical proposals. (shrink)

This paper concerns “human symbolic output,” or strings of characters produced by humans in our various symbolic systems; e.g., sentences in a natural language, mathematical propositions, and so on. One can form a set that consists of all of the strings of characters that have been produced by at least one human up to any given moment in human history. We argue that at any particular moment in human history, even at moments in the distant future, this set is finite. (...) But then, given fundamental results in recursion theory, the set will also be recursive, recursively enumerable, axiomatizable, and could be the output of a Turing machine. We then argue that it is impossible to produce a string of symbols that humans could possibly produce but no Turing machine could. Moreover, we show that any given string of symbols that we could produce could also be the output of a Turing machine. Our arguments have implications for Hilbert’s sixth problem and the possibility of axiomatizing particular sciences, they undermine at least two distinct arguments against the possibility of Artificial Intelligence, and they entail that expert systems that are the equals of human experts are possible, and so at least one of the goals of Artificial Intelligence can be realized, at least in principle. (shrink)

This paper presents a mutual confrontation of the oeuvres of Pierre Teilhard de Chardin (1881–1955) and Jacques Lacan (1901–1980), highlighting their relevance for the planetary challenges we are facing today. I will present their views on technoscience, environmental pollution and religious faith, focussing on human genomics as a case study. Both authors claim that technoscience reflects a tendency towards symbolisation: incorporating the biosphere (liv- ing nature) into the “symbolic order’ (Lacan) or ‘noosphere’ (Teilhard). On various occasions, Lacan refers to Teilhard’s (...) concept of the hominization of the planet and their dialogue culminates in a ‘final conversation’ between Teilhard and Lacan in 1954, during a reception organised by the journal Psyché. I will conclude that the Teilhard-Lacan dialogue is highly relevant for current debates concerning the Anthropocene, as a moment of global awakening and global crisis. Processes of hominization allowed humans to become literate beings, littering the planet as well: humans as literate litterers. Whereas Teilhard argues that technoscience and self-direc- ted evolution are about to culminate in what he refers to as point Omega, Lacan rather stresses the hazards involved in this optimistic desire towards all-encompassing synthesis, unification and fulfilment. (shrink)

Determinismus und Indeterminismus in der modernen Physik is one of Cassirer’s least known and studied works, despite his own assessment as “one of his most important achievements”. A prominent theme locates quantum mechanics as a yet further step of the tendency within physical theory towards the purely functional theory of the concept and functional characterization of objectivity. In this respect DI can be considered an “update”, like the earlier monograph Zur Einsteinschen Relativitätstheorie: Erkenntnistheoretische Betrachtungen, to Substanzbegriff und Funktionsbegriff, a seminal (...) work considering only classical and pre-relativistic physics. But how does DI cohere with the three volumes of The Philosophy of Symbolic Forms providing a systematic survey of symbolic meanings in diverse aspects of culture, each with its own mode of “objectification” via self-created signs and images? Cassirer’s “phenomenology of cognition” via distinct types of symbolic form locates Dirac’s Principles of Quantum Mechanics as an exemplar within physical theory of purely symbolic thought, a realm of pure relations and their correlated meanings. In particular, Dirac’s characterization of the new notion of “physical state” in quantum mechanics by a “symbolic algebra of observables” severed from particular representations points to a limiting pole of the Bedeutungsfunktion, the third and highest mode of symbolic formation. (shrink)

The articles in this issue represent the pursuit of a new understanding of the human past, one that can replace the neo-saltationist view of a human revolution with models that can account for the complexities of the archaeological record and of human social lives. The articulation of archaeological, philosophical, and biological perspectives seems to offer a strong foundation for exploring available evidence, and this was the rationale for collecting these particular articles. Even at this preliminary stage there is a coherence (...) emerging in proposals: the origin and operation of symbolically rich, complexly signaling human social systems was the consequence of the long-term evolution of multiple components of perceiving and negotiating social interactions, a contingent outcome of myriad adaptive shifts rather than a single event. (shrink)

The concept of philosophy as a philosophical problem.--Critical idealism as a philosophy of culture.--Descartes, Leibniz, and Vico.--Hegel's theory of the State.--The philosophy of history.--Language and art I.--Language and art II.--The educational value of art.--Philosophy and politics.--Judaism and the modern political myths.--The technique of our modern political myths.--Reflections on the concept of group and the theory of perception.

Aspects of human symbolic evolution are studied by scholars active in a variety of fields and disciplines in the life and the behavioral sciences as well as the scientific-philosophical, sociological, anthropological, and linguistic sciences. These fields and disciplines all take on an evolutionary approach to the study of human symbolism, but scholars disagree in their theoretical and methodological attitudes. Theoretically, symbolism is defined differentially as knowledge, behavior, cognition, culture, language, or social group living. Methodologically, the diverse symbolic evolution sciences establish (...) their teachings upon diverging evolutionary biological schools and paradigms. This chapter reviews past and current research fields in human symbolic evolution for how they differentially implement tenets of the major evolution schools that were discussed in the previous chapter. Traditional evolutionary epistemology and biosemiotics bring in a mesoevolutionary outlook by drawing on early Darwinism and evolutionary developmental biology movements that emphasize the role of the organism in evolution. Communication studies instead originally take on a microevolutionary perspective by investigating how units of information are transmitted across generations through time. Only later do they integrate studies on meaning-making at the organismal level. Sociobiology complements a microevolutionary with a macroevolutionary outlook by implementing population genetic approaches, typical of the Modern Synthesis, into studies on individual and group behavior. The new symbolic evolutionary sciences build upon these traditions and include disciplines such as evolutionary psychology, evolutionary linguistics, evolutionary anthropology, evolutionary archaeology, evolutionary sociology, and evolutionary economics. Originally centered on implementing Darwinian selection theory, these fields are now including ecological and evolutionary developmental biology as well as reticulate evolutionary paradigms. As diverse in outlook and scope as they are, no discipline holds a privileged position over the other and all have made valuable contributions to our understanding of human symbolic evolution. (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)

My paper will analyze Cassirer’s logic of the cultural sciences as it developed in close engagement with work on logic, psychology, biology, and linguistics in the nineteenth and early twentieth centuries. The paper focuses on Chajim Steinthal, who sees the “expressive form” of language as a natural function of human engagement with the environment, developing independently of logic. When read in the context of his engagement with Steinthal, the biologist Uexküll, and the neuroscientist Kurt Goldstein, The Philosophy of Symbolic Forms (...) reimagines the role of logic and language in the construction of the cultural world. This provides a reading of what Cassirer means by the logic of the cultural sciences, and what he means by culture itself. My reading highlights the tension, which I argue stems from Steinthal’s earlier work, between the assertion that phenomena including linguistic expression, living beings, and consciousness develop independently of a unifying logic, and Cassirer’s assertion that we live in a common, objective human world. (shrink)

The paper is a commentary on the target article by Christine A. Skarda & Walter J. Freeman, “How brains make chaos in order to make sense of the world”, in the same issue of the journal, pp.161–195. -/- I confine my comments largely to some philosophical claims that Skarda & Freeman make and to the relationship of their model to connectionism. Some of the comments hinge on what symbols are and how they might sit in neural systems.

There are two versions of the language-of-thought hypothesis (LOT): Representational LOT (roughly, structured representation), introduced by Ockham, and computational LOT (roughly, symbolic computation) introduced by Fodor. Like many others, I oppose the latter but not the former. Quilty-Dunn et al. defend representational LOT, but they do not defend the strong computational LOT thesis central to the classical-connectionist debate.

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)

Today, in the situation that we call the instanternity of the digital age, the visual aspect of the social (and power) relations is ever more important. The majority of human interactions on the Internet are happening in the field of vision. In this field, human desire follows the scopic drive, which is, according to Freud, expressed in the ambivalence of voyeurism and exhibitionism. This means that voyeurism and exhibitionism are the fundamental mechanisms operating in, and structuring, the digital virtual. This (...) topic, in a broader sense, tackles the inscription of the subject within the digital virtual spectacle, which deals with the relation between the individual’s imaginary and symbolic identification, that is, between the ideal ego and the ego ideal. To a certain extent, this also relates to what has been marked as a »pathological narcissism«. Even if the changes brought about by the digital virtual, as far as the subject is concerned, are not ontological, i.e. they do not concern its relation to being, they do concern its entry into the field of the Other, and can, because they are systemic changes, fundamentally restructure the social fabric. The bet of this article is therefore not only to try to understand the mechanisms driving the formation of subjectivity within the digital virtual, but also to trace their transformative potential. (shrink)

It is common to distinguish two great families of representation. Symbolic representations include logical and mathematical symbols, words, and complex linguistic expressions. Iconic representations include dials, diagrams, maps, pictures, 3-dimensional models, and depictive gestures. This essay describes and motivates a new way of distinguishing iconic from symbolic representation. It locates the difference not in the signs themselves, nor in the contents they express, but in the semantic rules by which signs are associated with contents. The two kinds of rule (...) have divergent forms, occupying opposite poles on a spectrum of naturalness. Symbolic rules are composed entirely of primitive juxtapositions of sign types with contents, while iconic rules determine contents entirely by uniform natural relations with sign types. This distinction is marked explicitly in the formal semantics of familiar sign systems, both for atomic first-order representations, like words, pixel colors, and dials, and for complex second-order representations, like sentences, diagrams, and pictures. (shrink)