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)

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 expounds a symbolic interactionist theory of consciousness as an emergent phenomenon. It relates Michael Arbib's theory of the origin of language and Erving Goffman's frame analysis, especially as it bears on our understanding of the subject and of personal experience. Reflexivity and fictional mimesis are shown to be inherent to the origin of language and to the continuing emergent creativity of human communicative action. The emergent aspect of consciousness is also dealt with from the perspective of a (...) narrative theory of subjective experience and of human temporality which can usefully complement and relate Arbib's and Goffman's views. (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.

“Second-order Logic” in Anderson, C.A. and Zeleny, M., Eds. Logic, Meaning, and Computation: Essays in Memory of Alonzo Church. Dordrecht: Kluwer, 2001. Pp. 61–76. -/- Abstract. This expository article focuses on the fundamental differences between second- order logic and first-order logic. It is written entirely in ordinary English without logical symbols. It employs second-order propositions and second-order reasoning in a natural way to illustrate the fact that second-order logic is actually a familiar part of (...) our traditional intuitive logical framework and that it is not an artificial formalism created by specialists for technical purposes. To illustrate some of the main relationships between second-order logic and first-order logic, this paper introduces basic logic, a kind of zero-order logic, which is more rudimentary than first-order and which is transcended by first-order in the same way that first-order is transcended by second-order. The heuristic effectiveness and the historical importance of second-order logic are reviewed in the context of the contemporary debate over the legitimacy of second-order logic. Rejection of second-order logic is viewed as radical: an incipient paradigm shift involving radical repudiation of a part of our scientific tradition, a tradition that is defended by classical logicians. But it is also viewed as reactionary: as being analogous to the reactionary repudiation of symbolic logic by supporters of “Aristotelian” traditional logic. But even if “genuine” logic comes to be regarded as excluding second-order reasoning, which seems less likely today than fifty years ago, its effectiveness as a heuristic instrument will remain and its importance for understanding the history of logic and mathematics will not be diminished. Second-order logic may someday be gone, but it will never be forgotten. Technical formalisms have been avoided entirely in an effort to reach a wide audience, but every effort has been made to limit the inevitable sacrifice of rigor. People who do not know second-order logic cannot understand the modern debate over its legitimacy and they are cut-off from the heuristic advantages of second-order logic. And, what may be worse, they are cut-off from an understanding of the history of logic and thus are constrained to have distorted views of the nature of the subject. As Aristotle first said, we do not understand a discipline until we have seen its development. It is a truism that a person's conceptions of what a discipline is and of what it can become are predicated on their conception of what it has been. (shrink)

Unity has been touted as the cornerstone of Indonesian nationalism since its declaration in 1945. With the national motto Bhinneka Tunggal Ika, Indonesian unity holds a sacred and absolute status. However, in reality, unity sometimes becomes a national problem. This article revisits Indonesian unity by shedding light on its darker aspects, namely heteronormativity, and introduces how Indonesian unity can be supported by a new ontological alternative: pluriverse. The study provides a brief historical overview of the New Order era and (...) the family ideology that shaped an adherence to heteronormative norms, and followed by exploration of the pluriverse as an ethical ontological foundation that can deepen the struggle for unity. (shrink)

Modern semiotics is a branch of logics that formally defines symbol-based communication. In recent years, the semiotic classification of signs has been invoked to support the notion that symbols are uniquely human. Here we show that alarm-calls such as those used by African vervet monkeys (Cercopithecus aethiops), logically satisfy the semiotic definition of symbol. We also show that the acquisition of vocal symbols in vervet monkeys can be successfully simulated by a computer program based on minimal semiotic and neurobiological constraints. (...) The simulations indicate that learning depends on the tutor-predator ratio, and that apprentice-generated auditory mistakes in vocal symbol interpretation have little effect on the learning rates of apprentices (up to 80% of mistakes are tolerated). In contrast, just 10% of apprentice-generated visual mistakes in predator identification will prevent any vocal symbol to be correctly associated with a predator call in a stable manner. Tutor unreliability was also deleterious to vocal symbol learning: a mere 5% of “lying” tutors were able to completely disrupt symbol learning, invariably leading to the acquisition of incorrect associations by apprentices. Our investigation corroborates the existence of vocal symbols in a non-human species, and indicates that symbolic competence emerges spontaneously from classical associative learning mechanisms when the conditioned stimuli are self-generated, arbitrary and socially efficacious. We propose that more exclusive properties of human language, such as syntax, may derive from the evolution of higher-order domains for neural association, more removed from both the sensory input and the motor output, able to support the gradual complexification of grammatical categories into syntax. (shrink)

This paper focuses on the concept of symbol and tries to outline its function as a means of communication. In order to describe the communicative qualities of symbol, it is necessary to show its ethical nature. The paper analyses the role symbols play in intersubjective relations, in the construction of the individual’s reality, and in the human ability to attribute meanings and assign functions.The conceptual frame- work for the understanding of what symbol is, how it works, and how it (...) is made is a particular combination of phenomenology and pragmatism, which lies on the theory of ‘appresentation’, as we can find it in Alfred Schütz’s viewpoint. The paper invites a reflection on the power of symbol, particularly on its power to communicate the incommunicable. (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)

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.

In this paper, we examine some basic linguistic abilities in a small sample of adults with minimal receptive vocabulary, whose receptive mental verbal age ranges from 1;2 to 3;10. In particular, we examine whether the participants in our study understand noun phrases consisting of a noun modified by an adjective. We use stimuli that they can recognise by name. Except for one participant, we find that, while all of them understand the noun and adjective in isolation, none seems to understand (...) these noun phrases, which means that they seem to not do linguistic composition. In order to test whether the difficulty is linguistic or conceptual, we ran two other studies, one on concept composition, and the other on iconic symbolic composition (composition of pictograms). Results suggest that linguistic composition is particularly difficult in this population, and that vocabulary breadth may not predict compositional abilities. (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)

I examine Kant's claim that a relation of symbolization links judgments of beauty and judgments of ‘systematicity’ in nature (that is, judgments concerning the ordering of natural forms under hierarchies of laws). My aim is to show that the symbolic relation between the two is, for Kant, much closer than many commentators think: it is not only the form but also the objects of some of our judgments of taste that symbolize the systematicity of nature. -/- .

Symbolic logic faced great difficulties in its early stage of development in order to acquire recognition of its utility for the needs of science and society. The aim of this paper is to discuss an early attempt by the British logician Lewis Carroll (1832–1898) to promote symbolic logic as a social good. This examination is achieved in three phases: first, Carroll’s belief in the social utility of logic, broadly understood, is demonstrated by his numerous interventions to fight (...) fallacious reasoning in public debates. Then, Carroll’s attempts to promote symbolic logic, specifically, are revealed through his work on a treatise that would make the subject accessible to a wide and young audience. Finally, it is argued that Carroll’s ideal of logic as a common good influenced the logical methods he invented and allowed him to tackle more efficiently some problems that resisted to early symbolic logicians. (shrink)

This article proposes to read John Banville’s The Book of Evidence, a crime story narrated from the protagonist’s first-person gaze, from a Lacanian perspective by referring to his mirror stage theory. As an extension of testimonial literature, the novel is deemed to be a narrative of introspective self-examination, thus introducing a creation of “the self” paralleling the text. The protagonist’s mnemonic narrative is accompanied by the idea of an alternative world of not only self-expression but also self-depiction and presentation, as (...) in Lacan’s Imaginary. This self-creation, however, may not be as innocent as it seems. The reason for this is that although the mirror phase involves a transition from the Imaginary to the Symbolic, it presupposes the role of the other, biologically (m)other, in order to accustom the subject to the law of society. However, just because the protagonist, Freddie, mentions his mother’s presence as “nothing,” there is no soothing force for his adaptation to societal laws. Here, Freddie is subject to what Lacan sees as a minor prototype who lives in a society and yet is attached to his own rules, which is the first principle of male violence associated with this novel. Therefore, this article also tries to find answers for Freddie’s performance of male violence within the axis of psychoanalytic postulations elaborated on Lacan’s identity theory. (shrink)

This article is the second step in our research into the Symbol Grounding Problem (SGP). In a previous work, we defined the main condition that must be satisfied by any strategy in order to provide a valid solution to the SGP, namely the zero semantic commitment condition (Z condition). We then showed that all the main strategies proposed so far fail to satisfy the Z condition, although they provide several important lessons to be followed by any new proposal. Here, (...) we develop a new solution of the SGP. It is called praxical in order to stress the key role played by the interactions between the agents and their environment. It is based on a new theory of meaning—Action-based Semantics (AbS)—and on a new kind of artificial agents, called two-machine artificial agents (AM²). Thanks to their architecture, AM2s implement AbS, and this allows them to ground their symbols semantically and to develop some fairly advanced semantic abilities, including the development of semantically grounded communication and the elaboration of representations, while still respecting the Z condition. (shrink)

This short paper grew out of an observation—made in the course of a larger research project—of a surprising convergence between, on the one hand, certain themes in the work of Mary Hesse and Nelson Goodman in the 1950/60s and, on the other hand, recent work on the representational resources of science, in particular regarding model-based representation. The convergence between these more recent accounts of representation in science and the earlier proposals by Hesse and Goodman consists in the recognition that, in (...) order to secure successful representation in science, collective representational resources must be available. Such resources may take the form of (amongst others) mathematical formalisms, diagrammatic methods, notational rules, or—in the case of material models—conventions regarding the use and manipulation of the constituent parts. More often than not, an abstract characterization of such resources tells only half the story, as they are constituted equally by the pattern of (practical and theoretical) activities—such as instances of manipulation or inference—of the researchers who deploy them. In other words, representational resources need to be sustained by a social practice; this is what renders them collective representational resources in the first place. (shrink)

The Turing Test (TT), the Chinese Room Argument (CRA), and the Symbol Grounding Problem (SGP) are about the question “can machines think?” We propose to look at these approaches to Artificial Intelligence (AI) by showing that they all address the possibility for Artificial Agents (AAs) to generate meaningful information (meanings) as we humans do. The initial question about thinking machines is then reformulated into “can AAs generate meanings like humans do?” We correspondingly present the TT, the CRA and the SGP (...) as being about generation of human-like meanings. We model and address such possibility by using the Meaning Generator System (MGS) where a system submitted to an internal constraint generates a meaning in order to satisfy the constraint. The system approach of the MGS allows comparing meaning generations in animals, humans and AAs. The comparison shows that in order to have AAs capable of generating human-like meanings, we need the AAs to carry human constraints. And transferring human constraints to AAs raises concerns coming from the unknown natures of life and human mind which are at the root of human constraints. Implications for the TT, the CRA and the SGP are highlighted. It is shown that designing AAs capable of thinking like humans needs an understanding about the natures of life and human mind that we do not have today. Following an evolutionary approach, we propose as a first entry point an investigation about the possibility for extending a “stay alive” constraint into AAs. Ethical concerns are raised from the relations between human constraints and human values. Continuations are proposed. (This paper is an extended version of the proceedings of an AISB/IACAP 2012 presentation). (shrink)

We study the first-order theories of some natural and important classes of coloured trees, including the four classes of trees whose paths have the order type respectively of the natural numbers, the integers, the rationals, and the reals. We develop a technique for approximating a tree as a suitably coloured linear order. We then present the first-order theories of certain classes of coloured linear orders and use them, along with the approximating technique, to establish complete axiomatisations (...) of the four classes of trees mentioned above. (shrink)

This paper defends the idea that Cassirer's methodology is idealistic in regard to validity claims and the structuralist views he holds and at the same time empiric in regard to the facts and genealogy of culture. This perspective is best to be unfolded along Cassirer's model of representation. The author does so by showing that Cassirer's triad of symbolic articulation (expressive, presentational, significative) and the triad of symbolic development (mimetic, analogical, symbolic) form a coherent and exhaustive theory (...) of symbolic formation. In order to defend this view, two main objections from the secondary literature against the consistency of this essential theory piece of The Philosophy of Symbolic Forms have to be rejected. (shrink)

In this paper, we deal with the computation of Lie derivatives, which are required, for example, in some numerical methods for the solution of differential equations. One common way for computing them is to use symbolic computation. Computer algebra software, however, might fail if the function is complicated, and cannot be even performed if an explicit formulation of the function is not available, but we have only an algorithm for its computation. An alternative way to address the problem is (...) to use automatic differentiation. In this case, we only need the implementation of the algorithm that evaluates the function in terms of its analytic expression in a programming language, but we cannot use this if we have only a compiled version of the function. In this paper, we present a novel approach for calculating the Lie derivative of a function, even in the case where its analytical expression is not available, that is based on the In finity Computer arithmetic. A comparison with symbolic and automatic differentiation shows the potentiality of the proposed technique. (shrink)

Psychoanalytic self-psychology as outlined by such depth psychologists as Jung, Fordham, Winnicott and Kohut provide a framework for conceptualizing a relationship of complementarity between psychic and immune defence as well as loss of bodily and self integration in disease. Physicist Erwin Schrödinger’s thesis that the so-called “arrow of time” does not necessarily deal a mortal blow to its creator is reminiscent of the concept of timeless dimensions of the unconscious mind and the Self in Analytical Psychology, manifest for instance, in (...) dream content and archetypal symbols. These notions are not only consistent with the concepts of timelessness and meaningful coincidence (synchronicity) in psychoanalysis. They are also implicitly spiritual with intimations of a numinous dimension of the evolutionary process in which humanity participates. This includes the idea that an evolving God becomes conscious through and is completed by humankind in a process (Incarnational) theology which regards the numinous as both immanent and transcendent. And concepts of mind which transcend the individual in a transpersonal sense. The treatment of the psychophysical problem by depth psychologist Carl Jung and physicist Wolfgang Pauli with their notion of the unconscious archetypes as timeless, cosmic ordering and regulating principles creating a bridge between mind and matter in a relationship of complementarity is compatible with such a perspective on the numinous which might in turn be useful for contemporary theology and spirituality. (shrink)

Unlike Derrida’s ‘there is no outside text, Lacan approaches the Real, that which lies beyond language, from two sides: the imaginary and the symbolic. In the first part of this work, by drawing upon the imaginary side of Lacanian Real, which is object petit a and by considering some literary and philosophical definitions of the pre-symbolic abyss, it is attempted to illustrate the non-representation artworks’ illustration of the pre-linguistic bodily urges and sensations. Next, by drawing upon symbolic (...) side of the Lacanian Real, which is sinthome, it will be shown how some artists create their own symbolic order and the New by approximating a point of idiomaticty just like what Lacan did with his mathemes. In the second part of the paper, Joe Weight’s Darkest Hour (2017) is analyzed to show how Winston Churchill first turns into an object petit a, and plugs the gap of the symbolic order by being elected as a prime minister; however, the impending fall of England by Nazi attacks strip Churchill of his self-confidence, then he resorts to people and by their hands, he rewrites himself anew turning himself into a sinthome and like Joyce and Lacan, who have created their own symbolic order, Churchill temporarily turns England into his own symbolic order to win the war. (shrink)

Both the slasher movie and its more recent counterpart the "torture porn" film centralize graphic depictions of violence. This article inspects the nature of these portrayals by examining a motif commonly found in the cinema of homicide, dubbed here the "pure moment of murder": that is, the moment in which two characters’ bodies adjoin onscreen in an instance of graphic violence. By exploring a number of these incidents (and their various modes of representation) in American horror films ranging from Psycho (...) (1960) to Saw VI (2009), the article aims to expound how these images of slaughter demonstrate (albeit in an augmented, hyperbolic manner) a number of long-standing problems surrounding selfhood that continue to fuel philosophical discussion. The article argues that the visual adjoining of victim and killer onscreen echoes the conundrum that in order to attain identity, the individual requires and yet simultaneously repudiates the Other that constitutes unique subjectivity. (shrink)

Timothy Williamson has shown that the B axiom for 'definitely' (α → Δ¬Δ¬α) guarantees that if a sentence is second-order vague in a Kripke model, it is nth order vague for every n. More recently, Anna Mahtani has argued that Williamson's epistemicist theory of vagueness does not support the B axiom, and conjectured that if we consider models in which the “radius of accessibility” varies between different points, we will be able to find sentences that are nth-order (...) vague but (n+1)th-order precise, for any n. This paper bolsters Mahtani's argument, shows her conjecture to be true, and shows that imposing certain further natural constraints on "variable radius" models does not change the situation. (shrink)

On a very natural conception of sets, every set has an absolute complement. The ordinary cumulative hierarchy dismisses this idea outright. But we can rectify this, whilst retaining classical logic. Indeed, we can develop a boolean algebra of sets arranged in well-ordered levels. I show this by presenting Boolean Level Theory, which fuses ordinary Level Theory (from Part 1) with ideas due to Thomas Forster, Alonzo Church, and Urs Oswald. BLT neatly implement Conway’s games and surreal numbers; and a natural (...) extension of BLT is definitionally equivalent with ZF. (shrink)

Most readings of Tayib Salih’s Season of Migration to the North have focused on Mustafa Saeed and the nameless narrator, both male characters, and they have largely avoided a politically radical reading of the novel. This article attempts to present the female character, Hosna, as the revolutionary par excellence, following Lacan and Slavoj Žižek’s reading of Antigone. Th rough Žižek’s distinction between the act and action, this article argues that Hosna’s deed at the end of the novel, murder and suicide, (...) is not just an action out of hopelessness but rather an act that aims to make a new social order possible. We will try to connect Žižek’s distinction between act and action to Benjamin’s distinction between divine violence and mythic violence and Lacan’s idea of “Th ing-directed desire” (Marc De Kesel 245). By doing so, this article aims to put the extreme violence of Hosna in a new light and argues against the readings that simply ignore her act as an extreme form of violence and fail to see it in a broader framework of philosophical and sociological understanding. (shrink)

This paper explores a new and post-structuralist discourse on the relationship between Lacan’s theory of mirror stage and the story of Narcissus as a mythological narrative. According to this discourse, subject is a construction posterior to the ‘I’. Lacan suggests that in the mirror stage 6-18 months old infants discern the I as something distinct from and outside of themselves for the first time through a reflective surface. An infant comprehends the image they see in this reflective surface as a (...) being independent of their mother and an object belonging to themselves, and they greatly admire this independent object as an ideal-I. That is, by discerning their own being through an image, the infant achieves a feeling of unity via this image and perceives their own being as an admirable unity. This feeling of I and unity, however, is doomed to decay as to become subject by means of the elements of Lacanian reality, namely language and the laws of society. Within the reality, Narcissus – exactly like in the Lacan’s theory of mirror – lost the confrontation of perceiving the image he admired in his reflection. The I of Narcissus, which he has been holding on as an image in this world, is drawn and demised whilst going beyond the water mirror so as to become a subject. In other words, the I that Narcissus admired in the reflection of the water underwent an unsurmountable deformation and he paid the price with his life. In this study, from the perspective of the Lacanian theory of subject it will be argued that the tragic split between imaginary and symbolic order represented by the death of Narcissus is not only a psychopathologic fact, but it is also a fundamental narrative about the construction of subject in the history of philosophy. (shrink)

In this essay, I try to go through the questions and analysis that Judith Butler puts on Althusser’s work—reading fundamentally and almost exclusively the essay on the “Ideological State Apparatus” from 1970, and the relationship she maintains in her reading with the Freud’s concept of repression and the Lacanian “symbolic order”. My central hypothesis is that it is the Foucauldian reading of Freud and Lacan, begun early in 1990 with Gender Trouble, that guides Butler in his interpretation of (...) the Althusserian concept of interpellation understood almost exclusively from the perspective of the “hailing” example that Althusser provides in his essay from 1970. This leads Butler to a reading that I characterize here as biographical—for its obscene reliance on a particular episode in Althusser’s life: the murder of Helène Rytman—and anti-Cartesian, insofar as it attempts reading the ideological readiness of the subject as something beyond the split of the cogito, and materially effected by an ontological repetition. The problem with Judith Butler's concept of repression is its unappealable juridical nature—which is paradoxical for an erudite reader of Michel Foucault—insofar as the agent of repression appears as analogous to the State and therefore it results assimilable with rebellions “melancholic” subjectivity. This conflation of the psychological and the social is conducive to some mass psychologism, which forgets Althusser’s debt to Lacan when elaborating his theory of ideology. I proceed to investigate the origins of this theory in the text “Three Notes on the Theory of Discourses” (1968) and in the recently published Que faire (2018). My tentative conclusion is that there is an idea of supplementary violence (in the Lacanian sense of plus-de-jouir) constitutive of the unconscious in Althusserian theory of ideology that cannot be overlooked, and that is linked to his reading of Freud. (shrink)

Chiastic order is an ancient expression for cross-classification. Cross-classification, in turn, is one of many terms used for the operation of conjoining or cross-mapping one domain, class or set of concepts with another. As such, it is the primordial form of non-quantified modelling and combinatory heuristics. This article presents a brief epistemological history of non-quantified modelling: its prehistory in the form of rhetorical chiasmus; its early (pre-symbolic) use by Plato as a cross-order (paradigmatic) modelling method; and its (...) “modern” (symbolic) use by Leibniz as a calculus of concepts. It will also be shown how classification theory itself is built on a cross-classificatory construct involving two fundamental logical/structural relationships: subordination and conjunction. Finally, examples of modern computer-aided, non-quantified modal modelling are presented in the areas of design theory, operational research and decision science. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Mother-Daughter Relations and the Maternal in Irigaray and ChodorowAlison StoneGod the Father and Jesus the Son; Abraham and Isaac; Uranus, Cronus, and Zeus; Zeus and Dionysus; Hamlet and his father; Fyodor Karamazov and his three sons—representations of and fantasies about father-son relationships are central to Western culture and philosophy. Within philosophy, one thinks of Hegel’s conception of the dialectic in terms of the divine trinity, Nietzsche’s preoccupation with Christ (...) and Dionysus, or Kierkegaard’s meditations on Abraham’s near-murder of Isaac. In contrast, mother-daughter relationships have been shrouded in near-universal silence—much more so than representations of either mothers and sons (Oedipus and Jocasta; Mary and Jesus) or fathers and daughters (Agamemnon and Iphigenia; Lear and Cordelia). Female and feminist theorists, writers, and artists have done much to bring mother-daughter relationships into representation and to reimagine the maternal beyond its traditional subservience to father-son dynasties.Amongst continental feminists, Luce Irigaray and Julia Kristeva have, of course, made major contributions to this task. Within Anglophone feminism, too, feminist psychoanalytic thinkers have sought to rectify Freud’s overemphasis on the paternal and on father-son relations. Nancy Chodorow’s important work in this area paints a portrait of contemporary mother-daughter relations which seems, at first sight, strikingly similar to Irigaray’s. Both thinkers suggest that mothers and their infant daughters experience a unique level of mutual identification. But under patriarchy—specifically, given exclusively female childrearing for Chodorow and given the absence of any symbolization of female subjectivity for Irigaray—daughters are forced to turn to the father [End Page 45] to achieve any psychical independence from their mothers. The independence that daughters thus attain coexists with ongoing psychical identification with their mothers, so that women oscillate endlessly between separation from and mergence with their mothers. If the dominant template for father-son relations involves violent rivalry followed by guilt-ridden father-worship as the cement of fraternal society, as Freud described in Totem and Taboo (Freud 2001), the template for mother-daughter relations involves hostile separation constantly undone by ongoing fusion. This difference in templates maps the social-symbolic difference between the paternal position of power/authority/law and the maternal position of powerlessness/silence/body.However, the manifest similarities between Irigaray’s and Chodorow’s pictures are embedded in deep theoretical differences. The details of their descriptions of mother-daughter relations differ, and they give different explanations for why these relations follow a logic of separation and fusion: female mothering for Chodorow, the paternal symbolic order for Irigaray. They make different proposals for how to change these relations: shared parenting for Chodorow versus symbolic transformation for Irigaray. They hold conflicting conceptions of the self and of language, reflecting their heterogeneous psychoanalytic backgrounds in Anglo-American object relations versus French Lacanianism and poststructuralism. These deep differences raise questions about whether Chodorow and Irigaray are discussing mother-daughter relations in the same sense at all.Bringing Irigaray and Chodorow together across their different intellectual contexts, this article compares and partially synthesizes their visions of the maternal and of mother-daughter relations. By integrating their perspectives, we can move beyond the “impasse” between Lacanian and object-relations feminisms that dominated psychoanalytic feminist debates in the 1980s and 1990s (Brennan 1991)—debates that have crucially shaped continental feminists’ orientation towards questions of sexual difference, language and representation, and the embodied psyche.The impasse in question has at least two strands. First, for object-relations feminists such as Chodorow, our pre-Oedipal relations with our mothers shape us so that we acquire “core” selves with a fairly stable gender. This approach elevates the mother in importance (compared to classical psychoanalysis with its emphasis on the father), but it loses sight of psychic and gender instability. This can make Chodorow’s views seem rather dated given the impact of Judith Butler’s work and her emphasis on the unstable, shifting nature of gender. Lacanian feminists such as Jacquelyn Rose (Rose 1986) reemphasize psychic instability, but they do so by stressing that the subject is split between paternal language and the pre-Oedipal maternal realm, which means that these theorists also... (shrink)

This paper clarifies Merleau-Ponty’s original account of “higher-order” cognition as fundamentally embodied and enacted. Merleau-Ponty’s philosophy inspired theories that deemphasize overlaps between conceptual knowledge and motor intentionality or, on the contrary, focus exclusively on abstract thought. In contrast, this paper explores the link between Merleau-Ponty’s account of motor intentionality and his interpretations of our capacity to understand and interact productively with cultural symbolic systems. I develop my interpretation based on Merleau-Ponty’s analysis of two neuropathological modifications of motor intentionality, (...) the case of the brain-injured war veteran Schneider, and a neurological disorder known as Gerstmann’s syndrome. Building on my analysis of Schneider’s sensorimotor compensatory performances in relation to his limitations in the domains of algebra, geometry, and language usage, I demonstrate a strong continuity between the sense of embodiment and enaction at all these levels. Based on Merleau-Ponty’s interpretations, I argue that “higher-order” cognition is impaired in Schneider insofar as his injury limits his sensorimotor capacity to dynamically produce comparatively more complex differentiations of any given phenomenal structure. I then show how Merleau-Ponty develops and specifies his interpretation of Schneider’s intellectual difficulties in relation to the ambiguous role of the body, and in particular the hand, in Gerstmann’s syndrome. I explain how Merleau-Ponty defends the idea that sensorimotor and quasi-representational cognition are mutually irreducible, while maintaining that symbol-based cognition is a fundamentally enactive and embodied process. (shrink)

In order to meet the explanatory challenge levelled against non-representationalist views on cognition, radical enactivists claim that cognition about potentially absent targets involves the socioculturally scaffolded capacity to manipulate public symbols. At a developmental scale, this suggests that higher cognition gradually emerges as humans begin to master language use, which takes place around the third year of life. If, however, it is possible to show that pre-linguistic infants represent their surroundings, then the radical enactivists’ explanation for the emergence of (...) higher cognition is defeated. In this paper, I critically assess experiments designed to show that pre-linguistic infants inherit representational abilities. I begin by outlining these experiments in Sect. 2. In Sect. 3, I argue that these experiments only succeed in supporting widespread representationalism by committing a particular kind of circular reasoning, which I call conjunctivist reasoning due to its origins in the debates about the nature of perception. I conclude by developing two independent yet congruent enactivist lines of interpretation for the experiments discussed in 2. I explain the infants’ responses to atypical experimental conditions based on agent-environment codetermination and then I argue that surprise behavior can be explained in terms of embodied habits and unfulfilled anticipation. (shrink)

The Semitic myth of a savior/messiah has played a prominent metaphorical role in the socio-political history of the West. In the period of the Holy Roman Empire, the Christian God played the role of the Messiah. In the period of capitalist modernity, Reason played the same role, of course with the help of God, suitably reshaped by theology (the science of God). God and Reason conspired against Nature and the humans branded as pagans. This created innumerable problems and Fascism and (...) Communism emerged as reactions against that. After the defeat of fascism and the collapse of the Soviet model of Communism, there arose a new world order with the World Market as the new messiah. This paper posits that in each of these periods, the ethos has been largely dictated by the messiah and that the new messiah, World Market, has caused the rise of the new socio-cultural phenomenon, called post-truth. The emergence of Fascism in many parts of the world, including India, is mainly caused by the resultant widespread cynicism. Jacque Lacan’s ideas are substantially borrowed to develop the conceptual tools for the analysis. (shrink)

Fred Polak’s futurology takes up where F. W. Schelling’s claims about the ‘modern mythology’ leaves off. Linking these, I argue Art and humanity’s joint meaning crisis originates in ‘symbolic idealism’, de-futurising both and crippling humanity’s attempts to develop a proper internal ‘narrative order of goods’ needed for our survival. Polak’s tracing of how various forms of Expressionism emerged from Impressionism in later modernism, transforming our images of reality and the future, vindicates Schelling’s earlier claims that our symbolic (...) mode of ‘worlding’ creates a materially positivistic idea of progress. And our modern repurposing of art has produced what Polak calls a disorienting ‘false and deluded realism’ partly responsible for the counter-utopian, post-humanist tendencies prevalent today in both the East and West. (shrink)

In spite of Ernst Cassirer’s criticisms of psychologism throughout Substance and Function, in the final chapter he issues a demand for a “psychology of relations” that can do justice to the subjective dimensions of mathematics and natural science. Although these remarks remain somewhat promissory, the fact that this is how Cassirer chooses to conclude Substance and Function recommends it as a topic worthy of serious consideration. In this paper, I argue that in order to work out the details of (...) Cassirer’s psychology of relations in Substance and Function, we need to situate it within two broader frameworks. First, I position Cassirer’s view in relation to the view of psychology and logic endorsed by his Marburg Neo-Kantian predecessors, Hermann Cohen and Paul Natorp. Second, I augment Cassirer’s early account of the psychology of relations in Substance and Function with the more mature view of psychology that he presents in The Philosophy of Symbolic Forms. By placing Cassirer’s account within these contexts, I claim that we gain insight into his psychology of relations, not just as it pertains to mathematics and natural science, but to culture as a whole. Moreover, I maintain that pursuing this strategy helps shed light on one of the most controversial features of his philosophy of mathematics and natural science, viz., his theory of the a priori. (shrink)

It is here proposed an analysis of symbolic and sub-symbolic models for studying cognitive processes, centered on emergence and logical openness notions. The Theory of logical openness connects the Physics of system/environment relationships to the system informational structure. In this theory, cognitive models can be ordered according to a hierarchy of complexity depending on their logical openness degree, and their descriptive limits are correlated to Gödel-Turing Theorems on formal systems. The symbolic models with low logical openness describe (...) cognition by means of semantics which fix the system/environment relationship, while the sub-symbolic ones with high logical openness tends to seize its evolutive dynamics. An observer is defined as a system with high logical openness. In conclusion, the characteristic processes of intrinsic emergence typical of “bio-logic” - emerging of new codes-require an alternative model to Turing- computation, the natural or bio-morphic computation, whose essential features we are going here to outline. (shrink)

This work is compiled for the students, research scholars, academicians, who are interested in logic, philosophy, mathematics and critical thinking. The main objective of this book is to provide basics or fundamental knowledge for those who have chosen logic as their subject in order to develop analytical and critical ideas. It has been primarily developed to serve as an introductory piece of work which includes explanatory notes on different courses like Inductive logic, Deductive logic, propositional logic, Symbolic logic, (...) Quantification logic, Modal logic and Critical thinking. Besides this, it also includes illustrations in decision making and scientific research methods in logic. This book is mainly devised to clear fundamental problems of logic. It contains eight chapters which are simply described and elaborated. (shrink)

Текст Десяти заповедей Библии предписывает поклоняться только единому Богу и запрещает создавать изображения Бога и изваяния. Цель данной статьи исследовать взгляды Мендельсона, Когена и Кассирера на связь между предписанием поклоняться единому Богу и запретом идолопоклонства в иудаизме. В статье рассматривается вопрос, почему Мендельсон и Коген определяют запрет на изображение Бога как запрет, характеризующий сущность иудаизма как религии разума. Анализируя понятие знака, Мендельсон объясняет поклонение идолам как непонимание указывающей функции знака; подобное непонимание ведет к ошибочному восприятию. Коген раскрывает с помощью этого (...) запрета уникальность истинного Бога иудаизма. Понятия знака и символа в текстах Мендельсона стали ключевыми для философии Кассирера. Посредством этих понятий он создает свою философию культуры и теорию восприятия. Мой аргумент состоит в том, что в свете философии Кассирера, идолопоклонство (как ошибочное восприятие) характеризует не только ушедшие в прошлое этапы развития религиозного сознания, но также является необходимым моментом в структуре восприятия. Abstract: The text of the Decalogue in the Bible orders to worship the one God and forbids creating images of God and any cultic statues. The aim of this paper is to inquiry the views of Mendelssohn, Cohen, and Cassirer - the Jewish German-speaking rational philosophers - regarding the link between the precept to worship the one God and the prohibition of the idolatry in Judaism. Why idolatry was identified with making images of God? The article will investigate the arguments, according to which Mendelssohn and Cohen define the prohibition of God’s images in Judaism as the essential law for religion based on reason. Mendelssohn’s understanding of idolatry is a result of his theory of sign. Analysing the concept of sign, Mendelssohn explains idol worship as misunderstanding of the sign’s function to denote things. Idolatry, in his terms, is an erroneous perception. For Cohen the prohibition of God’s images reveals the uniqueness of the true God of Judaism. The unique God has no image, and to make image of him is the same as to create another god. Mendelssohn’s concepts of sign and symbol became key concepts for Cassirer’s philosophy of culture and theory of perception. My final argument is that in light of Cassirer's philosophy, idolatry (defined previously as erroneous perception) characterizes not only past stages of religious consciousness, but also constitutes necessary moment in the structure of perception. -/- . (shrink)

This paper offers an expressivist account of logical form, arguing that in order to fully understand it one must examine what valid arguments make us do (or: what Achilles does and the Tortoise doesn’t, in Carroll’s famed fable). It introduces Charles Peirce’s distinction between symbols, indices and icons as three different kinds of signification whereby the sign picks out its object by learned convention, by unmediated indication, and by resemblance respectively. It is then argued that logical form is represented (...) by the third, iconic, kind of sign. It is noted that icons uniquely enjoy partial identity between sign and object, and argued that this holds the key to Carroll’s puzzle. Finally, from this examination of sign-types metaphysical morals are drawn: that the traditional foes metaphysical realism and conventionalism constitute a false dichotomy, and that reality contains intriguingly inference-binding structures. (shrink)

This paper presents pretending as an enacted and fundamentally social activity. First, it demonstrates why we should think of pretense as inherently social. Then, it shows how that fact affects our theory in terms of what is needed in order to pretend. Standardly, pretense is seen as requiring a mechanism that allows one to bypass the “obvious” re- sponse to the environment in order to opt for a symbolic response; that mechanism is im- aginative and representational. This (...) paper shows that the Enactive Account of Pretense reconsiders the idea that one needs to respond to an absent environment when pretending, proposing instead that socially con- stituted perceptual affordances for play allow for non-obvious ways of responding to the present environment. The enactive account of pretense suggests that one need not posit special cognitive pretense mechanisms and mental scripts in order to account for pretend- ing, as available capacities for active perception and re-enactment of routines suffice. This paper concludes with suggestions for the kinds of cognitive skills that should be sought out to explain pretense. (shrink)

This paper describes an AFOSR-supported basic research program that focuses on developing a new framework for combining hard with soft data in order to improve space situational awareness. The goal is to provide, in an automatic and near real-time fashion, a ranking of possible threats to blue assets (assets trying to be protected) from red assets (assets with hostile intentions). The approach is based on Conceptual Spaces models, which combine features from traditional associative and symbolic cognitive models. While (...) Conceptual Spaces are revolutionary, they lack an underlying mathematical framework. Several such frameworks have attempted to represent Conceptual Spaces, but by far the most robust is the model developed by Holender. His model utilizes integer linear programming in order to obtain an overall similarity value between observations and concepts that support the formation of hypotheses. This paper will describe a method for building Conceptual Spaces models for threats that utilizes ontologies as a means to provide a clear semantic foundation for this inferencing process; in particular threat ontologies and space domain ontologies are developed and employed in this approach. A space situational awareness use-case is presented involving a kinetic kill scenario and results are shown to assess the performance of this fusion-based inferencing framework. (shrink)

The aim of the research is to show the need to defend the prosaic reconfiguration of humanity that we set up every day by using temporary resources. This implies to discuss the overvalued achievements of the philosophies that advocate a direct encounter with our raw reality, or that defend an absolutist project of construction of the being of man that ends by suffocating him instead of offering any kind of salvation. The hypothesis states that the possibility of existence of man, (...) understood as the existence of a sense of the human — and, consequently, of a world with a meaning for man — depends on that prosaic configuration of our home that we have to reenact every morning. The development of meaningful worlds — that exist only as long as man exists, and vice versa — is achieved through symbolic resources, such as the metaphor or the concept. This allows us to replace one thing with another, merrily deferring the direct encounter with our constitutive ontological problematicity. To think man's reality is philosophically bearable only through metaphors and concepts, that is, by spreading a mundane prose that does not, that cannot and that should not come to an end. This in spite of the vocation for epic heroism that characterizes philosophy, and in spite of its temerarious impulse to dive into the depths in order to face what we directly cannot speak of, not without becoming speechless. (shrink)

This is the first section of a five part essay dealing with economics from the perspective of Ernst Cassirer's cultural philosophy. In this first section, I try to demonstrate how the human concern with meaning is distorted in our commercial society into a purely economic sense of reality that displaces other forms of meaning. This distortion and displacement are at the heart of the social, cognitive and spiritual dysfunctions that currently plague us. The "Leverage of Meaning" will prepare the ground (...) for the formulation of the economic as a symbolic form in order to hopefully find some guidance in Cassirer's thought for restoring economy to its rightful cultural function. (shrink)

Index and icon, metaphor and metonym in music – In this paper, it is argued that the widespread attempts to use notions taken from semiotics, linguistics or literary theory – such as symbol, index, iconic sign, metaphor and metonym – to analyze the meanings of music are most often misguided. Index in particular – contrary to popular belief – does not occur in music. Of all the notions considered here – metaphor and metonym, index and icon – only the last (...) may be applied to music in any essential way. That does not mean, however, that all musical meanings are so uniform in character. On the contrary: they are highly diverse, but notions mechanically imported from other fields are not suited to describing that diversity. The paper concludes with the suggestion that in order to produce such a description, one must endeavour to construct specifically musical distinctions and categorizations of meanings. (shrink)

Casting a glance at philosophical inquiries of the last decades, with regard to human cognition (in a broad sense), we are witnesses to turns one after the other. The settings were based on the change of scope and perspective of investigations. The so-called linguistic turn refers to “the view that philosophical problems are problems which may be solved (or dissolved) either by reforming language or by understanding more about the language we presently use”. In the 90s, W. J. T. Mitchell (...) coined the phrase pictorial turn, calling attention to the fact that “pictures form a point of peculiar friction and discomfort across a broad range of intellectual inquiry”. In order to eliminate this intellectual discomfort, Mitchell considers exploratory and explicatory approaches that focus on non-linguistic symbol systems and do not consider language as the only source of a significant paradigm regarding meaning. Recently, there has been a shift of emphasis regarding the basis of cognitive skills. This may be the next turn, a sensorimotor or activist one. Although this turn has massive roots in the past, and there is some controversy regarding whether it is fully reconcilable with various findings of cognitive neurology, this view seems to be capable of providing a framework within which the verbalist approach can cease to be the dominant view. (shrink)

Niche construction theory highlights the active role of organisms in modifying their environment. A subset of these modifications is the developmental niche, which concerns ecological, epistemic, social and symbolic legacies inherited by organisms as resources that scaffold their developmental processes. Since in this theory development is a situated process that takes place in a culturally structured environment, we may reasonably ask if implicit cultural biases may, in some cases, be responsible for maladaptive developmental niches. In this paper we wish (...) to argue for an affirmative answer. In order to do so, we first propose to conceptualize implicit bias as embodied perceptual habits, and then proceed to show that these habits are at least partially responsible for maladaptive developmental niches of children with Down syndrome and autism. With this framework we thus hope to bring together two fields of research that haven’t been explicitly connected: implicit bias and niche construction theory. Linking these two theories may bring benefits both to implicit bias researchers, who can extend this concept to characterize other sets of processes as biased, as well as to niche construction theorists, who will have a useful theoretical tool to diagnose maladaptive features of niches brought about by sociocultural biases. (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.

In its hegemonic definition, biopolitical governmentality is characterised by a seemingly infinite capacity of expansion, susceptible to colonise the landscape and timescape of the living present in the name of capitalistic productivity. The main trait of biopower is its normative, legal and political plasticity, allowing it to reappropriate critiques and resistances by appealing to bioethical efficacy and biological accuracy. Under these circumstances, how can we invent rebellious forms-of-life and alternative temporalities escaping biopolitical normativity? In this essay, I interrogate the theoretical (...) presuppositions of biopolitical rationality. I provide a deconstruction of the conceptual and temporal structures upholding the notion of biopolitics, in view of laying the ground for new forms of resistance. The articulation between life and power has a long philosophical history, which has been largely ignored by social theorists and political thinkers using biopolitics as an interpretative model. I re-inscribe this model within the tradition of critical materialism, by articulating Foucault’s ‘critical ontology’ to recent philosophical works on biological plasticity (Malabou). In these discourses, the logic of biopower depends on a representation of life – ‘the living’ – as living present. Biopower finds itself anchored in the authority of the present, that is to say, of being-as-presence (ontology); it sustains presentist definitions of life and materiality, be it under the form of a ‘plastic’ ontology. By drawing on Derrida’s notions of ‘spectrality’ and ‘life-death’ and Francesco Vitale’s work on ‘biodeconstruction’, I deconstruct these discourses on life and materiality and attempt to dissociate them from their ontological grounding, in order to suggest new paths of resistance to biopower. In particular, I follow the tracks of “the monster” in the work of Foucault, Derrida and Malabou. Foucault tells us that the monster is a singular figure, parasitic and subversive, beckoning a life beyond life, at once organic and non-organic, located at the limit between the normal and the exceptional, and exceeding the scope of biopolitical normativity in both theoretical and practical terms. It exists at the intersection of what Foucault names “the symbolics of blood” and “the analytics of sex”. As such, it materialises a self-transformative dimension of the living which remains, I argue, inadequate to Malabou’s representation of plasticity. The monstrous is a self-deconstructive motif calling for another biopolitical rationality, before or beyond ontological reductions or reconstructions. (shrink)

The value of up-hill skiing is double, it is first a sport and artistic expression, second it incorporates functional dependencies related to the natural obstacles which the individual aims to overcome. On the artistic side, M. Dufrenne shows the importance of living movement in dance, and we can compare puppets with dancers in order to grasp the lack of intentional spiritual qualities in the former. The expressivity of dance, as for, Chi Gong, ice skating or ski mountaineering is a (...) particular innocence and lightness which is called grace. It is life without the burden of worries. Grace, in slow progression uphill on snow, is as dance for Dufrenne, it has the most central and specific aesthetical quality of life. Others compared dance to a landscape, a landscape is for the sight, what dance is for life, a symbolical space, different from a usual space, where utility and dependency are present. A mountain can be a space of experience of natural beauty. Aesthetical qualities can be closely related to function related qualities as when a climber needs to adjust his movements to the natural convex inclination of the rocks, and avoid slippery forms of inclination, present on the other side of the mountain. The natural object, the quality of the snow or the rock differ from the aesthetical quality of the style of ascent by the absence of neutralization of the object, in case of a purely instrumental approach. On the contrary, grace in the rhythm of the progression of ski climbers needs a difference of attitude, which is not only proper to the playing, and delimited by the conditions of that play, but as a contingency driven attitude, without signification as radical alterity, without any finality. First ascent of the Matterhorn succeeded from the Swiss side, and not from the Italian side because of the different inclination of the rock on both sides. Grace in dance as in martial art or mountaineering is allowing to perceive an autonomy of the expression, as the truth of the perceived object, it puts away a cognitive and practical orientation and replaces it by a new meaning as movement in the whole set of movements done by the climber. This replacement of the functional expression resembles that operated by the painter who chooses a color in the whole set of colors in a painting, or a shape in the whole set of possible existing shapes. -/- Ref. Dufrenne, Mikel, (1989): The Phenomenology of Aesthetic Experience. Studies in Phenomenology and Existential Philosophy, trans. by Edward S. Casey, 1st publ. in 1953, Evanston: Northwestern University Press. (shrink)