Cognitive, or knowledge, agents, who are in some way aware of describing their own view of the world (based on their mental concepts), need to become concerned with the expressions of their own conceptions. My main supposition is that agents’ conceptions are mainly expressed in the form of linguistic expressions that are spoken, written, and represented based on e.g. letters, numbers, or symbols. This research especially focuses on symbolic conceptions (that are agents’ conceptions that are manifested in the form (...) of their symbols). I attempt to logically (and using ????LSYM) analyse symbolic conceptions in terminological systems. ????LSYM is an assertional fragment of my developed Conception Language (????L), which is utilised as a formal-logical system for representing and explicating agents’ conceptions of the world. Keywords: assertional logic; cognitive agent; knowledge agent; conception language; conception; symbol; symbolic conception. (shrink)

Linguistic expressions must be decrypted if they are to transmit information. Thoughts need not be decrypted if they are to transmit information. Therefore thought-processes do not consist of linguistic expressions: thought is not linguistic. A consequence is that thought is not computational, given that a computation is the operationalization of a function that assigns one expression to some other expression (or sequence of expressions).

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)

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)

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)

In a recently published article A. Nordmann highlighted the fact that Hertz considered it as the greatest pleasure of scientific research to be “alone with nature” and to learn “directly from nature” (see Nordmann, 1998, p. 156). Hertz contrasts this being on his own with nature with the “disputes about human opinions views and demands. (see Nordmann, 1998, p. 156) . It is this contrast between nature on the one hand and human beliefs etc. on the other that is fundamental (...) for his central epistemological pursuit: the attempt to sort out which features of our theories can be attributed to nature as opposed to those which depend on us. I will discuss the various writings in which Hertz touches this subject. (shrink)

Keeping track of what others believe is a central part of human social cognition. However, the social relevance of those beliefs can vary a great deal. Some belief attributions mostly tell us about what a person is likely to do next. Other belief attributions tell us more about a person's social identity. In this paper, I argue that we cope with this challenge by employing two distinct concepts of belief in our everyday social interactions. The epistemic concept of belief is (...) primarily used to keep track of what other people take to be true, and this informs how we predict and interpret their behaviors. The symbolic concept of belief, in contrast, is primarily used as a means of signaling one's social identity to other members of one's community. In turn, community members closely monitor each other's symbolic beliefs as a means of enforcing social norms. (shrink)

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

The 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.

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

This 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)

Kant uses the concept of the symbol to show the complicated relationship between the autonomy of beauty and its systematic function as a transition from nature to freedom, which are the two most important topics in the third Critique. Beauty’s symbolism of morality lies in the analog between aesthetic reflection and moral disposition; concretely, it lies in the purity or disinterestedness and self-legislation as negative and positive freedom in both subjective states of mind. In this scenario, beauty’s symbolism does not (...) refer to aesthetic ideas that either involve intelligent interests (in the beauty of nature) or presuppose an end (in the beauty of art); it also cannot be grounded in the supersensible substrate, which is an elevated and metaphysical principle of the judgment of taste given in the Dialectic but not the original principle of subjective purposiveness in the Analytic. With this formal relationship, beauty and morality accelerate each other in the empirical-anthological sense—but they are also not a sufficient or necessary condition for each other. Furthermore, through symbolism, taste looks toward the intelligible and serves as a transition from nature to freedom from the transcendental perspective. (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

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.

In ‘‘Why brains matter: an integrational perspective on The Symbolic Species’’ Cowley (2002) [Language Sciences 24, 73–95] suggests that Deacon pictures brains as being able to process words qua tokens, which he identifies as the theory’s Achilles’ heel. He goes on to argue that Deacon’s thesis on the co-evolution of language and mind would benefit from an integrational approach. This paper argues that Cowley’s criticism relies on an invalid understanding of Deacon’s use the concept of ‘‘symbolic reference’’, which (...) he appropriates from Peirce’s semiotic. Peirce’s analysis as well as Deacon’s appropriation will be examined in detail. Consequently it will be argued that an integrationist reading would add very little to Deacon’s core thesis. (shrink)

We present an algorithm for concept combination inspired and informed by the research in cognitive and experimental psychology. Dealing with concept combination requires, from a symbolic AI perspective, to cope with competitive needs: the need for compositionality and the need to account for typicality effects. Building on our previous work on weighted logic, the proposed algorithm can be seen as a step towards the management of both these needs. More precisely, following a proposal of Hampton [1], it combines two (...) weighted Description Logic formulas, each defining a concept, using the following general strategy. First it selects all the features needed for the combination, based on the logical distinc- tion between necessary and impossible features. Second, it determines the threshold and assigns new weights to the features of the combined concept trying to preserve the relevance and the necessity of the features. We illustrate how the algorithm works exploiting some paradigmatic examples discussed in the cognitive literature. (shrink)

The concept of symbolic power was first introduced by French sociologist Pierre Bourdieu to account for the tacit, almost unconscious modes of cultural/social domination occurring within the everyday social habits maintained over conscious subjects. Symbolic power accounts for discipline used against another to confirm that individual's placement in a social hierarchy, at times in individual relations but most basically through system institutions, in particular education.

The concept of symbolic power was first introduced by French sociologist Pierre Bourdieu to account for the tacit, almost unconscious modes of cultural/social domination occurring within the everyday social habits maintained over conscious subjects. Symbolic power accounts for discipline used against another to confirm that individual's placement in a social hierarchy, at times in individual relations but most basically through system institutions, in particular education.

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)

The Concepts of Bourdieu's Distinction: A Social Critique of the Judgement of Taste -/- The way Bourdieu introduces foreign concepts (habitus, doxa, logic of practice) is through jumping straight and enthusiastically into his deep thoughts, instead of clearly and logically defining them first. -/- Accepting these dominant characteristics of taste is, according to Bourdieu, a form of \" symbolic violence .\" That is, the fact of considering these distinctions between tastes as natural, and believing that they are necessary, denies (...) the dominated classes the possibility of defining their own world, which puts those with less general capital at a disadvantage. Moreover, even when the dominated social classes come to have their own ideas about what it is \"good taste \"and what is not,\" the aesthetics of the working class is dominated aesthetic, which it is obliged to always defined in terms of the aesthetics of the ruling class . (shrink)

Finnis claims that his theory proceeds from seven basic principles of practical reason that are self-evidently true. While much has been written about the claim of self-evidence, this article considers it in relation to the rigorous claims of logic and mathematics. It argues that when considered in this light, Finnis equivocates in his use of the concept of self-evidence between the realist Thomistic conception and a purely formal, modern symbolic conception. Given his respect for the modern positivist (...) separation of fact and value, the realism of the Thomistic conception cannot be the foundation for the natural law as Finnis would reconstruct it. Nor can the purely formal modern conception of self-evidence provide a foundation for practical reason. This raises some doubt as to whether there can be self-evident principles of practical reason as Finnis suggests. The article contributes to the analysis of the Finnis reconstruction of the natural law by providing a rigorous analysis of his claim for self-evidence. It frames this analysis historically, suggesting the roles that certainty and mystery play in the apprehension of moral meaning. (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)

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)

During the Fifties and the Early Sixties Hans Jonas developed a theory of man based on a series of concepts as separation of form from matter, image and symbol. By reflecting on these themes, Jonas seems to refer to the aesthetic abilities man embodies as the essence of human life. In this article I try to analyse Jonas’ thoughts on man and to determine to what extent it is possible to consider his theory as an aesthetic anthropology. Eventually, I discuss (...) what Aesthetics may win by directing its attention to this author. (shrink)

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)

According to the computational theory of mind , to think is to compute. But what is meant by the word 'compute'? The generally given answer is this: Every case of computing is a case of manipulating symbols, but not vice versa - a manipulation of symbols must be driven exclusively by the formal properties of those symbols if it is qualify as a computation. In this paper, I will present the following argument. Words like 'form' and 'formal' are ambiguous, as (...) they can refer to form in either the syntactic or the morphological sense. CTM fails on each disambiguation, and the arguments for CTM immediately cease to be compelling once we register that ambiguity. The terms 'mechanical' and 'automatic' are comparably ambiguous. Once these ambiguities are exposed, it turns out that there is no possibility of mechanizing thought, even if we confine ourselves to domains where all problems can be settled through decision-procedures. The impossibility of mechanizing thought thus has nothing to do with recherché mathematical theorems, such as those proven by Gödel and Rosser. A related point is that CTM involves, and is guilty of reinforcing, a misunderstanding of the concept of an algorithm. (shrink)

In his 1953 lectures at the College de France, Merleau-Ponty dedicated much effort to further developing his idea of embodied subject and interpreted fresh sources that he did not use in Phenomenology of Perception. Notably, he studied more in depth the neurological notion of "body schema". According to Merleau-Ponty, the body schema is a practical diagram of our relationships to the world, an action-based norm with reference to which things make sense. Merleau-Ponty more precisely tried to describe the fundamentally dynamic (...) unity of the body, i.e. the fact there are various possibilities how the practical "diagram" of body schema could be de-differentiated (in pathology) or further refined (via cognitive and cultural superstructures, symbolic systems). This chapter summarises Merleau-Ponty's interpretation of the notion, while contrasting it to the more traditional understanding of the body in phenomenology and recent philosophical texts dealing with body schema. (shrink)

The paper grasps and outlines the concepts and practices of library marketing as well as generally the marketing of non-profit institutions or organizations, conceptually defined as symbolic marketing- However, what is termed here as symbolic should not be understood as a "weaker " version of marketing, but as the proper way in which marketing perspectives can be actually implemented in such institutions; that is, as a practice which concerns and mobilizes all services and activities of such institutions. The (...) paper also presents the factual initiatives which have been going on for years - quite successfully - in the "Lucian B/aga'' Central University Library, Cluj- Napoca. Romania, especially around the library's periodical, the review Philobiblon. and on the basis of which recent 'projects " can also be conceived more consistently. (shrink)

The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s (...) Induction-Axiom Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of sentences, (...) above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

In this paper, I analyze the concept of ineffability: what does it mean to say that something cannot be said? I begin by distinguishing ineffability from paradox: if something cannot be said truly or without contradiction, this is not an instance of ineffability. Next, I distinguish two different meanings of ‘saying something’ which result from a fundamental ambiguity in the term ‘language’, viz. language as a system of symbols and language as a medium of communication. Accordingly, ‘ineffability’ is ambiguous, too, (...) and we should make a distinction between weak and strong ineffability. Weak ineffability is rooted in the deficiencies of a particular language while strong ineffability stems from the structure of a particular cognitive system and its capacities for conceptual mental representation. Mental contents are only sayable if we are able to conceptualize them and then create signs to represent them in communication. (shrink)

In Philosophical Investigations 193–94, Wittgenstein draws a notorious analogy between the working of a machine and the application of a rule. According to the view of rule-following that Wittgenstein is criticizing, the future applications of a rule are completely determined by the rule itself, as the movements of the machine components are completely determined by the machine configuration. On what conception of the machine is such an analogy based? In this paper, I intend to show that Wittgenstein relied on (...) quite a specific scientific tradition very active at the beginning of the twentieth century: the kinematic or the general science of machines. To explain the fundamental tenets of this line of research and its links with Wittgenstein, I focus on Franz Reuleaux, whose works were known to Wittgenstein. The first payoff of this investigation is to help distance the functionalist framework from which this passage is often read: Wittgenstein’s machines are not computers. The second payoff is to explain why Wittgenstein talks about machines at this place in his discussion on rule-following: it is not the machine model in itself that is criticized in PI 193–94, but the “philosophical” temptation to generalize from it. (shrink)

In theological sources, many symbols are used to explain the transcendent truths of existence. Among the shapes, the circle has the most use of a symbol which is important for Religious, philosophers, and mystics. However, what is refer mostly to the shape of a circle is the rotation of a circular line that begins at a point on a surface and ends at the same point; then, the most superficial and intermediate symbols of facts are explained with it. Contrary, the (...) present article proposes a novel way of drawing a circle, and with this approach, examines some philosophical concepts. We call this drawing "Boiling Circle", because, the rays are coming out boiling from the center. We also have analyzed and introduced a unique example of a mystical-philosophical-religious Architectural building, during which a circular spring has been built. Its water comes out boiling of the center and fills the five circles within itself and twelve eyes around it. This article begins with the drawing of a boiling circle, continues with explaining the philosophical symbols of the boiling circle and boiling spring according to Islamic mysticism, and ends with comparing and expressing the differences between the symbols of the two circles. (shrink)

The paper has three objectives: to expound a set-theoretical triplet model of concepts; to introduce some triplet relations (symbolic, logical, and mathematical formalization; equivalence, intersection, disjointness) between object concepts, and to instantiate them by relations between certain physical object concepts.

In the view of my philosophical position “nominal conceptualism”, cognitive/knowledge agents, who are in some way aware of expressing the world based on their mental concepts, deal with their linguistic and/or symbolic expressions. In this paper I rely on nominal conceptualism to logically characterise agents’ concept-based descriptions of the world and analyse a fundamental logical system for conception representation.

Consider the concept combination ‘pet human’. In word association experiments, human subjects produce the associate ‘slave’ in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of ‘pet’, or ‘human’ in isolation. In other words, the associate ‘slave’ seems to be emergent. Such emergent associations sometimes have a creative character and cognitive science is largely silent about how we produce them. Departing from a dimensional model of human conceptual space, this (...) article will explore concept combinations, and will argue that emergent associations are a result of abductive reasoning within conceptual space, that is, below the symbolic level of cognition. A tensor-based approach is used to model concept combinations allowing such combinations to be formalized as interacting quantum systems. Free association norm data is used to motivate the underlying basis of the conceptual space. It is shown by analogy how some concept combinations may behave like quantum-entangled particles. Two methods of analysis were presented for empirically validating the presence of non-separable concept combinations in human cognition. One method is based on quantum theory and another based on comparing a joint probability distribution with another distribution based on a separability assumption using a chi-square goodness-of-fit test. Although these methods were inconclusive in relation to an empirical study of bi-ambiguous concept combinations, avenues for further refinement of these methods are identified. (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)

A growing body of evidence suggests that cognition is embodied and grounded. Abstract concepts, though, remain a significant theoretical chal- lenge. A number of researchers have proposed that language makes an important contribution to our capacity to acquire and employ concepts, particularly abstract ones. In this essay, I critically examine this suggestion and ultimately defend a version of it. I argue that a successful account of how language augments cognition should emphasize its symbolic properties and incorporate a view of (...) embodiment that recognizes the flexible, multi- modal and task-related nature of action, emotion and perception systems. On this view, language is an ontogenetically disruptive cognitive technology that expands our conceptual reach. (shrink)

The main thesis of this paper is directed against the traditional (cognitivetheoretical) definition of the concept which claims that the concept is the '' thought about the essence of the object being thought'', i.e. that it is “a set of essential features or essential characteristics of an object''. But the '' set of essential features or essential characteristics of an object of thought'' is a '' content’’ of the thought. The thought about the essence of an object is definition and (...) the concept is not definition but the part of definition! Besides as the part of formal structure of thought, the concept possesses calculative logical properties that in formal logic (be it syllogistics, or the logic of propositions, or the logic of predicates) come to the front place of formal logical computation. Without the calculative properties of the concept, there would be no calculative properties of propositions which express the thought (thought structures). The calculative properties of a concept include the (1) degree of its logical generality (degree of variability), the (2) logical relations it can establish within the whole of the conceptual content, the (3) operability of the concept in structure of affirmation and negation, the (4) deducibility of either axiomatic or probabilistic systems. Therefore, I believe that, from the logical point of view, the definition of a concept should be applied in favor of its calculative properties that it possesses. (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.

Pierre Bourdieu’s social theory relies on concepts of four kinds of capital: economic, social, cultural, and symbolic. The anthropologist Pnina Werbner raises the issue of whether the concept of symbolic capital faces a paradox, because within some social groups one can only gain such capital by denying its value. There is a question of how best to clarify the paradox and I offer a clarification.

This study focuses on the ideas of Antonio Negri and Michael Hardt, the most influential thinkers of recent period, about the concepts of the Empire, Multitude and Biopolitical production. These concepts being at the center of contemporary political discussions problematise the ideaitonal foundations of the idea of Empire evaluated as a new form of sovereignty, the economic transformation in the contemporary capitalism and the new form of subjectivity in this age. To Negri and Hardt, Empire is seen as a logic (...) of network operating at global level and a new logic of sovereignty and governance going beyond the political boundaries of nation states as form of sovereignty. In this regard, multitude is evaluated as a collective and joint social subject against the power and command forms of empire. As for biopolitical production, it is defined as the production of life in which feelings, symbols, communication and cooperation go beyond the understanding that centers the production of tangible goods within the capitalist production and work organization. These three concepts draw an important framework in terms of understanding the economic, political transformation of the contemporary world. In this study, it was aimed at interpreting the nature of global changes brought forward by the Negri and Hardt thought within the boundaries of these three concepts. (shrink)

This study focuses on the ideas of Antonio Negri and Michael Hardt, the most influential thinkers of recent period, about the concepts of the Empire, Multitude and Biopolitical production. These concepts being at the center of contemporary political discussions problematise the ideaitonal foundations of the idea of Empire evaluated as a new form of sovereignty, the economic transformation in the contemporary capitalism and the new form of subjectivity in this age. To Negri and Hardt, Empire is seen as a logic (...) of network operating at global level and a new logic of sovereignty and governance going beyond the political boundaries of nation states as form of sovereignty. In this regard, multitude is evaluated as a collective and joint social subject against the power and command forms of empire. As for biopolitical production, it is defined as the production of life in which feelings, symbols, communication and cooperation go beyond the understanding that centers the production of tangible goods within the capitalist production and work organization. These three concepts draw an important framework in terms of understanding the economic, political transformation of the contemporary world. In this study, it was aimed at interpreting the nature of global changes brought forward by the Negri and Hardt thought within the boundaries of these three concepts. (shrink)

Students do not necessarily use the definitions presented to them when determining examples or non-examples of given mathematical ideas. Instead, they utilize the concept image they carry with them as a result of experiences with such examples and nonexamples. Hence, teachers should try exploring students‟ images of various mathematical concepts in order to improve communication between students and teachers. This suggestion can be addressed through error analysis. This study therefore is a descriptive-qualitative type that looked into the errors committed by (...) senior high school students in dealing with mathematical functions, explored the underlying reasons for such errors, and provided recommendations on how students could learn to manage their errors and how teachers could realize how to manage students‟ errors. Initial findings showed that the students generally demonstrated mathematical, logical and strategic errors. Mathematical error was generally exhibited in their inability to use properties and operations properly. Logical error was exhibited in their false arguments, rearranging concepts, improper classifications, arguing cyclically, and using equivalent transforms. Strategic error was manifested in their not being able to distinguish patterns, lack of integral concept, and not being able to transform a word problem into symbols. Errors prevailed despite the students‟ positive view and confidence in mathematics not only because of poor image concepts but because of lack of exposure to certain important mathematical tasks. Further investigation on the other sources of these errors is therefore necessary. (shrink)

In this paper we propose the notion of “subjective reference” as a conceptual tool that explains how and why human-robot sexual interactions could reframe users approach to human-human sexual interactions. First, we introduce the current debate about Sexual Robotics, situated in the wider discussion about Social Robots, stating the urgency of a regulative framework. We underline the importance of a social-relational approach, mostly concerned about Social Robots impact in human social structures. Then, we point out the absence of a precise (...) framework conceptualizing why Social Robots, and Sexual Robots in particular, may modify users’ sociality and relationality. Within a psychological framework, we propose to consider Sexual Robots as “subjective references”, namely objects symbolically referring to human subjects: we claim that, for the user experience, every action performed upon a Sexual Robot is symbolically directed toward a human subject, including degrading and violent practices. This shifting mechanism may transfer the user relational setting from human-robot interactions to human-human interactions. (shrink)

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated (...) by a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

Focusing on sin as a historical-cultural and socio-religious construction in a process that encompasses its mythical-religious aspects, the article points out that the concept that expresses its notion is rooted in the borders involving human failure to correspond to the paradigmatic framework and its system of taboos, laws and moral codes. Thus, converging on the etymological-literary and biblical-religious aspects of sin, the article emphasizes that, by ending the meaning of missing the mark, the translation of the aforementioned term as “sin” (...) corresponds to the textual transposition established by the Septuagintversion in a movement of abstraction from the notion of moral guilt. Based on Ricoeur's reading of the philosophical-theological aspects of sin, the article that points out that sin is not a term capable of exhausting the meaning of reality that it implies as a symbol of the rupture between essence and existence, converging to its characterization as a symbol of eviland “mythical grandeur” through a construction that marks sin as an intersection involving evil and the world and attributes its emergence tothe act and determines its identification as a product and simultaneously a cause. Thus, focusing on the biblical-theological aspects of sin in Tillich and on the construction of the concept as an alienation between “non-faith” and “non-love”, the articleemphasizes the irreducible character of the conception that, according to the Apostle Paul, encloses the condition of an almost personal powerthat controls this world, which implies the superposition of a state of affairs characterized by objectivity and the configuration of the event now designated as a rupture involving essence and existence in a movement that may represent the human separation from the “Being-in-itself” and expressing the element of personal responsibility imbricated in its existential dynamics. (shrink)

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)

This article informally presents a solution to the paradoxes of truth and shows how the solution solves classical paradoxes (such as the original Liar) as well as the paradoxes that were invented as counterarguments for various proposed solutions (“the revenge of the Liar”). This solution complements the classical procedure of determining the truth values of sentences by its own failure and, when the procedure fails, through an appropriate semantic shift allows us to express the failure in a classical two-valued language. (...) Formally speaking, the solution is a language with one meaning of symbols and two valuations of the truth values of sentences. The primary valuation is a classical valuation that is partial in the presence of the truth predicate. It enables us to determine the classical truth value of a sentence or leads to the failure of that determination. The language with the primary valuation is precisely the largest intrinsic fixed point of the strong Kleene three-valued semantics (LIFPSK3). The semantic shift that allows us to express the failure of the primary valuation is precisely the classical closure of LIFPSK3: it extends LIFPSK3 to a classical language in parts where LIFPSK3 is undetermined. Thus, this article provides an argumentation, which has not been present in contemporary debates so far, for the choice of LIFPSK3 and its classical closure as the right model for the truth predicate. In the end, an erroneous critique of Kripke-Feferman axiomatic theory of truth, which is present in contemporary literature, is pointed out. (shrink)