This note presents an analysis of Symbolic Knowledge from Leibniz to Husserl, a collection of works from some members of The Southern Cone Group for the Philosophy of Formal Sciences. The volume delineates an outlook of the philosophical treatments presented by Leibniz, Kant, Frege, and the Booleans, as well as by Husserl, of some questions related to the conceptual singularities of symbolic knowledge –whose standard we find in the arts of algebra and arithmetic. The book’s unity (...) of themes and (at least in part) style is examined with the aim of showing the articulation of its parts. (shrink)

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

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 (...) class='Hi'>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)

A summary of issues related to symbolic capital, authorial presences, and intellectual property rights, and the necessity of finding a way out of 500-600 years of capitalist exploitation of the knowledge commons.

(*This paper was awarded the Elisabeth and Werner Leinfellner Award 2017 for outstanding contributions.) -/- This paper provides an explanation of the skeptical puzzle. I argue that we can take two distinct points of view towards representations, mental representations like perceptual experiences and artificial representations like symbols. When focusing on what the representation represents we take an attached point of view. When focusing on the representational character of the representation we take a detached point view. From an attached point of (...) view, we have the intuition that we can know that p simply by using the representation and without having prior knowledge about the reliability of the source that delivers the representation. When taking a detached point of view, we tend to think that we must have this kind of prior knowledge. These two conflicting intuitions about knowledge and representations provide the basis for our intuition of immediate perceptual knowledge on the one hand and for the skeptical intuition of underdetermination on the other hand. (shrink)

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)

We describe and try to motivate our project to build systems using both a knowledge based and a neural network approach. These two approaches are used at different stages in the solution of a problem, instead of using knowledge bases exclusively on some problems, and neural nets exclusively on others. The knowledge base (KB) is defined first in a declarative, symbolic language that is easy to use. It is then compiled into an efficient neural network (NN) (...) representation, run, and the results from run time and (eventually) from learning are decompiled to a symbolic description of the knowledge contained in the network. After inspecting this recovered knowledge, a designer would be able to modify the KB and go through the whole cycle of compiling, running, and decompiling again. The central question with which this project is concerned is, therefore, How do we go from a KB to an NN, and back again? We are investigating this question by building tools consisting of a repertoire of language/translation/network types, and trying them on problems in a variety of domains. (shrink)

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

The Symbolic Scenarios of Islamism initiates a dialogue between the discourse of three of the most discussed figures in the history of the Sunni Islamic movement—Hasan al-Banna, Sayyid Qutb, and Osama bin Laden—and contemporary debates across religion and political theory, providing a crucial foundation upon which to situate current developments in world politics. Redressing the inefficiency of the terms in which the debate on Islam and Islamism is generally conducted, the book examines the role played by tradition, modernity, and (...) transmodernity as major "symbolic scenarios" of Islamist discourses, highlighting the internal complexity and dynamism of Islamism. By uncovering forms of knowledge that have hitherto gone unnoticed or have been marginalised by traditional and dominant approaches to politics, accounting for central political ideas in non-Western sources and in the Global South, the book provides a unique contribution towards rethinking the nature of citizenship, antagonism, space, and frontiers required today. While offering valuable reading for scholars of Islamic studies, religious studies and politics, it provides a critical perspective for academics with an interest in discourse theory, post-colonial theory, political philosophy, and comparative political thought. (shrink)

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

Does geometry constitues a core set of intuitions present in all humans, regarless of their language or schooling ? We used two non verbal tests to probe the conceptual primitives of geometry in the Munduruku, an isolated Amazonian indigene group. Our results provide evidence for geometrical intuitions in the absence of schooling, experience with graphic symbols or maps, or a rich language of geometrical terms.

Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...) Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. Moreover, Cantor envisioned his transfinite set theory (Mengenlehre) as providing the analytical methods and techniques necessary for a comprehensive, organic, non-reductive description of nature, a Naturphilosophie. Thus Cantor’s novel mathematics is presented as part of a long tradition, to which Cusanus, Bruno, Spinoza, Leibniz and others belong, in which the infinity and infinite character of organic life forms is appreciated, and is in some sense a mirror or symbol of the divine. The doctrine of symbolism and their different approach to the laws of logic present in both the work of Cusanus and Cantor enables these thinkers to articulate a transcendental apophatic approach to divinity. (shrink)

Departing from and closing with reflections on issues regarding teaching practices of philosophy of mathematics, I propose a comparison between the main features of the Leibnizian notion of symbolic knowledge and some passages from the Tractatus on arithmetic. I argue that this reading allows (i) to shed a new light on the specificities of the Tractarian definition of number, compared to those of Frege and Russell; (ii) to highlight the understanding of the nature of mathematical knowledge as (...) symbolic or formal knowledge that Wittgenstein mobilizes in his book; (iii) to offer reasons for the claim that Wittgenstein can be considered the philosopher of mathematical practice avant la lettre. The paper ends with an overview, a return to the initial reflection on the connections between research and teaching, and a defense of the reading key used here in terms of its potential for the research in philosophy of mathematics. (shrink)

Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...) Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. This paper considers how the doctrine of symbolism and the philosophers' different commitments to the laws of logic, especially the Law of Non-Contradiction (LNC), enables these thinkers to articulate a transcendental apophatic approach to divinity. (shrink)

If embodied models no longer address the symbol grounding problem and a conceptual system can step in and resolve categorizations when embodied simulations fail, then perhaps the next step in theory-building is to isolate the unique contributions of embodied simulation. What is a disembodied conceptual system incapable of doing with respect to semantic processing or the categorization of smiles?

The Mesopotamian peoples were never really dominated by the reason the way we conceptualize it. It's to the revelation as direct emanation of the divine that they ascribed the appearance of knowledge.

A crucial part of the contemporary interest in logicism in the philosophy of mathematics resides in its idea that arithmetical knowledge may be based on logical knowledge. Here an implementation of this idea is considered that holds that knowledge of arithmetical principles may be based on two things: (i) knowledge of logical principles and (ii) knowledge that the arithmetical principles are representable in the logical principles. The notions of representation considered here are related to theory-based (...) and structure-based notions of representation from contemporary mathematical logic. It is argued that the theory-based versions of such logicism are either too liberal (the plethora problem) or are committed to intuitively incorrect closure conditions (the consistency problem). Structure-based versions must on the other hand respond to a charge of begging the question (the circularity problem) or explain how one may have a knowledge of structure in advance of a knowledge of axioms (the signature problem). This discussion is significant because it gives us a better idea of what a notion of representation must look like if it is to aid in realizing some of the traditional epistemic aims of logicism in the philosophy of mathematics. (shrink)

In sensorimotor integration, representation involves an anticipatory model of the action to be performed. This model integrates efferent signals (motor commands), its reafferent consequences (sensory consequences of an organism’s own motor action), and other afferences (sensory signals) originated by stimuli independent of the action performed. Representation, a form of internal modeling, is invoked to explain the fact that behavior oriented to the achievement of future goals is relatively independent from the immediate environment. Internal modeling explains how a cognitive system achieves (...) its goals despite variations in the environment with insufficient and noisy sensory–perceptual data. In a self that acts intentionally on the environment, knowledge is dependent upon the necessity to guide actions directed toward an aim. The self-inner model, a representation of internal and external environments (including reafferent and afferent messages) and also of the behavior plans and desirable future states (aims) and efferent intentions (motor planning and motor command messages), is intrinsically linked to a thinking capacity, which is supposed to emerge from the binding of multiple influences. Thinking emerges when higher behavior strategies are considered possible and capable of leading to aims or the fulfillment of intentions. In this model, symbolization processes are projective and anticipatory and, in this way, beyond present referents. Symbolization occurs linked to action planning, command, and regulation in mental simulation. Meaning is related to an inner sense of a self that acts over the environment. (shrink)

When the Human Genome Project (HGP) was launched, our genome was presented as our ‘blueprint’, a metaphor reflecting a genetic deterministic epistemology. Eventually, however, the HGP undermined rather than strengthened the understanding of genomes as blueprints and of genes as ultimate causal units. A symbolical turning point was the discovery that the human genome only contains 22,500 genes. Initially, this was seen as a narcissistic offence. Gradually, however, it strengthened the shift from traditional genetics and biotechnology (i.e., gene-oriented approaches) to (...) genomics, i.e. genome-oriented or systems approaches, emphasizing complexity. The 20th century can be regarded as the century of biotechnology and of the gene. Its history demonstrated that the will to know (notably: to know ourselves) has never been a disinterested affair: it is driven by a will to improve (notably: to improve ourselves). In this article it is claimed that, as genomics takes us beyond a genetic deterministic understanding of life, this must have consequences for societal research and debate as well. Policies for self-improvement will increasingly rely on the use of complex interpretation. Therefore, the emphasis must shift from issues such as genetic manipulation and human enhancement to issues involved in governance of novel forms of information. (shrink)

How can we make sense of numerous instances of experts in politics, law enforcement, national security, military defense, fire arms, public health, culture, and history working closely with creators of scripted television series in the USA today? Why do TV makers need them? Why and how do these experts come to Hollywood? In order to answer these questions, I carried out a Bourdieusian field analysis of contemporary American TV series production, with a focus on how knowledge about political and (...) social issues is produced and used in the TV industry. I identify four major expertise providers—the state, social movements, research organizations, and independent experts—and build a macro model of expertise exchange in the field of Hollywood TV. I argue that expertise in Hollywood is a form of capital which Hollywood professionals exchange for symbolic capital within the industry and in the field of power; it is also a form of capital that agents of the state, social movements, and research organizations exchange for symbolic capital in the field of power; and finally, independent experts trade their knowledge to accumulate economic and symbolic capital within the industry. This model is based on the analysis of data I collected during fieldwork in Los Angeles over 10 months in 2017–2019, which includes 159 interviews, 7 observation sessions, and archival materials. (shrink)

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (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)

I will present the rationale followed for the conceptualization and the following development the Dual PECCS system that relies on the cognitively grounded heterogeneous proxytypes representational hypothesis. Such hypothesis allows integrating exemplars and prototype theories of categorization and has provided useful insights in the context of cognitive modelling for what concerns the typicality effects in categorization. As argued in [Chella et al., 2017] [Lieto et al., 2018b] [Lieto et al., 2018a] a pivotal role in this respect is played by the (...) use of the conceptual spaces framework and by its integration with a symbolic knowledge representation layer. (shrink)

I will present the rationale followed for the conceptualization and the following development the Dual PECCS system that relies on the cognitively grounded heterogeneous proxytypes representational hypothesis [Lieto 2014]. Such hypothesis allows integrating exemplars and prototype theories of categorization as well as theory-theory [Lieto 2019] and has provided useful insights in the context of cognitive modelling for what concerns the typicality effects in categorization [Lieto, 2021]. As argued in [Lieto et al., 2018b] a pivotal role in this respect is played (...) by the use of the conceptual spaces framework and by its integration with a symbolic knowledge representation layer. (shrink)

During the Transfiguration, the apostles on Tabor, “indeed saw the same grace of the Spirit which would later dwell in them”. The light of grace “illuminates from outside on those who worthily approached it and sent the illumination to the soul through the sensitive eyes; but today, because it is confounded with us and exists in us, it illuminates the soul from inward ”. The opposition between knowledge, which comes from outside - a human and purely symbolic (...) class='Hi'>knowledge - and “intellectual” knowledge, which comes from within, Meyendorff says what it already exists at Pseudo-Dionysius: “For it is not from without that God stirs them toward the divine. Rather he does so via the intellect and from within and he willingly enlightens them with a ray that is pure and immaterial”. The assertions of the Calabrian philosopher about an “unique knowledge”, common both to the Christians and the Hellenes and pursuing the same goal, the hesychast theologian opposes the reality of the two knowledge, having two distinct purposes and based on two different instruments of perception: “Palamas admitted the authenticity of natural knowledge, however the latter is opposed to the revealed wisdom, that is why it does not provide, by itself, salvation”. Therefore, in the purified human intellect begins to shine of the Trinity light. Purity also depends on the return of the intellect to itself. In this way, we see how the true knowledge of God is an internal meeting or “inner retrieval” of the whole being of man. As well as in the Syrian mystic, on several occasions we have to make the distinction between the contemplative ways of knowledge: intellection illuminated by grace and spiritual vision without any conceptual or symbolic meaning. For example, Robert Beulay shows that, “The term of ‘intellection’ first of all, is employed by John of Dalyatha to be applied to operations caused by grace”. (shrink)

From the text of the dream of a 30-year-old male, having none of the dreamer’s associations nor any other knowledge of the dreamer, we made an interpretation that included four specific, idiosyncratic predictions about the dreamer. Subsequently we obtained information about the dreamer that, because it confirmed our predictions, constituted experimental evidence that our interpretation was accurate. It then became obvious that the dream retold the myth of Saturn who devoured his children. Since myth and dream had the same (...) underlying narrative, our evidence supported the same interpretation for both. We believe this is a new development, the use of a logic-driven experimental system to generate empirical evidence for the symbolic meaning of a myth. Our results support Jung’s assertion that a dream or myth guides the development of personality. We demonstrate that one myth, together with a related dream, is homeostatic for the complex dynamic system that is personality. __________________________________________ For an audio-record of entire class: link is given on 1st page of the text you download from this page. (shrink)

Description Logics (DLs) are a family of well-known terminological knowledge representation formalisms in modern semantics-based systems. This research focuses on analysing how our developed Occurrence Logic (OccL) can conceptually and logically support the development of a description logic. OccL is integrated into the alternative theory of natural language syntax in `Deviational Syntactic Structures' under the label `EFA(X)3' (or the third version of Epi-Formal Analysis in Syntax, EFA(X), which is a radical linguistic theory). From the logical point of view, OccL (...) is a formal logic that mainly deals with the occurrences of symbols as well as with their priorities within linguistic descriptions, i.e. natural language syntax, semantics and phonology. In this article---based on our OccL-based definitions of the concepts of `strong implication' and `occurrence value' as well as of the logical concept `identical occurrence constructor (IDOC)' that is the most fundamental logical concept in our formalism---we will model Occurrence Description Logic ($\mathcal{ODL}$). Accordingly, we will formally-logically analyse `occurrence(s) of symbol(s)' within descriptions of the world in $\mathcal{ODL}$. In addition, we will analyse and assess the logical concepts of `occurrence' and `occurrence priority' in $\mathcal{ODL}$. This research can make a strong logical background for our future research in the development of a Modal Occurrence Description Logic. (shrink)

A computer can come to understand natural language the same way Helen Keller did: by using “syntactic semantics”—a theory of how syntax can suffice for semantics, i.e., how semantics for natural language can be provided by means of computational symbol manipulation. This essay considers real-life approximations of Chinese Rooms, focusing on Helen Keller’s experiences growing up deaf and blind, locked in a sort of Chinese Room yet learning how to communicate with the outside world. Using the SNePS computational knowledge-representation (...) system, the essay analyzes Keller’s belief that learning that “everything has a name” was the key to her success, enabling her to “partition” her mental concepts into mental representations of: words, objects, and the naming relations between them. It next looks at Herbert Terrace’s theory of naming, which is akin to Keller’s, and which only humans are supposed to be capable of. The essay suggests that computers at least, and perhaps non-human primates, are also capable of this kind of naming. (shrink)

During the last decades, many cognitive architectures (CAs) have been realized adopting different assumptions about the organization and the representation of their knowledge level. Some of them (e.g. SOAR [35]) adopt a classical symbolic approach, some (e.g. LEABRA[ 48]) are based on a purely connectionist model, while others (e.g. CLARION [59]) adopt a hybrid approach combining connectionist and symbolic representational levels. Additionally, some attempts (e.g. biSOAR) trying to extend the representational capacities of CAs by integrating diagrammatical representations (...) and reasoning are also available [34]. In this paper we propose a reflection on the role that Conceptual Spaces, a framework developed by Peter G¨ardenfors [24] more than fifteen years ago, can play in the current development of the Knowledge Level in Cognitive Systems and Architectures. In particular, we claim that Conceptual Spaces offer a lingua franca that allows to unify and generalize many aspects of the symbolic, sub-symbolic and diagrammatic approaches (by overcoming some of their typical problems) and to integrate them on a common ground. In doing so we extend and detail some of the arguments explored by G¨ardenfors [23] for defending the need of a conceptual, intermediate, representation level between the symbolic and the sub-symbolic one. In particular we focus on the advantages offered by Conceptual Spaces (w.r.t. symbolic and sub-symbolic approaches) in dealing with the problem of compositionality of representations based on typicality traits. Additionally, we argue that Conceptual Spaces could offer a unifying framework for interpreting many kinds of diagrammatic and analogical representations. As a consequence, their adoption could also favor the integration of diagrammatical representation and reasoning in CAs. (shrink)

Nelson Goodman (1906-2007) approached the arts and other kinds of knowledge as forms of symbolism. His principal aim in philosophy was to advance understanding and remove confusions by verbal analysis and logical constructions. Goodman's philosophical theories encompass nominalism, constructivism and a version of radical relativism. In his Languages of Art, Goodman sets forth distinctions among the various art according to differences in the forms of symbols employed. He contributed as well to arts education and to philosophy of the museum. (...) His performance work, "Hockey Seen: A Nightmare in Three Periods and Sudden Death embodies his aesthetic theories. (shrink)

While this article sets out to advance our knowledge about the characteristics of Nigerian cybercriminals (Yahoo-Boys), it is also the first study to explore the narratives of the Economic and Financial Crimes Commission (EFCC) officers concerning them. It appraises symbolic interactionist insights to consider the ways in which contextual factors and worldview may help to illuminate officers’ narratives of cybercriminals and the interpretations and implications of such accounts. Semi-structured interviews of forty frontline EFCC officers formed the empirical basis (...) of this study and were subjected to a directed approach of qualitative content analysis. While prior studies, for example, indicated that only a group of cybercriminals deploy spiritual and magical powers to defraud victims (i.e. modus operandi), our data analysis extended this classification into more refined levels involving multiple features. In particular, analysis bifurcates cybercriminals and their operations based on three factors: [a] educational-attainment, [b] modus-operandi, and [c] networks-collaborators. Results also suggest that these cybercriminals and their operations are embedded in “masculinity-and-material-wealth”. These contributions thus have implications for a range of generally accepted viewpoints about these cybercriminals previously taken-for-granted. Since these criminals have victims all over the world, insights from our study may help various local and international agencies [a] to understand the actions/features of these two groups of cybercriminals better and develop more effective response strategies. [b] to appreciate the vulnerabilities of their victims better and develop more adequate support schemes. We also consider the limitations of social control agents’ narratives on criminals. (shrink)

In “How Art Teaches: A Lesson from Goodman”, Markus Lammenranta inquires if and how artworks can convey propositional knowledge about the world. Lammenranta argues that the cognitive role of art can be explained by revising Nelson Goodman’s theory of symbols. According to Lammenranta, the problem of Goodman’s theory is that, despite providing an account of art’s symbolic function, it denies art the possibility of mediating propositional knowledge. Lammenranta claims that Goodman’s theory can be augmented by enlarging it (...) with an account of direct reference developed by Bertrand Russell and contemporary philosophy of language. On this basis, an expanded version of Goodman’s theory can explain how artworks can express propositions even without being linguistic, representational, or non-fictive. Lammenranta explicates his theory by explaining how abstract paintings and literary fictions can mediate propositional claims about the actual, everyday world. (shrink)

This book on the topic of ethics and poetry consists of contributions from different continents on the subject of applied ethics related to poetry. It should gather a favourable reception from philosophers, ethicists, theologians and anthropologists from Africa, Asia, Europe and Latin America and allows for a comparison of the healing power of words from various religious, spiritual and philosophical traditions. The first part of this book presents original poems that express ethical emotions and aphorism related to a philosophical questioning (...) of the grounding of our values for life. The poems are written by twelve authors coming from four continents, for whom poetic emotions are sources of artistic inspiration and that can be used for conflict resolution. In the second part, which features short essays, nine authors tackle how poems, symbolic representations, metaphorical narratives and lies impact the space of possibilities, in which we are moved to action, knowledge formation, and how we imagine the world together. (shrink)

The author interprets three stories from recently Neolithic cultures (Melanesian, African Bushman, and Inuit) and a fourth story from an oral tradition of Haitian women. All four are about women and perhaps, judging by their content, composed by women. The author trained with Edward Whitmont and developed his interpretation technique in decades of practice with dreams as a Jungian analyst. He adds a new tool, the use of repetition, in which the same point is made by a series of different (...) details. Repetition provides an internal test for the accuracy of an interpretation. The author updates Jung’s concept of archetypes to incorporate an understanding of Darwinian evolution (which Jung lacked), new knowledge of the function of genes, and new knowledge of the emergence of complexity in dynamic and adaptive systems. He compares his interpretations of the four stories with other scholars’ interpretations, in particular the extraordinary work of Michael Wessels on African Bushman legends. Though Wessels criticized Jung for imposing his ‘colonial’ theory of universal archetypes, both Jung and Wessels insisted that interpretation requires a dialogue between two agents in which both are subjects, neither being dominated or objectified. In the four stories, the author shows, symbolic consciousness began with women. The anthropologist Chris Knight proposed something similar in 1991 in his controversial book Blood Relations: Menstruation and the Origins of Culture. (shrink)

I explore the critical significance of the phenomenological notion of intuition. I argue that there is no meaning that is originally formal-conceptual. The meanings of concepts function as symbolic approximations to original nonconceptual, intuitive givens. However, the meaning content originally intuitively given in lived experience has a tendency to be lost in pursuit of universalizability and communicability of conceptual content. Over time, conceptual approximations lose their reference to the experience that had given them their meaning in the first place. (...) The loss of an experiential reference makes for a vacuous set of concepts, giving way to ideologies, by which I mean the conscious prejudicial support for a set of ideas without the experiential, intuitive context that is necessary to see the value of those ideas. A critical phenomenology is a critique of ideological views by descriptively recovering the intuitive content whereby concepts can be adequately reevaluated. -/- This main aim of this work is to establish the methodological features of critical phenomenology by responding to the objections made against phenomenology and intuition by Frankfurt School critical theorists. Scheler’s phenomenology is used as a way forward due to his far-reaching critique of reason and emphasis on the phenomenological intuition of value. -/- Chapter 1 considers three Frankfurt School objections of Husserlian phenomenology, as (1) immanentist (Adorno), (2) idealist (Adorno), and (3) normatively empty (Habermas). Each fail to discern the subtle features of nonidentity with respect to Husserl’s notions of apperception and adumbrated phenomena. -/- Chapter 2 shows how Scheler’s original view of the phenomenological attitude makes more explicit Husserl’s subtle dialectical elements. Adequate and inadequate givenness is interpreted with respect to one’s intentional orientation and the moral attitudes carried within the world, influencing the content of the given. -/- Chapter 3 confronts the popular charge of idealism. Reality is a problem for phenomenology only to conscious modes of givenness. But through ecstatic modes of givenness (in resistances) Scheler’s phenomenology achieves an existential ground that is crucial for phenomenology to engage actually existing social structures and factors. -/- Chapter 4 concerns the charge that phenomenology is normatively empty. That Scheler had developed a theory of value is not enough to rebut the charge but his view of value-givenness as an attitude informed by the act of loving, opens an awareness of the values disclosed by that attitude. -/- Chapter 5 shows that Scheler’s sociology of knowledge, in contrast to Karl Mannheim’s interpretation, provides a unified picture of the interdependency of spirit and life needed for the realization of values in the world and society. -/- Chapter 6 suggests a way of framing a phenomenological critique of ideology. Scheler points to the attitudinal factors of loving and hating to disclose systemic devaluation and overvaluation. This awareness arises (1) from noticing how individual valuation reflects social valuation, and (2) by being attuned to how one’s own intuitions contradict prevailing social valuation and thought, thereby opening a space for a critique of those patterns. (shrink)

Enactivism has influentially argued that the traditional intellectualist ‘act-content’ model of intentionality is insufficient both phenomenologically and naturalistically, and minds are built from world-involving bodily habits – thus, knowledge should be regarded as more of a skilled performance than an informational encoding. Radical enactivists have assumed that this insight must entail non-representationalism concerning at least basic minds. But what if it could be shown that representation is itself a form of skilled performance? I sketch the outline of such an (...) account from the perspective of Peirce’s pragmatist semiotics, which theorises signs as habits of associating specific cues with appropriate acts and schemas of ensuing experience. Within this framework, I argue, a naturalistic account of propositional structure can be constructed which transcends the symbolic – and in some instances even the linguistic – sphere, and offers new insights regarding the Information Processing Challenge, and the Hard Problem of Content. (shrink)

This paper is about knowledge construction in music listening. It argues for an experiential approach to music cognition, stressing the dynamic-vectorial field of meaning rather than the symbolic field. Starting from the conceptual framework of deixis and indexical devices, it elaborates on the concept of pointing as a heuristic guide for sense-making which allows the listener to conceive of perceptual elements in terms of salience, valence and semantical weight. As such, the act of (mental) pointing can be predicative, (...) either in a nominalistic or processual way, giving a description of the temporal evolution of a situation as against episodic nominalizations that refer to just one single instance of the process. The latter, especially, are characterized by distancing and polarization between the listener and the music, allowing him/her to deal with the music also at a level of mental imagery and to construct a mental or cognitive map of its unfolding. (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)

Combining typical knowledge to generate novel concepts is an important creative trait of human cognition. Dealing with such ability requires, from an AI perspective, the harmonization of two conflicting requirements that are hardly accommodated in symbolic systems: the need of a syntactic compositionality (typical of logical systems) and that one concerning the exhibition of typicality effects (see Frixione and Lieto, 2012). In this work we provide a logical framework able to account for this type of human-like concept combination. (...) We propose a nonmonotonic Description Logic of typicality called TCL (Typicality-based Compositional Logic). (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

Schemes of diagrammatic representation have been so familiarly introduced into logical treatises during the last century or so, that many readers, even of those who have made no professional study of logic, may be supposed to be acquainted with the general nature and object of such devices. Of these schemes one only, viz. that commonly called "Eulerian circles," has met with any general acceptance. A variety of others indeed have been proposed by ingenious and celebrated logicians, several of which would (...) claim notice in a historical treatment of the subject; but they mostly do not seem to me to differ in any essential respect from that of Euler. They rest upon the same leading principle, and are subject all alike to the same restrictions and defects. We must therefore cast about for some new scheme of diagrammatic representation which shall be competent to indicate imperfect knowledge on our part; for this will at once enable us to appeal to it step by step in the process of working out our conclusions. I have never seen any hint at such a scheme, though the want seems so evident that one would suppose that something of the kind must have been proposed before. (shrink)

Brand image constitutes one of the most salient, over-defined, heavily explored and multifariously operationalized conceptual constructs in marketing theory and practice. In this Chapter, definitions of brand image that have been offered by marketing scholars will be critically addressed in the context of a culturally oriented discussion, informed by the semiotic notion of iconicity. This cultural bend, in conjunction with the concept’s semiotic contextualization, are expected both to dispel terminological confusions in the either inter-changeable or fuzzily differentiated employment of such (...) terms as brand image, symbol, icon, as well as to address the function of brand image at a deeper level than a mere construct to be operationalized in quantitative studies of purchase drivers. This shift in focus is coupled with a critical turn from the cogito-centric view of the consuming subject through the cognitivist lens of the AI metaphor as decision-making centre at the origin of largely conscious meaning-making, in favor of a psychoanalytically informed approach that considers figurativity as an essential process whereby brand image is formed. In these terms, brand image will be intimately linked to brand images as figurative multimodal expressive units and rhetorical tropes, as figurative syntax, that are responsible for shaping an idiolectal brand language, as well as to distinctive levels of iconicity as textual condition of possibility of a brand language. In order to understand the role of iconicity as fundamental condition of brand textuality, rather than just a procedure for spawning brand images, the discussion is contextualized in a wider framework involving the culturally situated source of brand images, how they become correlated with brand image concepts and how correlations between brand images and brand image result in brand knowledge structures (Keller 1998). This opening up of the discussion on iconicity is enacted against the background of what I call the Brand Imaginarium which involves: (i) a critical engagement with the dominant cognitivist perspective in branding research that prioritizes individual memory in brand knowledge formation, through a cultural branding lens that involves two additional types of memory, viz. communicative and cultural (ii) a critical engagement with the cognitivist perspective on brand knowledge formation that prioritizes conscious processing of stimuli (as ‘brute facts’, rather than as already semiotized expressive units) in a cognitive mechanism from which the faculty of imagination has been expelled, by restoring the importance of imagination in brand knowledge formation, and, concomitantly, by showing that the highly figurative language of brands may not be researched thoroughly unless imagination is posited anew as processing correlate (iii) the adoption of an expansionist approach to the role of the imaginary in brand knowledge formation, from cognitive (or psychic) faculty, to a more sociologically inclined process of inter-subjective mirroring, and concomitantly as imaginary social significations (Castoriades 1985) that are shared by culturally conditioned and habituated subjects that engage in meaningful cultural practices, rather than individual processing monads. (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)

This study investigated the experiences of Physical Science teachers who were not specialized in their field. Twelve out-of-field Physical Science teachers, selected via purposive sampling from the Schools Division of Baybay City, participated in the transcendental phenomenological study. For data collection and subsequent thematic analysis using Colaizzi's seven steps, in-depth semi-structured interviews were utilized. Five metaphors describe the study's findings in the form of emergent themes. The first theme is the Chameleon teacher described as an adaptable teacher, analogous to a (...) chameleon that alters its coloration to blend into its surroundings. Developing a resilient mindset is the second aspect, symbolized by the Phoenix Within, which signifies the capacity to triumph over challenges. Thirdly, the Symphony of Knowledge symbolizes teachers' and learners' synergistic partnership and active participation throughout the educational journey. The fourth theme, the Gardener of Knowledge, compares an educator to a conscientious gardener who nurtures their development and that of their students. Crossing Unfamiliar Territory is another theme that examines Physical Science teachers' difficulties when instructing outside their field. As a result, the experiences of these teachers mitigate the issue at hand, thus positively impacting the student's academic development. Sustaining resilience in the face of adversity was inexplicably enhanced through implementing fostering strategies and cultivating a positive mindset. Similar to the adverse encounters, they must confront the obstacles posed by their lack of pedagogical expertise, content knowledge, and struggles. The favorable and unfavorable experiences of physical science teachers who did not specialize in their field provided them professional development opportunities. They underscored the value of maintaining a positive outlook. (shrink)

The Zhuangzi begins with Peng, a soaring bird transformed from a bounded fish, which is the first metaphor that points beyond limited standpoints to a higher point of view. The transformation is one-way and symbolizes that there is a higher viewpoint to attain which affords mental freedom and the clarity and scope of great vision. Under the alternate thesis of constant transformation, values and understandings must ceaselessly transform and collapse. All cyclical transformations must collapse into skeptical relativism and confusion. But (...) Peng does not turn back into a fish, and the awakened sage does not fall into a slumber of ignorance and confusion. It is only the thesis of a one-way transformation that leaves the sage in a state of knowledge. (shrink)

The emerging contemporary natural philosophy provides a common ground for the integrative view of the natural, the artificial, and the human-social knowledge and practices. Learning process is central for acquiring, maintaining, and managing knowledge, both theoretical and practical. This paper explores the relationships between the present advances in understanding of learning in the sciences of the artificial, natural sciences, and philosophy. The question is, what at this stage of the development the inspiration from nature, specifically its computational models (...) such as info-computation through morphological computing, can contribute to machine learning and artificial intelligence, and how much on the other hand models and experiments in machine learning and robotics can motivate, justify, and inform research in computational cognitive science, neurosciences, and computing nature. We propose that one contribution can be understanding of the mechanisms of ‘learning to learn’, as a step towards deep learning with symbolic layer of computation/information processing in a framework linking connectionism with symbolism. As all natural systems possessing intelligence are cognitive systems, we describe the evolutionary arguments for the necessity of learning to learn for a system to reach humanlevel intelligence through evolution and development. The paper thus presents a contribution to the epistemology of the contemporary philosophy of nature. (shrink)

The emerging contemporary natural philosophy provides a common ground for the integrative view of the natural, the artificial, and the human-social knowledge and practices. Learning process is central for acquiring, maintaining, and managing knowledge, both theoretical and practical. This paper explores the relationships between the present advances in understanding of learning in the sciences of the artificial (deep learning, robotics), natural sciences (neuroscience, cognitive science, biology), and philosophy (philosophy of computing, philosophy of mind, natural philosophy). The question is, (...) what at this stage of the development the inspiration from nature, specifically its computational models such as info-computation through morphological computing, can contribute to machine learning and artificial intelligence, and how much on the other hand models and experiments in machine learning and robotics can motivate, justify, and inform research in computational cognitive science, neurosciences, and computing nature. We propose that one contribution can be understanding of the mechanisms of ‘learning to learn’, as a step towards deep learning with symbolic layer of computation/information processing in a framework linking connectionism with symbolism. As all natural systems possessing intelligence are cognitive systems, we describe the evolutionary arguments for the necessity of learning to learn for a system to reach human-level intelligence through evolution and development. The paper thus presents a contribution to the epistemology of the contemporary philosophy of nature. (shrink)

Μοναδική μελέτη και προσέγγιση της θεωρίας της γνώσης, για την παγκόσμια βιβλιογραφία, της διαλεκτικής πορείας της σκέψης από την λογική πλευρά της και της μελλοντικής μορφής που θα πάρουν οι διαλεκτικές δομές της, στην αδιαίρετη ενότητα γνωσιοθεωρίας, λογικής και διαλεκτικής, με την «μέθοδο του διαλεκτικού υλισμού». Έργο βαρύ με θέμα εξαιρετικά δύσκολο διακατέχεται από πρωτοτυπία και ζωντάνια που γοητεύει τον κάθε ανήσυχο στοχαστή από τις πρώτες γραμμές. Unique study and approach of the theory of knowledge, the world literature, the (...) dialectic course of thought from the logical side and the future form of its dialectical structures, the indivisible unity of knowledge, logic and dialectics, with the "method of dialectical materialism ". A heavy work on an extremely difficult subject is possessed by originality and liveliness that captivates every restless thinker from the first lines..."Εδώ ακριβώς, όπως έχουμε ξαναπεί, βρίσκεται το πρόβλημα. Η διαλεκτική λογική είναι ήδη το ξεπέρασμα της τυπικής λογικής σαν όργανο για τη σύλληψη της πραγματικότητας. Εμείς όμως θέλουμε να την κάνουμε να έχει «ακρίβεια» στα συμπεράσματά της. Και τότε αντιμετωπίζουμε το πρόβλημα που έχει επισημάνει ο Lenine, πως δηλαδή: όχι το αυτονόητο γεγονός της «κίνησης» του κόσμου, αλλά το «πως» να εκφράσουμε την κίνηση αυτή με τις έννοιες, με τις κρίσεις και τους συλλογισμούς και προχωρώντας πιο πέρα, με τη δυνατότητα που προσφέρεται, ύστερα από το Hegel, από τη φορμαλοποίηση κα αξιωματικοποίηση της τυπικής λογικής, να τις εκφράσουμε «συντακτικά» διατυπώνοντας την μεταβολή. Κι αυτός είναι ο «κόμπος» που πρέπει να λυθεί: όχι μονάχα πάνω στη σημαντική περιοχή, αλλά και στη συντακτική. Γιατί οι έννοιες, οι κρίσεις κι οι συλλογισμοί, αφού ήδη εκφράζονται από την τυπική λογική με σύμβολα ικανά να μας δώσουν, με το συνδυασμό τους μονάχα, καινούρια συμπεράσματα, αλλά ταυτόχρονα και τον «έλεγχο» (από την άποψη της τυπικής αλήθειας) των συλλογισμών μας, το κάνουν αυτό πάνω σε προτάσεις που εκφράζουν την ακινησία και τη σταθερότητα. Εδώ, το «μόνο» που χρειάζεται είναι να δώσουμε κίνηση και ζωή στο σύστημα της τυπικο-στατικής λογικής, έτσι που οι προτάσεις της με το συμβολισμό τους να αναφέρονται και στις διαδοχικά επόμενες μέσα στο χρόνο τιμές αλήθειας. Οι προτάσεις, με ενδιάμεσο τη σκέψη πάντοτε, αφού στέκονται όχι μονάχα απέναντι σε μια ακίνητη στιγμή της ροής του κόσμου, αλλά και ταυτόχρονα απέναντι σ' ένα αδιάκοπα μεταβαλλόμενο περιεχόμενο, απέναντι στις αντικειμενικές διακυμάνσεις της πραγματικότητας, θα πρέπει και οι προτάσεις αυτές να πιάνουν ταυτόχρονα: το στατικό και το ρέον. Το στατικό, σα στιγμή ταυτοποίησης και αναγνώρισης των διαδοχικά «μεταβαλλόμενων ακίνητων» στιγμών του περιεχόμενου και το ρέον, σα διαδοχική ολοκλήρωση των στάνταρ-στιγμών του περιεχόμενου των αντικειμενικών προτσές. Μήπως τα μαθηματικά μας βοηθάνε εδώ;....". (shrink)

The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century. The role of Persian/Arabic Algebra in this transition and its Western symbolic development is emphasized. In this relation, we will also discuss changes in the ontological attitudes toward mathematics and its applications. Historically, the encounter of geometric and algebraic perspectives enriched the (...) mathematical practices and their foundations. Yet, the collapse of Euclidean certitudes, of over 2300 years, and the crisis in the mathematical analysis of the 19th century, led to the exclusion of “geometric judgments” from the foundations of Mathematics. After the success and the limits of the logico-formal analysis, it is necessary to broaden our foundational tools and re-examine the interactions with natural sciences. In particular, the way the geometric and algebraic approaches organize knowledge is analyzed as a cross-disciplinary and cross-cultural issue and will be examined in Mathematical Physics and Biology. We finally discuss how the current notions of mathematical (phase) “space” should be revisited for the purposes of life sciences. (shrink)

Review of Joseph Y. Halpern (ed.), Theoretical Aspects of Reasoning About Knowledge: Proceedings of the 1986 Conference (Los Altos, CA: Morgan Kaufmann, 1986),.