The present article focuses on the conceptual structures of two Arabic words which are used in both everyday life and science: كَهْرَبَاء (kahrabāʾ) (electricity) and ضَوْء (ḍawʾ) (light). Under a cognitive linguistics approach, the polysemy of these terms, revealed in the citations extracted from ArabiCorpus, is studied. More specifically, the analysis of the terms involves the polysemy or ‘radial category’ along with its prototypical and peripheral meanings, and the main factors in projecting the idealised cognitive models (...) (ICMs) where the radial categories are formed: conceptual metaphor and conceptual metonymy. The results indicate that power and knowledge motivate the conceptualisations that underpin the categories كَهْرَبَاء (kahrabāʾ) (electricity) and ضَوْء (ḍawʾ) (light) respectively. Using such non-scientific conception in understanding the scientific senses of these terms leads to students’ confusion and failure to understand them. To ensure that students construe the scientific concepts correctly, they must be mindful of the inconsistency between their non-scientific and scientific meanings. (shrink)

Studies on difficulties in understanding scientific terms have shown that the problem is more serious among non-Western learners. The main reasons for this are the learners' pre-existing knowledge of scientific terms, their native language incommensurability with Western languages, and the polysemy of the words used to denote scientific concepts. The current study is an analysis of the conceptualisation of scientific concepts in two culturally different languages, i.e. Arabic and French, which represent a non-Western language and a Western language respectively. Physics (...) concepts which are considered as some of the most challenging concepts for non-Western languages (Loo 2005; Aranador 2005) were selected for analysis. To this end, the terms that refer to two physics concepts, "weight" and "mass" in Arabic وَزْن (wazn) and كُتْلَة (kutla) and in French poids and masse were semantically analysed. The analysis of the concepts in both languages is informed by the prototype theory by Rosch (1973; 1975), idealised cognitive models (ICMs) by Lakoff (1987), and conceptual metaphor and conceptual metonymy by Lakoff and Johnson (2003). The data for analysis were retrieved from two comparable Arabic and French corpora, namely the ArabiCorpus and the Concordancier-Corpus Français. The results suggest that there are both similarities and differences between the Arabic and French concepts in terms of meanings, prototypes, and metaphorical as well as metonymic semantic extensions. These findings support the argument that the human conceptual system is related to our environmental and cultural experiences and also importantly, validate previous claims on the need for educators to be cognizant of the culturally relevant meanings of scientific words found in everyday language that may impede learners' understanding of scientific concepts. (shrink)

This book offers substantial insight into students’ conceptualization of scientific terminology. The current book explores the commonalities and distinctions between Arabic and French physics terms, and the impact of the language disparities on students’ understanding of physics terms. This book adopts a novel approach to the problem of scientific terminology by exploring physics terms’ polysemy, prototypical meanings, and conceptual metaphor and metonymy, which motivates their extension of meaning. The book also investigates how the linguistic discrepancies and other variables (...) affect the learning of physics by Arab students (Moroccan students, in this book). Concepts in Physics: A Comparative Cognitive Analysis of Arabic and French Terminologies, whether you are a student of science, a science teacher or lecturer, a translator, or a linguist, is what you need. The book will help you comprehend the linguistic and cultural differences between western and non-western physics terminologies (in this book, French and Arabic physics terminologies) and the factors influencing the learning of physics concepts, and thus address the multiple challenges in learning scientific terms and concepts. (shrink)

For various historical, political as well as economic reasons, the English language is favoured as the universal language of science over other languages including French and German (Tardy, 2004). This naturally entails that students who are conversant in English have an advantage over those who are not in the acquisition of scientific knowledge. In relation to this, research on the misunderstanding of scientific terms in different languages shows that students who are speakers of non-western languages in particular face difficulties in (...) conceptualising scientific concepts. There is evidence to suggest that these students’ pre-existing knowledge about scientific terms and the polysemous nature of such terms are factors that influence their conceptualisation of the terms. This finding is the motivation behind the present cognitive linguistic study of the term temperature and its equivalent in Arabic, the compound دَرَجَةُ الحَرَارَة (darajatu al-ḥarara). Using a cognitive framework, namely Lakoff’s Idealised Cognitive Models (ICMs), the study analyses the conceptual similarities as well as differences between the terms. The study also analyses the English term heat as the second free morpheme of the compound دَرَجَةُ الحَرَارَة is الحَرَارَة which is the Arabic rendering of heat. The meanings and different uses of the terms are examined to analyse the ICMs that are evoked in each language. The results of the analysis reveal that the ICMs of English and Arabic terms under study overlap, and interestingly, also differ. (shrink)

The present paper aims to broaden the current understanding of students’ misconception of scientific terminology by identifying the gaps between Arabic and English scientific terminologies and between everyday language and scientific language. The paper compares the polysemy, prototypes, and motivating factors of English energy with those of Arabic طَاقَة (ṭāqa), with more focus on students’ prior knowledge. The study employs Lakoff’s (1987) idealized cognitive models and Rosch’s (1975) prototype theory to reveal the radial members of both categories, i.e., energy (...) and طَاقَة (ṭāqa), and to explain the kinds of cognitive mechanisms that motivate the extension as well as understanding of the meanings of these terms. To this end, the study uses several English and Arabic dictionaries, lexical databases and corpora. This is to explore all the meanings, prototypes and motivating factors of the terms under investigation. The results show that the terms energy and طَاقَة (ṭāqa) overlap in prototypical meanings and motivating factors but differ in less prototypical and peripheral meanings. English and Arabic learners may then face similar issues in learning scientific concepts due to the difference between their pre-existing knowledge and scientific language. (shrink)

The current paper expands on previous work done on the influence of learners’ language and preexisting knowledge on understanding physics terminology by exploring the concept of ACCELERATION in Arabic and English. The study attempts to answer two questions: (1) what are the similarities and differences between the polysemy of Arabic تَسَارُع (tasāruʿ) (acceleration) and the polysemy of English acceleration, and (2) to what extent do prototypes and factors motivating the conceptualization of تَسَارُع (tasāruʿ) and the conceptualization of acceleration converge or (...) diverge? To this end, Arabic and English dictionaries and corpora, the ArabiCorpus (Arabic Corpus Search Tool) and the British National Corpus (BNC), were employed. The dictionaries were surveyed to explore the various meanings of تَسَارُع (tasāruʿ) and acceleration, while the ArabiCorpus and the BNC were employed to investigate the senses and to identify the most frequent collocates and so the prototypes of these terms. The meaning extension of the terms is examined on the basis of the cognitive mechanisms which appear in the corpora. Theoretically, the paper is informed by the prototype theory (Rosch, 1973; 1975), image schemas (Johnson, 1987), and conceptual metaphor (Lakoff & Johnson, 1980/2003). The results show that تَسَارُع (tasāruʿ) (acceleration) and acceleration generally overlap in terms of polysemy, prototype, and images schemas as well as conceptual metaphor that organize the conceptualization of these terms. It was also found that both Arab and English speakers mix ACCELERATION up with SPEED and so misunderstand them in a scientific setting. The present findings have several implications for science curriculum design, education, and research on universal and culture-specific properties of language. (shrink)

This study explores the polysemy of the word “bitter” in English and ku in Chinese. It examines the similarities and differences between their semantics and identifies the cognitive mechanisms that motivate their semantic expansion. The study attempts to answer two questions: (1) What are the similarities and differences between Chinese ku and English “bitter” in terms of meaning? (2) What cognitive mechanisms motivate meaning extensions of these two words? To this end, 汉语大词典 (Chinese Dictionary), 英汉大词典 (English-Chinese Dictionary), the (...) British National Corpus (BNC) and BLCU Corpus Center (BCC) were employed. The two dictionaries were utilised to investigate the multiple meanings of the two terms, while the BNC and the BCC were employed to identify metaphors and metonymies in sentences. Theoretically, the study is informed by Lakoff and Johnson’s conceptual metaphor and conceptual metonymy. The results showed that half of the meanings of “bitter” and ku overlapped, but there were still some differences. Their semantic expansion is motivated by both conceptual metonymy and conceptual metaphor. In addition, the words under investigation differ in the emotions expressed. English “bitter” is more negative, while Chinese ku is more positive. The present findings have important implications for education and cross-cultural communication in language. (shrink)

Despite the wide range of studies on how students’ past knowledge influences their understanding of scientific terminology, few studies were conducted to compare non-scientific language with scientific language, or rather everyday language with scientific language, from a cognitive linguistic perspective. The present paper aims to determine the cognitive mechanisms, i.e., image schemas, conceptual metaphor, and conceptual metonymy, which underpin the conceptualisation of the Arabic term سرعة (speed), using a conceptual metaphor theory framework. Thus, (...) the research question guiding this study is: What cognitive mechanisms underlie the concept of سرعة (speed) in Arabic? The findings of this study will shed light on how Arab speakers conceptualise this term, demonstrating their background knowledge of the term compared to its scientific meaning. The article adds to the growing body of cognitive linguistics research on the conceptual processes behind physics terms. The data was collected from the Arabic Web Corpus (arTenTen) using the Sketch Engine. The findings demonstrated that VERTICATLITY and SCALE schemas are the most dominant image schemas that anchor the conceptual meaning in Arab speakers’ perceptions of the term under investigation and the discourse in which it is employed, as well as offer the concrete basis for conceptual metaphors. The conceptual metaphor CHANGE IS MOTION (LOCATION) was also shown to be active in motivating the conception of SPEED in Arabic. (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)

Exocentric compounding is a creative morphological process that contributes to the English lexicon. However, because it lacks a syntactic or semantic head, it was deemed an exceptional case in most word-formation literature and hence neglected. Previous work has only been limited to syntax-based grammar and the notion of headedness and thus failed to address the other linguistic rules that constrain exocentric compounds. The current paper aims to identify the frequency of exocentric compounds and thus to determine their viability. The research (...) will also look into how conceptual metaphor and/or conceptual metonymy motivate exocentric compound formation. The results demonstrate that exocentric compounds are viable lexical units, generating content words (e.g., adjectives and adverbs) through productive word-formation processes, and extending word senses. The results also suggest that conceptual metonymy is more active than conceptual metaphor in the formation of exocentric compounds. The present findings have several implications for research on exocentric compounds, conceptual metonymy and conceptual metaphor. (shrink)

Reclamation of a slur involves the creation of a new, positively-valenced meaning that gradually replaces the old pejorative meaning. This means that at a critical stage, the slur is ambiguous. It has been claimed that this ambiguity is polysemy. However, it is far from clear whether the view can explain why the introduction of the new meaning forces the old one out of existence. I argue that this datapoint can be explained by invoking the mechanism of homonymic conflict, and, therefore, (...) that the ambiguity involved in reclamation is homonymy. One generalization that follows from my account is that conventionalized verbal irony, unlike conventionalized metonymy and metaphor, begets homonymy. Along the way, I criticize the standard ways of drawing the distinction between polysemy and homonymy in terms of semantic and etymological relatedness. If the notions of polysemy and homonymy are to be invoked in explanations, they should be understood in terms of how meanings are stored in the mental lexicon. My account also provides an elegant way of conceptualizing the difference between two types of conceptual engineering, namely reclamation and amelioration. (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)

The American philosopher of science Kuhn, in the 1980s, studied the scientific revolution in depth from a unique perspective of the philosophy of language, seeing it as a change in the language of science, especially in scientific vocabularies or dictionaries. In this process of transformation, metaphors, analogies, and models play the role of midwives in the birth of new concepts. Based on the analysis of Kuhn's relevant insights, this paper identifies the nature and use of metaphor, analogy and model (...) as well as the similarities and differences among them, arguing that analogy and model are special cases of metaphor and can be fully encompassed within the category of metaphor. Finally, the ontological, epistemological, methodological, linguistic, and linguistic philosophical perspectives are explored as to why metaphor is indispensable in scientific cognition and scientific revolution. (shrink)

In this article we present an advanced version of Dual-PECCS, a cognitively-inspired knowledge representation and reasoning system aimed at extending the capabilities of artificial systems in conceptual categorization tasks. It combines different sorts of common-sense categorization (prototypical and exemplars-based categorization) with standard monotonic categorization procedures. These different types of inferential procedures are reconciled according to the tenets coming from the dual process theory of reasoning. On the other hand, from a representational perspective, the system relies on the hypothesis of (...) conceptual structures represented as heterogeneous proxytypes. Dual-PECCS has been experimentally assessed in a task of conceptual categorization where a target concept illustrated by a simple common-sense linguistic description had to be identified by resorting to a mix of categorization strategies, and its output has been compared to human responses. The obtained results suggest that our approach can be beneficial to improve the representational and reasoning conceptual capabilities of standard cognitive artificial systems, and –in addition– that it may be plausibly applied to different general computational models of cognition. The current version of the system, in fact, extends our previous work, in that Dual-PECCS is now integrated and tested into two cognitive architectures, ACT-R and CLARION, implementing different assumptions on the underlying invariant structures governing human cognition. Such integration allowed us to extend our previous evaluation. (shrink)

We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of the combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC + TR, whose semantics is based on the notion of rational closure, as well as on the distributed semantics of probabilistic Description Logics, and is equipped with a cognitive heuristic used by humans for concept composition. We first extend the logic of typicality ALC + TR by typicality inclusions of (...) the form p :: T(C) v D, whose intuitive meaning is that “we believe with degree p about the fact that typical Cs are Ds”. As in the distributed semantics, we define different scenarios containing only some typicality inclusions, each one having a suitable probability. We then exploit such scenarios in order to ascribe typical properties to a concept C obtained as the combination of two prototypical concepts. We also show that reasoning in the proposed Description Logic is EXPTIME-complete as for the underlying standard Description Logic ALC. (shrink)

The purpose of this paper is to contextualize the study of metaphors within constructivist-informed research, in the hope that this process will orient cognitive scientists to the usefulness of implementing qualitative research methodologies, especially to using the person of the researcher as the primary research instrument. First, I explore some of the differences between Johnson and Lakoff’s Contemporary Metaphor Theory (CMT) and approaches evolving from it on one hand, and the clinical approach to metaphor based on a (...) constructivist therapy model, on the other. CMT has been one of the most significant forces that helped shift cognitive science toward an embodied approach to cognition. While it has succeeded to place physical experience back where it belongs in reason and meaning, CMT has, however, also fallen into some positivist traps which lead to problems such as a dualism, a split between the knower and the known, and with that, to a distrust of introspective, first-person accounts. In the process of finding conceptual metaphors — generalizations that govern metaphorical expressions — CMT often deletes the idiosyncratic characteristics and presuppositions implicit in linguistic metaphors; it divorces them from people’s sensory experiences, the “here and now” and the intent of their communications. The constructivist approach to metaphor that I present here accepts as a priori assumptions much of what workers of CMT are out to prove. In particular, it takes the correlation of conceptual metaphors and physical experience, as well as the unity of language and thought as pragmatic givens. Emulating the constructivist therapist’s approach to metaphors, I show how it is possible to deconstruct conceptual metaphors into minute sensory distinctions, using one’s own person as the main tool, for the purpose of helping people change their experiences in desired ways, at will. I illustrate this process by numerous examples from a wide field of applications, including mathematics education and psychotherapy. (shrink)

The paper analyzes the visual aspect of metaphors, offering a new theory of metaphor that characterizes its syntactic structure, material composition and visuality as its essence. It will accordingly present the metaphorical creating or transfiguring, as well as conceiving or understanding, of one thing as a different one, as a visual ability. It is a predication by means of producing non-conventional compositions – i.e., by compositional, or even aesthetic, means. This definition is aimed to apply to the various kinds (...) of metaphors: conceptual, linguistic, visual, and material. It will thus challenge the definition of metaphor as a conceptual or linguistic phenomenon in nature that is based on its semantic mechanism, broad concepts, and cognitive value. Those definitions have been prevalent since the second half of 20th century, under the influence of the philosophy of language, and later of cognitive studies. (shrink)

This paper is devoted to some generalizations of explanatory potential of connectionist approaches to theoretical problems of the philosophy of mind. Are considered both strong, and weaknesses of neural network models. Connectionism has close methodological ties with modern neurosciences and neurophilosophy. And this fact strengthens its positions, in terms of empirical naturalistic approaches. However, at the same time this direction inherits weaknesses of computational approach, and in this case all system of anticomputational critical arguments becomes applicable to the connectionst models (...) of mind. The last developments in the field of deep learning gave rich empirical material for cognitive sciences. Multilayered networks, mathematical models of associative dynamics of learning, self-organizing neuronets and all that allow to explain the principles of human conceptual organizing and after this to emulate these processes in computer systems. At all engineering achievements of this technology there is a traditional criticism from representatives of cognitive psychology who cannot accept a thesis about learning ability of a neuronet on the basis of redistribution of scales. Process of learning of natural intelligence, according to cognitive models, happens due to attraction of knowledge broadcast in a symbolical form (mental representations, concepts) at the expense of the systems of output knowledge expressed in the propositional contents. Some philosophical aspects of «neural metaphor» in modern cognitive sciences create the problem field which demands comprehensive understanding, the first step towards which is taken in this work. (shrink)

We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of combining prototypical concepts, an open problem in the fields of AI and cognitive modelling. Our logic extends the logic of typicality ALC + TR, based on the notion of rational closure, by inclusions p :: T(C) v D (“we have probability p that typical Cs are Ds”), coming from the distributed semantics of probabilistic Description Logics. Additionally, it embeds a set of cognitive heuristics (...) for concept combination. We show that the complexity of reasoning in our logic is EXPTIME-complete as in ALC. (shrink)

Abstract. The aim of this paper is to present a topological method for constructing discretizations (tessellations) of conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. Alexandroff spaces, as they are called today, have many interesting properties that distinguish them from other topological spaces. In particular, they exhibit a 1-1 correspondence between their specialization orders and their topological structures. Recently, a special type of Alexandroff spaces (...) was used by Ian Rumfitt to elucidate the logic of vague concepts in a new way. According to his approach, conceptual spaces such as the color spectrum give rise to classical systems of concepts that have the structure of atomic Boolean algebras. More precisely, concepts are represented as regular open regions of an underlying conceptual space endowed with a topological structure. Something is subsumed under a concept iff it is represented by an element of the conceptual space that is maximally close to the prototypical element p that defines that concept. This topological representation of concepts comes along with a representation of the familiar logical connectives of Aristotelian syllogistics in terms of natural settheoretical operations that characterize regular open interpretations of classical Boolean propositional logic. In the last 20 years, conceptual spaces have become a popular tool of dealing with a variety of problems in the fields of cognitive psychology, artificial intelligence, linguistics and philosophy, mainly due to the work of Peter Gärdenfors and his collaborators. By using prototypes and metrics of similarity spaces, one obtains geometrical discretizations of conceptual spaces by so-called Voronoi tessellations. These tessellations are extensionally equivalent to topological tessellations that can be constructed for Alexandroff spaces. Thereby, Rumfitt’s and Gärdenfors’s constructions turn out to be special cases of an approach that works for a more general class of spaces, namely, for weakly scattered Alexandroff spaces. This class of spaces provides a convenient framework for conceptual spaces as used in epistemology and related disciplines in general. Alexandroff spaces are useful for elucidating problems related to the logic of vague concepts, in particular they offer a solution of the Sorites paradox (Rumfitt). Further, they provide a semantics for the logic of clearness (Bobzien) that overcomes certain problems of the concept of higher2 order vagueness. Moreover, these spaces help find a natural place for classical syllogistics in the framework of conceptual spaces. The crucial role of order theory for Alexandroff spaces can be used to refine the all-or-nothing distinction between prototypical and nonprototypical stimuli in favor of a more fine-grained gradual distinction between more-orless prototypical elements of conceptual spaces. The greater conceptual flexibility of the topological approach helps avoid some inherent inadequacies of the geometrical approach, for instance, the so-called “thickness problem” (Douven et al.) and problems of selecting a unique metric for similarity spaces. Finally, it is shown that only the Alexandroff account can deal with an issue that is gaining more and more importance for the theory of conceptual spaces, namely, the role that digital conceptual spaces play in the area of artificial intelligence, computer science and related disciplines. Keywords: Conceptual Spaces, Polar Spaces, Alexandroff Spaces, Prototypes, Topological Tessellations, Voronoi Tessellations, Digital Topology. (shrink)

Given the fundamental role that concepts play in theories of cognition, philosophers and cognitive scientists have a common interest in concepts. Nonetheless, there is a great deal of controversy regarding what kinds of things concepts are, how they are structured, and how they are acquired. This chapter offers a detailed high-level overview and critical evaluation of the main theories of concepts and their motivations. Taking into account the various challenges that each theory faces, the chapter also presents a novel (...) approach to concepts that is organized around two ideas. The first is a pluralistic view of differing types of conceptual structure. The second is a model that treats concepts as atomic representations that are linked to various types of conceptual structures. (shrink)

Frames, i.e., recursive attribute-value structures, are a general format for the decomposition of lexical concepts. Attributes assign unique values to objects and thus describe functional relations. Concepts can be classified into four groups: sortal, individual, relational and functional concepts. The classification is reflected by different grammatical roles of the corresponding nouns. The paper aims at a cognitively adequate decomposition, particularly, of sortal concepts by means of frames. Using typed feature structures, an explicit formalism for the characterization of cognitive frames (...) is developed. The frame model can be extended to account for typicality effects. Applying the paradigm of object-related neural synchronization, furthermore, a biologically motivated model for the cortical implementation of frames is developed. Cortically distributed synchronization patterns may be regarded as the fingerprints of concepts. (shrink)

In this paper, I argue that computationalism is a progressive research tradition. Its metaphysical assumptions are that nervous systems are computational, and that information processing is necessary for cognition to occur. First, the primary reasons why information processing should explain cognition are reviewed. Then I argue that early formulations of these reasons are outdated. However, by relying on the mechanistic account of physical computation, they can be recast in a compelling way. Next, I contrast two computational models of working memory (...) to show how modeling has progressed over the years. The methodological assumptions of new modeling work are best understood in the mechanistic framework, which is evidenced by the way in which models are empirically validated. Moreover, the methodological and theoretical progress in computational neuroscience vindicates the new mechanistic approach to explanation, which, at the same time, justifies the best practices of computational modeling. Overall, computational modeling is deservedly successful in cognitive science. Its successes are related to deep conceptual connections between cognition and computation. Computationalism is not only here to stay, it becomes stronger every year. (shrink)

Conceptual Metaphor Theory makes some strong claims against so-called Classical Theory which spans the accounts of metaphors from Aristotle to Davidson. Most of these theories, because of their traditional literal-metaphorical distinction, fail to take into account the phenomenon of conceptual metaphor. I argue that the underlying mechanism for explaining metaphor bears some striking resemblances among all of these theories. A mapping between two structures is always expressed. Conceptual Metaphor Theory insists, however, that the (...) literal-metaphorical distinction of Classical Theories is empirically wrong. I claim that this criticism is based rather on terminological decisions than on empirical issues. Conceptual Metaphor Theory focusses primarily on conventional metaphors and struggles to extend its mechanism to novel metaphors, whereas Classical Theories focus on novel metaphors and struggle to extend their mechanisms to conventional metaphors. Since all of these theories study metaphors from the synchronic point of view, they are unable to take into account any semantic change. A diachronic perspective is what we need here, one which would allow us to explain the role of metaphor in semantic change and the development of language in general. (shrink)

This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s recent topological reconstruction (...) of Sainsbury’s theory of prototypically defined concepts is shown to lead to the same class of spaces that characterize Bobzien’s account of columnar vagueness, namely, weakly scattered spaces. Rumfitt calls these spaces polar spaces. They turn out to be closely related to Gärdenfors’ conceptual spaces, which have come to play an ever more important role in cognitive science and related disciplines. Finally, Williamson’s “logic of clarity” is explicated in terms of a generalized topology (“locology”) that can be considered an alternative to standard topology. Arguably, locology has some conceptual advantages over topology with respect to the conceptualization of a boundary and a borderline. Moreover, in Williamson’s logic of clarity, vague concepts with respect to a notion of a locologically inspired notion of a “slim boundary” are (stably) columnar. Thus, Williamson’s logic of clarity also exhibits a certain affinity for columnar vagueness. In sum, a topological perspective is useful for a conceptual elucidation and unification of central aspects of a variety of contemporary accounts of vagueness. (shrink)

Over the past few decades, cognitive science has identified several forms of reasoning that make essential use of conceptual knowledge. Despite significant theoretical and empirical progress, there is still no unified framework for understanding how concepts are used in reasoning. This paper argues that the theory of conceptual spaces is capable of filling this gap. Our strategy is to demonstrate how various inference mechanisms which clearly rely on conceptual information—including similarity, typicality, and diagnosticity-based reasoning—can be modeled (...) using principles derived from conceptual spaces. Our first topic analyzes the role of expectations in inductive reasoning and their relation to the structure of our concepts. We examine the relationship between using generic expressions in natural language and common-sense reasoning as a second topic. We propose that the strength of a generic can be described by distances between properties and prototypes in conceptual spaces. Our third topic is category-based induction. We demonstrate that the theory of conceptual spaces can serve as a comprehensive model for this type of reasoning. The final topic is analogy. We review some proposals in this area, present a taxonomy of analogical relations, and show how to model them in terms of distances in conceptual spaces. We also briefly discuss the implications of the model for reasoning with concepts in artificial systems. (shrink)

This article surveys theories of metaphor in analytic philosophy and cognitive science. In particular, it focuses on contemporary semantic, pragmatic and non-cognitivist theories of linguistic metaphor and on the Conceptual Metaphor Theory advanced by George Lakoff and his school. Special attention is given to the mechanisms that are shared by nearly all these approaches, i.e. mechanisms of interaction and mapping between conceptual domains. Finally, the article discusses several recent attempts to combine these theories of (...) linguistic and conceptual metaphor into a unitary account. (shrink)

Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect of numerosity, the biologically endowed ability to appreciate quantity that humans share with other species. The linguistic model sees numbers as a function of language. The embodied model sees numbers as conceptual metaphors informed by physical experience and expressed in language. Finally, the extended model sees numbers as conceptual outcomes of a cognitive system that includes material forms as constitutive components. If numerical (...) origins are to be found, each perspective must address one or more critical questions that will require working across discipline boundaries. (shrink)

Theoretical debates around the concept of self-deception revolve around identifying the conditions for a behavior to qualify as self-deception. Experiments 1 and 2 revealed that various candidate features—such as intent, belief change, and motive—are treated as sufficient, but non-necessary, conditions according to the lay concept of self-deception. This led us to ask whether there are multiple lay concepts, such that different participants endorse competing theories (the disagreement view), or whether individual participants assign partial weight to various features and consequently waver (...) in cases of middling similarity (the conflict view). In Experiment 3, by-participant regression models uncovered that most participants additively consider multiple characteristics of the prototype of self-deception, while only a minority of participants treat a characteristic (or a combination thereof) as necessary and sufficient. In sum, by disambiguating interpersonal disagreement and intrapersonal conflict in a within-subjects design, the present experiments indicate that the lay concept may primarily exhibit a prototype structure. In closing, we suggest that future research deploying this method may help to explain why experimental research on philosophical concepts often engenders partial support for competing theories. (shrink)

A model of analogical mapping is proposed that uses five principles to generate consistent and conflicting hypotheses regarding assignments of elements of a source domain to analogous elements of a target domain. The principles follow the fine conceptual structure of the domains. The principles are: (1) the principle of proportional analogy; (2) the principle of mereological analogy, (3) the principle of chain reinforcement; (4) the principle of transitive reinforcement; and (5) the principle of mutual inconsistency. A constraint-satisfaction network is (...) used to find the set of assignments that preserves the greatest relational structure of the source. In contrast to the model proposed here, most models of analogical mapping use only the principle of proportional analogy. The use of many principles is shown to be superior in that it permits smoother integration of pragmatic factors and results in a more efficient mapping process. (shrink)

What is the class of possible semiotic systems? What kinds of systems could count as such systems? The human mind is naturally considered the prototypical semiotic system. During years of research in semiotics the class has been broadened to include i.e. living systems like animals, or even plants. It is suggested in the literature on artificial intelligence that artificial agents are typical examples of symbol-processing entities. It also seems that semiotic processes are in fact cognitive processes. In consequence, it (...) is natural to ask the question about the relation between semiotic studies and research on artificial cognitive systems within cognitive science. Consequently, my main question concerns the problem of inclusion or exclusion from the semiotic spectrum at least some artificial systems. I would like to consider some arguments against the possibility of artificial semiotic systems and I will try to repeal them. Then I will present an existing natural-language using agent of the SNePS system and interpret it in terms of Peircean theory of signs. I would like also to show that some properties of semiotic systems in Peircean sense could be also found in a discussed artificial system. Finally, I will have some remarks on the status of semiotics in general. (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)

(Penultimate draft) Embodied Cognition holds that bodily (e.g. sensorimotor) states and processes are directly involved in some higher-level cognitive functions (e.g. reasoning). This challenges traditional views of cognition according to which bodily states and processes are, at most, indirectly involved in higher-level cognition. Although some elements of Embodied Cognition have been integrated into mainstream cognitive science, others still face adamant resistance. In this paper, rather than straightforwardly defend Embodied Cognition against specific objections I will do the following. First, (...) I will present a concise account of embodied conceptual processing and highlight some of its advantages over non-embodied accounts, specifically focusing on the role of metaphors. Second, I will detail the influence of computational metaphors on theories of cognition and evaluation of these theories. Third, I will argue that embodied cognitive mechanisms, specifically those operating through computational metaphors, may drive some of the resistance to Embodied Cognition - and that Embodied Cognition is able to offer a uniquely compelling account of this. Ultimately, this will contribute to an improved understanding of Embodied Cognition, its explanatory power, and how it ought to be evaluated. Additionally, it will shed light on the role of metaphors in shaping philosophical thought and highlight the importance of these influences. (shrink)

This paper proposes to define metaphor as a visual-material structure, the sphere of which is ontological rather than cognitive or conceptual. It argues that the essence of metaphor, as either an aesthetic or a communicative unit or both, resides in the qualitative dimension and appearance, or even materiality, of the metaphorical medium and its form. The paper thus offers a new theory of metaphor, focusing on the medium of metaphor, which composes and transfigures or (...) reconstructs its target anew: a composition that is prior to understanding or conceptualizing the target. In doing so, the paper presents a formalist ontology of metaphors, established via an externalist account of metaphors, as opposed to the prevailing cognitivist-conceptualist account which I characterize as internalist. The various kinds of metaphor – linguistic, poetic, visual or material – are based on their external structure, rather than an internal-conceptual mechanism of understanding, as assumed by a significant segment of the literature. Visual metaphor, therefore, is the paradigmatic kind of metaphor, the analysis of which can be generalized to other kinds of metaphor. Furthermore, the paper tries to overcome the current discrepancy between the formalist character of the metaphorical medium and the dominance of cognitivist and conceptualist theories of metaphor. Challenging these, I claim that if the identity of metaphor is indeed based on its composition, then it is actually based on its aesthetic qualities. That is to say, not only are there autonomous visual or material metaphors, that are not based on linguistic or conceptual ones, but linguistic and conceptual metaphors are based on visuality: they are enabled by the structural possibilities offered by visual media. (shrink)

In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez, I propose one particular conceptual metaphor, the Process → Object Metaphor, as a key element in understanding the development of mathematical thinking.

(1) An introduction to the principles of conceptual modelling, combinatorial heuristics and epistemological history; (2) the examination of a number of perennial epistemological-methodological schemata: conceptual spaces and blending theory; ars inveniendi and ars demonstrandi; the two modes of analysis and synthesis and their relationship to ars inveniendi; taxonomies and typologies as two fundamental epistemic structures; extended cognition, cognitio symbolica and model-based reasoning; (3) Plato’s notions of conceptual spaces, conceptual blending and hypothetical-analogical models (paradeigmata); (4) Ramon Llull’s (...) concept analysis and combinatoric spaces; (5) Gottfried Leibniz’s development of compositional analysis and synthesis as a general modelling method and a paradigm for ars inveniendi; (6) Fritz Zwicky’s revival of the morphological method of analysis and construction, and its subsequent computerised applications. (shrink)

A formal model of metaphor is introduced. It models metaphor, first, as an interaction of “frames” according to the frame semantics, and then, as a wave function in Hilbert space. The practical way for a probability distribution and a corresponding wave function to be assigned to a given metaphor in a given language is considered. A series of formal definitions is deduced from this for: “representation”, “reality”, “language”, “ontology”, etc. All are based on Hilbert space. A few (...) statements about a quantum computer are implied: The sodefined reality is inherent and internal to it. It can report a result only “metaphorically”. It will demolish transmitting the result “literally”, i.e. absolutely exactly. A new and different formal definition of metaphor is introduced as a few entangled wave functions corresponding to different “signs” in different language formally defined as above. The change of frames as the change from the one to the other formal definition of metaphor is interpreted as a formal definition of thought. Four areas of cognition are unified as different but isomorphic interpretations of the mathematical model based on Hilbert space. These are: quantum mechanics, frame semantics, formal semantics by means of quantum computer, and the theory of metaphor in linguistics. (shrink)

Analogical reasoning is often employed in problem-solving and metaphor interpretation. This paper submits that, as a default, analogical reasoning addressing these different tasks employs different mapping strategies: In problem-solving, it employs analogy-maximising strategies (like structure mapping, Gentner & Markman 1997); in metaphor interpretation, analogy-minimising strategies (like ATT-Meta, Barnden 2015). The two strategies interact in analogical reasoning with conceptual metaphors. This interaction leads to predictable fallacies. The paper supports these hypotheses through case-studies on ‘mind’-metaphors from ordinary discourse, and (...) abstract problem-solving in the philosophy of mind, respectively: It shows that (1) default metaphorical interpretations for vision- and space-cognition metaphors can be derived with a variant of the analogy-minimising ATT-Meta approach, (2) philosophically influential introspective conceptions of the mind can be derived with conceptual metaphors only through an analogy-maximising strategy, and (3) the interaction of these strategies leads to hitherto unrecognised fallacies in analogical reasoning with metaphors. This yields a debunking explanation of introspective conceptions. (shrink)

Clarifies the nature of a cognitive approach to human understanding and experience, and forestalls objections that cognitive linguistics is either too intellectualistic and subjectivistic, or too physicalistic in its treatment of understanding and meaning. The objection is addressed that conceptual metaphors are overly conceptual, that they are mentalistic to the detriment of a full-blooded account of the bodily, practical, and social dimensions of meaning and symbolic interaction.

The paper presents the heterogeneous proxytypes hypothesis as a cognitively-inspired computational framework able to reconcile, in both natural and artificial systems, different theories of typicality about conceptual representation and reasoning that have been traditionally seen as incompatible. In particular, through the Dual PECCS system and its evolution, it shows how prototypes, exemplars and theory-theory like conceptual representations can be integrated in a cognitive artificial agent (thus extending its categorization capabilities) and, in addition, can provide useful insights in (...) the context of a computationally grounded science of the mind. (shrink)

This book offers a new definition of metaphor-as an ontological and visual construction, whose roots are external visual forms, and its motivation is our attachment to forms. This definition, which Michalle Gal names “visualist,” challenges the ruling conceptualist theory of metaphors and places a new emphasis on how we experience rather than understand metaphors. In doing so, she responds to the visual turn that is taking place in literature and the media, demanding that the visual become a site of (...) philosophical analysis. This focus on the external visual world allows Gal to employ visual theories to capture the essence of metaphor. She looks beyond conceptual or semantic mechanism, and returns to theories of Arnheim and Gombrich and the current evolution of ideas about the visual or material and embodied cognition. Proposing to see visual metaphors in their basic form, she uses a new externalist terminology of ontology, visuality, composition, affordance, construction, and emergence. Setting out a new theory that takes into account that humans are visual no less than cognitive creatures, Visual Metaphors and Aesthetics lays the foundation for a new vocabulary to talk about metaphors. (shrink)

Recent advances in the cognitive sciences suggest that cognition is grounded in our embodied experience. This article supports this claim by analyzing the way we conceptualize our emotions metaphorically in terms of bodily processes. Our emotions are not merely matters of subjective feeling. Rather, emotions have stable conceptual structures that have emerged from our embodied activity through metaphorical projections, structures that are shared in a culture and can be disclosed by empirical inquiry. This article explores the metaphorical structuring (...) of anxiety in terms of our experience of breathing. The correlation in our experience between mental functioning and bodily functioning, which leads to the emergence of metaphorical understanding, is of special concern. The article elaborates on how features of our experience of inhibited breathing map onto our experience of mental disquietude. The analysis draws primarily from Johnson (1987), Lakoff (1987), Lakoff and Johnson (1980), and Reddy (1979) and borrows insight from James and Perls. (shrink)

The overall goal of the approach developed in this paper is to estimate the likelihood of a given kinetic kill scenario between hostile spacebased adversaries using the mathematical framework of Complex Conceptual Spaces Single Observation. Conceptual spaces are a cognitive model that provide a method for systematically and automatically mimicking human decision making. For accurate decisions to be made, the fusion of both hard and soft data into a single decision framework is required. This presents several challenges (...) to this data fusion framework. The first is the challenge involved in handling multiple complex terminologies, which is addressed by drawing on a set of Space Domain Ontologies. Another challenge is the complex combinatorics involved when considering all possible feature combinations. This can be mitigated by using integer linear programming optimization that is outlined by the Complex Conceptual Spaces Single Observation mathematical model framework. A third challenge is the complicated physics that is involved in a spacecraft collision that must be addressed to obtain a better understanding of threat assessment. Overcoming these various challenges allows for a quantitative ranking for the potential of a kinetic kill collision across multiple spacecraft pairs. In addition to overcoming these challenges this paper will break down threat assessment into four domains and identify a ranking of threat both for each individual domain and for the four domains combined. Simulation results are shown to verify the developed concepts. (shrink)

The paper explicates the stages of the author’s philosophical evolution in the light of Kopnin’s ideas and heritage. Starting from Kopnin’s understanding of dialectical materialism, the author has stated that category transformations of physics has opened from conceptualization of immutability to mutability and then to interaction, evolvement and emergence. He has connected the problem of physical cognition universals with an elaboration of the specific system of tools and methods of identifying, individuating and distinguishing objects from a scientific theory domain. The (...) role of vacuum conception and the idea of existence (actual and potential, observable and nonobservable, virtual and hidden) types were analyzed. In collaboration with S.Crymski heuristic and regulative functions of categories of substance, world as a whole as well as postulates of relativity and absoluteness, and anthropic and self-development principles were singled out. Elaborating Kopnin’s view of scientific theories as a practically effective and relatively true mapping of their domains, the author in collaboration with M. Burgin have originated the unified structure-nominative reconstruction (model) of scientific theory as a knowledge system. According to it, every scientific knowledge system includes hierarchically organized and complex subsystems that partially and separately have been studied by standard, structuralist, operationalist, problem-solving, axiological and other directions of the current philosophy of science. 1) The logico-linguistic subsystem represents and normalizes by means of different, including mathematical, languages and normalizes and logical calculi the knowledge available on objects under study. 2) The model-representing subsystem comprises peculiar to the knowledge system ways of their modeling and understanding. 3) The pragmatic-procedural subsystem contains general and unique to the knowledge system operations, methods, procedures, algorithms and programs. 4) From the viewpoint of the problem-heuristic subsystem, the knowledge system is a unique way of setting and resolving questions, problems, puzzles and tasks of cognition of objects into question. It also includes various heuristics and estimations (truth, consistency, beauty, efficacy, adequacy, heuristicity etc) of components and structures of the knowledge system. 5) The subsystem of links fixes interrelations between above-mentioned components, structures and subsystems of the knowledge system. The structure-nominative reconstruction has been used in the philosophical and comparative case-studies of mathematical, physical, economic, legal, political, pedagogical, social, and sociological theories. It has enlarged the collection of knowledge structures, connected, for instance, with a multitude of theoreticity levels and with an application of numerous mathematical languages. It has deepened the comprehension of relations between the main directions of current philosophy of science. They are interpreted as dealing mainly with isolated subsystems of scientific theory. This reconstruction has disclosed a variety of undetected knowledge structures, associated also, for instance, with principles of symmetry and supersymmetry and with laws of various levels and degrees. In cooperation with the physicist Olexander Gabovich the modified structure-nominative reconstruction is in the processes of development and justification. Ideas and concepts were also in the center of Kopnin’s cognitive activity. The author has suggested and elaborated the triplet model of concepts. According to it, any scientific concept is a dependent on cognitive situation, dynamical, multifunctional state of scientist’s thinking, and available knowledge system. A concept is modeled as being consisted from three interrelated structures. 1) The concept base characterizes objects falling under a concept as well as their properties and relations. In terms of volume and content the logical modeling reveals partially only the concept base. 2) The concept representing part includes structures and means (names, statements, abstract properties, quantitative values of object properties and relations, mathematical equations and their systems, theoretical models etc.) of object representation in the appropriate knowledge system. 3) The linkage unites a structures and procedures that connect components from the abovementioned structures. The partial cases of the triplet model are logical, information, two-tired, standard, exemplar, prototype, knowledge-dependent and other concept models. It has introduced the triplet classification that comprises several hundreds of concept types. Different kinds of fuzziness are distinguished. Even the most precise and exact concepts are fuzzy in some triplet aspect. The notions of relations between real scientific concepts are essentially extended. For example, the definition and strict analysis of such relations between concepts as formalization, quantification, mathematization, generalization, fuzzification, and various kinds of identity are proposed. The concepts «PLANET» and «ELEMENTARY PARTICLE» and some of their metamorphoses were analyzed in triplet terms. The Kopnin’s methodology and epistemology of cognition was being used for creating conception of the philosophy of law as elaborating of understanding, justification, estimating and criticizing legal system. The basic information on the major directions in current Western philosophy of law (legal realism, feminism, criticism, postmodernism, economical analysis of law etc.) is firstly introduced to the Ukrainian audience. The classification of more than fifty directions in modern legal philosophy is suggested. Some results of historical, linguistic, scientometric and philosophic-legal studies of the present state of Ukrainian academic science are given. (shrink)

The concepts expressed by social role terms such as artist and scientist are unique in that they seem to allow two independent criteria for categorization, one of which is inherently normative. This study presents and tests an account of the content and structure of the normative dimension of these “dual character concepts.” Experiment 1 suggests that the normative dimension of a social role concept represents the commitment to fulfill the idealized basic function associated with the role. Background information can affect (...) which basic function is associated with each social role. However, Experiment 2 indicates that the normative dimension always represents the relevant commitment as an end in itself. We argue that social role concepts represent the commitments to basic functions because that information is crucial to predict the future social roles and role-dependent behavior of others. (shrink)

Discussions in social psychology overlook an important way in which biases can be encoded in conceptual representations. Most accounts of implicit bias focus on ‘mere associations’ between features and representations of social groups. While some have argued that some implicit biases must have a richer conceptual structure, they have said little about what this richer structure might be. To address this lacuna, we build on research in philosophy and cognitive science demonstrating that concepts represent dependency relations between (...) features. These relations, in turn, determine the centrality of a feature f for a concept C: roughly, the more features of C depend on f, the more central f is for C. In this paper, we argue that the dependency networks that link features can encode significant biases. To support this claim, we present a series of studies that show how a particular brilliance-gender bias is encoded in the dependency networks which are part of the concepts of female and male academics. We also argue that biases which are encoded in dependency networks have unique implications for social cognition. (shrink)

This thesis is a sceptical investigation into the notion that the metaphorical wave-particle binary of Virginia Woolf's To the Lighthouse is related to quantum physics. Indeed, the field of literature and science has employed conceptual similarities as the main means of connecting quantum concepts to novels, however, this has led to a host of scholarly difficulties, prompting the need for a re-examination of analogical linkages. Woolf is the model candidate for such a re-examination, given her historical and philosophical proximity (...) with the developments of quantum mechanics. To the Lighthouse, in particular, was written between 1925 and 1927: precisely when quantum physicists were attempting to resolve the wave-particle duality, leading to Niels Bohr's complementarity. This parallel has been noted by researchers as relevant to the novel, as it too displays a general binary that can be read as wave-particle-like, which the author also attempts to resolve along similar philosophical lines. Nevertheless, other than proximity and similarity, there are no reasons to affirm that the science is related to the novel; hence, it is an ideal case study to examine in order to ascertain the value of conceptual similarities in literature and science. To do so, To the Lighthouse's binary and its resolution are interpreted in a thesis-long close reading, in order to compare aspects of it firstly to Woolf's personal thought, and secondly to various non-quantum intellectual contexts that preceded and surrounded her. In doing so, it becomes clear not only that invoking quantum physics serves no clear purpose in better understanding the novel, but also that the notion of resolving wave- particle-like binaries was a widespread philosophical procedure at the turn of the century, decades before Bohr's concept. This negative conclusion interrogates what the scholarly value of interpreting similarities is, though a hypothetical solution can be found in conceptual metaphor theory. (shrink)

In a Star Trek: The Next Generation episode, Cpt. Picard is captured and trapped on a planet with an alien captain who speaks a language incompatible with the universal translator, based on their societal historical metaphors. According to Shapiro (2004), the concept of a universal translator removes everything alien from alien languages, and since the Tamarian language refers only to their historical and cultural archetypes, Picard can only establish dialogue by invoking human analogues, such as Gilgamesh. The purpose of this (...) paper is threefold. First, we will tie such communication to standard cognitive models in cognitive linguistics, pioneered by Lakoff and Johnson (1980) and Lakoff (1987). Second, we will show that metaphorical imaging resembling the Tamarian language is already present in our culture, by analyzing Dawkins's (1982) notion of a meme, who presupposes that memes as cultural living structures physically reside in the brain, and comparing that to a common format of a meme in pop culture. We will also contrast this concept with living natural languages such as Wolaytta, using a great number of proverbs, which can be seen as desemanticized metaphors that are used to embody different domains of the social realm of life (Make et al. 2014). Third, we will compare the notion of such a language with the current state of machine-learning and deep-learning techniques for natural language processing of metaphorical phrases, pinpointing that even deep learning today is powerless without sufficient training datasets (cf. Perifanos et al. 2020) or specific known word contexts and embeddings (Rei et al. 2017), compared to the same situation the universal translator was faced with when dealing with the Tamarian language. (shrink)