It is a received view that Kant’s formal logic (or what he calls “pure general logic”) is thoroughly intensional. On this view, even the notion of logical extension must be understood solely in terms of the concepts that are subordinate to a given concept. I grant that the subordination relation among concepts is an important theme in Kant’s logical doctrine of concepts. But I argue that it is both possible and important to ascribe to Kant an objectual notion (...) of logical extension according to which the extension of a concept is the multitude of objects falling under it. I begin by defending this ascription in response to three reasons that are commonly invoked against it. First, I explain that this ascription is compatible with Kant’s philosophical reflections on the nature and boundary of a formal logic. Second, I show that the objectual notion of extension I ascribe to Kant can be traced back to many of the early modern works of logic with which he was more or less familiar. Third, I argue that such a notion of extension makes perfect sense of a pivotal principle in Kant’s logic, namely the principle that the quantity of a concept’s extension is inversely proportional to that of its intension. In the process, I tease out two important features of the Kantian objectual notion of logical extension in terms of which it markedly differs from the modern one. First, on the modern notion the extension of a concept is the sum of the objects actually falling under it; on the Kantian notion, by contrast, the extension of a concept consists of the multitude of possible objects—not in the metaphysical sense of possibility, though—to which a concept applies in virtue of being a general representation. While the quantity of the former extension is finite, that of the latter is infinite—as is reflected in Kant’s use of a plane-geometrical figure (e.g., circle, square), which is continuum as opposed to discretum, to represent the extension in question. Second, on the modern notion of extension, a concept that signifies exactly one object has a one-member extension; on the Kantian notion, however, such a concept has no extension at all—for a concept is taken to have extension only if it signifies a multitude of things. This feature of logical extension is manifested in Kant’s claim that a singular concept (or a concept in its singular use) can, for lack of extension, be figuratively represented only by a point—as opposed to an extended figure like circle, which is reserved for a general concept (or a concept in its general use). Precisely on account of these two features, the Kantian objectual extension proves vital to Kant’s theory of logical quantification (in universal, particular and singular judgments, respectively) and to his view regarding the formal truth of analytic judgments. (shrink)

This paper aims to reassess a notion in the works of the later Husserl that is both historically important and philosophically insightful, but remains understudied, namely, that of type. In opposition to a standard reading which treats Husserl’s type presentations as pre-conceptual habits, this paper argues that these representations are a specific kind of concept. More precisely, it shows that Husserl’s account of type presentations is akin to the contemporary prototype theory of concepts. This is historically important, since the (...) predecessor of the prototype theory is usually said to be Wittgenstein. From a philosophical standpoint, the paper shows that Husserl has an innovative account of the connection between type concepts and their extension. Contrary to the standard view of extensions as sets and thus sharp entities, Husserl develops a correlationalist theory of concepts, according to which, for the specific characteristics in the structure of a concept, there are corresponding characteristics in the arrangement of its members, and vice versa. According to this theory, while sharp concepts lead to sharp extensions, vague concepts such as (proto)type concepts lead to vague extensions. The paper presents this understanding of Husserl in detail and explains its philosophical significance. (shrink)

In this article, the authors try to answer the following questions: How can an object/instance seen for the first time extend a category or update a concept? How is it possible to determine the reference of a concept that represents a behaviour? In the first case, the authors discuss the learning of inferential linguistic competence used to update a concept through an approach based on prototype theory. In the second case, the authors discuss the learning of referential (...) linguistic competence used to determine the reference of a concept (i.e., determination of an actual behaviour) through an approach based on embodied cognition. The authors show how combining prototype-based and embodied categorization in Wittgenstein’s rule-following praxis (the individual and community dimension), linguistic learning of a concept (inferential competence), and determination of its reference (referential competence) can be traced back to the same model. Keywords Action, Categorization, Embodied Cognition, Embodiment, Linguistic Inferential Competence, Linguistic Referential Competence, Perception, Prototype Theory, Reference, Sign. (shrink)

Radical enactive and embodied approaches to cognitive science oppose the received view in the sciences of the mind in denying that cognition fundamentally involves contentful mental representation. This paper argues that the fate of representationalism in cognitive science matters significantly to how best to understand the extent of cognition. It seeks to establish that any move away from representationalism toward pure, empirical functionalism fails to provide a substantive “mark of the cognitive” and is bereft of other adequate means for individuating (...) cognitive activity. It also argues that giving proper attention to the way the folk use their psychological concepts requires questioning the legitimacy of commonsense functionalism. In place of extended functionalism—empirical or commonsensical—we promote the fortunes of extensive enactivism, clarifying in which ways it is distinct from notions of extended mind and distributed cognition. (shrink)

According to an influential idea in the philosophy of set theory, certain mathematical concepts, such as the notion of a well-order and set, are indefinitely extensible. Following Parsons (1983), this has often been cashed out in modal terms. This paper explores instead an extensional articulation of the idea, formulated in higher-order logic, that flat-footedly formalizes some remarks of Zermelo. The resulting picture is incompatible with the idea that the entire universe can be well-ordered, but entirely consistent with the idea that (...) the sets of any set-theoretic universe can be. (shrink)

The conception that the world can be represented as a system of levels of being can be traced back to the beginnings of European philosophy and has lost little of its plausibility in the meantime. One of the important modern conceptions of levels was developed by Nicolai Hartmann. It exhibits remarkable similarities and contrasts with the classification of the real developed by Werner Heisenberg in his paper Ordnung der Wirklichkeit (Order of Reality). In my contribution I will introduce these two (...) conceptions of levels and compare their salient features. I will discuss them as variants of a scientific worldview that attempts to forge a link to the perspective of the lifeworld. Then I will go on to argue that the shortcomings of these conceptions can be remedied by extending them with the level of the very small and that of the very large. The introduction of these ontologically fundamental levels is based on scientific knowledge that for the most part eludes he intuitively representable character of lifeworld experience. Historical changes in science and the lifeworld could lead to the notion that reality can be represented as a system of levels being challenged in future. (shrink)

The principle of sufficient reason threatens modal collapse. Some have suggested that by appealing to the indefinite extensibility of contingent truth, the threat is neutralized. This paper argues that this is not so. If the indefinite extensibility of contingent truth is developed in an analogous fashion to the most promising models of the indefinite extensibility of the concept set, plausible principles permit the derivation of modal collapse.

"L'énigme majeure est la cause efficace" insiste Jean Largeault (1985). En effet, la physique contemporaine géométrise les phénomènes de la nature en transformant les causes efficientes en causalité formelle. Cependant elle nous invite aussi à accorder le structurel etle physique, le formel et le dynamique. Il convient donc de s'interroger sur le fondement du pouvoir créateur des mathématiques ou de leur caractère générateur en physique. Selon Charles de Koninck, la fécondité des mathématiques parait comme une intériorisation de la figure philosophique (...) de l'ange dans le cadre du projet d'une métamathématique comme angélologie thomiste. La raison poursuit un moyen de connaitre qui serait universel in repraesentando, par opposition à l'universel in praedicando. Cette tendance est essentielle à ce que l'on appelle le "mode platonicien". L'une des idées centrales de cet article consiste à établir une connexion profonde entre la notion de causalité en physique et cette manière platonicienne de connaitre. Plus précisément, l'idéalisation de la causalité efficace en physique mathématique est-il autre chose que ce mode dialectique de connaître abusivement porté à sa limite ? (shrink)

In Kant’s logical texts the reference of the form S is P to an “unknown = x” is well known, but its understanding still remains controversial. Due to the universality of all concepts, the subject as much as the predicate is regarded as predicate of the x, which, in turn, is regarded as the subject of the judgment. In the CPR, this Kantian interpretation of the S-P relationship leads to the question about the relations between intuition and concept in (...) judgment. In contrast to intuition, if no concept, due to its universality, refers immediately to an object, how should one understand the relations of S and P to one another, as well as their relations to intuition, which corresponds to the possible individuality of the object in general = x? To answer this question, it is necessary to understand Kant’s notion of extension, and to prove its irreducibility to the Port-Royal notion of extension as well as to the Fregean one. (shrink)

Thick terms and concepts in ethics somehow combine evaluation and non-evaluative description. The non-evaluative aspects of thick terms and concepts underdetermine their extensions. Many writers argue that this underdetermination point is best explained by supposing that thick terms and concepts are semantically evaluative in some way such that evaluation plays a role in determining their extensions. This paper argues that the extensions of thick terms and concepts are underdetermined by their meanings in toto, irrespective of whether their extensions are partly (...) determined by evaluation; the underdetermination point can therefore be explained without supposing that thick terms and concepts are semantically evaluative. My argument applies general points about semantic gradability and context-sensitivity to the semantics of thick terms and concepts. (shrink)

The purpose of this essay is exegesis. I explicate Nicolas Malebranche's (1674, 1678, 1688, 1714) concept of intelligible extension. I begin by detailing how the concept matured throughout Malebranche's work, and the new functions it took on within his metaphysical system. I then examine Gustav Bergmann's “axiomatic” interpretation, as well as the criticism of it offered by Daise Radner. I argue that Radner's criticism of the interpretation is only partly successful; some of her objections can be met; (...) others cannot. I then develop a novel interpretation of the concept, given insights from this dispute. I call it the “programmatic interpretation.” I argue that this interpretation coheres well with Malebranche's famous Vision in God thesis, as well as many of his other commitments. I conclude by considering a certain pertinent objection to my proposal, summarizing the dialectic, and forcefully restating my case. (shrink)

We investigate epistemic independence for choice functions in a multivariate setting. This work is a continuation of earlier work of one of the authors [23], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [7]. We obtain the independent natural extension in this framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we (...) are aware of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less informative imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [22], which De Bock and De Cooman [1] have called S-independence. We show that neither is more general than the other. (shrink)

Philosophers of medicine have formulated different accounts of the concept of disease. Which concept of disease one assumes has implications for what conditions count as diseases and, by extension, who may be regarded as having a disease and for who may be accorded the social privileges and personal responsibilities associated with being sick. In this article, we consider an ideal diagnostic test for coronavirus disease 2019 infection with respect to four groups of people—positive and asymptomatic; positive and (...) symptomatic; negative; and untested—and show how different concepts of disease impact on the disease and sickness judgements for these groups. The suggestion is that sickness judgements and social measures akin to those experienced during the current COVID-19 outbreak presuppose a concept of disease containing social harm as a component. We indicate the problems that arise when adopting this kind of disease concept beyond a state of emergency. (shrink)

This paper attempts to resolve the puzzle associated with the non-spatiality of monads by investigating the possibility that Leibniz employed a version of the extension of power doctrine, a Scholastic concept that explains the relationship between immaterial and material beings. As will be demonstrated, not only does the extension of power doctrine lead to a better understanding of Leibniz’ reasons for claiming that monads are non-spatial, but it also supports those interpretations of Leibniz’ metaphysics that accepts the (...) real extension of bodies. (shrink)

ABSTRACT. Fodor characterizes concepts as consisting of two dimensions: one is content, which is purely denotational/broad, the other the Mentalese vehicle bearing that content, which Fodor calls the Mode of Presentation (MOP), understood "syntactically." I argue that, so understood, concepts are not interpersonally sharable; so Fodor's own account violates what he calls the Publicity Constraint in his (1998) book. Furthermore, I argue that Fodor's non-semantic, or "syntactic," solution to Frege cases succumbs to the problem of providing interpersonally applicable functional roles (...) for MOPs. This is a serious problem because Fodor himself has argued extensively that if Fregean senses or meanings are understood as functional/conceptual roles, then they can't be public, since, according to Fodor, there are no interpersonally applicable functional roles in the relevant senses. I elaborate on these relevant senses in the paper. (shrink)

I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning (...) of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood. (shrink)

In this chapter I give an account of the epistemology underlying the concept of “extension” in the Mengzi, an early Confucian text written in the fourth century BCE. Mengzi suggests in a conversation with King Xuan of Qi that a solution to the King’s problem of how one comes to act in a kingly manner is that one engages in “extension”. I argue that a long-standing scholarly debate on the exact nature of Mengzian “extension” can be (...) resolved by closely investigating the epistemological assumptions that must be in place for “extension” to be a viable solution to King Xuan’s problem. More specifically, my argument is that knowledge of a certain kind, namely knowing-to, is both necessary and sufficient for extension to take place. In other words, for a person S to extend X, where X is a capacity for action, S at least needs to have knowing-to. (shrink)

A concept is traditionally defined via the necessary and sufficient conditions that clearly determine its extension. By contrast, cognitive views of concepts intend to account for empirical data that show that categorisation under a concept presents typicality effects and a certain degree of indeterminacy. We propose a formal language to compactly represent concepts by leveraging on weighted logical formulas. In this way, we can model the possible synergies among the qualities that are relevant for categorising an object (...) under a concept. We show that our proposal can account for a number of views of concepts such as the prototype theory and the exemplar theory. Moreover, we show how the proposed model can overcome some limitations of cognitive views. (shrink)

Is the Smartphone (SP) an extension of consciousness or just an (other) externalization of the mind and an extension of the social? The concept of externalizing the mind more appropriately describes a series of processes that tend to be considered extensions of the mind. The human mind has evolved concurrently with various externalizations, such as utensils and language, as contributions to the development of the common environment of humanity: culture and civilization. Externalizations indicate the appearance of the (...) human mind while the extensions take into account the possibility of passing to another level (the singularity of consciousness). SP is a handy tool that mediates the personal relationship with the world, benefiting from a level of integration into the global workspace of the mind. Externalization called the SP could be a bridge from the externalization of the mind to its extensions, making the ontological leap from the utensil status to that of "part of the mind". SP is a mediator of an environment: it mediates between the mind and a special social environment called the Internet (mediates access to cognitive support provided by society through the virtual world), which is gradually becoming another reality. SP is part of the extension of human society by introducing tools into the network of personal relationships. Not the mind is expanded, but the social network, increasing the number of entities with which the human can create and maintain relationships. SP may be an extension of the social rather than an extension of the mind because it mediates an increase in the complexity of social relations that can lead to the emergence of "collective minds" (causing a change in the ontological status of society). Changing cognitive demands is a feature of the world's progress. Progress brings along with it cognitive costs of integration, technical solutions like SP, aimed at reducing these costs, generating an evolutionary advantage in the new social context. From an evolutionist perspective, the world means precisely this kind of modification of cognitive demands necessary for survival, SP joining the set of tools that mediate the cognitive progress of the world in which the human is inserted. We propose the use of an evolutionary cognitive economy principle, based on avoiding unnecessary costs, reducing losses and optimizing cognitive gains. (shrink)

It is often assumed that concepts from the formal sciences, such as mathematics and logic, have to be treated differently from concepts from non-formal sciences. This is especially relevant in cases of concept defectiveness, as in the empirical sciences defectiveness is an essential component of lager disruptive or transformative processes such as concept change or concept fragmentation. However, it is still unclear what role defectiveness plays for concepts in the formal sciences. On the one hand, a common (...) view sees formal concepts to be protected against defects because of their precise and stable nature. On the other, studies going back as far as Lakatos (1963) showcase the changeability of such concepts. -/- In this paper, I will investigate if and how defectiveness based on the occurrence of inconsistencies can appear with formal concepts. To make the case as strong as possible, I employ a strict notion of formal concept that assumes the concept to have a fixed and definite extension. I will show that there are indeed certain types of defectiveness that cannot occur with such concepts; but that there are other types of defectiveness that do occur. This means that while formal concepts have to be treated differently than non-formal concepts, questions about defectiveness---as raised in the conceptual engineering debate and philosophy of science---can still be applied to them. I will highlight this point by showing how formal sciences have special strategies available to them that allow them to resolve defectiveness of their concepts in a flexible and informative manner. (shrink)

The conception of truth-making, albeit in a rudimentary form, could already be discerned in the writings of G. E. Moore and E. Husserl in the early 1900s. A few years later it was more extensively exploited by William James. It was Wittgenstein, however, who gave the concept a precise meaning. In 1913/1914 Wittgenstein advanced a theory of possible worlds, only one of which was real. Every proposition suggests a part of a possible world which does or does not correspond (...) to parts of the real world. In the first case the proposition is true, in the second case false. Moreover, the part of the real world makes the sentence true. This part is a truth-maker, and the sentence is a truth-bearer. Surprisingly enough, Wittgenstein’s concept of truth-making had its family resemblance with William James’s conception of truth. In 1915 Wittgenstein stopped using the concept of truth-making—it was also not men-tioned in the Tractatus. Unfortunately, Russell did not notice this and in 1918 he adopted the concept of truth-making. In the 1930s, it was used by some second generation analytic philosophers (Schlick, Stebbing, and Wisdom). However, it became rather popular among analytic philosophers only in the 1980s. (shrink)

Reichenbach’s early solution to the scientific problem of how abstract mathematical representations can successfully express real phenomena is rooted in his view of coordination. In this paper, I claim that a Reichenbach-inspired, ‘layered’ view of coordination provides us with an effective tool to systematically analyse some epistemic and conceptual intricacies resulting from a widespread theorising strategy in evolutionary biology, recently discussed by Okasha (2018) as ‘endogenization’. First, I argue that endogenization is a form of extension of natural selection theory (...) that comprises three stages: quasi-axiomatisation, functional extension, and semantic extension. Then, I argue that the functional extension of one core principle of natural selection theory, namely, the principle of heritability, requires the semantic extension of the concept of inheritance. This is because the semantic extension of ‘inheritance’ is necessary to establish a novel form of coordination between the principle of heritability and the extended domain of phenomena that it is supposed to represent. Finally, I suggest that – despite the current lack of consensus on the right semantic extension of ‘inheritance’ – we can fruitfully understand the reconceptualization of ‘inheritance’ provided by niche construction theorists as the result of a novel form of coordination. (shrink)

Jerry Fodor has argued that concept acquisition cannot be a psychological or “rational-causal” process, but can only be a “brute-causal” process of acquisition. This position generates the “doorknob  DOORKNOB” problem: why are concepts typically acquired on the basis of experience with items in their extensions? I argue that Fodor’s taxonomy of causal processes needs supplementation, and characterize a third type: what I call “intelligible-causal processes.” Armed with this new category I present what I regard as a better response (...) than Fodor’s to the doorknob  DOORKNOB problem. (shrink)

This chapter defends a pluralist understanding of species on which a normative species concept is viable and can support natural goodness evaluations. The central question here is thus: Since organisms are to be evaluated as members of their species, how does a proper understanding of species affect the feasibility of natural goodness evaluations? Philippa Foot has argued for a form of natural goodness evaluation in which living things are evaluated by how well fitted they are for flourishing as members (...) of their species, in ways characteristic of their species. She has further argued that assessments of moral goodness in humans are of the same evaluative form. However, natural goodness evaluations and, by extension, the natural goodness approach, do not garner justification in virtue of employing a scientifically privileged conception of species. The natural goodness approach is only justified given particular metaethical and normative commitments that are independent of naturalism, since the approach does not depend upon naturalism alone. (shrink)

In this chapter I give an account of the epistemology underlying the concept of “extension” in the Mengzi, an early Confucian text written in the fourth century BCE. Mengzi suggests in a conversation with King Xuan of Qi that a solution to the King’s problem of how one comes to act in a kingly manner is that one engages in “extension”. I argue that a long-standing scholarly debate on the exact nature of Mengzian “extension” can be (...) resolved by closely investigating the epistemological assumptions that must be in place for “extension” to be a viable solution to King Xuan’s problem. More specifically, my argument is that knowledge of a certain kind, namely knowing-to, is both necessary and sufficient for extension to take place. In other words, for a person S to extend X, where X is a capacity for action, S at least needs to have knowing-to. (shrink)

In Humanity’s End: Why We Should Reject Radical Enhancement, Nicholas Agar presents a novel argument against the prospect of radical life-extension. Agar’s argument hinges on the claim that extended lifespans will result in people’s lives being dominated by the fear of death. Here we examine this claim and the surrounding issues in Agar’s discussion. We argue, firstly, that Agar’s view rests on empirically dubious assumptions about human rationality and attitudes to risk, and secondly, that even if those assumptions are (...) granted, the fears that Agar adverts to are unlikely to dominate people’s lives if and when radical life-extension is made possible. Further, we claim that the structure of the decision-making process around life-extension is unlikely to be the way that it would have to be in order for Agar’s claims about fear of death to make sense. Finally, we argue that Agar is implicitly committed to a narrow conception of human value. In response, we suggest that the pursuit of life-extension can itself be seen as an expression of certain important aspects of our distinctively human nature. (shrink)

A analysis of some concepts of logic is proposed, around the work of Edelcio de Souza. Two of his related issues will be emphasized, namely: opposition, and quasi-truth. After a review of opposition between logical systems [2], its extension to many-valuedness is considered following a special semantics including partial operators [13]. Following this semantic framework, the concepts of antilogic and counterlogic are translated into opposition-forming operators [15] and specified as special cases of contradictoriness and contrariety. Then quasi-truth [5] is (...) introduced and equally translated as a product of two partial operators. Finally, the reflections proposed around opposition and quasi-truth lead to a third new logical concept: quasi-opposition, borrowing the central feature of partiality and opening the way to a potential field of new investigations into philosophical logic. (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)

FENOMENOLOGIA Y FISICA EN HUSSERL, WEYL Y NEELAMKAVIL: MATERIA-CAMPO BASADO EN EXTENSIÓN-CAMBIO Castillo Ochoa, Ruth Transferencias Interculturales e Históricas de la Europa Medieval Mediterránea RESUMEN La historia de la terminología científica posibilita dar cuenta de 'cambios lingüísticos' o contingencia de términos en Ciencia. La Fenomenología de Husserl resulta un marco filosófico completo para elucidar significados en terminología científica enfatizando el carácter a priori de conceptos fundacionales, su aspecto contingente (lenguaje), intersubjetividad, sujeto transcendental y epojé. En tal sentido, soportar las nociones (...) fundacionales en física bajo las categorías universales Extensión-Cambio de Neelamkavil contribuye al ideal husserliano. Aún no se llega a una imagen adecuada de las intricadas relaciones entre Filosofía y Ciencia. Sin embargo, los hallazgos científicos de Moser-Britt (2014) soportan posiciones kantianas y husserlianas en torno a los términos a priori que fundamentan las teorías físicas. Como consecuencia, los resultados han despertado el interés de filósofos y científicos hacia las ideas husserlianas en tanto terminología lingüística y comprensión aprioricista del mundo. De esta forma, dentro del estado actual del arte, P. Berghofer y H. Wiltsche (2018) abordan el rol de fenomenología en Filosofía de la Física; mientras J. Drummond (2019) en "Husserl: German Perspectives" analiza el rol de la fenomenología en Ciencia. R. Neelamkavil (2018) da cuenta de un nuevo conjunto de categorías en física que comulgan con las ideas de Husserl. La comprensión de los términos Masa y Campo en física, se aborda el estudio de H. Grelland "Husserl, Einstein y Weyl and Concepts of Space, Time and Space-Time" y H. Weyl, "Space, Matter and Time". Un análisis metalingüísitico entre términos científicos y fenomenológicos no se ha realizado aún. La intención de la propuesta es abordar este punto ciego. -/- PALABRAS CLAVE Extensión, Cambio, Masa, Campo, Esencia . (shrink)

This essay offers an interpretation of Descartes’ treatment of the concepts of place and space in the Principles of Philosophy. On the basis of that interpretation, I argue that his understanding and application of the concept of space supports a pluralist interpretation of Descartes on extended substance. I survey the Scholastic evolution of issues in the Aristotelian theory of place and clarify elements of Descartes’ appropriation and transformation thereof: the relationship between internal and external place, the precise content of (...) the claim that space and body are really identical, and the way we conceptually distinguish space from body. Descartes applies his concept of space in ways that illuminate the metaphysical structure of extension. In particular, he uses the concept to specify the degree to which finite parts of matter are independent of each other. I argue that for Descartes, conceiving extension as indivisible is an artifact of conceiving it as a space. That is, pace the monistic reading of Cartesian extended substance, regarding extension as indivisible is an artifact of conceiving it in a way more removed from its real nature. (shrink)

The concept “immaterial labor” is one of the most hotly debated topics in contemporary social theory. In his 2007 work The Concept of Labor: Marx and His Critics, Sean Sayers offered an extensive response to several critical redefinitions of labor (Habermas, Benton, Arendt) and immaterial labor (Lazzarato, Hardt and Negri). Sayers returned to the subject in his more recent book, Marx and Alienation: Essays on Hegelian Themes.1 As one of the few accounts that contests the contemporary Marx critics (...) with regard to fundamental concepts such as labor and immaterial labor, his contribution should be taken seriously. (shrink)

Abilitism is an approach to the metaphysics of concepts according to which each concept consists of a managing cognitive ability coordinating other abilities (cognitive and non-cognitive) and a set of subordinate abilities associated with this managing ability. As I argue here, if we accept the abilitist approach, we can efficiently solve such puzzles in the metaphysics of concepts as the partial possession problem, the concept pluralism problem, etc. However, there are some possible objections to abilitism, concerning the abilitist (...) explanation of compositional properties of concepts, knowledge-that, an extension/intension of concepts, and the idea that concepts are constituents of thought. As I demonstrate here, these objections can be answered. (shrink)

This essay endeavors to define the concept of indefinite extensibility in the setting of category theory. I argue that the generative property of indefinite extensibility for set-theoretic truths in category theory is identifiable with the Grothendieck Universe Axiom and the elementary embeddings in Vopenka's principle. The interaction between the interpretational and objective modalities of indefinite extensibility is defined via the epistemic interpretation of two-dimensional semantics. The semantics can be defined intensionally or hyperintensionally. By characterizing the modal profile of $\Omega$-logical (...) validity, and thus the generic invariance of mathematical truth, modal coalgebras are further capable of capturing the notion of definiteness for set-theoretic truths, in order to yield a non-circular definition of indefinite extensibility. (shrink)

In this paper, I argue that descriptive information associated with concepts plays a relevant role in the performance of different cognitive tasks, as suggested by Descriptivist Theories of Concepts (DTC). However, I argue that it does not follow that such information determines the extension of concepts, as also suggested by DTC. In support of these claims, I present an analysis of empirical evidence offered by cases of semantic dementia. According to this interpretation of such evidence, the information associated with (...) concepts is part of the cognitive content of concepts. It is involved in different cognitive tasks, but such evidence does not support the thesis that it is possible to determine the intentional content, i.e., the extension of a concept from the cognitive content, since to do so would face the objection of ignorance. (shrink)

Indian spiritual and philosophical systems are essentially cognitive scientific in nature. Having origin in the Upanishads all Indian philosophical systems supplemented and complemented one another to develop a comprehensive source book of cognitive science. The nature and form of consciousness, mind and its functions are extensively dealt with and discussed from Upanishads through Buddhism, Jainism, Viseshaka, Nyaya, Yoga, Samkhya, Poorva Meemamsa,and Uttara Meemaams, Sabdabrahma Siddhanta contributing to many concepts which have relevance to cognitive science and language acquisition and communication. In (...) this paper all these will be reviewed and especially the concept of guṇa as envisaged in various Indian philosophical systems will be presented and correlated. The evolution of concept of guṇa through Shaddrarsanas will be specifically looked at. A correlation with Sabdabrahma Siddhānta of Indian grammarians initiated by Patanjali and developed through Bhartruhari will also be presented. (shrink)

In Pietroski ( 2018 ) a simple representation language called SMPL is introduced, construed as a hypothesis about core conceptual structure. The present work is a study of this system from a logical perspective. In addition to establishing a completeness result and a complexity characterization for reasoning in the system, we also pinpoint its expressive limits, in particular showing that the fourth corner in the square of opposition (“ Some_not ”) eludes expression. We then study a seemingly small extension, (...) called SMPL +, which allows for a minimal predicate-binding operator. Perhaps surprisingly, the resulting system is shown to encode precisely the concepts expressible in first-order logic. However, unlike the latter class, the class of SMPL + expressions admits a simple procedural (context-free) characterization. Our contribution brings together research strands in logic—including natural logic, modal logic, description logic, and hybrid logic—with recent advances in semantics and philosophy of language. (shrink)

The integration of robotics in the education was one of the aspirations of the K-12 institution in the Philippines. The RoboTeach Extension Project was established to address the challenges associated with the implementation of robotics in K-12 education. This study explores the teachers’ perception of the efficacy in the implementation of the project which focused on training the Department of Education (DepEd) teachers in San Pablo City Laguna, Philippines on the basic concepts and applications of robotics and automation. The (...) topics and learning activities covered during the ten-day training were based on the self-assessment survey results on the level of knowledge of teachers. The study used a descriptive method of research using a quantitative approach and adopted the LSPU Extension Services Evaluation Survey Questionnaire to determine the respondents’ perception of the level of project efficacy. The data were obtained from twenty-five DepEd teachers and analyzed using descriptive statistics such as frequency count, per cent, weighted mean and ANOVA. The respondents were highly satisfied with meeting expectations to attain objectives, training and workshop contents, learning activities, methodologies, instructional materials used, resource person and trainers, training management team, and training management team and training facilities and services. Further, there was no significant difference among their level of satisfaction from day 1 to 5 of the training sessions. Respondents viewed the training as very successful, as evident from the consultation and culminating activity. Thus, the sustainability on the implementation of the project was highly recommended. (shrink)

In this paper I try to answer four basic questions: (1) How the concept of God is to be represented? (2) Are there any logical principles governing it? (3) If so, what kind of logic lies behind them? (4) Can there be a logic of the concept of God? I address them by presenting a formal-logical account to the concept of God. I take it as a methodological desideratum that this should be done within the simplest existing (...) logical formalism. I start with first-order logic (FOL) with identity, and then show that its simplest modal extension (SQML, or the simplest quantified modal logic) is enough for us to formalize a minimally satisfactory theory of the concept of God. I focus exclusively on the monotheistic concept of God. (shrink)

The question of possible moral conflict between commitment to family and to impartiality is particularly relevant to traditional Confucian thought, given the importance of familial bonds in that tradition. Classical Confucian ethics also appears to lack any developed theoretical commitment to impartiality as a regulative ideal and a standpoint for ethical judgment, or to universal equality. The Confucian prioritizing of family has prompted criticism of Confucian ethics, and doubts about its continuing relevance in China and beyond. This chapter assesses how (...) those sympathetic to the Confucian vision of the good life might respond. It first explores Confucian conceptions of love and the importance of familial love. Next, problems arising from this commitment to partiality are discussed, and how a modern Confucian ethics might respond. I explore what notions of impartiality—understood largely pragmatically, as a value that functions in everyday social life rather than as an explicit moral principle that guides deliberation or judgment—can be derived from an ethics that focuses on family commitments. (shrink)

Various theories suggest conscious phenomena are based exclusively on brain activity, while others regard them as a result of the interaction between embodied agents and their environment. In this paper, I will consider whether this divergence entails the acceptance of the fact that different theories can be applied in different scales (as in the case of physics), or if they are reconcilable. I will suggest that investigating how the term representation is used can reveal some hints, building upon which we (...) can bridge the gulf between the two poles in the long run. In my argumentation I will rely on some earlier philosophical insights, such as those of Descartes, James, Wittgenstein and Merleau-Ponty, as well as research based on global workspace theory, and the conceptions of embodied and enacted cognition. I will suggest that within a wider horizon of investigation, the ambiguity as regards the term representation will decrease. (shrink)

In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes (parameters)’ values. An attribute value v has a corresponding (fuzzy, intuitionistic fuzzy, or neutrosophic) degree of appurtenance d(x,v) of the element x, to the set P, with respect to some given criteria. In order to obtain a better accuracy for the plithogenic aggregation operators in the plithogenic set, and for a more (...) exact inclusion (partial order), a (fuzzy, intuitionistic fuzzy, or neutrosophic) contradiction (dissimilarity) degree is defined be-tween each attribute value and the dominant (most important) attribute value. The plithogenic intersection and union are linear combinations of the fuzzy operators tnorm and tconorm, while the plithogenic complement, inclusion (inequality), equality are influenced by the attribute values contradiction (dissimilarity) degrees. This article offers some examples and applications of these new concepts in our everyday life. (shrink)

When people combine concepts these are often characterised as “hybrid”, “impossible”, or “humorous”. However, when simply considering them in terms of extensional logic, the novel concepts understood as a conjunctive concept will often lack meaning having an empty extension (consider “a tooth that is a chair”, “a pet flower”, etc.). Still, people use different strategies to produce new non-empty concepts: additive or integrative combination of features, alignment of features, instantiation, etc. All these strategies involve the ability to deal (...) with conflicting attributes and the creation of new (combinations of) properties. We here consider in particular the case where a Head concept has superior ‘asymmetric’ control over steering the resulting concept combination (or hybridisation) with a Modifier concept. Specifically, we propose a dialogical approach to concept combination and discuss an implementation based on axiom weakening, which models the cognitive and logical mechanics of this asymmetric form of hybridisation. (shrink)

I suggest a solution to a conflict between semantic internalism – according to which the concepts one expresses are determined by one's use of representations – and publicity – according to which, if two subjects successfully communicate or are in genuine agreement, then they entertain thoughts constituted by the same concepts. My solution rests on the thesis that there can be successful communication and genuine agreement between thinkers employing distinct concepts as long as there is a certain relation (of conceptually (...) guaranteed sameness of extension) between them. In section 2, I motivate semantic internalism and show how it conflicts with publicity. In section 3, I carve the logical space of possible solutions to the conflict into liberal and conservative solutions. Section 4 assesses Wikforss's conservative solution to Burge's arthritis thought‐experiment and concludes that it fails for more than one reason. Section 5 introduces a new case study involving a deferential concept. This case serves as the backdrop for my positive account offered in section 6. The conclusion of the article is preceded by a comparison of my view with another recently proposed by Recanati (section 7) and some replies to possible objections (section 8). (shrink)

The article recovers the earlier meaning of event as found in Alfred North Whitehead’s works, Principles of Natural Knowledge and Concept of Nature. In the early Whitehead, the event is considered as the metaphysical ultimate; such that events are the metaphysical building blocks in order to account for the temporal and spatial extensiveness of reality. The recuperation of the pre-PR concept of event is expressive of a dynamic of extending over, or passing into, of one event to another. (...) This dynamic is explicitly absent in the actual occasion of Process and Reality, after Whitehead’s “turn to atomism.”. (shrink)

In view of the publication of the DSM-V researchers were asked to discuss the theoretical implications of the definition of mental disorders. The reasons for the use, in the DSM-III, of the term disorder instead of disease are considered. The analysis of these reasons clarifies the distinction between the general definition of disorder and its implicit, technical meaning which arises from concrete use in DSM disorders. The characteristics and limits of this technical meaning are discussed and contrasted to alternative definitions, (...) like Wakefield’s harmful/dysfunction analysis. It is shown that Wakefield’s analysis faces internal theoretical problems in addition to practical limits for its acceptance in the DSM-V. In particular, it is shown that: a) the term dysfunction is not purely factual but intrinsically normative/evaluative; b) it is difficult to clarify what dysfunctions are in the psychiatric context (the dysfunctional mechanism involved being unknown in most cases and the use of evolutionary theory being even more problematic); c) the use of conceptual analysis and commonsense intuition to define dysfunctions leaves unsatisfied empiricists; d) it is unlikely that the authors of the DSM-V will accept Wakefield’s suggestion to revise the diagnostic criteria of any single DSM disorder in accordance with his analysis, because this is an excessively extensive change and also because this would probably reduce DSM reliability. In conclusion, it is pointed up in which sense DSM mental disorders have to be conceived as constructs, and that this undermines the realistic search for a clear-cut demarcation criterion between what is disorder and what is not. (shrink)

In this paper I shall outline a short history of the ideas concerning sense and reference of a concept-word from Frege to model theoretic semantics. I claim that, contrary to what is normally supposed, a procedural view of sense may be compatible with model theoretic semantics, especially in dealing with problems at the boundary between semantics and pragmatics. A first paragraph on the paradox of the concept horse will clarify the attitude concerning the history of ideas that I (...) assume in this paper. In the second paragraph I will discuss some misunderstandings in the shift from the sense/reference distinction in Frege to the intension/extension distinction in model theoretic semantics. In the third I will show how a particular interpretation of the Fregean sense of a concept word may be of interest for model theoretic semantics. (shrink)

In this paper, I will look at the relationship between Weitz’s claim that art is an “open” concept and Dickie’s institutional theory of art, in its most recent form. Dickie’s theory has been extensively discussed, and often criticized, in the literature on aesthetics, yet it has rarely been observed – to my knowledge at least – that the fact that his theory actually incorporates, at least to some extent, Weitz’s claim about the “openness” of the concept of art, (...) precisely accounts for what I take to be the main flaws in the theory. In what follows I present arguments for that claim, looking briefly at the position of both authors with respect to the concept of art, then showing how they relate to each other, and what implications this has for Dickie’s institutional theory, and more generally for the traditional project of characterising art. (shrink)

When we talk of African philosophy as a different philosophical tradition we do not wish to suggest that it studies different range of realities from those that concern the other philosophical traditions. What we demonstrate is the difference that arises in approach or method naturally informed by the resident logic. Thus in African philosophy we study ultimate reality of which being is at the center. What being and even nothingness mean for us is not the same with what they mean (...) in other traditions. Unity: we sometimes say that being is one single whole without wishing to say that this view is monistic. In this light we hold that being is complete with both physical and spiritual aspects. Duality: we also share the view on the duality in nature without insisting that this is strict and permanent. Duality for Africans is essentially a point of inferential departure not a terminal point. The dual arrangement of things in nature is to necessarily lead to a tripartite conception. Triadic conception: this is the terminal point of all inferences in African thought. Yes, there is duality in nature but they exist as fragments and contraries i.e. incomplete in themselves but capable of coming together to form a whole. Obtaining this fusion of contrary fragments represents an inference from duality to triadic conception of reality. What this African conception is all about is not that being is tripartite or dual but that the coming together of two aspects of being is necessary for the formation of being. (shrink)

For Kierkegaard the ‘psychological experiment’ is a literary strategy. It enables him to dramatize an existential conflict in an experimental mode. Kierkegaard’s aim is to study the source of movement that animates the existing individual (this is the psychological part). However, he is not interested in the representation of historical individuals in actual situations, but in the construction of fictional characters that are placed in hypothetical situations; this allows him to set the categories in motion “in order to observe completely (...) undisturbed what these require” without caring to what extent someone has met this requirement or is able to meet it (this is the experimental part). -/- The ‘psychological experiment’ is a category of indirect communication that is developed most extensively by Frater Taciturnus, the pseudonymous author of the third part of Stages on Life’s Way. (I) Taciturnus introduces the psychological experiment as a new trajectory in modern literature that offers an alternative to poetry and speculative drama. He develops this new trajectory in praxis (in the novella ‘“Guilty?”/“Not Guilty?” A Story of Suffering: A Psychological Experiment by Frater Taciturnus’) as well as in theory (in the ‘Letter to the Reader’ that accompanies his novella). (II) Two other pseudonymous authors further enrich the conceptual field of the psychological experiment. Constantin Constantius develops the notion ‘experimenting psychology’; Johannes Climacus reflects on the reader’s contemporaneity with the character. (shrink)

Although the fast-growing literature on restorative justice is extensive, and in some regards repetitive, there is still no consensus as to the nature and extent of applicability of the restorative notion. This article claims that the restorative movement is experiencing a tension between normative abolitionist and pragmatic visions of restorative justice. It proceeds to identify six conceptual fault-lines that characterize this tension. These do not only refer to various definitional positions, but also disagreements that negatively affect both the theoretical and (...) practical development of restorative justice. These tensions also encourage a power-interest battle between different stakeholders within the restorative movement including practitioners, theoreticians, researchers and policy makers. To approach these controversies, there needs to be an acknowledgment of the multidimensional nature of the conceptual problem of restorative justice and the impact it has on its application. The article attempts to get to grips with this problem, and provide a common ground for the future development of restorative justice. (shrink)