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)

In lieu of an abstract, here is a brief excerpt of the content:Martin Heidegger and OntologyEmmanuel Levinas (bio)The prestige of Martin Heidegger 1 and the influence of his thought on German philosophy marks both a new phase and one of the high points of the phenomenological movement. Caught unawares, the traditional establishment is obliged to clarify its position on this new teaching which casts a spell over youth and which, overstepping the bounds of permissibility, is already in vogue. For once, (...) Fame has picked one who deserves it and, for that matter, one who is still living. Anyone who has studied philosophy cannot, when confronted by Heidegger’s work, fail to recognize how the originality and force of his achievements, stemming from genius, are combined with an attentive, painstaking, and close working-out of the argument—with that craftsmanship of the patient artisan in which phenomenologists take such pride. In this study, it is important for us to understand, above all, the true intentions of our author, to illuminate what he thinks really needs to be said, and to surmise what is most critical for him.To get to the heart of Heidegger’s system, it seems fitting to begin with a problem that is generally familiar. We choose the problem of knowledge, a deeper understanding of which takes us to the very threshold of Heidegger’s thought. For this problem, central to modern philosophy, is one of the main obstacles of modern philosophy that Heidegger wishes to surmount. Neo-Kantianism, which takes knowledge as the philosophical problem of the first rank, is the movement against which Heidegger rebels with all his strength. We have, thus, every chance of gaining access to his thought by the main door, so to speak. Once inside the system we will try to trace its outlines, 2 reserving, for a second part of our work, the determination of Heidegger’s place in the history of ideas, especially in the phenomenological movement, as well as of his relations with the philosopher to whom he owes so much—Edmund Husserl. 31In its most general form, the problem of the theory of knowledge has a critical significance. It consists in delineating a domain where knowledge can be certain and in determining the criteria for the legitimate scope of knowledge. But this problem, as normal and as simple as it may appear, has deeper roots. That knowledge should need a criterion at all presupposes that truth is not identical to all that is known and that the course [End Page 11] of things can fail to correspond with the course of thought. “How does knowledge correspond to being?” is a more profound formulation of the problem of knowledge.But we are not going to touch anymore on the primordial phenomenon that generates the problem. The problem of correspondence between thing and thought presupposes a free activity of thought and its isolation in relation to the object. It is precisely this presupposition which renders their harmony and even their contact problematic. “How does the subject take leave of itself to attain the object?” is what the problem of knowledge, in the last analysis, boils down to. Its true source is thus the concept of “subject” as elaborated by modern philosophy. The cogito presided over the subject’s birth. The cogito was the affirmation of the privileged nature of the subject’s immanent sphere, of its unique place in existence; hence, the cogito was the specificity of the subject’s connection to the rest of reality, the sui generis nature which opens up the passage from immanence to transcendence, the passage from ideas contained in the thinking substance to 4 their “formal existence.”The concept of the subject, understood as a substance having a specific position in the entire domain of being, presents us with difficulties of two kinds. First, how do we understand this leave-taking from the self which the thinking substance brings about and which displays an entirely original aspect? Indeed, we could say that thought, in reaching out toward objects, does not actually take leave of itself, since its objects—considered as ideas and contents of thought—are, in a certain sense, already within it. In order to make sense of this paradox, Descartes... (shrink)

The paper begins with an argument against eliminativism with respect to the propositional attitudes. There follows an argument that concepts are sui generis ante rem entities. A nonreductionist view of concepts and propositions is then sketched. This provides the background for a theory of concept possession, which forms the bulk of the paper. The central idea is that concept possession is to be analyzed in terms of a certain kind of pattern of reliability in one’s intuitions regarding the (...) behavior of the concept. The challenge is to find an analysis that is at once noncircular and fully general. Environmentalism, anti-individualism, holism, analyticity, etc. provide additional hurdles. The paper closes with a discussion of the theory’s implications for the Wittgenstein-Kripke puzzle about rule-following and the Benacerraf problem concerning mathematical knowledge. (shrink)

Why Theories of Concepts Should Not Ignore the Problem of Acquisition.

We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and (...) show that the structure of the set of contexts and of the set of properties of a concept is a complete orthocomplemented lattice. The structural study in this article is a preparation for a numerical mathematical theory of concepts in the Hilbert space of quantum mechanics that allows the description of the combination of concepts. (shrink)

The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogonal projections. The way calculations are done in Hilbert space makes it possible to model how context influences the state of a concept. Moreover, a solution to the combination of concepts is proposed. Using the tensor product, a procedure for describing combined concepts is elaborated, providing a natural (...) solution to the pet fish problem. This procedure allows the modeling of an arbitrary number of combined concepts. By way of example, a model for a simple sentence containing a subject, a predicate and an object, is presented. (shrink)

Much of the scholarship on Kant’s theory of concept formation has focused on the question of whether his theory suffers from circularity, i. e., whether it presupposes the very concepts whose origin it should explain. In this article, I defend Kant against a well-known objection raised by Hannah Ginsborg. Ginsborg, I argue, overlooks the relatively narrow aim of Kant’s theory of concept formation. Kant explicitly frames it as an account of a concept’s inherent generality, or form. However, Ginsborg’s objection (...) is not about a concept’s form; it concerns the concept’s content. Moreover, Kant addresses the issue that she raises in his theory of definitions, which explains how a concept’s content can be revised and perfected. Kant considered all empirical concepts to be incomplete and imprecise. For this reason, he denied that they can be properly defined. Kant also did not regard the content of empirical concepts as fixed or permanent. Indeed, he expected that we would continually expand and revise their content on the basis of experience. I argue that these facts, along with the narrow scope of Kant’s theory of concept formation, effectively defuse Ginsborg’s objection. (shrink)

The word ‘concept’ is sometimes used as a synonym for ‘property’, but many authors use it in a more specific sense, for example as standing for unsaturated entities whose extensions are sets and classes, for Fregean senses, or for abstract objects. Although there is no universal agreement on a definition of concepts, a viable theory of concepts has to address a number of formal issues: How to deal with counterfactual and possibly contradictory concepts, how to restrict comprehension (...) schemes in higher-order logic to avoid semantic paradoxes like the Paradox of Predication, how to nominalize concepts, and how to express similarity and typicality of concepts. The article gives a brief survey of the most important problems in concept theory and their possible solutions. (shrink)

The book aims to set out in which respects concepts are properly studied in philosophy, what methodological role the study of concepts has in philoso-phy's study of the world. Many of the considerations in this book nowadays are placed under the headline ‘metaphilosophy’. In contrast to paradigmatic ordinary language philosophy the book endorses a representationalist theory of meaning and concepts, thus agreeing with many of its critics in philosophy and the cognitive sciences. In contrast to many of (...) these critics and supposedly the majority of cognitive scientists it endorses the viability of conceptual analysis as one method of philosophy. The book reflects on Frege's theory of concepts, because Frege's theory of sentential unity has barely been super-seded, and the problems arising from Frege's understanding of concepts are still alive. The central part of the book starts by reconsidering the approach and the idea of ordinary language philosophy. Although ordinary language philosophy cannot be the whole of analytic philosophy a proper understanding of conceptual analysis turns out to be one part of analytic philosophy. (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)

In this paper, the author develops a theory of concepts and shows that it captures many of the ideas about concepts that Leibniz expressed in his work. Concepts are first analyzed in terms of a precise background theory of abstract objects, and once concept summation and concept containment are defined, the axioms and theorems of Leibniz's calculus of concepts (in his logical papers) are derived. This analysis of concepts is then seamlessly connected with Leibniz's modal (...) metaphysics of complete individual concepts. The fundamental theorem of Leibniz's modal metaphysics of concepts is proved, namely, whenever an object x has F contingently, then (i) the individual concept of x contains the concept F and (ii) there is a (counterpart) complete individual concept y which doesn't contain the concept F and which `appears' at some other possible world. Finally, the author shows how the concept containment theory of truth can be made precise and made consistent with a modern conception of truth. (shrink)

Agents can think using concepts they do not fully understand. This paper investigates the question “Under what conditions does a thinker fully understand, or have mastery of, a concept?” I lay out a gauntlet of problems and desiderata with which any theory of concept mastery must cope. I use these considerations to argue against three views of concept mastery, according to which mastery is a matter of holding certain beliefs, being disposed to make certain inferences, or having certain intuitions. (...) None of these attitudes is either necessary or sufficient for mastery. I propose and respond to objections to my own recognition view of the conditions under which a thinker has mastery of a concept. (shrink)

First published in 1988. Routledge is an imprint of Taylor & Francis, an informa company.

Three different notions of concepts are outlined: one derives from Leibniz, while the other two derive from Frege. The Leibnizian notion is the subject of his "calculus of concepts" (which is really an algebra). One notion of concept from Frege is what we would call a "property", so that when Frege says "x falls under the concept F", we would say "x instantiates F" or "x exemplifies F". The other notion of concept from Frege is that of the (...) notion of sense, which played various roles within Frege's theory. This notion of concept can be generalized and, as such, accounts for our intuitive talk of "x's concept of ...", where the ellipsis can be filled in with a name for individual, a property, or a relation, etc. After outlining these three notions, I then discuss how (axiomatic) object theory offers a distinct, precise regimentation of each of the three notions. (shrink)

Psychologists of concepts’ traditional assumption that there are many properties common to all concepts has been subject to devastating critiques in psychology and in the philosophy of psychology. However, it is currently unclear what approach to concepts is best suited to replace this traditional assumption. In this article, we compare two competing approaches, the Heterogeneity Hypothesis and the hybrid theories of concepts, and we present an empirical argument that tentatively supports the former over the latter.

'Concept' is a central notion in modern philosophy. This book deals with the philosopher Aristotle to compare modern theories of 'concepts' as he is said to be the predecessor both of classical theory and of modal theories of 'concepts' in the modern debate. Both pathêma and logos are central to his theory of language, thought, and concepts.

Two general principles have played a crucial role in the recent debate on concepts. On the one hand, we want to allow different subjects to have the same concepts, thus accounting for concept publicity: concepts are ‘the sort of thing that people can, and do, share’. On the other hand, a subject who finds herself in a so-called ‘Frege case’ appears to have different concepts for the same object: for instance, Lois Lane has two distinct (...) class='Hi'>concepts SUPERMAN and CLARK KENT which refer to the same person. Several theories have tried to meet both of these constraints at the same time. But should we really try to satisfy both principles? This paper will argue that the traditional project of fulfilling these two constraints has been a misguided one. Through a variation on classic identity mistake cases, I will show that our two desiderata are inconsistent: it would thus be impossible to incorporate both of them in our best theory of concepts. (shrink)

First published in 1988. Routledge is an imprint of Taylor & Francis, an informa company.

Our computational metaphysics group describes its use of automated reasoning tools to study Leibniz’s theory of concepts. We start with a reconstruction of Leibniz’s theory within the theory of abstract objects (henceforth ‘object theory’). Leibniz’s theory of concepts, under this reconstruction, has a non-modal algebra of concepts, a concept-containment theory of truth, and a modal metaphysics of complete individual concepts. We show how the object-theoretic reconstruction of these components of Leibniz’s theory can be represented for investigation (...) by means of automated theorem provers and finite model builders. The fundamental theorem of Leibniz’s theory is derived using these tools. (shrink)

Psychology has had difficulty accounting for the creative, context-sensitive manner in which concepts are used. We believe this stems from the view of concepts as identifiers rather than bridges between mind and world that participate in the generation of meaning. This paper summarizes the history and current status of concepts research, and provides a non-technical summary of work toward an ecological approach to concepts. We outline the rationale for applying generalizations of formalisms originally developed for use (...) in quantum mechanics to the modeling of concepts, showing how it is because of the role of context that deep structural similarities exist between the two. A concept is defined not just in terms of exemplary states and their features or properties, but also by the relational structures of these properties, and their susceptibility to change under different contexts. The approach implies a view of mind in which the union of perception and environment drives conceptualization, forging a web of conceptual relations or ‘ecology of mind’. (shrink)

Most theories of concepts take concepts to be structured bodies of information used in categorization and inference. This paper argues for a version of atomism, on which concepts are unstructured symbols. However, traditional Fodorian atomism is falsified by polysemy and fails to provide an account of how concepts figure in cognition. This paper argues that concepts are generative pointers, that is, unstructured symbols that point to memory locations where cognitively useful bodies of information are (...) stored and can be deployed to resolve polysemy. The notion of generative pointers allows for unresolved ambiguity in thought and provides a basis for conceptual engineering. (shrink)

This paper casts doubt on a recent criticism of Frege's theory of concepts and extensions by showing that it misses one of Frege's most important contributions: the derivation of the infinity of the natural numbers. We show how this result may be incorporated into the conceptual structure of Zermelo- Fraenkel Set Theory. The paper clarifies the bearing of the development of the notion of a real-valued function on Frege's theory of concepts; it concludes with a brief discussion of (...) the claim that the standard interpretation of second-order logic is necessary for the derivation of the Peano Postulates and the proof of their categoricity. (shrink)

It has been claimed that the prototype theory of concepts supports two controversial claims in the philosophy of art: that art cannot be defined, and that the possession of a certain sort of historical narrative is a sufficient but not necessary means of determining the art status of contested works. It is argued here that two sorts of considerations undermine the thesis that prototype theory offers significant support to anti-definitionism and historical narrativism. First, there is reason to think that (...) prototype theory is as a psychological theory not the sort of view that can support philosophical theories like anti-definitionism and historical narrativism. Second, well-known objections and theoretical alternatives to prototype theory theory raise serious questions about that theory’s own credentials. (shrink)

Fodor’s theory of concepts holds that the psychological capacities, beliefs or intentions which determine how we use concepts do not determine reference. Instead, causal relations of a specific kind between properties and our dispositions to token a concept are claimed to do so. Fodor does admit that there needs to be some psychological mechanisms mediating the property–concept tokening relations, but argues that they are purely accidental for reference. In contrast, I argue that the actual mechanisms that sustain the (...) reference determining concept tokening relations are necessary for reference. Fodor’s atomism is thus undermined, since in order to refer with a concept it is necessary to possess some specific psychological capacities. (shrink)

Fodor’s theory of concepts holds that the psychological mechanisms which guide us in applying concepts to objects do not determine reference; instead, causal relations of a specific kind between properties and our dispositions to token a concept are claimed to do so. Fodor does admit that there needs to be some psychological mechanism mediating the property – concept tokening relations, but argues that it is purely accidental for reference. In contrast, I argue that the actual mechanisms that sustain (...) the reference determining concept tokening relations are necessary for reference. Thus, to possess a concept it is necessary to possess some specific sustaining mechanism. (shrink)

This commentary raises two concerns with Machery's approach in Doing without Concepts. The first concern is that it may be possible to preserve a unified theory of concepts by distinguishing facts about concept individuation from facts about cognitive structures and processes. The second concern questions the sharpness of the distinction Machery draws between psychological and philosophical conceptions of concepts.

Fodor’s theory of concepts holds that the psychological mechanisms which guide us in applying concepts to objects do not determine reference; instead, causal relations of a specific kind between properties and our dispositions to token a concept are claimed to do so. Fodor does admit that there needs to be some psychological mechanism mediating the property – concept tokening relations, but argues that it is purely accidental for reference. In contrast, I argue that the actual mechanisms that sustain (...) the reference determining concept tokening relations are necessary for reference. Thus, to possess a concept it is necessary to possess some specific sustaining mechanism. (shrink)

How are we to understand the notion of concept, the very concept of concept itself? One natural way, it seems to me, is to take Fregean sense as a model, and imposing similar constraints on a theory of concepts. This approach has the advantage, among others, of allowing for a distinction to be made between publicly shared, objective concepts, on the one hand, and private, subjective mental representations on the other - a distinction which, I believe, is desirable (...) for various reasons. One problem with Frege. (shrink)

The topic of a priori knowledge is approached through the theory of evidence. A shortcoming in traditional formulations of moderate rationalism and moderate empiricism is that they fail to explain why rational intuition and phenomenal experience count as basic sources of evidence. This explanatory gap is filled by modal reliabilism -- the theory that there is a qualified modal tie between basic sources of evidence and the truth. This tie to the truth is then explained by the theory of concept (...) possession: this tie is a consequence of what, by definition, it is to possess (i.e., to understand) one’s concepts. A corollary of the overall account is that the a priori disciplines (logic, mathematics, philosophy) can be largely autonomous from the empirical sciences. (shrink)

The Kantian idea that some judgments are synthetic even in the area of a priori judgments cannot be accepted in its original version, but a modification of the notions analytic' and 'synthetic' discovers a rational core of that idea. The new definition of 'analytic' concerns concepts and makes it possible to distinguish between analytic concepts, which are effective ways of computing recursive functions, and synthetic concepts, which either define non-recursive functions, or define recursive functions in an ineffective (...) way. To justify this claim we have to construe concepts as abstract procedures not reducible to set-theoretical entities. (shrink)

There are many views about the structure of concepts, a plausible one of which is the theory-theory. Though this view is plausible for concrete concepts, it is unclear that it would work for abstract concepts, and then for moral concepts. The goal of this paper is to provide a plausible theory-theory account for moral concepts and show that it is supported by results in the moral psychology literature. Such studies in moral psychology do not explicitly (...) contend for the theory-theory of moral concepts, but I demonstrate that they actually do provide evidence for the use of theory knowledge at times in moral categorization and decision-making. In philosophy of cognitive science, I newly show that there is evidence that the theory-theory does apply to some moral concepts. (shrink)