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)

Praktykowanie teorii. Koncepty wczesnych prac Daniela Libeskinda jako wzorce realnej architektury Treści wczesnych prac Libeskinda, w tym zwłaszcza idee zawarte w cyklach rysunków pod nazwą Micromegas: The Architecture of End Space (1979) i Chamber Works: Architectural Meditations on the Themes from Heraclitus (1983) oraz trzy maszyny określone jako Three Lessons in Architecture (1985) w decydujący sposób wpłynęły na wszystkie późniejsze realizacje architekta. Prace te w dużym zakresie zmieniły zasady oddzielania teorii od praktyki budowlanej, w tym tak- że odgraniczania architektury od (...) literatury czy filozofii. Już Micromegas były polemiką z traktowaniem rysunku architektonicznego wyłącznie jako utylitarnego narzędzia w procesie stwarzania budowli i postawiły na uczynienie z tej techniki pełnoprawnej postaci realnej architektury. Chamber Works w jeszcze większym stopniu niż prace z serii Micromegas akcentowały samodzielność rysunku i jego odrębność od wszelkiej rzeczywistości czy zewnętrznych źródeł treści. Maszyny połączone w Three Lessons in Architecture streszczały dokonania dawnych epok historii sztuki budowania. Reading Machine opowiadała o rzemieślniczych początkach, Memory Machine o intelektualizmie okresu nowożytnego, Writing Machine zaś o współczesnym okresie mechanizacji pamięci i kreacji. Zadaniem maszyn była metafizyczna refleksja nad głównymi założeniami i mitami architektury, a zarazem przeniesienie tej refleksji na poziom doświadczenia zmysłowego. W berlińskim Jüdisches Museum wymyślone liternictwo architektoniczne połączyło się z narracją na temat zagłady żydowskich mieszkańców miasta. Libeskind wykreował nie tyle budowlę,ile literacką relację o zbrodni przełamującej historię ludzkość. (shrink)

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

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)

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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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

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)

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)

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)

A formal theory of truth, alternative to tarski's 'orthodox' theory, based on truth-value gaps, is presented. the theory is proposed as a fairly plausible model for natural language and as one which allows rigorous definitions to be given for various intuitive concepts, such as those of 'grounded' and 'paradoxical' sentences.

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.

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical (...) interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence. (shrink)

Our purpose in this article is to identify and suggest resolution for two core problematics of grounded theory. First, while grounded theory provides transparency to one part of the conceptualization process, where codes emerge directly from the data, it provides no such systematic or transparent way for gaining insight into the conceptual relationships between discovered codes. Producing a grounded theory depends not only on the definition of conceptual pieces, but the delineation of a relationship between at least (...) two of those pieces. Second, the conceptualization process of grounded theory is done in hierarchical fashion, where individual codes emerge from the data but then are used to generate insight into more general concepts and thematic statements. But various works on grounded theory have failed to provide any systematic way of using data specific levels of scale (the codes) to gain insight into more macro levels of scale (concepts and themes). We offer fractal concept analysis as a means of resolving both of these issues. By using a logic structure generator, fractal concept analysis delineates self-similar conceptual frameworks at various levels of abstraction, yielding a method for linking concepts together within and between levels of scale encountered in the grounded theory coding and categorization process. We conclude that this fractal analytic technique can bolster the aims of grounded theory as a formalized and systematic process for generating theory from empirical data. (shrink)

One of the most intuitive concepts of truth is the classical correspondence theory of truth. Aside from the theoretical cogency and plausibility, this truth theory has two fundamental problems. I shall explore both of these problems. This will not be to reveal the problematic nature of the classical correspondence theory of truth itself, but to demonstrate the implications it has on Islam. I shall establish that the problems of this truth theory contribute in the failure (...) to determine the truth of a particular notion of an Islamic God. Consequently this truth theory would prove inconsistent with a particular notion of God within the Islamic tradition. (shrink)

Using everyday language, spatial concepts, visualizations and his renowned "Feynman diagrams," the author clearly and humorously communicates the substance and spirit of QED (quantum electodynamics).

This book presents state of the art philosophical work on conspiracy theory research that brings in sharp focus on central and important insights concerning the supposed irrationality of conspiracy theory and conspiracy theory belief, while also proposing several novel solutions to long standing issues in the broader academic debate on these things called ‘conspiracy theories’. -/- It features a critical history of conspiracy theory theory, emphasising the role of the ‘first generation’ of philosophers in conspiracy (...) theory research. This book also includes discussions of a range of key issues such as: -/- What counts as conspiracy theory? Who counts as a conspiracy theorist? How are these terms variously understood by academics and the wider public, and Are conspiracy theories automatically suspect, and is it ever reasonable to be a conspiracy theorist? The book then builds upon that work by looking at how people’s political views affect both the conspiracy theories they believe and their beliefs about conspiracy theories; how we might defend conspiracy theorising without endorsing mad, bad or dangerous conspiracy theories; and contains several proposals for unifying conspiracy theory research under one theoretical framework: particularism. -/- This volume will be a key resource for philosophers and social scientists interested in recent work on the philosophy of conspiracy theory theory and its implications for conspiracy theory research. It will also appeal to members of the public, who want to know what, if anything, is wrong with these things called “conspiracy theories”. It was originally published as a special issue of Social Epistemology. (shrink)

According to a Kantian-Brandomian view of concepts, we can understand concepts in terms of norms or rules that bind those who apply them, and the use of a concept requires that the concept-user be sensitive to the relevant conceptual norms. Recently, Ginsborg raises two important objections against this view. According to her, the normativity Brandom ascribes to concepts lacks the internalist or first-person character of normativity that Kant’s view demands, and the relevant normativity belongs properly not to (...) concepts as such, but rather to belief or assertion. The purpose of this paper is to defend a Kantian-Brandomian view of concepts against these objections. (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.

The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propo gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have (...) put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t’Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J. Luka siewicz’s seminar on mathematicallogi. (shrink)

I argue that there is an affective injustice in gendered and racialized oppression. To account for this, we must deny the opposition of affect and intentionality often assumed in the philosophy of emotion and the affective turn: while affect and intentionality are not opposed in principle, affective intentionality may be refused uptake in oppressive practices. In section 1, I read Merleau‐Ponty’s theory of the body schema as a theory of affect that accommodates my account of affective injustice and (...) aligns with accounts of affect transmission and circulation in feminist philosophies of the affective turn. This is crucial for understanding Fanon’s contribution to the theory of the body schema, in which it is susceptible to historical‐racial “affective disorders.” In sections 2–4, I distinguish three types of affective injustice: affective marginalization, exploitation, and violence. In section 2 I develop an intersectional feminist account of this distinction drawing on Lorde and Lugones and raise questions about the limits of framing the issue of affective injustice in terms of intentionality as opposed to a more psychoanalytic conceptual vocabulary that accommodates the displacement of affective force. In sections 3 and 4, I explore these affective injustices through an analysis of Fanonian concepts, showing how the theory of the body schema can accommodate not only affective intentionality but also the oppressive disjunction of affect and intentionality, as well as forms of affective injustice that exceed the oppressive disabling of sense‐making and involve the exploitative and violent displacement of affective force. (shrink)

A similarity space is a hyperspace in which the dimensions represent various dimensions on which objects may differ. The similarity space theory of concepts is the thesis that concepts are regions of similarity spaces that are somehow realized in the brain. Proponents of such a theory of concepts include Paul Churchland and Peter Gärdenfors. This paper argues that the similarity space theory of concepts is mistaken because regions of similarity spaces cannot serve as (...) the components of judgments. It emerges that although similarity spaces cannot model concepts, they may model a kind of nonconceptual representation. (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)

Similarity‐based theories of concepts have a broad intuitive appeal and have been successful in accounting for various phenomena related to the formation and application of concepts. Their adequacy as theories of concepts has been questioned, however, as similarity is often taken as too flexible, too unconstrained, to be explanatory of categorization. In this article, I propose an account of similarity that takes the “foil” against which the target items are measured as integral to the process of comparison, (...) making the similarity relation a fundamentally triadic one. I argue that this account delivers more internal constraints on the process of comparison than the traditional, dyadic account of similarity does. Finally, I propose that this account is advantageous for a similarity‐based theory of concepts, as it easily integrates with the notion of conceptual taxonomy and uses it to deliver additional constraints on categorization. On such a theory of concepts, the foil, whose variability is in large part responsible for the flexible nature of similarity judgements, is turned within the framework of conceptual taxonomy to the very element that constrains similarity judgements in categorization. Therefore, this notion of similarity mitigates the worry that similarity is too flexible to be explanatory of categorization. (shrink)

Making use of the insights and practice of Ordinary Language Philosophy, understood as encompassing the work of Wittgenstein, Ryle, Austin and their followers, Clarity and Confusion in Social Theory reveals the profound logical flaws in some of the central methodological procedures often employed in social theory for dealing with concepts, offering alternative approaches to social scientists and philosophers for tackling the conceptual issues that have so bedevilled social science from its inception.

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)

I am grateful to colleagues for their comments on my target article ; they are almost uniformly insightful, telling, and helpful. In this brief response, I extend the discussion on, in order...