The paper defends the structural concept of representation, defined by homomorphisms, against the main objections that have been raised against it: Logical objections, the objection from misrepresentation, the objection from failing necessity, and the copy theory objection. Homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight.

The aim of this paper is to defend the structural concept of representation, as defined by homomorphisms, against its main objections, namely: logical objections, the objection from misrepresentation, theobjection from failing necessity, and the copy theory objection. The logical objections can be met by reserving the relation.

The paper defends the structural concept of representation, defined by homomorphisms, against the main objections that have been raised against it: Logical objections, the objection from misrepresentation, the objection from failing necessity, and the copy theory objection. Homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight.

The aim of this paper is to defend the structural concept of representation, as defined by homomorphisms, against its main objections, namely: logical objections, the objection from misrepresentation, theobjection from failing necessity, and the copy theory objection. The logical objections can be met by reserving the relation ‘to be homomorphic to’ for the explication of potential representation (or, of the representational content). Actual reference objects (‘targets’) of representations are determined by (intentional or causal) representational mechanisms. Appealing (...) to the independence of the dimensions of ‘content’ and ‘target’ also helps to see how the structural concept can cope with misrepresentation. Finally, I argue that homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight. (shrink)

By contrasting Hippocratic and nineteenth century theories of disease, this paper describes important conceptual changes that have taken place in the history of medicine. Disease concepts are presented as causal networks that represent the relations among the symptoms, causes, and treatment of a disease. The transition to the germ theory of disease produced dramatic conceptual changes as the result of a radically new view of disease causation. An analogy between disease and fermentation was important for two of the main developers (...) of the germ theory of disease, Pasteur and Lister. Attention to the development of germ concepts shows the need for a referential account of conceptual change to complement a representational account. (shrink)

Examining the historical development of scientific concepts is important for understanding the structured routines within which these concepts are currently used as goal-directed tools in experiments. To illustrate this claim, I will outline how the concepts of mental imagery and hallucinations each draw on an older interdependent set of associations that, although nominally-discarded, continues to structure their current independent uses for pursuing discrete experimental goals. In doing so, I will highlight how three strands of literature offer mutually instructive insights for (...) understanding how the uses of our current scientific concepts contribute to experimental practices. The first strand of literature includes recent scholarship examining how the uses of scientific concepts can enable scientific practices (e.g., Boon 2012; Brigandt 2012; Feest 2010; Steinle 2012). In this context, scientific concepts have been described as tools that function in ways that contribute to empirical knowledge; contributions that extend beyond their traditionally recognized roles in mental and linguistic representation. The second strand of literature can be glimpsed within the technoscientific studies focus on non-human agency; a focus that supports an account of the disciplined routines within which concepts are used as acting in analogous ways to the routinized participation of machines in experiments (Pickering 1995). The third strand of the literature draws attention to how the functions of concepts are grounded by the set of historically-contingent experimental practices (e.g., Canguilhem 2008; Tiles 1984). Although maintaining valuable differences, the focus of these three strands of literature are mutually instructive. Together, they offer a view of the uses of concepts as taken-for-granted tools that function within networks of subterranean associations; associations that are grounded by historically contingent experimental practices that structure how they act (in concert with human and material participants) within the temporally dynamic processes of scientific practice. Through examples drawn from a comparison of the concepts of mental imagery and hallucinations, I aim to demonstrate the value that the converging insights of these three strands of literature offer for studying the role of scientific concepts in experimental practices. (shrink)

While the failure of the so-called classical theory of concepts - according to which definitions are the proper way to characterize concepts - is a consensus, metaphysical philosophy of religion still deals with the concept of God in a predominantly definitional way. It thus seems fair to ask: Does this failure imply that a definitional characterization of the concept of God is equally untenable? The first purpose of this paper is to answer this question. I focus on the (...) representational side of the matter. My goal is to analyze the extent to which the most important problems raised against the classical view of concepts affect a definitional-representational approach to the concept of God. The second purpose of the paper is to deepen into these issues, arguing for a pluralistic view of concepts and outlining a hybrid special theory of concepts, called the theory of ideal concepts. The theory is special because it deals with a special sort of concepts that I call ideal concepts; it is hybrid because, in addition to definitions, it uses another structure in the characterization of concepts: ideals. My goal is to argue that when applied to the concept of God and added to a pluralistic view of concepts, this theory can function as a tenable representational theory of the concept of God. (shrink)

The concept of “representation” is used broadly and uncontroversially throughout neuroscience, in contrast to its highly controversial status within the philosophy of mind and cognitive science. In this paper I first discuss the way that the term is used within neuroscience, in particular describing the strategies by which representations are characterized empirically. I then relate the concept of representation within neuroscience to one that has developed within the field of machine learning. I argue that the recent (...) success of artificial neural networks on certain tasks such as visual object recognition reflects the degree to which those systems exhibit inherent inductive biases that reflect the structure of the physical world. I further argue that any system that is going to behave intelligently in the world must contain representations that reflect the structure of the world; otherwise, the system must perform unconstrained function approximation which is destined to fail due to the curse of dimensionality, in which the number of possible states of the world grows exponentially with the number of dimensions in the space of possible inputs. An analysis of these concepts in light of philosophical debates regarding the ontological status of representations suggests that the representations identified within both biological and artificial neural networks qualify as legitimate representations in the philosophical sense. (shrink)

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be (...) found already in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

In this article I am going to reconstruct Stephen Toulmin’s procedural theory of concepts and explanations in order to develop two overlooked ideas from his philosophy of science: methods of representations and inferential techniques. I argue that these notions, when properly articulated, could be useful for shedding some light on how scientific reasoning is related to representational structures, concepts, and explanation within scientific practices. I will explore and illustrate these ideas by studying the development of the notion of instantaneous speed (...) during the passage from Galileo’s geometrical physics to analytical mechanics. At the end, I will argue that methods of representations could be considered as constitutive of scientific inference; and I will show how these notions could connect with other similar ideas from contemporary philosophy of science like those of models and model-based reasoning. (shrink)

A promising strategy for defending the role that representation plays in explanations of cognition frames the concept in terms of internal models or map‐like mechanisms. “Structural representation” offers an account of representation that is grounded in well‐specified, empirical criteria. However, anti‐representationalists continue to press the issue of how to account for the paradigmatic semantic properties of representation at the subpersonal level. In this paper, I offer an account of how the proponent of structural (...) representation should think about content. There are really two problems of content any account of representation must overcome: the “hard problem of content” and the “content determination problem.” I argue that the structural representation account has the resources to provide a naturalistically respectable notion of content that overcomes both problems. (shrink)

The early development of autobiographical memory is a useful case study both for examining general relations between language and memory, and for investigating the promise and the difficulty of interdisciplinary research in the cognitive sciences of memory. An otherwise promising social-interactionist view of autobiographical memory development relies in part on an overly linguistic conception of mental representation. This paper applies an alternative, ‘supra-communicative’ view of the relation between language and thought, along the lines developed by Andy Clark, to this (...) developmental framework. A pluralist approach to current theories of autobiographical memory development is sketched: shared early narratives about the past function in part to stabilize and structure the child’s own autobiographical memory system. (shrink)

The religious question in China is not limited to the contemporary tensions between the Catholic and Protestant churches and the Beijing regime, the repression suffered by Tibetan Buddhists or Uighur Muslims and the problems associated with so-called ‘sectarian’ movements. Though these issues are very important and worthy of interest in themselves, they have to be understood in a wider context which takes in the totality of religious realities in China, including those we in the West do not see because they (...) fall outside our representations of what is religious. Furthermore, the contemporary religious question assumes meaning only if we consider all the struggles between the Chinese state and society's religious structures since the end of the 19 th century. In another publication I have sketched out the modern history of relations between the Chinese state and the religious structures of the society. Here I should like to show the importance of the concept of religion itself and of the controversies around it in the history of those conflicting relations. We shall see that the concepts, such as religion, used in the humanities and social sciences have consequences that go far beyond the context of academic debates and can help to feed repression and social conflict. (shrink)

In a model of extended particles described by Minkowski space-time variables x, de Sitter internal variables ξ, a physical wave Ψ x (ξ) representing the proper characteristics of the particles, and a functional wave X [ Ψ ] giving previsions, we study functional propagation of X in the space of physical waves (as advocated by a quantum functional theory) as well as the nonlinear realization of the internal de Sitter group on its Lorentz subgroup (introduced by Drechsler). The first study (...) is undertaken in a special instance Ψ x (ξ) = ξ(x), while in the second the general structure of the model is adopted and curved space-time treated, but the functional propagation is not considered. A fiber bundle structure and an induced representation method are used. Propagators are derived, a quantum version of a variant of Drechsler's theory is obtained, and a nonlinear version of our model is constructed. (shrink)

Understanding what is distinctive about the role of models in science requires characterizing broad patterns in how these models evolve in the face of experimental results. That is, we must examine not just model statics—how the model relates to theory, or represents the world, at some point in time—but also model dynamics—how the model both generates new experimental results and is modified in response to them. Visual representations of structure play a central role in the theoretical reasoning of organic chemists. (...) Not surprisingly, these representations have changed in important ways–in response to experimental and theoretical developments– throughout the history of organic chemistry. In many cases it is appropriate to understand the visual representations used by organic chemists as models. The evolution of the structural representations of organic chemists therefore provides a clear example of the dynamics of scientific modeling. In this paper I use a conception of scientific modeling drawn from the work of Mary Hesse to examine how the concept of a molecular conformation was incorporated into the visual representations of structure used by organic chemists. (shrink)

Nominal concepts represent things as tokens of types. Recent research suggests that we represent principled connections between the type of thing something is (e.g., DOG) and some of its properties (k‐properties; e.g., having four legs for dogs) but not other properties (t‐properties; e.g., being brown for dogs). Principled connections differ from logical, statistical, and causal connections. Principled connections license (i) the expectation that tokens of the type will generally possess their k‐properties, (ii) formal explanations (i.e., explanation of the presence of (...) k‐properties in tokens of a type by reference to the type of thing it is), and (iii) normative expectations concerning the presence of k‐properties in tokens of the type. The present paper investigates the hypothesis that representing principled connections requires representing properties as aspects of being the relevant kind of thing (Aspect Hypothesis). Experiment 1 provides a direct test of the Aspect Hypothesis. Experiments 2 and 3 provide indirect tests of the Aspect Hypothesis. All three experiments provide support for the Aspect Hypothesis. Experiment 4 investigates a prediction of the Aspect Hypothesis concerning the manner in which formal explanations are licensed by principled connections. Finally, Experiment 5 investigates a prediction of the Aspect Hypothesis concerning the nature of the normative expectations licensed by principled connections. Together these results provide strong evidence for the idea that representing principled connections involves representing a property as being an aspect of being a given kind of thing. The results also help clarify the manner in which formal explanation differs from other modes of explanation. Finally, the results of the experiments are used to motivate a proposal concerning the formal structure of the conceptual representations implicated by principled connections. This structure provides a domain‐general way of structuring our concepts and embodies the perspective we take when we think and talk of things as being instances of a kind. (shrink)

We approach the virtual reality phenomenon by studying its relationship to set theory. This approach offers a characterization of virtual reality in set theoretic terms, and we investigate the case where this is done using the wellfoundedness property. Our hypothesis is that non-wellfounded sets (so-called hypersets) give rise to a different quality of virtual reality than do familiar wellfounded sets. To elaborate this hypothesis, we describe virtual reality through Sommerhoff’s categories of first- and second-order self-awareness; introduced as necessary conditions for (...) consciousness in terms of higher cognitive functions. We then propose a representation of first- and second-order self-awareness through sets, and assume that these sets, which we call events, originally form a collection of wellfounded sets. Strong virtual reality characterizes virtual reality environments which have the limited capacity to create only events associated with wellfounded sets. In contrast, the logically weaker and more general concept of weak virtual reality characterizes collections of virtual reality mediated events altogether forming an entirety larger than any collection of wellfounded sets. By giving reference to Aczel’s hyperset theory we indicate that this definition is not empty because hypersets encompass wellfounded sets already. Moreover, we argue that weak virtual reality could be realized in human history through continued progress in computer technology. Finally, within a more general framework, we use Baltag’s structural theory of sets (STS) to show that within this hyperset theory Sommerhoff’s first- and second-order self-awareness as well as both concepts of virtual reality admit a consistent mathematical representation. To illustrate our ideas, several examples and heuristic arguments are discussed. (shrink)

The main aim of this article is to present and defend a thesis according to which conceptual representations of some types of mental states are encoded in the same neural structures that underlie the first-personal experience of those states. To support this proposal here, I will put forth a novel account of the cognitive function played by ‘shared representations’ of emotions and bodily sensations, i.e. neural structures that are active when one experiences a mental state of a certain type as (...) well as when one observes someone else experiencing a state of the same type. I will argue that shared representations in fact constitute vehicles of certain mental state concepts (more precisely, concepts of specific types of emotions and somatosensory states). The main line of arguing for this will consist in showing that shared representations exhibit specific, ‘conceptual’ functional properties:(1) causal effect on forming metacognitive judgments, (2) cognitive penetrability, (3) diversity of input types. (shrink)

In this paper, representational structures of arithmetical thinking, encoded in human minds, are described. On the basis of empirical research, it is possible to distinguish four types of mental number lines: the shortest mental number line, summation mental number lines, point-place mental number lines and mental lines of exact numbers. These structures may be treated as generative mechanisms of forming arithmetical representations underlying our numerical acts of reference towards cardinalities, ordinals and magnitudes. In the paper, the theoretical framework for a (...) formal model of mental arithmetical representations is constructed. Many competitive conceptions of the mental system responsible for our arithmetical thinking may be unified within the presented framework. The paradigm underlying our research may be interpreted philosophically as a neo-Kantian approach to modeling the mind’s representational structures. (shrink)

Molecules have more or less symmetric and complex structures which can be defined in the mathematical framework of topology, group theory, dynamical systems theory, and quantum mechanics. But symmetry and complexity are by no means only theoretical concepts of research. Modern computer aided visualizations show real forms of matter which nevertheless depend on the technical standards of observation, computation, and representation. Furthermore, symmetry and complexity are fundamental interdisciplinary concepts of research inspiring the natural sciences since the antiquity.

The Nature of Concepts examines a central issue for all the main disciplines in cognitive science: how the human mind creates and passes on to other human minds a concept. An excellent cross-disciplinary collection with contributors including Steven Pinker, Andy Clarke and Henry Plotkin.

This article aims at clarifying some critical, yet under-explored, conceptual issues of social representations from a dialogical perspective. The article recasts the notion of social representations as a sensitising, rather than a definitive, concept, based on the distinction between dialogical and monological epistemologies. It is argued that the introduction of the concept of themata into the theory suggests the dialogical interdependence between common thinking and social morphology, between the genesis and structure of social representations, and between implicit underlying (...) themata and their pragmatic manifestations in structuring social representations. At the same time, the concept of themata implies that a social representation may be, at one and the same time, shared and communicated in hegemonic, emancipated and polemical ways in a complementary manner. These three ways of “sharing” are dialogically interrelated to each other. (shrink)

This paper analyzes Kent Bach’s representational theory of action, one of the causal theories of action. Bach’s theory sets requirements not only for the cause of an action, but also for how it unfolds in time and transitions into another action. These requirements suggest a sequential emergence of two components of the agent’s action awareness: the representation of the prepared movement and the perception of its sensory consequences. Bach introduces the concepts of “effective representation” (ER) and “receptive (...) class='Hi'>representation” (RR) to denote these components of awareness. According to representational theory, action has a cyclic three-step causal structure, where ER is the cause of a movement, the movement is the cause of RR, and RR is the cause of ER of subsequent movement. In constructing his theory, Bach tries to take into account the problem of deviant causal chains and to introduce the so-called minimal actions into the purview of the philosophy of action. Relying on the behavioral data on blindfolded deafferentated patients, in this paper I argue that RRs are not a necessary element of action. I also analyze Bach’s distinction between ER and RR and compare it with J. Searle’s approach, placing Bach’s theory within the context of studies of the structure of intentional states. I show that Bach’s theory occupies a unique position among views on the structure of action awareness. At the same time, I conclude that the frameworks of Bach and Searle are insufficient for describing the metaphysical difference between the two kinds of intentional states, and I also point out the difficulties facing the notion of ER. Based on this reasoning and the data on deafferentated patients, I propose a modification of the causal structure of action proposed by Bach, making a remark about the inadequate definition of ER. In the proposed modification, RR and the agent’s prior intention serve as alternative components of action awareness. (shrink)

The aim of this paper is to show that a comprehensive account of the role of representations in science should reconsider some neglected theses of the classical philosophy of science proposed in the first decades of the 20th century. More precisely, it is argued that the accounts of Helmholtz and Hertz may be taken as prototypes of representational accounts in which structure preservation plays an essential role. Following Reichenbach, structure-preserving representations provide a useful device for formulating an up-to-date version of (...) a (relativized) Kantian a priori. An essential feature of modern scientific representations is their mathematical character. That is, representations can be conceived as (partially) structure-preserving maps or functions. This observation suggests an interesting but neglected perspective on the history and philosophy of this concept, namely, that structure-preserving representations are closely related to a priori elements of scientific knowledge. Reichenbach’s early theory of a relativized constitutive but non-apodictic a priori component of scientific knowledge provides a further elaboration of Kantian aspects of scientific representation. To cope with the dynamic aspects of the evolution of scientific knowledge, Cassirer proposed a re-interpretation of the concept of representation that conceived of a particular representation as only one phase in a continuous process determined by pragmatic considerations. Pragmatic aspects of representations are further elaborated in the classical account of C.I. Lewis and the more modern of Hasok Chang. (shrink)

This article attempts to make a conceptual and epistemological junction between human learning and machine learning. I will be concerned with specifying and analysing the structure of concepts in the common ground between a concept-based human learning theory and a concept-based machine learning paradigm. I will focus on (i) humans’ conceptual representations in the framework of constructivism (as an educational theory of learning and model of knowing) and constructionism (as a theory for conceptualising learning) and (ii) concept (...) representations in the framework of inductive concept learning (as an inductive machine learning paradigm). The results will support figuring out the most significant key points for constructing a conceptual linkage between a human learning theory and a machine learning paradigm. Accordingly, I will construct a conceptual ground for expressing and analysing concepts in the common ground of human and informatics sciences and in the context of human-machine interplays. (shrink)

In this paper, an objective conception of contexts based loosely upon situation theory is developed and formalized. Unlike subjective conceptions, which take contexts to be something like sets of beliefs, contexts on the objective conception are taken to be complex, structured pieces of the world that (in general) contain individuals, other contexts, and propositions about them. An extended first-order language for this account is developed. The language contains complex terms for propositions, and the standard predicate "ist" that expresses the relation (...) that holds between a context and a proposition just in case the latter is true in the former. The logic for the objective conception features a global classical predicate calculus, a local logic for reasoning within contexts, and axioms for propositions. The specter of paradox is banished from the logic by allowing "ist" to be nonbivalent in problematic cases: it is not in general the case, for any context c and proposition p, that either ist(c,p) or ist(c, ¬p). An important representational capability of the logic is illustrated by proving an appropriately modified version of an illustrative theorem from McCarthy's classic Blocks World example. (shrink)

Kind representations, concepts like table, triangle, dog, and planet, underlie generic language. Here, we investigate the formal structure of kind representations—the structure that distinguishes kind representations from other types of representations. The present studies confirm that participants distinguish generic‐supporting properties of individuals (e.g., this watch is made of steel) and accidental properties (e.g., this watch is on the nightstand). Furthermore, work dating back to Aristotle establishes that only some generic‐supporting properties bear a principled connection to the kind, that is, are (...) true of an individual by virtue of its being a member of a specific kind (e.g., telling time for a watch). The present studies tested the hypothesis that principled connections are part of the formal structure of kind representations. Specifically, they tested whether they structure a newly learned kind representation. Experiment 1 found that introducing a property of a newly encountered novel kind in any one of four linguistic frames that provide evidence that a property has a principled connection to a kind (e.g., “It has fur because it is a blick”) led participants to infer a different conceptual consequence of principled connections (i.e., “There is something wrong with this blick, which does not have fur”) for which they had no direct evidence. Two introduction frames that provided no evidence for principled connections (e.g., “Almost all blicks have fur”) did not generate the same consequence. Experiment 2 found that all of the targeted properties were generic licensing, irrespective of the introduction frame. That the distinction between properties that bear principled connections to their kinds, and merely generic‐supporting properties structures novel kind representations, provides strong evidence that this distinction is part of the formal structure of kind representations. (shrink)

SummaryIn this paper we develop a general concept of a theory analogous to that of an empirical theory. It is shown that axioms can be regarded as rules for performing operations. Using this connection we give a definition of an intellectual structure, and it turns out that mathematical theories represent intellectual structures in a natural way.RésuméCet article développe un concept général de théorie analogue à celui de théorie empirique. II montre que les axiomes peuvent être considérés comme des (...) régles pour réaliser des opérations . Cette connexion permet de définir une structure intellectuelle, et il se trouve que les theories mathématiques représentent ces structures intellectuelles de façon naturelle.ZusammenfassungIn dieser Arbeit wird der allgemeine Begriff einer mathematischen Theorie entwickelt, der dem einer empirischen Theorie analog ist. Es wird gezeigt, dass sich Axiome als Regeln zur Durchführung von Operationen auffassen lassen. Unter Benutzung dieses Zusam‐rnenhangs wird eine Definition von intellektueller Struktur gegeben und es zeigt sich, dass mathe‐matische Theorien in natürlicher Weise intellektuelle Strukturen repräsentieren. (shrink)

Mostly philosophers cause trouble. I know because on alternate Thursdays I am one -- and I live in a philosophy department where I watch all of them cause trouble. Everyone in artificial intelligence knows how much trouble philosophers can cause (and in particular, we know how much trouble one philosopher -- John Searle -- has caused). And, we know where they tend to cause it: in knowledge representation and the semantics of data structures. This essay is about a recent (...) case of this sort of thing. One of the take-home messages will be that AI ought to redouble its efforts t o understand concepts. (shrink)

This paper is about a general methodology for pattern transformation. Patterns are network representations of the relations among structures and functions within an organism. Transformation refers to any realistic or abstract transformation relevant to biology, e.g. ontogeny, evolution and phenotypic clines. The main aim of the paper is a methodology for analyzing the range of effects on a pattern due to perturbing one or more of its structures and/or functions (transformation morphology). Concepts relevant to such an analysis of pattern transformation (...) are reviewed and several new ones introduced: pattern unit; direct and indirect functional demands; compatibility and trade-off; integrating, adding and decoupling; functional effectiveness; spatial, profile and other architectonic constraints; domains of structure-function relations; goal and process adaptability; multiple pathways. The paper is written from the the perspective of architectonic morphology, viz. functional morphology focusing on the relation between anatomical coherence and the compatibility of functions. The advantages and disadvantages of inductive and deductive approaches are discussed. (shrink)

Most of this work is concerned with two theories that underlie cognitive science; theories which I call "the representational theory of intentionality" and "the computational theory of cognition" . While the representational theory of intentionality asserts that mental states are about the world in virtue of a representation relation between the world and the state, the computational theory of cognition asserts that humans and others perform cognitive tasks by computing functions on these representations. CTC draws upon a rich analogy (...) between the mind and digital computers, portraying cognizers as receiving input and generating outputs . ;Since researchers within cognitive science--especially within cognitive psychology, computer science, and philosophy of mind--share a common theoretic background in their adherence to the combination of RTI and CTC, what I call "computationalism" most of the work done in philosophy of mind has been aimed at either refuting or further articulating these two theories. This work is strongly within that tradition. ;RTI and CTC combine to create an explanatory framework for explanation in cognitive science. In this work, I seek to delineate the exact structure of this framework, to determine its components and their overall relationships. In my mind, this involves making implicit aspects of computational explanation explicit, providing an overall rationale for the various components and their relationships, and defending that rationale against criticism. ;In particular, the project of this work is to argue that computationalist explanations of cognition within cognitive science need to make appeals to both representation and knowledge; to distinguish the respective roles of knowledge and of representation in an overall picture of computational explanations, and to develop and argue for definitions of representation and knowledge that would allow those concepts to play their respective roles within computational explanations in cognitive science. ;The first half of this work , therefore, is devoted to theories of representation, especially to the need for, and role of representation in computational explanations. The first half of the work culminates in chapter three with a definition of representation and a picture of the structure of computational explanations. The second half of the project then becomes to generate a definition of knowledge that defines knowledge in non-epistemic language amenable to computationalism and that carries the epistemic burdens placed upon knowledge by its use in computational explanations, as well as to offer a limited defence of that definition within the framework of traditional epistemology. (shrink)

It has become commonplace within feminist theory to claim that women’s lives are constructed by multiple, intersecting systems of oppression. In this thesis, I challenge the consensus that oppression is aptly captured by the theoretical model of “intersectionality.” While intersectionality originates in Black feminist thought as a purposive intervention into US antidiscrimination law, it has been detached from that context and harnessed to different representational aims. For instance, it is often asserted that intersectionality enables a representational politics that overcomes legacies (...) of exclusion within hegemonic Anglo-American feminism. I argue that intersectionality reinscribes the political exclusion of racialized women as a feature of their embodied identities. That is, it locates the failure of political representation in the “complex” identities of “intersectional” subjects, who are constructed as unrepresentable in terms of “race” or “gender” alone. Further, I argue that intersectionality fails to supplant race- and class-privileged women as the normative subjects of feminist theory and politics. In Chapter One, I demonstrate that intersectionality illicitly imports unitary concepts of “race,” “gender,” and “class.” In Chapter Two, I argue that intersectionality lacks a theory of hierarchy: it is a “flat geography” which cannot capture vertical and horizontal lines of power. In Chapter Three, I explore the role of analogical reasoning in rendering racialized women invisible both as gendered and as racialized subjects in twentieth-century social movements. To concretize this argument, I turn to Simone de Beauvoir’s use of race-sex analogies to describe (white, bourgeois) “women’s” situation in The Second Sex. In Chapter Four, I advance a programmatic unified account of oppression. I suggest that the possibility of a unified theory (as opposed to an intersectional one) is intimated in the concrete articulation of race, class, and gender. My point of departure is a phenomenology of capitalism, which reveals that these are all fundamentally modes of exploitation and appropriation. In Chapter Five, I theorize how they are made visible (and invisible) on the body. I extend Frantz Fanon’s account of “epidermalization,” drawing upon the marxian concepts of “fetishism” and “mode of appearance” to elaborate four structures of gendered racialized perception: first, the “miscegenation taboo” structures perceptions of the “purity” of whiteness and the “polluting” effects of blackness. Whiteness, theorised as a “possessive investment” and as “property” is defined by the right to exclude. Second, the “episteme of tellable differences” produces the conviction that we can automatically “tell the difference” between a body placed in one “racial” or gender category, and another—while bodies that temporarily confound classification cause fear and consternation. Third, the “race/reproduction bind” names the axiomatic assumption that “race” is reproduced through (heterosexual) procreation and that “race” is, therefore, biologically inheritable. Finally, the “fear/criminalisation reflex” refers to the bidirectional equation of particular racialised-gendered bodies with crime, and of crime with those bodies; this a function of the discursive use of ‘crime’ as an alibi for “race’” the systemic racialisation of punitive carceral institutions, and the historical origins of “race” in transatlantic chattel slavery, which shaped perceptual-cognitive associations of freedom with whiteness and captivity with blackness. (shrink)

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

The representation of similarities is a viable concept for a cognitive extension of visual psychophysics to the recognition of shapes, bringing issues such as similarity and categorization back into that field. However, as a framework it appears too general to place constraints on a particular process model for categorization. In particular, a preference for Chorus-like schemes with respect to structure-oriented approaches is unwarranted.

The article presents and justifies the thesis that the way of understanding knowledge has changed significantly over the last century. This change consists in departing from the classic definition of knowledge formulated by Plato, and in particular in questioning the subjective role of man as the holder of knowledge and abandoning claims to the truthfulness of knowledge. This process was an intensive evolution; its elements are given and justified in the text. Its source was a deep reconstruction of the mode (...) of creating epistemic structures in mathematics and geometry, based on the abandonment of the principle of representation. Knowledge turned out to be determined by the social context, it became dispersed, decentralized, which led to the rejection of the condition of its truthfulness. The last phase of this evolution is knowledge as a phenomenon in the area of digital technologies, in particular artificial intelligence. This evolution has led to the emergence of many variants of knowledge that act as local knowledge, which justifies the use of the plural in this case. (shrink)

The article presents and justifies the thesis that the way of understanding knowledge has changed significantly over the last century. This change consists in departing from the classic definition of knowledge formulated by Plato, and in particular in questioning the subjective role of man as the holder of knowledge and abandoning claims to the truthfulness of knowledge. This process was an intensive evolution; its elements are given and justified in the text. Its source was a deep reconstruction of the mode (...) of creating epistemic structures in mathematics and geometry, based on the abandonment of the principle of representation. Knowledge turned out to be determined by the social context, it became dispersed, decentralized, which led to the rejection of the condition of its truthfulness. The last phase of this evolution is knowledge as a phenomenon in the area of digital technologies, in particular artificial intelligence. This evolution has led to the emergence of many variants of knowledge that act as local knowledge, which justifies the use of the plural in this case. (shrink)

The semigroup of trajectories in Minkowski space-time and its induced representations are constructed as a generalization of the Galilei case. They describe relativistic pointlike particles and yield the free propagator as a path integral in the space of trajectories parametrized by a fifth parameter. This non physical propagator in a five-dimensional space is integrated over the fifth parameter to yield the physical propagator in Minkowski space. Thereafter, this notion is applied to a model of extended particles with internal Poincaré symmetry (...) and moving in an external Minkowski space. The geometrical structure is of Hilbert bundles and the interaction is introduced as a connection. The propagator is a path integral with respect to either the internal and external trajectories and reduces to a product of an internal and an external propagator when the interaction is ignored, just as has been found in a previous work with representations of the group rather than those of the semigroup. (shrink)

This paper argues for a representational semantic conception of scientific theories, which respects the bare claim of any semantic view, namely that theories can be characterised as sets of models. RSC must be sharply distinguished from structural versions that assume a further identity of ‘models’ and ‘structures’, which we reject. The practice-turn in the recent philosophical literature suggests instead that modelling must be understood in a deflationary spirit, in terms of the diverse representational practices in the sciences. These insights (...) are applied to some mathematical models, thus showing that the mathematical sciences are not in principle counterexamples to RSC. (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)

Complex fuzzy sets are the novel extension of Zadeh’s fuzzy sets. In this paper, we comprise the introduction to the concept of ξ -complex fuzzy sets and proofs of their various set theoretical properties. We define the notion of α, δ -cut sets of ξ -complex fuzzy sets and justify the representation of an ξ -complex fuzzy set as a union of nested intervals of these cut sets. We also apply this newly defined concept to a physical (...) situation in which one may judge the performance of the participants in a given task. In addition, we innovate the phenomena of ξ -complex fuzzy subgroups and investigate some of their fundamental algebraic attributes. Moreover, we utilize this notion to define level subgroups of these groups and prove the necessary and sufficient condition under which an ξ -complex fuzzy set is ξ -complex fuzzy subgroup. Furthermore, we extend the idea of ξ -complex fuzzy normal subgroup to define the quotient group of a group G by this particular ξ -complex fuzzy normal subgroup and establish an isomorphism between this quotient group and a quotient group of G by a specific normal subgroup G A ξ. (shrink)

Culture not only influences human psychology and perceptions of self, others and reality, it also, in certain contexts, influences the quality and degree of consciousness itself. If the brain gives shape to consciousness, then we would expect culture to have a corresponding impact on the functional anatomy and microstructure of the brain. The concept of 'collective representations', as developed by Durkheim, refers to the often crucial components of human life that have meaningful existence only because we agree that they (...) do-- such as customs, money, religion, cosmology, language, games, laws, power structures and artistic genres. We present recent imaging research which illuminates the feedback relationship between these two types of representation-- the collective and the cortical-- and which demonstrates that collective representations can have well-defined cortical representations. (shrink)

The proposition I elucidate and defend in this paper is that the explanatory power of Malgorzata Czarnocka’s conception of symbolic truth extends beyond our knowledge of empirical reality and includes our knowledge of human nature and human values. The paper is composed of two parts. In the first part I present a detailed analysis of the conception of symbolic truth. The focus in this analysis is on the nature of the correspondence relation which connects a true statement and the cognitive (...) object. Czarnocka persuasively argues that this relation is neither isomorphic nor homomorphic in character. She advances a detailed analysis of sensual perception as the locus of the cognitive act. The outcome of this analysis is that the structure of the statement which is articulated in this act does not copy or mirror the structure of the object but is a linguistic representation. In the second part of the paper I argue that empirical reality is not the paradigm of reality and that scientific knowledge is not the paradigm of knowledge. The domain of humanity is as real as the domain of empirical reality, and our knowledge of this domain is as central to our life as scientific knowledge is. Moreover, I argue that Czarnocka’s conception of symbolic truth functions adequately in explaining the possibility of knowledge of human nature and human values with special focus on the literary work of art. (shrink)

In the “Metaphysical Exposition” Kant argues that our representation of space is a pure intuition. Kant also claims there that “Space is not an empirical concept that has been drawn from outer experiences.” However, it is not clear how these two claims fit into the overall structure of Kant’s argument. I maintain that the second claim is a premise for the first and that Kant has an independent argument for the premise. By considering the question whether the notion (...) that Kant calls “the general concept of spaces in general” is derived by abstraction for Kant—deciding that it is not—I arrive at a formulation of this argument. Finally, I argue that this notion is not a concept in Kant’s technical sense but something related to it he calls elsewhere “declaration” (Declarationen) (Akad. IX, 142). A Declarationen is a statement of the meaning of a general term that does not express a general concept in Kant’s precise sense. My main thesis is that the meaning of the general term “spaces” for Kant is given by a Declarationen rather than a concept. (shrink)

A geometro-differential quantum theory of extended particles is presented. The geometrical selling is that of Hilbert fiber bundles whose base manifolds are pseudo-Riemannian space-times of points χ which are interpreted as partial aspects of physical reality (the extended particle). The fibers are carrier spaces of induced (internal configuration and momentum) representations of the structural group (the de Sitter group here). Sections of these bundles are seen as physical representations of the particle, and their values in the fibers are interpreted (...) as states of internally localized modes composing the particle. This geometrical structure is “analogous” to that of a geometro-stochastic quantization developed in recent years. The physical interpretation is a combination of those of an old functional quantum theory and of an induced representation scheme based on an interpretation of intertwining, between configuration and momentum representations, as localization, materialization, and propagation of particles. Our model is applied in two cases: (1) Induced representation is applied in both space-time and internal space: both have de Sitter symmetry whose connection is ignored. Intertwining is considered in both spaces in a composed fashion. (2) For generic spacetimes and when the connection is taken into account, intertwining is applied only in the internal space. Parallel transport is combined with intertwining for a redefinition of localization, materialization, and propagation (the latter in a path integral context inspired from geometro-stochastic quantization). (shrink)

Coordinate-based approaches to physical theories remain standard in mainstream physics but are largely eschewed in foundational discussion in favour of coordinate-free differential-geometric approaches. I defend the conceptual and mathematical legitimacy of the coordinate-based approach for foundational work. In doing so, I provide an account of the Kleinian conception of geometry as a theory of invariance under symmetry groups; I argue that this conception continues to play a very substantial role in contemporary mathematical physics and indeed that supposedly ``coordinate-free'' differential geometry (...) relies centrally on this conception of geometry. I discuss some foundational and pedagogical advantages of the coordinate-based formulation and briefly connect it to some remarks of Norton on the historical development of geometry in physics during the establishment of the general theory of relativity. (shrink)

The cortical representation of concepts varies according to the information critical for their development. Living categories, being mainly based upon visual information, are bilaterally represented in the rostral parts of the ventral stream of visual processing; whereas tools, being mainly based upon action data, are unilaterally represented in a left-sided fronto-parietal network. The unilateral representation of tools results from involvement in actions of the right side of the body.