In this paper we attempt to develop a problem representation technique which enables the decomposition of a problem into subproblems such that their solution in sequence constitutes a strategy for solving the problem. An important issue here is that the subproblems generated should be easier than the main problem. We propose to represent a set of problem states by a statement which is true for all the members of the set. A statement itself is (...) just a set of atomic statements which are binary predicates on state variables. Then, the statement representing the set of goal states can be partitioned into its subsets each of which becomes a subgoal of the resulting strategy. The techniques involved in partitioning a goal into its subgoals are presented with examples. (shrink)

From an object-oriented perspective, this paper investigates the interdisciplinary aspects of problem representation as well the differences between representation of problems in the mind and that in the machine. By defining an object as a combination of a symbol-structure and its associated operations, it shows how the representation of problems can become related to control, which conducts the search in finding a solution. Different types of representation of problems in the machine are classified into four (...) categories, and in a similar way four distinct models are distinguished for the representation of problems in the mind. The concept of layered hierarchies, as the main theme of the object-oriented paradigm, is used to examine the implications of problem representation in the mind for improving the representation of problems in the machine. (shrink)

Differences in difficulty between isomorphs of the Tower of Hanoi are generally explained in terms of differences in processing loads required by the different versions Kotovsky & Fallside, 1989 . Our claim is that the general knowledge about an action, activated by the context, is what guides the elaboration of problem representation. To test this hypothesis, we manipulated the context using four isomorphs. The results support the hypothesis: the selection of the adequate point of view on the action (...) depends on the context, and is a crucial step in the elaboration of problem representation. The more difficult versions are those that require abandoning the first point of view and selecting a new one. (shrink)

Spatial Representation presents original, specially written essays by leading psychologists and philosophers on a fascinating set of topics at the intersection of these two disciplines. They address such questions as these: Do the extraordinary navigational abilities of birds mean that these birds have the same kind of grip on the idea of a spatial world as we do? Is there a difference between the way sighted and blind subjects represent the world 'out there'? Does the study of brain-injured subjects, (...) such as 'blind seers', tell us anything about the working of normal spatial consciousness? -/- The essays are arranged into five sections, each of which reflects a central area of research into spatial cognition, and opens with a short introduction by the editors, designed to facilitate cross-disciplinary reading. The volume as a whole offers a rich and compelling expression of the view that to advance our understanding of the way we represent the external world it is necessary to draw on both philosophical and psychological approaches. (shrink)

Tye's book develops a persuasive and, in many respects, original argument for the view that the qualitative side of our mental life is representational in..

This first extensive study of Spinoza's philosophy of mind concentrates on two problems crucial to the philosopher's thoughts on the matter: the requirements for having a thought about a particular object, and the problem of the mind's relation to the body. Della Rocca contends that Spinoza's positions are systematically connected with each other and with a principle at the heart of his metaphysical system: his denial of causal or explanatory relations between the mental and the physical. In this way, (...) Della Rocca's exploration of these two problems provides a new and illuminating perspective on Spinoza's philosophy as a system. (shrink)

If emotion is not an arbitrary compilation of fixed types of (descriptive, conceptual, conative, prescriptive) content, nor a state that can be reduced to other types of pre-existing (perceptual, cognitive, behavioral) states, then what sort of thing is it really? Tom Cochrane has proposed that emotions are valent representations of situated concerns. Valent representation is a type of mental content whose function is to detect the presence or absence of certain conditions; what makes that type of content valent is (...) that without needing the mediation of any other state, a response is triggered that is disposed to increase or decrease the presence of the condition represented. I raise doubts about the plausibility of that account in light of recent work in philosophy of biology and philosophy of mind. (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)

Teleosemantic theories of representation are often criticized as being “too liberal”, i.e. as categorizing states as representations which are not representational at all. Recently, a powerful version of this objection has been put forth by Tyler Burge. Focusing on perception, Burge defends the claim that all teleosemantic theories apply too broadly, thereby missing what is distinctive about representation. Contra Burge, I will argue in this paper that there is a teleosemantic account of perceptual states that does not fall (...) prey to this problem, and that we can arrive at this account by combining some of Burge’s insights with a producer-oriented version of teleosemantics. The resulting theory turns out to be attractive and perfectly coherent. By contrast, the coherence of Burge’s own anti-teleosemantic approach becomes quite doubtful under closer examination—or so I will argue. (shrink)

Della Rocca concentrates on two problems crucial to Spinoza 's philosophy of mind: the requirements for having a thought about a particular object, and the problem of the mind's relation to the body. He contends that for Spinoza these two problems are linked and thus part of a systematic philosophy of mind.

The current orthodoxy in cognitive science, what I describe as a commitment to deep representationalism, faces intractable problems. If we take these objections seriously, and I will argue that we should, there are two possible responses: 1. We are mistaken that representation is the locus of our cognitive capacities — we manage to be the successful cognitive agents in some other, non-representational, way; or, 2. Our representational capacities do give us critical cognitive advantages, but they are not fundamental to (...) us qua human beings. As Andy Clark has convincingly argued, antirepresentationalism, option one, is explanatorily weak. Consequently, I will argue, we need to take the second option seriously. In the first half of the paper I rehearse the problems with the current representational view and in the second half of the paper I defend and give a positive sketch of a two-systems view of cognition – a non-representational perceptual system coupled with a representational language-dependent one – and look at some consequences of the view. (shrink)

Visual space can be distinguished from physical space. The first is found in visual experience, while the second is defined independently of perception. Theorists have wondered about the relation between the two. Some investigators have concluded that visual space is non-Euclidean, and that it does not have a single metric structure. Here it is argued that visual space exhibits contraction in all three dimensions with increasing distance from the observer, that experienced features of this contraction are not the same as (...) would be the experience of a perspective projection onto a fronto-parallel plane, and that such contraction is consistent with size constancy. These properties of visual space are different from those that would be predicted if spatial perception resulted from the successful solution of the inverse problem. They are consistent with the notion that optical constraints have been internalized. More generally, they are also consistent with the notion that visual spatial structures bear a resemblance relation to physical spatial structures. This notion supports a type of representational relation that is distinct from mere causal correspondence. The reticence of some philosophers and psychologists to discuss the structure of phenomenal space is diagnosed in terms of the simple materialism and the functionalism of the 1970s and 1980s. (shrink)

Introduction There are some exceptions, which we shall see below, but virtually all theories in psychology and cognitive science make use of the notion of representation. Arguably, folk psychology also traffics in representations, or is at least strongly suggestive of their existence. There are many different types of things discussed in the psychological and philosophical literature that are candidates for representation-hood. First, there are the propositional attitudes – beliefs, judgments, desires, hopes etc. (see Chapters 9 and 17 of (...) this volume). If the propositional attitudes are representations, they are person-level representations – the judgment that the sun is bright pertains to John, not a subpersonal part of John. By contrast, the representations of edges in V1 of the cerebral cortex that neuroscientists talk about and David Marr’s symbolic representations of “zero-crossings” in early vision (Marr 1982) are at the “sub-personal” level – they apply to parts or states of a person (e.g. neural parts or computational states of the visual system). Another important distinction is often made among perceptual, cognitive, and action-oriented representations (e.g. motor commands). Another contrast lies between “stored representations” (e.g. memories) and “active representations” (e.g. a current perceptual state). Related to this is the distinction between “dispositional representations” and “occurrent representations.” Beliefs that are not currently being entertained are dispositional, e.g. your belief that the United States is in North America - no doubt you had this belief two minutes ago, but you were not consciously accessing it until you read this sentence. Occurrent representations, by contrast, are active, conscious thoughts or perceptions. Which leads us to another important distinction: 1 between conscious and non-conscious mental representations, once a bizarre-sounding distinction that has become familiar since Freud (see Chapter 4 of this volume). I mention these distinctions at the outset to give you some idea of the range of phenomena we will be considering, and to set the stage for our central “problem of representation”: what is a mental representation, exactly, and how do we go about deciding whether there are any? We know there are public representations of various kinds: words, maps, and pictures, among others.. (shrink)

In his debates with Daniel Kahneman and Amos Tversky, Gerd Gigerenzer puts forward a stricter standard for the proper representation of judgment heuristics. I argue that Gigerenzer’s stricter standard contributes to naturalized epistemology in two ways. First, Gigerenzer’s standard can be used to winnow away cognitive processes that are inappropriately characterized and should not be used in the epistemic evaluation of belief. Second, Gigerenzer’s critique helps to recast the generality problem in naturalized epistemology and cognitive psychology as the (...) methodological problem of identifying criteria for the appropriate specification and characterization of cognitive processes in psychological explanations. I conclude that naturalized epistemologists seeking to address the generality problem should turn their focus to methodological questions about the proper characterization of cognitive processes for the purposes of psychological explanation. (shrink)

Advocates of the computational theory of mind claim that the mind is a computer whose operations can be implemented by various computational systems. According to these philosophers, the mind is multiply realisable because—as they claim—thinking involves the manipulation of syntactically structured mental representations. Since syntactically structured representations can be made of different kinds of material while performing the same calculation, mental processes can also be implemented by different kinds of material. From this perspective, consciousness plays a minor role in mental (...) activity. However, contemporary neuroscience provides experimental evidence suggesting that mental representations necessarily involve consciousness. Consciousness does not only enable individuals to become aware of their own thoughts, it also constantly changes the causal properties of these thoughts. In light of these empirical studies, mental representations appear to be intrinsically dependent on consciousness. This discovery represents an obstacle to any attempt to construct an artificial mind. (shrink)

This correspondence offers a counterpoint to the recent article of Dov Greenbaum and Mark Gerstein defending the pertinence of GATTACA 25 years after its release. I develop three arguments for not being enthusiastic about dystopian representations in the ethical, legal, and social discussion of genetic technologies and genomic sciences.

In this paper we present an overview of the current interpretations of the first volume of Arthur Schopenhauer’s main work The World as Will and Representation (W I) and discuss their problems. We discuss four issues, which in our opinion must clarify a current interpretation implicitly or explicitly, if it claims to be an interpretation of the whole book: (1) What does Schopenhauer mean by the fact that his work shares only one (single) thought? (2) How are the individual (...) books of W I related? (3) Do we have to read Schopenhauer’s W I as a normative guide to the denial of will-to-live or as a neutral description of the world? (4) Do the often discussed contradictions and aporias within the book follow a plan or are they errors of thought? (shrink)

We propose that scientific representation is a special case of a more general notion of representation, and that the relatively well worked-out and plausible theories of the latter are directly applicable to thc scientific special case. Construing scientific representation in this way makes the so-called “problem of scientific representation” look much less interesting than it has seerned to many, and suggests that some of the (hotly contested) debates in the literature are concerned with non-issues.

The purpose of this paper is twofold: to define the problem of thick representation and to show that the problem is a puzzle for representation rather than a puzzle for a specific art form or art, in general, as has previously been suggested. In the course of identifying and formulating the problem, I shall demonstrate why the solution proposed thus far fails to solve either the artistic problem at which it is aimed or the (...) representational problem I define. I conclude by indicating two promising directions in which a solution might be found and by explaining the philosophical and critical significance of finding a solution. (shrink)

Representations seem to play a major role in many neuroscientific explanations. Philosophers have long attempted to properly define what it means for a neural state to be a representation of a specific content. Teleosemantic theories of content which characterize representations, in part, by appealing to a historical notion of function, are often regarded as our best path towards an account of neural representations. This paper points to the anti-representationalist consequences of these accounts. I argue that assuming such teleosemantic views (...) will deprive representations of their explanatory role in computational explanations. My argument rests on the claim that many explanations in cognitive neuroscience are entirely independent of any historical considerations. In making this claim, I will also offer an adapted version of the famous Swampperson thought experiment, which is better suited to discussions of subpersonal neural representations. (shrink)

The representation of physics problems in relation to the organization of physics knowledge is investigated in experts and novices. Four experiments examine the existence of problem categories as a basis for representation; differences in the categories used by experts and novices; differences in the knowledge associated with the categories; and features in the problems that contribute to problem categorization and representation. Results from sorting tasks and protocols reveal that experts and novices begin their problem (...) representations with specifiably different problem categories, and completion of the representations depends on the knowledge associated with the categories. For, the experts initially abstract physics principles to approach and solve a problem representation, whereas novices base their representation and approaches on the problem's literal features. (shrink)

What does it mean to embed the phenomena in an abstract structure? Or to represent them by doing so? The semantic view of theories runs into a severe problem if these notions are construed either naively, in a metaphysical way, or too closely on the pattern of the earlier syntactic view. Constructive empiricism and structural realism will then share those difficulties. The problem will be posed as in Reichenbach's The Theory of Relativity and A Priori Knowledge, and realist (...) reactions will be examined, but they will be argued to dissolve upon scrutiny. (shrink)

John is currently thinking that the sun is bright. Consider his occurrent belief or judgement that the sun is bright. Its content is that the sun is bright. This is a truth- evaluable content (which shall be our main concern) because it is capable of being true or false. In virtue of what natural, scientifically accessible facts does John’s judgement have this content? To give the correct answer to that question, and to explain why John’s judgement and other contentful mental (...) states have the contents they do in virtue of such facts, would be to naturalize mental content. (shrink)

This paper deals with two different meanings of the concepts of representation related to historiography. Both of them have different consequences when they attempt to give account of recent pasts in conflict. The first of them is representation as it is understood in cultural or social history –a sort of belief that people have about the world, especially with recent pasts that affect them. The other one is historical language or historiography understood -after the linguistic turn- as a (...) representation of the past. The main objective of this paper is to show how these two meanings of representation collapse in a “history of the present” or in a“history of the recent past”. (shrink)

Rather than being random deviation, student errors can be a source of insight into the nature of student difficulties. This paper reports on (and offers pedagogical advice concerning) many common student errors in the construction of proofs, in the application of inference and replacement rules, and in the choice of proof strategies. In addition, a detailed description of the bottom-up strategy for “working backwards” is supplied, along with a discussion of the main difficulties students face when trying to solve proofs (...) in this fashion. Ultimately, it is argued that students can employ both top-down and bottom-up proofs strategies by making use of a graphic proof representation. (shrink)

It is often supposed that we can use mathematics to capture the time evolution of any physical system. By this, I mean that we can capture the basic truths about the time evolution of a physical system with a set of mathematical assertions, which can then be used as premises in arbitrary mathematical arguments to deduce more complex properties of the system. ;I would like to argue that this picture of the role of mathematics in physics is incorrect. Specifically, I (...) shall assert: ;The Deduction Failure Thesis: Bodies of knowledge in physics are generally not closed under otherwise valid mathematical argument forms. ;The Representation Failure Thesis: We cannot assume that the state of any system, together with its fundamental laws, can be captured by some set of mathematical assertions or equations. In fact, it is more likely that the world is not representable by a set of mathematical assertions or equations than that it is. ;The dissertation largely consists of arguments for these two theses. (shrink)

Recent works in philosophy of mind and the cognitive sciences draw an “unconventional” picture of cognitive processes and of the mind. Instead of conceiving of cognition as a process that takes place within the boundaries of the skull and the skin, some contemporary theories claim that cognition is a situated process that encompasses the human agent’s boundaries. In particular, the Extended Mind Hypothesis (EMH) and the Enactive approach to cognition claim that embodied action is constitutive of cognitive processes, and thus (...) of the mind. Although both theories give an “extended” or “extensive” picture of cognition and of the mind, they disagree on the epistemic value of internal representations. The EMH claims that we need to posit internal action- oriented representations (AORs). AORs would account for action-selection, action-control, and for the prediction of incoming perceptual information. The enactive approach to cognition argues against AORs. The concept of AOR does not fulfill the representational conditions necessary to talk about representations properly. Furthermore, AORs are expressive of an internalistic prejudice, which makes the EMH weak. Moreover, a semiotic analysis of AORs shows that these items called “representations” are not active at all. Therefore, the epistemic posit of AOR plays no interesting job in the project of extending the mind in virtue of a reassessment of the concept of representation aimed at making it embodied and active. Therefore I claim that the concept of AOR has to be rejected. Action- control, action-selection, and the anticipation of aspects of action-perception loops can be explained in a more enactive way. Embodied action in a field of affordances explains how agents respond selectively to environmental features and how action-perception loops are anticipated by the “affective agent”. Furthermore, the enactive approach to cognition - especially if coupled with a semiotic description of cognitive niches and with some insights from the affective sciences (e.g. appraisal of core relational themes) - gives an explanation of action that, in contrast to the EMH, is actually able to “extend the mind”. (shrink)

The problem of precise characterisation of traditional forms of reasoning applied in mathematics was independently investigated and successfully resolved by Jaśkowski and Gentzen in 1934. However, there are traces of earlier interests in this field exhibited by the members of the Lvov-Warsaw School. We focus on the results obtained by Jaśkowski and Leśniewski. Jaśkowski provided the first formal system of natural deduction in 1926. Leśniewski also demonstrated in some of his papers how to construct proofs in accordance with intuitively (...) correct principles. (shrink)

Hubert Dreyfus has argued recently that the frame problem, discussion of which has fallen out of favour in the AI community, is still a deal breaker for the majority of AI projects, despite the fact that the logical version of it has been solved. (Shanahan 1997, Thielscher 1998). Dreyfus thinks that the frame problem will disappear only once we abandon the Cartesian foundations from which it stems and adopt, instead, a thoroughly Heideggerian model of cognition, in particular one (...) that does not appeal to representations. I argue that Dreyfus is too hasty in his condemnation of all representational views; the argument he provides licenses only a rejection of disembodied models of cognition. In casting his net too broadly, Dreyfus circumscribes the cognitive playing field so closely that one is left wondering how his Heideggerian alternative could ever provide a foundation explanatorily robust enough for a theory of cognition. As a consequence, he dilutes the force of his legitimate conclusion, that disembodied cognitive models will not work, and this conclusion needs to be heard. By disentangling the ideas of embodiment and representation, at least with respect to Dreyfus‘ frame problem argument, the real locus of the general polemic between traditional computational/representational cognitive science and the more recent embodied approaches is revealed. From this, I hope that productive debate will ensue. (shrink)

The “representation problem” in abstract algebraic logic is that of finding necessary and sufficient conditions for a structure, on a well defined abstract framework, to have the following property: that for every structural closure operator on it, every structural embedding of the expanded lattice of its closed sets into that of the closed sets of another structural closure operator on another similar structure is induced by a structural transformer between the base structures. This question arose from Blok and (...) Jónsson abstract analysis of one of Blok and Pigozzis’s characterizations of algebraizable logics. The problem, which was later on reformulated independently by Gil-Férez and by Galatos and Tsinakis, was solved by Galatos and Tsinakis in the more abstract framework of the category of modules over a complete residuated lattice, and by Galatos and Gil-Férez in the even more abstract setting of modules over a quantaloid. We solve the representation problem in Blok and Jónsson’s original context of M-sets, where M is a monoid, and characterise the corresponding M-sets both in categorical terms and in terms of their inner structure, using the notions of a graded M-set and a generalized variable introduced by Gil-Férez. (shrink)

현상적 지향성 이론(phenomenal intentionality theory)은 주체(subject)의 현상적 상태를 통해 주체의 지향적 상태를 설명하는 이론이다. 현상적 지향성 이론의 한 가지 문제는 모든 지향적 상태가 고유한 현상적 상태를 동반하는 것은 아니라는 점이다. 멘델로비치(A. Mendelovici)는 이러한 문제를 해결하기 위해 이른바 ‘자기귀속주의(self-ascriptivism)’를 제안한다. 자기귀속주의에 따르면, 주체는 그가 가지는 현상적 상태가 무엇을 의미하는지 생각하는 성향을 가지고, 이러한 성향을 통해 다양한 지향적 상태들이 일어난다. 하지만 자기귀속주의는 주체의 지향적 상태를 그것에 관한 주체의 반성적인 생각을 통해 설명한다는 점에서 근본적으로 잘못되었다. 다른 한편 후설(E. Husserl)의 현상학에 근거하여 이러한 문제를 (...) 일으키지 않는 현상적 지향성 이론을 전개할 수 있다. 이러한 이론에 따르면, 주체가 가지는 현상적 상태는 주체가 아직 가지지 않는 이러저러한 현상적 상태들에 대한 기대를 일으키고, 이러한 기대를 통해 다양한 지향적 상태들이 일어난다. 그리고 이러한 기대는 이러저러한 현상적 상태들이 일어나면 만족하고 그렇지 않으면 실망하는 성향이다. 이러한 현상적 지향성 이론은 자기귀속주의에 있는 문제를 일으키지 않는다. 나아가 그것은 감각적이거나 감정적인 현상들로부터 구별되는 새로운 종류의 인식적 현상(cognitive phenomenology)을 필요로 하지 않는다. (shrink)

Science provides us with representations of atoms, elementary particles, polymers, populations, genetic trees, economies, rational decisions, aeroplanes, earthquakes, forest fires, irrigation systems, and the world’s climate. It's through these representations that we learn about the world. This entry explores various different accounts of scientific representation, with a particular focus on how scientific models represent their target systems. As philosophers of science are increasingly acknowledging the importance, if not the primacy, of scientific models as representational units of science, it's important (...) to stress that how they represent plays a fundamental role in how we are to answer other questions in the philosophy of science (e.g. the scientific realism debate). This entry begins by disentangling ‘the’ problem of scientific representation, before critically evaluating the current options available in the literature. (shrink)

We propose that scientific representation is a special case of a more general notion of representation, and that the relatively well worked-out and plausible theories of the latter are directly applicable to the scientific special case.

The structural representation (S-representation) account provides an increasingly popular way of understanding the role and value of representation in cognitive science. Yet critics remain unconvinced that the account has the resources to rescue representationalism. This paper reviews problems faced by the S-representation account. In doing so, it offers a novel taxonomy that divides objections into two broad camps that ought to be disambiguated: ‘conceptual’ and ‘empirical’. It further shows how these objections can be met, bolstering existing (...) responses in the literature with novel solutions, thus strengthening the S-representation account. Finally, this paper suggests that the types of objections identified provide a generalisable taxonomy for a better understanding of any version of anti-representationalism. Thus, this review is of value to the representation debate more broadly. (shrink)

In the Critique of the Power of Judgment, Kant introduces the notion of the reflective judgment and the a priori principle of purposiveness or systematicity of nature. He claims that the ability to judge objects by means of this principle underlies empirical concept acquisition and it is therefore necessary for cognition in general. In addition, he suggests that there is a connection between this principle and judgments of taste. Kant’s account of this connection has been criticized by several commentators for (...) the reason that it leads to the ‘everythingisbeautiful’ problem. In this paper I argue, contrary to these objections, that both finding an object beautiful and acquiring the concept represent the satisfaction of the same principle of nature’s purposiveness, which refers to the same cognitive need we have, that is, to systematize experience. I avoid the ‘everything is beautiful’ problem by arguing that aesthetic reflection refers to the synthesis of object’s individual and distinctive properties, while logical reflection refers to the synthesis of object’s general properties that it shares with other objects of its kind. Because aesthetic purposiveness is different from logical purposiveness, this allows for the possibility that we can have an object of cognition, without finding this object beautiful. (shrink)