It is often observed that images—including mental images—are in some sense representationally ambiguous. Some, including Jerry Fodor, have added that mental images only come to have determinate contents through the contribution of non-imagistic representations that accompany them. This paper agrees that a kind of ambiguity holds with respect to mental imagery, while arguing (pace Fodor) that this does not prevent imagery from having determinate contents in the absence of other, non-imagistic representations. Specifically, I argue that mental images can (...) represent determinate types of outlays of properties without help from any non-imagistic representations, yet can only become involved in the representation of particular objects through pairing with a non-imagistic representation of the right sort. These points are defended through reflection on the “Picture Principle,” the nature of depiction, and general principles for typing and individuating mental states. (shrink)

[Pre-peer review draft available to download.] Our imaginative capacities shape the making of images, while the making of images has the ability to shape our imaginative capacities. What are the connections between vision and mental visual images that allow for this traffic between the contents of our minds and external images? And how are image-makers able to exploit the distinctive powers of imagery, to extend the modes of representation that are available to us, and hence also to extend the (...) resources upon which our imaginations can draw? The chapter explores various aspects of those issues. It starts by exploring “visual imagery” as a general category; and it identifies one very striking range of cases that encompasses both suitable mental and nonmental visual images. It develops a philosophical account of what is distinctive about the range of visual images thus identified. Subsequent sections then use the resulting ideas to investigate some of the ways in which various strategies for creating visual images exploit in remarkably inventive ways possibilities that are latent within the general phenomenon of imagistic representation. (shrink)

I argue for the existence of imaginative beliefs: mental states that are imaginative in format and doxastic in attitude. I advance two arguments for this thesis. First, there are imaginings that play the functional roles of belief. Second, there are imaginings that play the epistemic roles of belief. These arguments supply both descriptive and normative grounds for positing imaginative beliefs. I also argue that this view fares better than alternatives that posit distinct imaginative and doxastic states to account for the (...) same phenomena. Along the way, I demonstrate the theoretical significance of imaginative beliefs by showing how they pose a challenge for standard taxonomies of the mind, clarify the sense in which imagination is occurrent and voluntary, explain the justificatory role of the imagination, and point to a deep but underappreciated symmetry between imagistic and non-imagistic thought. (shrink)

Mythopoetry, the imagistic voice of the muses which manifests in myth and natural poetry, has been invoked as an impression of ideal curriculum with which to cherish intimate, vital experience (and to oppose its exile from educational life). In this statement, I intend to see through the pleasant surface of the label, mythopoetry, to see what image may lie just out of sight, beyond the "inspired writing" that mythopoetry implies. Beyond words themselves, meaning is found in sound and in (...) expressive representation. “Music, when soft voices die, / Vibrates in the memory” (Shelley). (shrink)

In the Protagoras, Socrates argues that what appears to be akrasia is, in fact, the result of a hedonic illusion: proximate pleasures appear greater than distant ones. On the face of it, his account is puzzling: why should proximate pleasures appear greater than distant ones? Certain interpreters argue that Socrates must be assuming the existence of non-rational desires that cause proximate pleasures to appear inflated. In this paper, I argue that positing non-rational desires fails to explain the hedonic error. However, (...) careful consideration of Socrates’ treatment of appearances reveals that he is not without resources to explain the illusion. I argue that in the Protagoras, appearances are imagistic mental representations that appear true but tend to be false. I suggest that proximate pleasures produce inflated hedonic predictions because we represent them more vividly than distant ones, yielding greater anticipatory pleasure which causes us to overestimate their magnitude. (shrink)

In this article , I first engage in some conceptual clarification of what the words "imagine," "imagining," and "imagination" can mean. Each has a constructive sense, an attitudinal sense, and an imagistic sense. Keeping the senses straight in the course of cognitive theorizing is important for both psychology and philosophy. I then discuss the roles that perceptual memories, beliefs, and genre truth attitudes play in constructive imagination, or the capacity to generate novel representations that go well beyond what's prompted (...) by one's immediate environment. (shrink)

Abstract: This entry elucidates causal and constitutive roles that various forms of imagining play in human action. Imagination influences more kinds of action than just pretend play. I distinguish different senses of the terms “imagining” and “imagination”: imagistic imagining, propositional imagining, and constructive imagining. Each variety of imagining makes its own characteristic contributions to action. Imagistic imagining can structure bodily movement. Propositional imagining interacts with desires to motivate pretend play and mimetic expressive action. And constructive imagination generates representations (...) of possibilities and actions on the basis of which we choose what to do. [Version archived here is a penultimate draft.]. (shrink)

According to a standard representationalist view cognitive capacities depend on internal content-carrying states. Recent alternatives to this view have been met with the reaction that they have, at best, limited scope, because a large range of cognitive phenomena—those involving absent and abstract features—require representational explanations. Here we challenge the idea that the consideration of cognition regarding the absent and the abstract can move the debate about representationalism along. Whether or not cognition involving the absent and the abstract requires the positing (...) of representations depends upon whether more basic forms of cognition require the positing of representations. (shrink)

The standard representation theorem for expected utility theory tells us that if a subject’s preferences conform to certain axioms, then she can be represented as maximising her expected utility given a particular set of credences and utilities—and, moreover, that having those credences and utilities is the only way that she could be maximising her expected utility. However, the kinds of agents these theorems seem apt to tell us anything about are highly idealised, being always probabilistically coherent with infinitely precise (...) degrees of belief and full knowledge of all a priori truths. Ordinary subjects do not look very rational when compared to the kinds of agents usually talked about in decision theory. In this paper, I will develop an expected utility representation theorem aimed at the representation of those who are neither probabilistically coherent, logically omniscient, nor expected utility maximisers across the board—that is, agents who are frequently irrational. The agents in question may be deductively fallible, have incoherent credences, limited representational capacities, and fail to maximise expected utility for all but a limited class of gambles. (shrink)

How can we think about things in the outside world? There is still no widely accepted theory of how mental representations get their meaning. In light of pioneering research, Nicholas Shea develops a naturalistic account of the nature of mental representation with a firm focus on the subpersonal representations that pervade the cognitive sciences.

Nick Shea’s Representation in Cognitive Science commits him to representations in perceptual processing that are about probabilities. This commentary concerns how to adjudicate between this view and an alternative that locates the probabilities rather in the representational states’ associated “attitudes”. As background and motivation, evidence for probabilistic representations in perceptual processing is adduced, and it is shown how, on either conception, one can address a specific challenge Ned Block has raised to this evidence.

Despite its centrality in the philosophy of cognitive science, there has been little prior philosophical work engaging with the notion of representation in contemporary NLP practice. This paper attempts to fill that lacuna: drawing on ideas from cognitive science, I introduce a framework for evaluating the representational claims made about components of neural NLP models, proposing three criteria with which to evaluate whether a component of a model represents a property and operationalising these criteria using probing classifiers, a popular (...) analysis technique in NLP (and deep learning more broadly). The project of operationalising a philosophically-informed notion of representation should be of interest to both philosophers of science and NLP practitioners. It affords philosophers a novel testing-ground for claims about the nature of representation, and helps NLPers organise the large literature on probing experiments, suggesting novel avenues for empirical research. (shrink)

In this paper, we defend a novel, multidimensional account of representational unification, which we distinguish from integration. The dimensions of unity are simplicity, generality and scope, non-monstrosity, and systematization. In our account, unification is a graded property. The account is used to investigate the issue of how research traditions contribute to representational unification, focusing on embodied cognition in cognitive science. Embodied cognition contributes to unification even if it fails to offer a grand unification of cognitive science. The study of this (...) failure shows that unification, contrary to what defenders of mechanistic explanation claim, is an important mechanistic virtue of research traditions. (shrink)

The ontic conception of explanation is predicated on the proposition that “explanation is a relation between real objects in the world” and hence, according to this approach, scientific explanation cannot take place absent such a premise. Despite the fact that critics have emphasized several drawbacks of the ontic conception, as for example its inability to address the so-called “abstract explanations”, the debate is not settled and the ontic view can claim to capture cases of explanation that are non-abstract, such as (...) causal relations between events. However, by eliminating the distinction between abstract and non-abstract explanations, it follows that ontic and epistemic proposals can no longer contend to capture different cases of explanation and either all are captured by the ontic view or all are captured by the epistemic view. On closer inspection, it turns out that the ontic view deals with events that fall outside the scientists’ scope of observation and that it does not accommodate common instances of explanation such as explanations from false propositions and hence it cannot establish itself as the dominant philosophical stance with respect to explanation. On the contrary, the epistemic conception does account for almost all episodes of explanation and can be described as a relation between representations, whereby the explanans transmit information to the explanandum and that this information can come, dependent on context, in the form of any of the available theories of explanation (law-like, unificatory, causal and non-causal). The range of application of the ontic view thus is severely restricted to trivial cases of explanation that come through direct observation of the events involved in an explanation and explanation is to be mostly conceived epistemically. (shrink)

Many philosophers have understood the representational dimension of affective states along the model of sense-perceptual experiences, even claiming the relevant affective experiences are perceptual experiences. This paper argues affective experiences involve a kind of personal level affective representation disanalogous from the representational character of perceptual experiences. The positive thesis is that affective representation is a non-transparent, non-sensory form of evaluative representation, whereby a felt valenced attitude represents the object of the experience as minimally good or bad, and (...) one experiences that evaluative standing as having the power to causally motivate the relevant attitude. I show this view can make sense of distinctive features of affective experiences, such as their valence and connection to value in a way which moves beyond current evaluativist views of affect. (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)

In this article, network science is discussed from a methodological perspective, and two central theses are defended. The first is that network science exploits the very properties that make a system complex. Rather than using idealization techniques to strip those properties away, as is standard practice in other areas of science, network science brings them to the fore, and uses them to furnish new forms of explanation. The second thesis is that network representations are particularly helpful in explaining the properties (...) of non-decomposable systems. Where part-whole decomposition is not possible, network science provides a much-needed alternative method of compressing information about the behavior of complex systems, and does so without succumbing to problems associated with combinatorial explosion. The article concludes with a comparison between the uses of network representation analyzed in the main discussion, and an entirely distinct use of network representation that has recently been discussed in connection with mechanistic modeling. (shrink)

Structural representations are increasingly popular in philosophy of cognitive science. A key virtue they seemingly boast is that of meeting Ramsey's job description challenge. For this reason, structural representations appear tailored to play a clear representational role within cognitive architectures. Here, however, I claim that structural representations do not meet the job description challenge. This is because even our most demanding account of their functional profile is satisfied by at least some receptors, which paradigmatically fail the job description challenge. Hence, (...) the functional profile typically associated with structural representations does not identify representational posits. After a brief introduction, I present, in the second section of the paper, the job description challenge. I clarify why receptors fail to meet it and highlight why, as a result, they should not be considered representations. In the third section I introduce what I take to be the most demanding account of structural representations at our disposal, namely Gładziejewski's account. Provided the necessary background, I turn from exposition to criticism. In the first half of the fourth section, I equate the functional profile of structural representations and receptors. To do so, I show that some receptors boast, as a matter of fact, all the functional features associated with structural representations. Since receptors function merely as causal mediators, I conclude structural representations are mere causal mediators too. In the second half of the fourth section I make this conclusion intuitive with a toy example. I then conclude the paper, anticipating some objections my argument invites. (shrink)

Many philosophers and psychologists have attempted to elucidate the nature of mental representation by appealing to notions like isomorphism or abstract structural resemblance. The ‘structural representations’ that these theorists champion are said to count as representations by virtue of functioning as internal models of distal systems. In his 2007 book, Representation Reconsidered, William Ramsey endorses the structural conception of mental representation, but uses it to develop a novel argument against representationalism, the widespread view that cognition essentially involves (...) the manipulation of mental representations. Ramsey argues that although theories within the ‘classical’ tradition of cognitive science once posited structural representations, these theories are being superseded by newer theories, within the tradition of connectionism and cognitive neuroscience, which rarely if ever appeal to structural representations. Instead, these theories seem to be explaining cognition by invoking so-called ‘receptor representations’, which, Ramsey claims, aren’t genuine representations at all—despite being called representations, these mechanisms function more as triggers or causal relays than as genuine stand-ins for distal systems. I argue that when the notions of structural and receptor representation are properly explicated, there turns out to be no distinction between them. There only appears to be a distinction between receptor and structural representations because the latter are tacitly conflated with the ‘mental models’ ostensibly involved in offline cognitive processes such as episodic memory and mental imagery. While structural representations might count as genuine representations, they aren’t distinctively mental representations, for they can be found in all sorts of non-intentional systems such as plants. Thus to explain the kinds of offline cognitive capacities that have motivated talk of mental models, we must develop richer conceptions of mental representation than those provided by the notions of structural and receptor representation. (shrink)

Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As (...) a result, we should reject these claims, and lay the foundations of decision theory on firmer ground. (shrink)

I argue that it is possible and useful for moral philosophy to provide surveyable representations of moral vocabulary. I proceed in four steps. First, I present two dominant interpretations of the concept “surveyable representation”. Second, I use these interpretations as a background against which I present my own interpretation. Third, I use my interpretation to support the claim that Wittgenstein’s “Lecture on Ethics” counts as an example of a surveyable representation. I conclude that, since the lecture qualifies as (...) a surveyable representation, it is possible to provide surveyable representations of moral vocabulary. Fourth, I argue that it is useful for contemporary moral philosophy to provide surveyable representations, because it may help to dissolve problems in current debates. I provide an example of such a debate, namely, the debate between cognitivists and non-cognivitists. (shrink)

This dissertation argues that mental representation is identical to phenomenal consciousness, and everything else that appears to be both mental and a matter of representation is not genuine mental representation, but either in some way derived from mental representation, or a case of non-mental representation.

This paper engages critically with anti-representationalist arguments pressed by prominent enactivists and their allies. The arguments in question are meant to show that the “as-such” and “job-description” problems constitute insurmountable challenges to causal-informational theories of mental content. In response to these challenges, a positive account of what makes a physical or computational structure a mental representation is proposed; the positive account is inspired partly by Dretske’s views about content and partly by the role of mental representations in contemporary cognitive (...) scientific modeling. (shrink)

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

This is a chapter from my introductory book *Perception* covering the representational view of experience. I use the Ramsey-Lewis method to define the theoretical term "experiential representation". I clarify and discuss various questions for representationalists, for instance, "how rich is the content of experience?" and "is the content of visual experience singular or general?" Finally, I address some objections to representationalism - in particular, that it cannot explain perceptual presence (John Campbell), and that it cannot explain the "laws of (...) appearance" (constraints on how things can appear). (shrink)

Many debates in philosophy focus on whether folk or scientific psychological notions pick out cognitive natural kinds. Examples include memory, emotions and concepts. A potentially interesting type of kind is: kinds of mental representations (as opposed, for example, to kinds of psychological faculties). In this chapter we outline a proposal for a theory of representational kinds in cognitive science. We argue that the explanatory role of representational kinds in scientific theories, in conjunction with a mainstream approach to explanation in cognitive (...) science, suggest that representational kinds are multi-level. This is to say that representational kinds’ properties cluster at different levels of explanation and allow for intra- and inter-level projections. (shrink)

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)

The goal of this paper is to present some advantages of the representational and computational theories of mind when compared to other views, especially behaviorism. The idea is that representational and computational theories allow us to conceive propositional attitudes in a way that preserves two essential features we take them to have in common sense psychological explanations: semantic evaluability and causal efficacy. Behaviorism reconceives mental states in a way that doesn’t preserve these essential features. In so doing, it makes a (...) mystery of the success of common sense psychology. I illustrate some of the difficulties that behaviorism faces by considering and criticizing Wittgenstein’s approach to linguistic understanding. The upshot is that representational and computational theories of mind do a better job at vindicating common sense psychology, and so are to be preferred when compared to behaviorism. (shrink)

Cognitive representations are typically analysed in terms of content, vehicle and format. While current work on formats appeals to intuitions about external representations, such as words and maps, in this paper we develop a computational view of formats that does not rely on intuitions. In our view, formats are individuated by the computational profiles of vehicles, i.e., the set of constraints that fix the computational transformations vehicles can undergo. The resulting picture is strongly pluralistic, it makes space for a variety (...) of different formats, and is intimately tied to the computational approach to cognition in cognitive science and artificial intelligence. (shrink)

In the pair of articles of which this is the first, I shall present a set of problems and philosophical proposals that have in recent years been associated with the term “relativism”. All these problems and proposals concern the question of how we should represent thought and speech about certain topics. The main issue here is whether we should model such mental states or linguistic acts as involving representational contents that are absolutely correct or incorrect, or whether, alternatively, their correctness (...) should be thought of as varying with some (more or less surprising) factor. In this, first, article, I shall discuss the general issue of relativism about representational content. I shall claim that there are legitimate ways of attributing contents that are absolute truth-bearers, and there are also equally legitimate ways of attributing relativistic representational contents. In the companion piece “Relativism 2: Semantic Content”, I look in more detail at the more specific question whether semantic contents (i.e. the contents assigned to linguistic utterances in the semantics of natural language) should be construed in an absolutist or a relativist way. (shrink)

The idea that there are representations with a double direction of fit has acquired a pride of place in contemporary debates on the ontology of institutions. This paper will argue against the very idea of anything at all having both directions of fit. There is a simple problem which has thus far gone unnoticed. The suggestion that there are representations with both directions of fit amounts to a suggestion that, in cases of discrepancy between a representation and the world, (...) both should change—the representation and the world. But that would merely amount to another discrepancy, and so both should change again, ad infinitum. The paper will first elucidate the notion of a “direction of fit” and clarify how the criticism to be presented here differs from earlier criticisms (Section 1).The next section sheds some light on why and how acts and attitudes with both directions of fit have seemed to play a part in explaining the existence of institutional reality (Section 2). The next sections present the argument against any representations with both directions of fit, relying on a normative understanding of the distinction. The argument will have three steps (Sections 3, 4, and 5). The section that follows shows that the criticism also applies to the dispositional understanding of the notion of a direction of fit (Section 6), and then the paper asks whether a third kind of reading would be available (Section 7) and whether the infallibility of the relevant representations would be of help (Section 8). Finally, the paper assesses briefly the consequences of dropping the notion of two directions of fit (Section 9). (shrink)

Arguably the most foundational principle in perception research is that our experience of the world goes beyond the retinal image; we perceive the distal environment itself, not the proximal stimulation it causes. Shape may be the paradigm case of such “unconscious inference”: When a coin is rotated in depth, we infer the circular object it truly is, discarding the perspectival ellipse projected on our eyes. But is this really the fate of such perspectival shapes? Or does a tilted coin retain (...) an elliptical appearance even when we know it’s circular? This question has generated heated debate from Locke and Hume to the present; but whereas extant arguments rely primarily on introspection, this problem is also open to empirical test. If tilted coins bear a representational similarity to elliptical objects, then a circular coin should, when rotated, impair search for a distal ellipse. Here, nine experiments demonstrate that this is so, suggesting that perspectival shapes persist in the mind far longer than traditionally assumed. Subjects saw search arrays of three-dimensional “coins,” and simply had to locate a distally elliptical coin. Surprisingly, rotated circular coins slowed search for elliptical targets, even when subjects clearly knew the rotated coins were circular. This pattern arose with static and dynamic cues, couldn’t be explained by strategic responding or unfamiliarity, generalized across shape classes, and occurred even with sustained viewing. Finally, these effects extended beyond artificial displays to real-world objects viewed in naturalistic, full-cue conditions. We conclude that objects have a remarkably persistent dual character: their objective shape “out there,” and their perspectival shape “from here.”. (shrink)

This chapter discusses recent attempts to clarify the notion of practical representation and its theoretical fruitfulness. The ultimate goal is not just to show that intellectualists are on good grounds when they appeal to practical representation in their theories of know-how. Rather, it is to argue that ​ any plausible theory of skill and know-how has to appeal to the notion of practical representation developed here. §1 explains the notion of a mode of presentation and introduces practical (...) modes of presentation. §2 illustrates practical representation by discussing models of motor control in current theories of sensori-motor psychology; §3 puts forward an argument for positing practical representation. §4 goes from practical non-conceptual representations to practical conceptual representations — to practical concepts. §5 concludes. (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)

The main task of this paper is to understand if and how static images like photographs can represent and/or depict temporal extension (duration). In order to do this, a detour will be necessary to understand some features of the nature of photographic representation and depiction in general. This important detour will enable us to see that photographs (can) have a narrative content, and that the skilled photographer can 'tell a story' in a very clear sense, as well as control (...) and guide the attention of the spectator of the photograph. The understanding and defence of this claim is a secondary aim of this paper, and it will then allow us to provide a good treatment of the particular case of photographic representation and depiction of temporal extension. (shrink)

A straightforward way of thinking about perception is in terms of perceptual representation. Perception is the construction of perceptual representations that represent the world correctly or incorrectly. This way of thinking about perception has been questioned recently by those who deny that there are perceptual representations. This article examines some reasons for and against the concept of perceptual representation and explores some potential ways of resolving this debate. Then it analyzes what perceptual representations may be: if they attribute (...) properties to entities, what are these attributed properties, and what are the entities they are attributed to. (shrink)

This paper begins with a puzzle regarding Lewis' theory of radical interpretation. On the one hand, Lewis convincingly argued that the facts about an agent's sensory evidence and choices will always underdetermine the facts about her beliefs and desires. On the other hand, we have several representation theorems—such as those of (Ramsey 1931) and (Savage 1954)—that are widely taken to show that if an agent's choices satisfy certain constraints, then those choices can suffice to determine her beliefs and desires. (...) In this paper, I will argue that Lewis' conclusion is correct: choices radically underdetermine beliefs and desires, and representation theorems provide us with no good reasons to think otherwise. Any tension with those theorems is merely apparent, and relates ultimately to the difference between how 'choices' are understood within Lewis' theory and the problematic way that they're represented in the context of the representation theorems. For the purposes of radical interpretation, representation theorems like Ramsey's and Savage's just aren't very relevant after all. (shrink)

I reply to criticisms from King and Soames and critically examine two aspects of current orthodoxy about propositions: that they are representational and that they are structured. I argue that (especially once one gives up on intrinsically representational propositions) there is no good reason to think that propositions have representational properties, and distinguish a few different senses in which propositions might be structured, expressing some skepticism about the more ambitious ones.

Much recent cognitive neuroscientific work on body knowledge is representationalist: “body schema” and “body images”, for example, are cerebral representations of the body (de Vignemont 2009). A framework assumption is that representation of the body plays an important role in cognition. The question is whether this representationalist assumption is compatible with the variety of broadly situated or embodied approaches recently popular in the cognitive neurosciences: approaches in which cognition is taken to have a ‘direct’ relation to the body and (...) to the environment. A “direct” relation is one where the boundaries between the body and the head, or between the environment and the animal are not theoretically important in the understanding of cognition. These boundaries do not play a theoretically privileged role in cognitive explanations of behavior. But representationalism appears to put a representational veil between the locus of cognition and that which is represented, making cognitive relations to the body and to the environment be indirect, with a high associated computational load. For this reason, direct approaches have tried to minimize the use of internal representations (Suchman 1987; Barwise 1987; Agre and Chapman 1987; Brooks 1992; Thelen and Smith 1994; van Gelder 1995; Port and van Gelder 1995; Clark 1997, 1999; Rupert 2009, p. 180). Does a cognitive neuroscience committed to direct relations rule out a representationalist approach to body knowledge? Or is direct representationalism possible? (shrink)

In this work, we consider the problem of the approximate hedging of a contingent claim in the minimum mean square deviation criterion. A theorem on martingaỉe representation in the case of discrete time and an application of obtained result for semi-continous market model are given.

Cognition is commonly taken to be computational manipulation of representations. These representations are assumed to be digital, but it is not usually specified what that means and what relevance it has for the theory. I propose a specification for being a digital state in a digital system, especially a digital computational system. The specification shows that identification of digital states requires functional directedness, either for someone or for the system of which it is a part. In the case or digital (...) representations, to be a token of a representational type, where the function of the type is to represent. [An earlier version of this paper was discussed in the web-conference "Interdisciplines" https://web.archive.org/web/20100221125700/http://www.interdisciplines.org/adaptation/papers/7 ]. (shrink)

Epistemic justifications for democracy have been offered in terms of two different aspects of decision-making: voting and deliberation, or ‘votes’ and ‘talk.’ The Condorcet Jury Theorem is appealed to as a justification in terms votes, and the Hong-Page “Diversity Trumps Ability” result is appealed to as a justification in terms of deliberation. Both of these, however, are most plausibly construed as models of direct democracy, with full and direct participation across the population. In this paper, we explore how these results (...) hold up if we vary the model so as to reflect the more familiar democratic structure of a representative hierarchy. We first recount extant analytic work that shows that representation inevitably weakens the voting results of the Condorcet Jury Theorem, but we question the ability of that result to shine light on real representative systems. We then show that, when we move from votes to talk, as modeled in Hong-Page, representation holds its own and even has a slight edge. (shrink)

Neural structural representations are cerebral map- or model-like structures that structurally resemble what they represent. These representations are absolutely central to the “cognitive neuroscience revolution”, as they are the only type of representation compatible with the revolutionaries’ mechanistic commitments. Crucially, however, these very same commitments entail that structural representations can be observed in the swirl of neuronal activity. Here, I argue that no structural representations have been observed being present in our neuronal activity, no matter the spatiotemporal scale of (...) observation. My argument begins by introducing the “cognitive neuroscience revolution” (Sect. 1 ) and sketching a prominent, widely adopted account of structural representations (Sect. 2 ). Then, I will consult various reports that describe our neuronal activity at various spatiotemporal scales, arguing that none of them reports the presence of structural representations (Sect. 3 ). After having deflected certain intuitive objections to my analysis (Sect. 4 ), I will conclude that, in the absence of neural structural representations, representationalism and mechanism can’t go together, and so the “cognitive neuroscience revolution” is forced to abandon one of its commitments (Sect. 5 ). (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways (...) in which a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

We present a cognitive-physicalist account of phenomenal consciousness. We argue that phenomenal concepts do not differ from other types of concepts. When explaining the peculiarities of conscious experience, the right place to look at is sensory/ perceptual representations and their interaction with general conceptual structures. We utilize Jerry Fodor’s psycho- semantic theory to formulate our view. We compare and contrast our view with that of Murat Aydede and Güven Güzeldere, who, using Dretskean psychosemantic theory, arrived at a solution different from (...) ours in some ways. We have suggested that the representational atomism of certain sensory experiences plays a central role in reconstructing the epistemic gap associated with conscious experience, still, atomism is not the whole story. It needs to be supple- mented by some additional principles. We also add an account of introspection, and suggest some cognitive features that might distinguish representational atoms with phenomenal character from those without it. (shrink)

The primary justification for mathematical structuralism is its capacity to explain two observations about mathematical objects, typically natural numbers. Non-eliminative structuralism attributes these features to the particular ontology of mathematics. I argue that attributing the features to an ontology of structural objects conflicts with claims often made by structuralists to the effect that their structuralist theses are versions of Quine’s ontological relativity or Putnam’s internal realism. I describe and argue for an alternative explanation for these features which instead explains the (...) attributes them to the mathematical practice of representing numbers using more concrete tokens, such as sets, strokes and so on. (shrink)

Kant's most sustained discussion of obscure representations can be found in the first book of his Anthropology from a Pragmatic Point of View. What is puzzling is that in the middle of the section devoted to the topic, Kant asserts that “because this field can only be perceived in his passive side as a play of sensations, the theory of obscure representations belongs only to physiological anthropology, and so it is properly disregarded here.” So, do obscure representations belong to pragmatic (...) anthropology or not? Kant's official position is that they do not, yet the textual evidence—we find discussions of obscure representations in 20 years of his work on pragmatic anthropology—suggests that they do, in fact, belong here. Most of the literature on obscure representations focuses on their contribution to cognition and none has clarified what it would mean to assume a “pragmatic point of view” on obscure representations, and to study them in the context of pragmatic anthropology. My aim in this paper is to provide such clarification, focusing on Kant's discussion of our propensity to “play with” obscure representations and what he calls our “art of obscuring.”. (shrink)

The Enhanced Indispensability Argument appeals to the existence of Mathematical Explanations of Physical Phenomena to justify mathematical Platonism, following the principle of Inference to the Best Explanation. In this paper, I examine one example of a MEPP—the explanation of the 13-year and 17-year life cycle of magicicadas—and argue that this case cannot be used defend the EIA. I then generalize my analysis of the cicada case to other MEPPs, and show that these explanations rely on what I will call ‘optimal (...) representations’, which are representations that capture all that is relevant to explain a physical phenomenon at a specified level of description. In the end, because the role of mathematics in MEPPs is ultimately representational, they cannot be used to support mathematical Platonism. I finish the paper by addressing the claim, advanced by many EIA defendants, that quantification over mathematical objects results in explanations that have more theoretical virtues, especially that they are more general and modally stronger than alternative explanations. I will show that the EIA cannot be successfully defended by appealing to these notions. (shrink)

The democratic criteria for representation in the European Union are complex since its representation involves several delegation mechanisms and institutions. This paper develops institutional design principles for the representation of peoples and individuals and suggests reform options of the European Union on the basis of the theory of multilateral democracy. In particular, it addresses how the equality of individuals can be realised in EU representation while guaranteeing the mutual recognition of peoples. Unlike strict intergovernmental institutions, the (...) EU requires an additional and independent legislative chamber in which individuals are directly represented. However, strict equality of individuals cannot be the guiding principle for this chamber. In order to avoid the overruling of peoples through supranational majorities, it is necessary to bind the chamber's composition by a principle of degressive proportionality. The representation of peoples, on the other hand, needs to be connected to their domestic democratic institutions. (shrink)