In this paper we give new criterions for left distributive posets to have neatest representations. We also illustrate a construction that would embed left distributive posets into representable semilattices.

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)

This book is a study of the second-edition version of the 'Transcendental Deduction', which is one of the most important and obscure sections of Kant's Critique of Pure Reason. By way of a close analysis of the B-Deduction, Adam Dickerson makes the distinctive claim that the Deduction is crucially concerned with the problem of making intelligible the unity possessed by complex representations - a problem that is the representationalist parallel of the semantic problem of the unity of the proposition. Along (...) the way he discusses most of the key themes in Kant's theory of knowledge, including the nature of thought and representation, the notion of objectivity, and the way in which the mind structures our experience of the world. (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)

Interpretation of the classics in political theory seems to go in waves. For a while we had John Locke, the bourgeois thinker. Now we seem to be in a Locke-as-radical-democrat phase. Locke-the-bourgeois had problems of its own, but a radically democratic Locke -- not just the old Locke as liberal democrat but Locke as quasi-Leveller -- strains the interpretative imagination more than most; yet in recent years, several different kinds of argument have been advanced in support of it, both textual (...) and contextual. The most effective argument has proceeded by situating Locke in the context of radical Whig politics in the 1670s and '80s, the struggles over religious toleration and the royal succession, in particular the �Exclusion Crisis� of 1679-81. This contextual argument has been accompanied by various textual interpretations having to do with Locke's conceptions of property, consent, representation, the right of revolution and natural law. Among other things, these are supposed to show that while Locke had nothing explicit to say about the extent of the franchise, the weight of evidence suggests that he would have supported a fairly wide franchise, perhaps even something like the (almost) manhood suffrage advocated by the Levellers (at least according to some, and probably the most convincing, interpretations of their ideas). Most recently, in these pages, Martin Hughes, building on the work of James Tully and Richard Ashcraft in particular, has pushed the argument as far as it can probably go. His argument on taxation and suffrage has provided a motivation here for a wider exploration of Locke's views on representation, consent and the franchise. (shrink)

The posterior parietal cortex (PPC) is the most likely site where egocentric spatial relationships are represented in the brain. PPC cells receive visual, auditory, somaesthetic, and vestibular sensory inputs; oculomotor, head, limb, and body motor signals; and strong motivational projections from the limbic system. Their discharge increases not only when an animal moves towards a sensory target, but also when it directs its attention to it. PPC lesions have the opposite effect: sensory inattention and neglect. The PPC does not seem (...) to contain a “map” of the location of objects in space but a distributed neural network for transforming one set of sensory vectors into other sensory reference frames or into various motor coordinate systems. Which set of transformation rules is used probably depends on attention, which selectively enhances the synapses needed for making a particular sensory comparison or aiming a particular movement. (shrink)

The sense of embodiment is vital for self recognition. An examination of anosognosia for hemiplegia—the inability to recognise that one is paralysed down one side of one’s body—suggests the existence of ‘online’ and ‘offline’ representations of the body. Online representations of the body are representations of the body as it is currently, are newly constructed moment by moment and are directly “plugged into” current perception of the body. In contrast, offline representations of the body are representations of what the body (...) is usually like, are relatively stable and are constructed from online representations. This distinction is supported by an analysis of phantom limb—the feeling that an amputated limb is still present—phenomena. Initially it seems that the sense of embodiment may arise from either of these types of representation; however, an integrated representation of the body seems to be required. It is suggested information from vision and emotions is involved in generating these representations. A lack of access to online representations of the body does not necessarily lead to a loss in the sense of embodiment. An integrated offline representation of the body could account for the sense of embodiment and perform the functions attributed to this sense. (shrink)

Claims pertaining to understanding are made in a variety of contexts and ways. As a result, few in the philosophical literature have made an attempt to precisely characterize the state that is y understanding x. This paper builds an account that does just that. The account is motivated by two main observations. First, understanding x is somehow related to being able to manipulate x. Second, understanding is a mental phenomenon, and so what manipulations are required to be an understander must (...) only be mental manipulations. Combining these two insights, the paper builds an account (URM) of understanding as a certain representational capacity—specifically, understanding x involves possessing a representation of x that could be manipulated in useful ways. By tying understanding to representation, the account correctly identifies that understanding is a fundamentally cognitive achievement. However, by also demanding that which representations count as understanding-conferring be determined by their practical effects, URM captures the insight that understanding is vitally connected to practice. URM is fully general, and can apply equally well to understanding states of affairs, understanding events, and even understanding people and works of art. The ultimate test of URM is its applicability in actual scientific and philosophical discourse. To that end the paper discusses the importance of understanding in the philosophy of science, psychology, and computer science. (shrink)

Criteria of adequacy for scientific representation of the phenomena pertain to accuracy and truth. But that representation is selective and may require distortion even in the selected parameters; this point is intimately connected with the fact that representation is intentional, and its adequacy relative to its particular purpose. Since observation and measurement are perspectival and the appearances to be saved are perspectival measurement outcomes, the question whether this “saving” is an explanatory relation provides a new focus for (...) the realist/antirealist debate. The Born rule and von Neumann's “collapse” postulate in quantum mechanics provide a telling case for this question in recent physics. (shrink)

The study of neuronal specialisation in different cognitive and perceptual domains is important for our understanding of the human brain, its typical and atypical development, and the evolutionary precursors of cognition. Central to this understanding is the issue of numerical representation, and the question of whether numbers are represented in an abstract fashion. Here we discuss and challenge the claim that numerical representation is abstract. We discuss the principles of cortical organisation with special reference to number and also (...) discuss methodological and theoretical limitations that apply to numerical cognition and also to the field of cognitive neuroscience in general. We argue that numerical representation is primarily non-abstract and is supported by different neuronal populations residing in the parietal cortex. (shrink)

The representation theorems of expected utility theory show that having certain types of preferences is both necessary and sufficient for being representable as having subjective probabilities. However, unless the expected utility framework is simply assumed, such preferences are also consistent with being representable as having degrees of belief that do not obey the laws of probability. This fact shows that being representable as having subjective probabilities is not necessarily the same as having subjective probabilities. Probabilism can be defended on (...) the basis of the representation theorems only if attributions of degrees of belief are understood either antirealistically or purely qualitatively, or if the representation theorems are supplemented by arguments based on other considerations (simplicity, consilience, and so on) that single out the representation of a person as having subjective probabilities as the only true representation of the mental state of any person whose preferences conform to the axioms of expected utility theory. (shrink)

La philosophie Ricœurienne de la religion suit l’anthropologie kantienne, la bonté originaire et le mal radical de la nature humaine. Ricœur, toutefois, considère le problème du mal plus profondément que Kant. Il cherche alors, dans le kérygme religieux, la motivation plus profonde que le motif autonome, alors que Kant, par l’interprétation allégorique, s’adonne à la démystication de la religion historique. Le Dieu nommé s’addresse, au-delà du Dieu conceptuel kantien, au sens super-abondant au millieu du non-sens de la vie et ouvre (...) l’horizon de théonomie. Celle-ci fait du commandement de l’amour un appel non-violent; l’amour qui réunit la forme universelle et la matière particulière de la norme morale. (shrink)

The purpose of this paper is to demonstrate that narrative representations can provide knowledge in virtue of their narrativity, regardless of their truth value. I set out the question in section 1, distinguishing narrative cognitivism from aesthetic cognitivism and narrative representations from non-narrative representations. Sections 2 and 3 argue that exemplary narratives can provide lucid phenomenological knowledge, which appears to meet both the epistemic and narrativity criteria for the narrative cognitivist thesis. In section 4, I turn to non-narrative representation, (...) focusing on lyric poetry as presenting a disjunctive objection: either lucid phenomenological knowledge can be reduced to identification and fails to meet the epistemic criterion, or lucid phenomenological knowledge is provided in virtue of aesthetic properties and fails to meet the narrativity criterion. I address both of these problems in sections 5 and 6, and I close with a tentative suggestion as to how my argument for narrative c.. (shrink)

This paper proposes a novel distinction between accounts of scientific representation: it distinguishes thin accounts from thick accounts. Thin accounts focus on the descriptive aspect of representation whereas thick accounts acknowledge the evaluative aspect of representation. Thin accounts focus on the question of what a representation as such is. Thick accounts start from the question of what an adequate representation is. In this paper, I give two arguments in favor of a thick account, the Argument (...) of the Epistemic Aims of Modeling and the Argument of the Normativity of the Practice of Modeling. I also discuss possible objections to a thick account: the Argument from Misrepresentation and the Objections from Model Testing. The conclusion will be that the arguments on balance support a thick account of representation. (shrink)

A fundamental aspect of human cognition is the ability to parse our constantly unfolding experience into meaningful representations of dynamic events and to communicate about these events with others. How do we communicate about events we have experienced? Influential theories of language production assume that the formulation and articulation of a linguistic message is preceded by preverbal apprehension that captures core aspects of the event. Yet the nature of these preverbal event representations and the way they are mapped onto language (...) are currently not well understood. Here, we review recent evidence on the link between event conceptualization and language, focusing on two core aspects of event representation: event roles and event boundaries. Empirical evidence in both domains shows that the cognitive representation of events aligns with the way these aspects of events are encoded in language, providing support for the presence of deep homologies between linguistic and cognitive event structure. (shrink)

I oppose the popular view that the phenomenal character of perceptual experience consists in the subject's representing the (putative) perceived object as being so-and-so. The account of perceptual experience I favor instead is a version of the "Theory of Appearing" that takes it to be a matter of the perceived object's appearing to one as so-and-so, where this does not mean that the subject takes or believes it to be so-and-so. This plays no part in my criticisms of Representationalism. I (...) mention it only to be up front as to where I stand. My criticism of the Representationalist position is in sections. (1) There is no sufficient reason for positing a representative function for perceptual experience. It doesn't seem on the face of it to be that, and nothing serves in place of such seeming. (2) Even if it did have such a function, it doesn't have the conceptual resources to represent a state of affairs. (3) Even if it did, it is not suited to represent, e.g., a physical property of color. (4) Finally, even if I am wrong about the first three points, it is still impossible for the phenomenal character of the perceptual experience to consist in it's representing what it does. My central argument for this central claim of the paper is that it is metaphysically, de re possible that one have a certain perceptual experience without it's presenting any state of affairs. And since all identities hold necessarily, this identity claim fails. (shrink)

In modern, Western societies the purpose of schooling is to ensure that school-goers acquire knowledge of pre-existing practices, events, entities and so on. The knowledge that is learned is then tested to see if the learner has acquired a correct or adequate understanding of it. For this reason, it can be argued that schooling is organised around a representational epistemology: one which holds that knowledge is an accurate representation of something that is separate from knowledge itself. Since the object (...) of knowledge is assumed to exist separately from the knowledge itself, this epistemology can also be considered ‘spatial.’ In this paper we show how ideas from complexity have challenged the spatial epistemology’ of representation and we explore possibilities for an alternative ‘temporal’ understanding of knowledge in its relationship to reality. In addition to complexity, our alternative takes its inspiration from Deweyan ‘transactional realism’ and deconstruction. We suggest that ‘knowledge’ and ‘reality’ should not be understood as separate systems which somehow have to be brought into alignment with each other, but that they are part of the same emerging complex system which is never fully ‘present’ in any (discrete) moment in time. This not only introduces the notion of time into our understanding of the relationship between knowledge and reality, but also points to the importance of acknowledging the role of the ‘unrepresentable’ or ‘incalculable’. With this understanding knowledge reaches us not as something we receive but as a response, which brings forth new worlds because it necessarily adds something (which was not present anywhere before it appeared) to what came before. This understanding of knowledge suggests that the acquisition of curricular content should not be considered an end in itself. Rather, curricular content should be used to bring forth that which is incalculable from the perspective of the present. The epistemology of emergence therefore calls for a switch in focus for curricular thinking, away from questions about presentation and representation and towards questions about engagement and response. (shrink)

This paper concerns voting with logical consequences, which means that anybody voting for an alternative x should vote for the logical consequences of x as well. Similarly, the social choice set is also supposed to be closed under logical consequences. The central result of the paper is that, given a set of fairly natural conditions, the only social choice functions that satisfy social logical closure are oligarchic (where a subset of the voters are decisive for the social choice). The set (...) of conditions needed for the proof include a version of Independence of Irrelevant Alternatives that also plays a central role in Arrow's impossibility theorem. (Published Online July 11 2006) Footnotes1 Much of this article was written while the author was a fellow at the Swedish Collegium for Advanced Study in the Social Sciences (SCASSS) in Uppsala. I want to thank the Collegium for providing me with excellent working conditions. Wlodek Rabinowicz and other fellows gave me valuable comments at a seminar at SCASSS when an early version of the paper was presented. I also want to thank Luc Bovens, Franz Dietrich, Christian List and an anonymous referee for their excellent comments on a later version. The final version was prepared during a stay at Oxford University for which I am grateful to the British Academy. (shrink)

Criticisms and rejections of representationalism are increasingly popular in 4E cognitive science, and especially in radical enactivism. But by overfocusing our attention on the debate between radical enactivism and classical representationalism, we might miss the woods for the trees, in at least two respects: first, by neglecting the relevance of other theoretical alternatives about representationalism in cognitive science; and second by not seeing how much REC and classical representationalism are in agreement concerning basic and problematic issues dealing with mental content (...) and intentionality. In order to expand and exemplify these ideas, this paper presents two heterodox positions on intentionality and on the relations between content and representation. Special attention is paid to the way REC is rejecting these positions: I argue that this rejection reveals common assumptions with classical representationalism, but also undermines the coherence of REC’s conception of intentionality. (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)

Hegel's theory of tragedy has polarized critics. In the past, many philosophers have claimed that Hegel's theory of tragedy removes Kant's critical insights and returns to pre-critical metaphysics. More recently, several have argued that Hegel does not break faith with tragic experience but allows philosophy to be transformed by tragedy. In this paper I examine the strength of this revised position. First I show that it identifies Hegel's insightful critique of Kant's theoretical assumptions. Yet I then argue that it fails (...) to note the practical importance of Kant's separation of knowledge and aesthetics. I propose an alternative approach to tragedy that builds from the revised view and yet maintains the autonomy of aesthetics. Tragedy represents an action, a set of events that are internally unified and yet cannot be reduced to theory. This is to say that tragedy confronts us with an aesthetic sphere of making and doing that, while constrained, is incessantly open and free. (shrink)

Information and representation are thought to be intimately related. Representation, in fact, is commonly considered to be a special kind of information. It must be a _special_ kind, because otherwise all of the myriad instances of informational relationships in the universe would be representational -- some restrictions must be placed on informational relationships in order to refine the vast set into those that are truly representational. I will argue that information in this general sense is important to genuine (...) agents, but that it is a blind alley with regard to the attempt to understand representation. On the other hand, I will also argue that a different, quite non-standard, form of information is central to genuine representation. First I turn to some of the reasons why information as usually considered is the wrong category for understanding representation; second to an alternative model of representation -- one that is naturally emergent in autonomous agents, and that does involve information, but not in any standard form; and third I return to standard notions of informational relationships and show what they are in fact useful for. (shrink)

This essay addresses ethical aspects of the design and use of virtual reality (VR) systems, focusing on the behavioral options made available in such systems and the manner in which reality is represented or simulated in them. An assessment is made of the morality of immoral behavior in virtual reality, and of the virtual modeling of such behavior. Thereafter, the ethical aspects of misrepresentation and biased representation in VR applications are discussed.

Realists regarding scientific knowledge – those who think that our best scientific representations truly describe both observable and unobservable aspects of the natural world – have special need of a notion of approximate truth. Since theories and models are rarely considered true simpliciter, the realist requires some means of making sense of the claim that they may be false and yet close to the truth, and increasingly so over time. In this paper, I suggest that traditional approaches to approximate truth (...) are insensitive to two crucial features of scientific knowledge, and that for each of these, analogies between representational practices in the sciences and in art prove useful to understanding how this situation can be remedied. First, I outline two distinct ways in which representations deviate from the truth, commonly referred to as ‘abstraction’ and ‘idealization’. Second, I argue that these practices exemplify different conventions of representation, and that for each, the conditions of approximation relevant to explicating the concept of approximate truth must be understood differently. The concept is thus heterogeneous; approximate truth is a virtue that is multiply realized, relative to different contexts of representation. This understanding is facilitated, I suggest, by considering the distinction between realistic and non-realistic representation in art. (shrink)

This paper is divided in two parts. In part I, I argue against two attempts to naturalise the notion of scientific representation, by reducing it to isomorphism and similarity. I distinguish between the means and the constituents of representation, and I argue that isomorphism and similarity are common means of representation; but that they are not constituents of scientific representation. I look at the prospects for weakened versions of these theories, and I argue that only those (...) that abandon the aim to naturalise scientific representation are likely to be successful. In part II of the paper, I present a deflationary conception of scientific representation, which minimally characterises it by means of two necessary conditions: representation is essentially intentional and it has the capacity to allow surrogate reasoning and inference. I then defend this conception by showing that it successfully meets the objections and difficulties that make its competitors, such as isomorphism and similarity, untenable. In addition the inferential conception explains the success of various means of representation in their appropriate domains, and it sheds light on the truth and accuracy of scientific representations. (shrink)

Maps, notes, descriptions, diagrams, flowcharts, photographs, paintings, and prints, all, in one way or another, manage to be about things or stand for them. This article looks at three ways in which philosophers have explained the way that pictures represent the world. It starts by describing some leading perceptual accounts and then surveys contemporary content and structural alternatives.