Experiences of art involve exercise of ordinary cognitive and perceptual capacities but in unique ways. These two features of experiences of art imply the mutual importance of aesthetics and cognitive science. Cognitive science provides empirical and theoretical analysis of the relevant cognitive capacities. Aesthetics thus does well to incorporate cognitive scientific research. Aesthetics also offers philosophical analysis of the uniqueness of the experience of art. Thus, cognitive science does well to incorporate the explanations of aesthetics. This paper explores this general (...) framework of expansionism : a research strategy that suggests that the explanatory goals and resources of both aesthetics and cognitive science should expand to include those of the other. Two relations are considered. First, what is the relation between aesthetics and more traditional cognitive science? Second, what is the relation between aesthetics and new developments in cognitive science that de-emphasize mental representation and emphasize body and action? (shrink)

I argue that maps do not feature predication, as analyzed by Frege and Tarski. I take as my foil (Casati and Varzi, Parts and places, 1999), which attributes predication to maps. I argue that the details of Casati and Varzi’s own semantics militate against this attribution. Casati and Varzi emphasize what I call the Absence Intuition: if a marker representing some property (such as mountainous terrain) appears on a map, then absence of that marker from a map coordinate signifies absence (...) of the corresponding property from the corresponding location. Predication elicits nothing like the Absence Intuition. “F(a)” does not, in general, signify that objects other than a lack property F. On the basis of this asymmetry, I argue that attaching a marker to map coordinates is a different mode of semantic composition than attaching a predicate to a singular term. (shrink)

This paper argues against definitions of depiction in terms of the syntactic and semantic properties of symbol systems. In particular, it is argued that John Kulvicki's definition of depictive symbol systems in terms of relative repleteness, semantic richness, syntactic sensitivity and transparency is susceptible to similar counterexamples as Nelson Goodman's in terms of syntactic density, semantic density and relative repleteness. The general moral drawn is that defining depiction requires attention not merely to descriptive questions about syntax and semantics, but also (...) to foundational questions about what makes it the case that depictions have the syntactic and semantic properties they do. (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.

In "A Restriction for Pictures and Some Consequences for a Theory of Depiction", Journal of Aesthetics and Art Criticism 61, 4 (2003): 381-394, Michael Newall defended a resemblance view of depiction. He concentrated on pictures X involving a perpendicular view of the physical surface of another picture Y, and argued that the actual restrictions on what picture X can depict of Y's physical surface are best explained by a strict resemblance or similarity view. But I show that there are many (...) problems with his approach, so that overall it is no more successful than more standard resemblance views of depiction. (shrink)

Nelson Goodman’s theory of symbol systems expounded in his Languages of Art has been frequently criticized on many counts (cf. list of secondary literature in the entry “Goodman’s Aesthetics” of Stanford Encyclopedia of Philosophy and Sect. 3 below). Yet it exerts a strong influence and is treated as one of the major twentieth-century theories on the subject. While many of Goodman’s controversial theses are criticized, the technical notions he used to formulate them seem to have been treated as neutral tools. (...) One such technical notion is that of the density of symbol systems. This serves to distinguish linguistic symbols from pictorial representations (after Goodman entirely rejected resemblance in that role) and is a crucial part of Goodman’s explanation of what constitutes aesthetic experience (and so indirectly what is art). Thus its significance for Goodman’s theory is fundamental. The aim of this paper is a detailed, logical analysis of this notion. It turns out that Goodman’s definition is highly problematic and cannot be applied to symbol systems in the way Goodman envisaged. To conclude, Goodman’s theory is problematic not just because of its controversial theses but also because of logical problems with the technical notions used at its very core. Hence the controversial claims are not simply contestable, but inaccurately expressed. (shrink)

Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions. Moreover, when they are used inferentially, they are seen as threatening the reliability of proofs. In this paper, I examine certain examples of diagrams that resist this type of dismissive characterization. By presenting two diagrammatic proofs, one from topology and one from algebra, I show that (...) diagrams form genuine notational systems, and I argue that this explains why they can play a role in the inferential structure of proofs without undermining their reliability. I then consider whether diagrams can be essential to the proofs in which they appear. (shrink)

Although traditionally neglected, mathematical diagrams have recently begun to attract attention from philosophers of mathematics. By now, the literature includes several case studies investigating the role of diagrams both in discovery and justification. Certain preliminary questions have, however, been mostly bypassed. What are diagrams exactly? Are there different types of diagrams? In the scholarly literature, the term “mathematical diagram” is used in diverse ways. I propose a working definition that carves out the phenomena that are of most importance for a (...) taxonomy of diagrams in the context of a practice-based philosophy of mathematics, privileging examples from contemporary mathematics. In doing so, I move away from vague, ordinary notions. I define mathematical diagrams as forming notational systems and as being geometric/topological representations or two-dimensional representations. I also examine the relationship between mathematical diagrams and spatiotemporal intuition. By proposing an explication of diagrams, I explain certain controversies in the existing literature. Moreover, I shed light on why mathematical diagrams are so effective in certain instances, and, at other times, dangerously misleading. (shrink)

I argue that emojis are essentially little pictures, rather than words, gestures, expressives, or diagrams. ???? means that the world looks like that, from some viewpoint. I flesh out a pictorial semantics in terms of geometric projection with abstraction and stylization. Since such a semantics delivers only very minimal contents I add an account of pragmatic enrichment, driven by coherence and nonliteral interpretation. The apparent semantic distinction between emojis depicting entities (like ????) and those depicting facial expressions (like ????) I (...) analyze as a difference between truth-conditional and use-conditional pictorial content: ???? depicts what the world of evaluation looks like, while ???? depicts what the utterance context looks like. (shrink)

RÉSUMÉCet article est une défense de la position exposée par Nelson Goodman dans Langages de l'art. Goodman affirme que les images fonctionnent dans des systèmes symboliques denses. La différence entre texte et image ne se situe pas là où nous l'aurions spontanément cherchée : dans l'expérience perceptuelle que nous avons des images. Une telle théorie de la dépiction peut sembler iconoclaste, voire complètement fausse, et ce, parce que nous y voyons à tort une explication de la représentation picturale. Elle offre (...) cependant, rapportée à d'autres intuitions philosophiques qui essaiment ailleurs dans l’œuvre de Goodman, une meilleure compréhension du fonctionnement des images.ABSTRACTIn this paper, I draw unexpected conclusions from Nelson Goodman's views on depiction. Faithful to the symbolic turn of aesthetics in the twentieth century, Goodman argues that pictures are as conventional and natural as scripts. Unlike scripts, however, pictures work in dense symbolic systems. The difference between image and script cannot be found where we would have spontaneously looked: in our perceptual experience of pictures. Obviously, the structural approach which is at stake in Languages of Art is iconoclast; we often consider it surprising, or even absolutely misleading, perhaps because we do not connect the analyses Goodman conducts in his essay with the experience we ordinarily have of pictures. I argue that Goodman's position becomes clearer when it is reduced to a much more modest philosophical purpose: to offer a criterion for discrimination between scripts and pictures. Pictures, unlike scripts, are dense. Of course, that does not explain depiction. However, my account of Goodman's view, when connected to intuitions about cognitive processes that have spread elsewhere in his work, sheds light on the way pictures are connected with the objects they depict. (shrink)

This paper argues, contrary to Fodor’s well-known position, that the iconic and discursive modes of representation are not mutually exclusive categories. It is argued that there exists at least a third kind of representation which blends the semantic properties of icons and the syntactic properties of discourses. We reason that this iconic-discursive genus behaves differently from other representational formats, such as distributed representations or maps, previously put forward as challenging Fodor’s basic distinction. A reflection follows about how this kind of (...) representation impacts on the Fodorian issues for which the original dual distinction was argumentatively instrumental, namely, the kinds of codes and possible inter-code relations accessible to the representational mind. The suggestion is put forward that iconic-discursive representations may facilitate trade-offs between the world and the representational mind, as well as between the differently complex levels of representation that mediate between percepts and concepts. We conclude that such aspects of the computational mind, which until now appeared to be stubbornly resistant with respect to a conciliation of Hume’s empiricism and Fodor’s computationalism, may be more easily accessed and understood taking advantage of the biosemiotics perspective and acknowledging the richness of the biosemiotics codes accessible to cognition. (shrink)

This paper argues, contrary to Fodor’s well-known position, that the iconic and discursive modes of representation are not mutually exclusive categories. It is argued that there exists at least a third kind of representation which blends the semantic properties of icons and the syntactic properties of discourses. We reason that this iconic-discursive genus behaves differently from other representational formats, such as distributed representations or maps, previously put forward as challenging Fodor’s basic distinction. A reflection follows about how this kind of (...) representation impacts on the Fodorian issues for which the original dual distinction was argumentatively instrumental, namely, the kinds of codes and possible inter-code relations accessible to the representational mind. The suggestion is put forward that iconic-discursive representations may facilitate trade-offs between the world and the representational mind, as well as between the differently complex levels of representation that mediate between percepts and concepts. We conclude that such aspects of the computational mind, which until now appeared to be stubbornly resistant with respect to a conciliation of Hume’s empiricism and Fodor’s computationalism, may be more easily accessed and understood taking advantage of the biosemiotics perspective and acknowledging the richness of the biosemiotics codes accessible to cognition. (shrink)

My main objective in this paper is to formulate a view of pictorial realism I call ‘hypothetical verity’. It owes much to John Kulvicki but diverges from his view in an important respect: rather than thinking that realistic pictures are true to our conceptions of things, I hold that they are true to what things would be like if they existed. In addition, I agree with Dominic Lopes that different realisms reflect different aspects of reality, but restate the case without (...) recourse to symbol systems. Together, the twin principles of hypothetical verity and aspectival absolutism constitute a theory of realism able to account for realistic fictional entities, the problem of revelatory realism and images that teach new information. (shrink)