Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. How can abstract objects be evaluated as beautiful? Is this related to their visualisations? Using an example from graph theory, this paper argues that, in making aesthetic judgements, mathematicians may be responding to a combination of perceptual properties of visual representations and mathematical properties of abstract structures; the latter seem to carry greater weight. Mathematical beauty thus primarily involves mathematicians’ sensitivity to aesthetics of the abstract.

This paper argues for a realist position in the metaphysics of aesthetic properties. Realist positions about aesthetic properties are few and far between, though sometimes developed by analogy to realism about colours. By contrast, my position is based on a disanalogy between aesthetic properties and colours. Unlike colours, aesthetic properties are perceived as relatively unsteady properties: as powers that objects have to cause a certain experience in the observer. Following on from this observation, I develop a realist account of aesthetic (...) properties as causally efficient powers, analogous to properties like fragility or poisonousness. To show how such a view can be made ontologically respectable, I draw on recent ‘dispositionalist’ accounts of powers in philosophical metaphysics. I then offer two arguments in favour of this view. First, the view matches the phenomenology of aesthetic judgement. Second, the view offers an explanation of how it is that critics can demand agreement with their aesthetic judgements. (shrink)

Aesthetic values give agents reasons to perform not only acts of contemplation, but also acts like editing, collecting, and conserving. Moreover, aesthetic agents rarely operate solo: they conduct their business as integral members of networks of other aesthetic agents. The consensus theory of aesthetic value, namely that an item’s aesthetic value is its power to evoke a finally valuable experience in a suitable spectator, can explain neither the range of acts performed by aesthetic agents nor the social contexts in which (...) they operate. This paper proposes a new theory of aesthetic value specifically to explain facts about the sociality of aesthetic agents. (shrink)

In this chapter, I argue against empiricist positions which claim that empirical evidence can be sufficient to defeasibly justify aesthetic judgements, or judgements about the adequacy of aesthetic judgements, or sceptical judgements about someone's capacity to form adequate aesthetic judgements. First, empirical evidence provides neither inferential, nor non-inferential justification for aesthetic opinions. Second, while empirical evidence may tell us how we do respond aesthetically to artworks, it cannot tell us how we should respond to them. And, third, empirical insights into (...) the irrationality of many of our aesthetic judgements do not warrant the sceptical conclusion that we ought to refrain from forming aesthetic opinions. As a consequence of these limitations to aesthetic empiricism, we should endorse the rationalist position that aesthetic criticism is largely a matter of reasoning and, moreover, a collective undertaking. (shrink)

It is common to distinguish between attributive and predicative goodness. There are good reasons to think that artistic value is a kind of attributive goodness. Surprisingly, however, much debate in philosophical aesthetics has proceeded as though artistic value is a kind of predicative goodness. As I shall argue, recognising that artistic value is attributive goodness has important consequences for a number of debates in aesthetics.

Alfred Hitchcock's Vertigo skilfully continues to stimulate different views of it – hence the volume of writing – different ways of viewing it, different ways of being a viewer of it . One purpose of the piece is to provide a little caution to those students coming to study Vertigo , and Spectatorship, for the first time: not to presume that the film, and by association any film, has one type of spectator. It is through examining various responses to it (...) – rather than presenting one view of it – that we can see perspicaciously that Vertigo has a special capacity for teaching us about the complexity of film spectatorship. This is possibly because Vertigo is so concerned to make the act of viewing an active part of viewing it. (shrink)

David Hume's celebrated essay ‘‘Of the Standard of Taste’’ is the central text for understanding Hume's aesthetic theory, yet an important claim in that essay has received inadequate attention in the literature. Although it is understood that Hume stresses the importance of delicacy of taste, it is less well understood that this delicacy is a delicacy of imagination, which is distinct from a delicacy of perception. Using both the essay and other texts to elucidate this thesis, it appears that Hume's (...) account of taste faces unresolved difficulties in defending a standard of taste. (shrink)

I offer a set of sufficient conditions for beauty, drawing on Parsons and Carlson’s account of ‘functional beauty’. First, I argue that their account is flawed, whilst falling short of...