This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations (...) are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience, aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities. (shrink)

This dissertation provides a theory of the nature of aesthetic experiences on the basis of a theory of aesthetic values. It results in the formulation of the following necessary conditions for an experience to be aesthetic: it must consist of a representation of an object and an accompanying feeling; the representation must instantiate an intrinsic value; and the feeling must be the recognition of that value and bestow it on the object. Since representations are of intrinsic value for different reasons, (...) there are different kinds of aesthetic experiences . By means of certain conceptual links, it is possible to extend this account to other aesthetic entities thus enabling the formulation of a general theory of the aesthetic in non-aesthetic terms. In particular, aesthetic values are identical with subjective dispositions to elicit aesthetic experiences under normal conditions. Accordingly, I endorse anti-realism about aesthetic values: their existence, nature and exemplification are mind-dependent, while their ascriptions to objects have genuine truth-values. I back up this account by arguing against the alternative positions that either take aesthetic values to be objective or deny the truth-aptness of their attributions. Furthermore, I put forward a relativist variant of anti-realism according to which ascriptions of different aesthetic values to a particular object are all correct, given that the aesthetic experiences involved are made under normal conditions and concern the same aesthetically nonevaluative features of that object. For there is no specifically aesthetic norm by means of which one of the faultless aesthetic experiences can be picked out as the only appropriate one. That aesthetic values nevertheless show a normative dimension is ensured by their conformity to a general account of values as capacities to satisfy, or dissatisfy, rational desires. (shrink)

According to Hume, experience in observing art is one of the prerequisites for being an ideal art critic. But although Hume extols the value of observing art for the art critic, he says little about the value, for the art critic, of executing art. That is, he does not discuss whether ideal aesthetic judges should have practiced creating the form of art they are judging. In this paper, I address this issue. Contrary to some contemporary philosophers who claim that experience (...) in creating art is irrelevant to one’s ability to judge that art form, as well as to some dance critics who see dance training as possibly even detrimental to one’s aesthetic judgment, I suggest that having practiced dancing makes one a better observer of certain aesthetic qualities of dance. Dance training, I argue, can facilitate a kinesthetic experience upon watching dance without which some aesthetic aspects of a dance performance—such as grace, power, and precision, as perceived kinesthetically—may go unnoticed. (shrink)

The aim of this work is to account for expressions like “Cantor’s diagonal proof is elegant” or “Euler identity is the most beautiful formula of mathematics”. This type of expressions is common among mathematicians; however, they may result in two kinds of puzzled reactions: first, the non mathematician may find the use of the word ‘beautiful’ strange in this context. Second, the mathematician may try to reinterpret mathematical beauty in terms of the principles and precepts of mathematics itself. I present (...) an account of mathematical beauty that offers a way to avoid these puzzled reactions: mathematical beauty is just a type of “normal” beauty and no reinterpretation is necessary. To support this claim, I devise an aesthetic theory -by using insights and findings from experimental psychology, neurology, philosophical and psychological theories of emotion in art, philosophy of music and philosophy of science- that shows that aesthetic judgments in mathematics are genuine aesthetic judgments. (shrink)

Works of art are usually meant to elicit psychological effects from their audiences whereas paradigmatic technical artifacts such as hammers or cars are rather meant to produce physical effects when used. This suggests that works of art and technical artifacts are sharply different entities. However, recent developments in the cognitive sciences and the philosophy of technology have individuated special artifacts, namely cognitive and affective artifacts, which also generate psychological effects. In particular, affective artifacts, which have the capacity to alter the (...) affective condition of agents, seem to share crucial features with works of art. Can we subsume works of art under that kind? I will argue that we cannot. Still, comparing art with affective artifacts will help us to clarify the relationship between art and technology, and to introduce a new category, namely the experiential artifact, which can properly encompass works of art. (shrink)

Aesthetic properties are often thought to have either no evaluative component or an evaluative component that can be isolated from their descriptive component. The present article argues that this popular view is without adequate support. First, doubt is cast on the idea that some paradigmatic aesthetic properties are purely descriptive. Second, the idea that the evaluative component of an aesthetic property can always be neatly separated from its descriptive component is called into question. Meanwhile, a speculative hypothesis is launched regarding (...) the structure of being garish and being cacophonous. Finally, an explanation is given of how the issue of the structure of aesthetic properties bears on their reality and (presumed) response-dependence. (shrink)

All’inizio degli anni Sessanta Frank Sibley pubblicava un articolo dal titolo inequivocabile, Aesthetic and Non Aesthetic; in esso, riprendendo alcuni spunti presenti in un altro suo celebre articolo, precedente di pochi anni, il filosofo americano affrontava esplicitamente il problema del rapporto tra giudizi, qualità, descrizioni e concetti estetici e non estetici. Aveva così inizio un dibattito tra i più fecondi sviluppatisi in seno all’estetica analitica, dibattito che ancora oggi è al ce...