The theory presented in my book, Natural Beauty , is syncretic in that it denies the exclusivity of any one model of aesthetic appreciation of natural objects and instead insists: (1) that there is a tight, reciprocating connection between talents of perception that we develop in relation to arts and to natural objects; and (2) that the appreciation of natural beauty is intimately connected to the appreciation of other social values, including ethical values. In this paper, I respond to criticisms (...) of my syncretic approach---chiefly that it fails to reconcile objective and subjective elements in aesthetic judgment, that it fails to marshal its many modes of judgment into rational consistency, and that it fails to take proper stock of the role of scientific knowledge in these judgments---offered by Arnold Berleant, Stephanie Ross, and Glenn Parsons. (shrink)

ABSTRACT Mathematicians frequently use aesthetic vocabulary and sometimes even describe themselves as engaged in producing art. Yet aestheticians, in so far as they have discussed this at all, have often downplayed the ascriptions of aesthetic properties as metaphorical. In this paper I argue firstly that the aesthetic talk should be taken literally, and secondly that it is at least reasonable to classify some mathematics as art.