Search results for "Birkhoff"

Measures of Fuzziness and Information: some challenges from reflections on aesthetic experience

2011

Evaluating aesthetic in arts is, by sheer consensus, a daunting task. Even when all the social, historic and politic considerations are stripped from the living flesh of the piece – and with them most of what differentiates creation from description – the folk concept that beauty stems from some sort of order/chaos relationship, formalized by G. D. Birkhoff as the aesthetic measure, requires an adequate and consistent quantification of both factors. Old and new approaches to the problem generally resort to classical definitions of information and entropy (Shannon entropy, Kolmogorov-Solomonoff complexity) and their derivatives, neglecting the fact that compactness and repetition have a diff…