International Journal of Computational Intelligence Systems

Volume 8, Issue 6, December 2015, Pages 1103 - 1115

Birkhoff's aesthetics, Arnheim's entropy. Some remarks on complexity and fuzzy entropy in arts

Authors
Marco Elio Tabacchi, Settimo Termini
Corresponding Author
Marco Elio Tabacchi
Received 9 July 2015, Accepted 5 October 2015, Available Online 1 December 2015.
DOI
https://doi.org/10.1080/18756891.2015.1113745How to use a DOI?
Keywords
Fuzziness, Art, Complexity evaluation, Fuzzy Entropy
Abstract
A judgement of aesthetic in arts is, by sheer consensus, a daunting task that requires evaluation of a whole host of endogenous and exogenous cultural factors. A few of them can actually provide very useful hints in tackling foundational problems in Information Science in a more natural setting than what is usually provided by a typical engineering stance. This interaction can however work the other way about, as instruments from the Information and Computer Science toolkit may help in focusing the less explored features of art and its evaluation. When all the social, historical, hermeneutical and political considerations are stripped from the living flesh of the piece, we lose most of what differentiates creation from description. This notwithstanding, or maybe exactly for this reason, measuring structures is still an important element of artistic judgement, and 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 different value in arts than in information theory, a “confusion of our languages” already noted by R. Arnheim. In this paper we discuss a tiny fragment of the general and wide mesh of interactions between information sciences and humanities: a possible, fruitful interaction among such different topics as fuzziness and art, dealing with similarities and differences in measuring fuzziness and information, and the relationship between the informal notion of information and the measures of fuzziness.
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - 6
Pages
1103 - 1115
Publication Date
2015/12
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.1080/18756891.2015.1113745How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Marco Elio Tabacchi
AU  - Settimo Termini
PY  - 2015
DA  - 2015/12
TI  - Birkhoff's aesthetics, Arnheim's entropy. Some remarks on complexity and fuzzy entropy in arts
JO  - International Journal of Computational Intelligence Systems
SP  - 1103
EP  - 1115
VL  - 8
IS  - 6
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1113745
DO  - https://doi.org/10.1080/18756891.2015.1113745
ID  - Tabacchi2015
ER  -