A quantitative approach to evolution of music and philosophy
Identifieur interne : 000022 ( Main/Exploration ); précédent : 000021; suivant : 000023A quantitative approach to evolution of music and philosophy
Auteurs : Vilson Vieira [Brésil] ; Renato Fabbri [Brésil] ; Gonzalo Travieso [Brésil] ; Osvaldo N. Oliveira Jr [Brésil] ; Luciano Da Fontoura Costa [Brésil]Source :
- Journal of Statistical Mechanics: Theory and Experiment [ 1742-5468 ] ; 2012-08.
Abstract
The development of new statistical and computational methods is increasingly making it possible to bridge the gap between hard sciences and humanities. In this study, we propose an approach based on a quantitative evaluation of attributes of objects in fields of humanities, from which concepts such as dialectics and opposition are formally defined mathematically. As case studies, we analyzed the temporal evolution of classical music and philosophy by obtaining data for 8 features characterizing the corresponding fields for 7 well-known composers and philosophers, which were treated with multivariate statistics and pattern recognition methods. A bootstrap method was applied to avoid statistical bias caused by the small sample data set, with which hundreds of artificial composers and philosophers were generated, influenced by the 7 names originally chosen. Upon defining indices for opposition, skewness and counter-dialectics, we confirmed the intuitive analysis of historians in that classical music evolved according to a masterapprentice tradition, while in philosophy changes were driven by opposition. Though these case studies were meant only to show the possibility of treating phenomena in humanities quantitatively, including a quantitative measure of concepts such as dialectics and opposition, the results are encouraging for further application of the approach presented here to many other areas, since it is entirely generic.
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DOI: 10.1088/1742-5468/2012/08/P08010
Affiliations:
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In this study, we propose an approach based on a quantitative evaluation of attributes of objects in fields of humanities, from which concepts such as dialectics and opposition are formally defined mathematically. As case studies, we analyzed the temporal evolution of classical music and philosophy by obtaining data for 8 features characterizing the corresponding fields for 7 well-known composers and philosophers, which were treated with multivariate statistics and pattern recognition methods. A bootstrap method was applied to avoid statistical bias caused by the small sample data set, with which hundreds of artificial composers and philosophers were generated, influenced by the 7 names originally chosen. Upon defining indices for opposition, skewness and counter-dialectics, we confirmed the intuitive analysis of historians in that classical music evolved according to a masterapprentice tradition, while in philosophy changes were driven by opposition. Though these case studies were meant only to show the possibility of treating phenomena in humanities quantitatively, including a quantitative measure of concepts such as dialectics and opposition, the results are encouraging for further application of the approach presented here to many other areas, since it is entirely generic.</div></front></TEI><affiliations><list><country><li>Brésil</li></country></list><tree><country name="Brésil"><noRegion><name sortKey="Vieira, Vilson" sort="Vieira, Vilson" uniqKey="Vieira V" first="Vilson" last="Vieira">Vilson Vieira</name></noRegion><name sortKey="Costa, Luciano Da Fontoura" sort="Costa, Luciano Da Fontoura" uniqKey="Costa L" first="Luciano Da Fontoura" last="Costa">Luciano Da Fontoura Costa</name><name sortKey="Fabbri, Renato" sort="Fabbri, Renato" uniqKey="Fabbri R" first="Renato" last="Fabbri">Renato Fabbri</name><name sortKey="Oliveira Jr, Osvaldo N" sort="Oliveira Jr, Osvaldo N" uniqKey="Oliveira Jr O" first="Osvaldo N" last="Oliveira Jr">Osvaldo N. Oliveira Jr</name><name sortKey="Oliveira Jr, Osvaldo N" sort="Oliveira Jr, Osvaldo N" uniqKey="Oliveira Jr O" first="Osvaldo N" last="Oliveira Jr">Osvaldo N. Oliveira Jr</name><name sortKey="Travieso, Gonzalo" sort="Travieso, Gonzalo" uniqKey="Travieso G" first="Gonzalo" last="Travieso">Gonzalo Travieso</name><name sortKey="Travieso, Gonzalo" sort="Travieso, Gonzalo" uniqKey="Travieso G" first="Gonzalo" last="Travieso">Gonzalo Travieso</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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