Fuzzy Sets and the techniques of Development in L. van Beethoven’s Piano Sonata nr. 8 in C minor

Abstract

: Modern musical analysis is shaped by potential influences from other research fields, which highlight musical value from a different perspective. Such a shift in paradigm can stem from the theory of FUZZY SETS, which offers several explanations concerning the way in which the mathematical arguments serve to understand the meaning of a work of art. Fuzzy logic gives us the necessary instruments to represent in intelligent systems certain imprecise concepts, which are context-dependent – fuzzy variables. The logic of the fuzzy sets introduces values such as subjectivity, the poetic dimension, which are very important for the musical art, especially in the case of L. van Beethoven, which shows that he is one of the greatest composers who used development and variation.