Assiomatica pre-euclidea e deduzione aristotelica: quale metodo per gli Elementa harmonica?
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Aristoxenus conceived of harmonics as a demonstrative science. In his work of organization and systematization of musical knowledge, he was inspired by both the Aristotelian theory of science, including its adoption in biology, and the mathematical method of exposition. This article attempts to outline the structure of Elementa harmonica and throw light on the sources of the Aristoxenian epistemological approach. Aristoxenus assimilated the Aristotelian and mathematical idea of the intimate connection between science and demonstration and applied this idea in the musical field by working out an axiomatic and deductive model, which is suitable and peculiar to the scientific treatment of harmonics. In this way Aristoxenus made an original contribution to the shaping of axiomatization and deduction in classical Greece.
keywordsAristoxenus, Elementa harmonica, Aristotle, Mathematics, Demonstration |
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