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Incommensurability, Music and Continuum: A Cognitive Approach
Archive for History of Exact Sciences 61 (3):273-302 (2007)
Abstract
The discovery of incommensurability by the Pythagoreans is usually ascribed to geometric or arithmetic questions, but already Tannery stressed the hypothesis that it had a music-theoretical origin. In this paper, I try to show that such hypothesis is correct, and, in addition, I try to understand why it was almost completely ignored so far.Author's Profile
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Citations of this work
Hearing the Irrational: Music and the Development of the Modern Concept of Number.Peter Pesic - 2010 - Isis 101 (3):501-530.
Hearing the Irrational: Music and the Development of the Modern Concept of Number.Peter Pesic - 2010 - Isis 101 (3):501-530.
References found in this work
The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
Lore and science in ancient Pythagoreanism.Walter Burkert - 1972 - Cambridge, Mass.,: Harvard University Press.
Later Mohist logic, ethics, and science.Angus Charles Graham (ed.) - 1978 - London: School of Oriental and African Studies, University of London.
Die Fragmente der Vorsokratiker.Harold Cherniss & Hermann Diels - 1939 - American Journal of Philology 60 (2):248.
Philolaus of Croton: Pythagorean and Presocratic: A Commentary on the Fragments and Testimonia with Interpretive Essays.Carl A. Huffman (ed.) - 1993 - New York: Cambridge University Press.
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