Junior Ganymede
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Milliagression in the 14th Century

April 14th, 2016 by John Mansfield

From Music and the Making of Modern Science by Peter Pesic, page 28:

In his earlier Tractatus de commensurabilitate vel incommensurabilitate motuum celi (Treatise on the Commensurability or Incommensurability of the Celestial Motions, written sometime during 1340-1377), Oresme staged this problem in the form of a debate between personified figures of Arithmetic and Geometry, enacted at the command of Apollo himself. The whole dramatic scene is unique among his works, which he generally phrased in the traditional Euclidean style of geometrical propositions.

Appearing as a character in his own drama, Orseme expresses his perplexity whether incommensurability is actually present in astronomy or only a purely theoretical possibility. Then Apollo, accompanied by the Muses, Arts, and Sciences, appears to Oresme “as if in a dream.” Apollo rebukes him for being “ignorant of the ratios relating the things of this world” and hence subject to “affliction of the spirit and an unending labor.” Apollo phrases the problem trenchantly; “an impreceptible excess—even a part smaller than a thousandth—could destroy an equality and alter a ratio from rational to irrational.”

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April 14th, 2016 18:49:25
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