The modern world is made in the image of algebra and the infinitesimal calculus that is grounded in it. But are the philosophical presuppositions of these mathematical disciplines even coherent? Mr. Kalb maintains that they are not, but that algebra is in fact a confused doctrine of music. Building upon the work of Jacob Klein, he first critiques the modern concept of number, which he shows to have been confused with quantity. He then proceeds to develop a genuine theory of quantity and measurement upon new foundations, from which are derived immediately the mathematical rules of musical harmony. After deriving the forms of harmony and the major and minor scales, he turns his attention to the problem of motion and modern physics. He concludes by drawing the consequences this theory of music has for the philosophy of nature.
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