Mathematics and Society - OS X Lion Server

INTRODUCTIONMATHEMATICS AND MUSICMathematics is music for the mind; music is mathematics for the soul..--AnonymousMusic is the, pleasure, that the human soul experiences from counting without becingaware that it is counting.--LeibnizMathematics and music! The'most glaring possible opposites of human thought!Yet connected, mutuaUy sustained!--Hermann von HelmholtzThe musician feels Mathematics, the mathe­Mathematics is the music of Reason.matician thinks Music.Mus{c is number made aud~ole,--J. J. Sylvesterarchitecture is number made Visible.--Claude BragdonThe science of Pure Mathematics, in its modern developments, may alaim to be themost original creation of the human spirit. Another claimant for the position ismusic.--A. N. WhiteheadSuacess in musia and mathematics also depend upon very much the same things--finetechniaal equipment, unerring precision, an abundant imagination, a keen sense ofvalues, and, above aU, a love for truth and beauty.--Elmer B. ModeFor three bars I Zisten to it; thereafter I distinguish nothing, but give myselfup to my thoughts. In this way I have solved many a difficult problem.--LagrangeMathematics is the inspired ordering of an infinite world of numbers. That'sOswald Spengler's definition. Music is the inspired ordering of an infinite worldof sound. That's my variation on Spengler's theme.--Howard p. LyonIt is the same with music.I'm glad he did . •• MusicalYou have to make them practice. My father did, andtraining helps their arithmetic.--Arthur Fiedler257