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was a very significant person in the history of the world. He made many contributions to the fields of math, music, and astronomy. 's teachings and beliefs that were once taught by him in his own school in ancient Greece, are still taught t ....

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... is not a rational multiple of its side. The latter discovery proved the existence of irrational numbers and therefore changed the entire Greek mathematical belief that whole numbers and their ratios could account for geometrical properties. Another contribution of Pythagoras and his follower is that of music. Pythagoras essentially created music in that he discovered the way it works. Pythagoras noticed that vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers. After making this discovery, he found that these same ratios could be extended further to other instruments. Pythagoras was ...