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Pythagoras fl 530 BCE must have been one of the worlds greatest men but he wrote nothing and it is hard to say how much of the doctrine we know as Pythagorean is due to the founder of the society and how much is later development It is also hard to say how much of what we are told about the life of Pythagoras is trustworthy for a mass of legend gathered around his name at an early date Sometimes he is represented as a man of science and sometimes as a preacher of mystic doctrines and we might be tempted to regard one or other of those characters as alone historical The truth is that there is no need to reject either of the traditional views The union of mathematical genius and mysticism is common enough Originally from Smos Pythagoras founded at Kroton in southern Italy a society which was at once a religious community and a scientific school Such a body was bound to excite jealousy and mistrust and we hear of many struggles Pythagoras himself had to flee from Kroton to Metapontion where he died School of Pythagoreans was a school of religion and mathematics that was located in Kroton in southern Italy The Rules of school were to abstain from beans not to pick up what has fallen not to stir the fire with iron do not look in a mirror beside a light and practice vegetarianism Pythagoras regarded himself as semi-divine There are men gods and men like Pythagoras Pythagorean Society regarded men and women equally The property was communal Mathematical discoveries were communal and by association were attributed to Pythagoras himself -- even from the grave Hence exactly what Pythagoras discovered personally is difficult to figure out The Mathematics of Pythagoras discovered irrationals by his school not himself because his philosophy was all things are numbers since by a number he meant the ratio of two whole numbers It
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