Pythagoreanism is a term used for the religious and metaphysical beliefs held by Pythagoras and his followers. It was strongly influenced by mathematics and probably an important inspiration for Plato and platonism. The Pythagoreans were philosophers who believed that all things are essentially numeric, but Pythagorean thought was also profoundly mystical.
Most scholars believe that the Pythagorean idea of the transmigration of the soul is too central to have been added by a later follower of Pythagoras. The notion of transmigration of souls is probably why Pythagoreans were strict vegetarians.
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