Pythagoras
(550 - 500 B.C.) Pythagoras is believed to be the intellectual catalyst for the
enlightenment, Pythagoras was considered the "orphic spirit on Earth." The Orphics
(after Orpheus) believed that life on earth directly affected life after death. They held
that the soul is immortal and is the best part of a human being.
Pythagoras moved from Samos to southern Italy and founded a society of disciples characterized by common beliefs and observances. He held sway over the group and the city for a time, was overthrown, moved away, and died. After his death he was credited with being a sorcerer, performing miracles, being a mystic, and founding the modern school of mathematics. He professed a doctrine known as "metempsychosis" which provided for repeated reincarnation of souls with punishments and rewards for behavior in previous incarnations.
Pythagoras' followers believed that the discovery of knowledge was ecstasy. He called this "passionate-sympathetic-contemplation." One gained this state through conversation/dialectic. Plato, another Orphic and fan of Pythagoras held that PSC can't be expressed through the world of perception/appearances, but rather through the intellectual searching of the eternal world of perfect forms. Both Plato and Pythagoras preferred a mathematical way of viewing the world.
Pythagoreanism
Is the school of thought that grew from the teachings of Pythagoras. Pythagoreanism has 11 basic tenets:
From: Angeles, Peter A. Dictionary of Philosophy. NY: Barnes and Noble, 1981.