Pythagoras became the focal figure for traditions that joined a disciplined communal life, beliefs about transmigration, and investigations of number and harmony.
Intellectual setting
Biographical traditions are late and often idealizing, so scholarship separates the historical figure from the subsequent Pythagorean movements.
Key ideas
Philosophical way of life
Pythagorean identity joined ethical rules, communal practices, and claims about purification of the soul.
Number and harmony
Later Pythagorean evidence connects numerical ratios and musical harmony to intelligible cosmic order.
Legacy
Pythagoras provided a durable model for linking mathematical order, ethical discipline, and a philosophical community.