Pythagoreans
Synonyms
Examples
According to legend, fellow Pythagoreans were so traumatized by this discovery that they murdered Hippasus to stop him from spreading his heretical idea.
Aristotle claimed that the philosophy of Plato closely followed the teachings of the Pythagoreans, Metaphysics, 1.6.1 (987a) and Cicero repeats this claim: Platonem ferunt didicisse Pythagorea omnia ("They say Plato learned all things Pythagorean").
Ancient Pythagoreans usually quoted their master's doctrines with the phrase autos ephe ("he himself said") — emphasizing the essentially oral nature of his teaching.
As Proclus wrote: The Pythagoreans considered all mathematical science to be divided into four parts: one half they marked off as concerned with quantity, the other half with magnitude; and each of these they posited as twofold.
C. B. Boyer (1968) The systematic study of proof seems to have begun with the school of Pythagoras (i. e. the Pythagoreans) in the late sixth century BC.
Everything of the kind mentioned by Plato and Aristotle is attributed not to Pythagoras, but to the Pythagoreans.