Noun
The doctrines of Pythagoras or the Pythagoreans.
Source: Webster's dictionaryHowever Xenophon does not mention Socrates as believing in reincarnation and Plato may have systematised Socrates' thought with concepts he took directly from Pythagoreanism or Orphism. Source: Internet
Pythagoreanism The practical side of philosophy was introduced by Pythagoras of Samos (582-496 BCE). Source: Internet
Similarly, one of the two main schools of thought in Pythagoreanism was known as the mathēmatikoi (μαθηματικοί) - which at the time meant "teachers" rather than "mathematicians" in the modern sense. Source: Internet