Pythagoras and Pythagoreans were interested in the many aspects of music, including the practical effects of music on psycho-physical health.
They attended to harmonic principles.
Pythagoras himself attended to early natural philosophers such as Thales and Anaximenes.
Since the end of the Roman Empire Pythagoreans have periodically found shelter in the esoteric schools of Christianity and Islam.
Some have seen a genealogy of Pythagorean-like thought like this: Hermes-Trismegistus, Orpheus, Aglaophamus, Pytagoras, Philolaus, Plato. Some follow a Pythagorean line of thought the astronomers and mathematical philosophers to the present. The Theosophical Society has carried Pythagorian thought from the late 19th century until recently.
What have we so far? Pythagoras was a music therapist. He taught orally which seems appropriate for one who considered philosophy a ver active process. We have said that he was born around 570 BC. We can add that his father was a gem engraver by the name of Mnesarchus and that his mother was called Pythias. Iamblichus said that Pythagoras spent 22 years studying with the 'priests' of Egypt. He probably also studied with the Chaldeans. Number is prime.
I think that the following is from Plato, but am not at all sure of the source.
".......and the ancient, who were superior to us and dwelt nearer to the gods, have handed down a tradition that all things that are said to exist, consist of one and many and contain in themselves the connate principles of limit and unlimitedness."
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