The sixth century philopher Pythagoras taught that?

Answer 1

~ All relations can be reduced to number relations.

~ Vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers, and that these ratios can be extended to other instruments.

~ At its deepest level, reality is mathematical in nature.

~ Philosophy can be used for spiritual purification.

~ The soul can rise to union with the divine.

~ Certain symbols have a mystical significance.

~ There is dependence of the dynamics of world structure on the interaction of contraries, or pairs of opposites.

~ The soul is a self-moving number experiencing a form of metempsychosis, or successive reincarnation in different species until its eventual purification.

~ All existing objects were fundamentally composed of form and not of material substance.

~ The brain was the locus of the soul; he prescribed certain secret cult-like practices.

Pythagorean Theorem

(see link below)

Although the theorem, now known as Pythagoras's theorem, was known to the Babylonians 1000 years earlier, he might have been the first to prove it.