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**Pythagoras**

**Birth and death date:**Unknown

**Areas of interest:**Politics, Mathematics, Metaphysics, Ethics, Music

**Influenced:**Philolaus, Empedocles, Plato, Alcmaeon of Croton, Euclid, Johannes Kepler, Parmenides, Hippasus

**Philosophical era:**Ancient philosophy

**Schools of thought:**Pythagoreanism

**Influenced by:**Thales of Miletus, Anaximander, Pherecydes of Syros, Themistoclea

Pythagoras
discovered that harmonious intervals in music are based on simple rational
numbers. This led to a fascination with integers and mystic numerology. The
Pythagoras Theorem was known long before Pythagoras, but he is often credited
with the first proof. Apastambha proved it in India at about the same time but
some conjecture that Pythagoras visited to India and learned of the proof
there.

Pythagoras
theorem states that "in a right-angled triangle the
square of the hypotenuse is equal to the sum of the squares of the two other
sides, that is,

*a*^{2}+ b^{2}= c^{2}."
The Pythagoras theorem was known and used by the Babylonians and Indians centuries before Pythagoras,

^{ }but it is possible that he may have been the first one to introduce it to the Greeks. Some historians of mathematics have even suggested that he or his students may have constructed the first proof.
Pythagoras was never credited with having proved any theorem in antiquity.
Furthermore, the manner in which the Babylonians employed Pythagorean numbers
implies that they knew that the principle was generally applicable.