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The poet Heraclitus of Ephesus (fl. c. 500 BC), who was born across a few miles of sea away from Samos and may have lived within Pythagoras's lifetime, [14] mocked Pythagoras as a clever charlatan, [8] [14] remarking that "Pythagoras, son of Mnesarchus, practiced inquiry more than any other man, and selecting from these writings he manufactured ...
Pythagoras (c. 570 – c. 495 BC) was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus.
Pythagoras' teachings and Pythagoreanism influenced Plato's writings on physical cosmology, psychology, ethics and political philosophy in the 5th century BC. However, Plato adhered to the dominant Greek philosophy, and the Platonic philosophy suppressed the combination of experimental method and mathematics which was an inherent part of ...
Nicomachus's Life of Pythagoras was one of the main sources used by Porphyry and Iamblichus, for their (extant) Lives of Pythagoras. [1] An Introduction to Geometry , referred to by Nicomachus himself in the Introduction to Arithmetic, [ 8 ] has not survived. [ 1 ]
Pythagoras taught philosophy of life, religion, and mathematics in his own school in Kroton, which was a Greek colony. Pythagoras' school is linked to the Pythagorean theorem , which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
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Pythagoras developed a school of philosophy that was both dominated by mathematics and "profoundly mystical". [3] Philolaus has been called one of "the three most prominent figures in the Pythagorean tradition" [ 4 ] and "the outstanding figure in the Pythagorean school", who may have been the first "to commit Pythagorean doctrine to writing ...
The Greek philosopher Pythagoras was not the first to discover the equation expressed in the Pythagorean theorem, as it was known and used by the Babylonians and Indians centuries before him. Pythagoras may have been the first to introduce it to the Greeks , but the first record of it being mathematically proven as a theorem is in Euclid's ...