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  2. Pythagoras - Wikipedia

    en.wikipedia.org/wiki/Pythagoras

    Pythagoras. Pythagoras of Samos[a] (Ancient Greek: Πυθαγόρας; c. 570 – c. 495 BC) [b] was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in ...

  3. Pythagoreanism - Wikipedia

    en.wikipedia.org/wiki/Pythagoreanism

    For Pythagorean philosophers the soul was the source of justice and through the harmony of the soul, divinity could be achieved. Injustice inverted the natural order. According to the 4th century BC philosopher Heraclides Ponticus, Pythagoras taught that "happiness consists in knowledge of the perfection of the numbers of the soul. [49]

  4. Pre-Socratic philosophy - Wikipedia

    en.wikipedia.org/wiki/Pre-Socratic_philosophy

    Pre-Socratic philosophy began in the 6th century BC with the three Milesians: Thales, Anaximander, and Anaximenes. They all attributed the arche (a word that could take the meaning of "origin", "substance" or "principle") of the world to, respectively, water, apeiron (the unlimited), and air. Another three pre-Socratic philosophers came from ...

  5. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  6. Pythagorean astronomical system - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_astronomical...

    Pythagorean astronomical system. An astronomical system positing that the Earth, Moon, Sun, and planets revolve around an unseen " Central Fire " was developed in the fifth century BC and has been attributed to the Pythagorean philosopher Philolaus. [1][2] The system has been called "the first coherent system in which celestial bodies move in ...

  7. Hippasus - Wikipedia

    en.wikipedia.org/wiki/Hippasus

    Hippasus, engraving by Girolamo Olgiati, 1580. Hippasus of Metapontum (/ ˈhɪpəsəs /; Greek: Ἵππασος ὁ Μεταποντῖνος, Híppasos; c. 530 – c. 450 BC) [1] was a Greek philosopher and early follower of Pythagoras. [2][3] Little is known about his life or his beliefs, but he is sometimes credited with the discovery of the ...

  8. Philolaus - Wikipedia

    en.wikipedia.org/wiki/Philolaus

    Philolaus (/ ˌfɪləˈleɪəs /; Ancient Greek: Φιλόλαος, Philólaos; c. 470 – c. 385 BC) [1][2] was a Greek Pythagorean and pre-Socratic philosopher. He was born in a Greek colony in Italy and migrated to Greece. Philolaus has been called one of three most prominent figures in the Pythagorean tradition and the most outstanding ...

  9. Monad (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Monad_(philosophy)

    The term monad (from Ancient Greek μονάς (monas) 'unity' and μόνος (monos) 'alone') [1] is used in some cosmic philosophy and cosmogony to refer to a most basic or original substance. As originally conceived by the Pythagoreans, the Monad is the Supreme Being, divinity or the totality of all things. According to some philosophers of ...