Dyad (philosophy)

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The Dyad is a title used by the Pythagoreans for the number two, representing the principle of "twoness" or "otherness".

Numenius of Apamea, a Neopythagorean philosopher in the latter 2nd century CE, said that Pythagoras gave the name of Monad to God, and the name of Dyad to matter. [1] [ need quotation to verify ] Aristotle equated matter as the formation of the elements (energies) into the material world as the static material was formed by the energies being acted upon by force or motion.[ citation needed ] Later Neoplatonic Philosophers and idealists like Plotinus treated the dyad as a second cause (demiurge),[ citation needed ] which was the divine mind (nous) that via a reflective nature[ clarification needed ] (finiteness) causes matter to "appear" or become perceivable.

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Pythagorean, meaning of or pertaining to the ancient Ionian mathematician, philosopher, and music theorist Pythagoras, may refer to:

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Pythagoreanism originated in the 6th century BC, based on the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in Crotone, Italy. Early Pythagorean communities spread throughout Magna Graecia.

Nicomachus

Nicomachus of Gerasa was an important ancient mathematician best known for his works Introduction to Arithmetic and Manual of Harmonics in Greek. He was born in Gerasa, in the Roman province of Syria. He was a Neopythagorean, who wrote about the mystical properties of numbers.

Iamblichus

Iamblichus was a Syrian Neoplatonist philosopher of Arab origin. He determined the direction that would later be taken by Neoplatonic philosophy. He was also the biographer of the Greek mystic, philosopher and mathematician Pythagoras.

Hippasus

Hippasus of Metapontum was a Pythagorean philosopher. Little is known about his life or his beliefs, but he is sometimes credited with the discovery of the existence of irrational numbers. The discovery of irrational numbers is said to have been shocking to the Pythagoreans, and Hippasus is supposed to have drowned at sea, apparently as a punishment from the gods for divulging this. However, the few ancient sources which describe this story either do not mention Hippasus by name or alternatively tell that Hippasus drowned because he revealed how to construct a dodecahedron inside a sphere. The discovery of irrationality is not specifically ascribed to Hippasus by any ancient writer.

Theano of Crotone is the name given to perhaps two Pythagorean philosophers. She has been called the pupil, daughter or wife of Pythagoras, although others made her the wife of Brontinus. Her place of birth and the identity of her father are just as uncertain, there is some uncertainty if Theano can be the daughter of Brontinus the Orphic, it is still misleading but many sources are explaining that Brontinus might be the best chance to be the father of Theano, even though other made her the wife of Brontinus, leading some authors to suggest that there was more than one person whose details have become merged. A few fragments and letters ascribed to her have survived which are of uncertain authorship.

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Neopythagoreanism

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The tetractys, or tetrad, or the tetractys of the decad is a triangular figure consisting of ten points arranged in four rows: one, two, three, and four points in each row, which is the geometrical representation of the fourth triangular number. As a mystical symbol, it was very important to the secret worship of Pythagoreanism. There were four seasons, and the number was also associated with planetary motions and music.

Numenius of Apamea was a Greek philosopher, who lived in Apamea in Syria and Rome, and flourished during the latter half of the 2nd century AD. He was a Neopythagorean and forerunner of the Neoplatonists.

Damo was a Pythagorean philosopher said by many to have been the daughter of Pythagoras and Theano.

Monad (philosophy)

Monad refers, in cosmogony, to the Supreme Being, divinity or the totality of all things. The concept was reportedly conceived by the Pythagoreans and may refer variously to a single source acting alone, or to an indivisible origin, or to both. The concept was later adopted by other philosophers, such as Gottfried Wilhelm Leibniz, who referred to the monad as an elementary particle. It had a geometric counterpart, which was debated and discussed contemporaneously by the same groups of people.

Henosis

Henosis is the classical Greek word for mystical "oneness", "union" or "unity". In Platonism, and especially Neoplatonism, the goal of henosis is union with what is fundamental in reality: the One, the Source, or Monad. The Neoplatonic concept has precedents in the Greek mystery religions as well as parallels in Eastern philosophy. It is further developed in the Corpus Hermeticum, in Christian theology, Alevism, soteriology and mysticism, and is an important factor in the historical development of monotheism during Late Antiquity.

Brontinus of Metapontum was a Pythagorean philosopher, and a friend and disciple of Pythagoras himself. Alcmaeon dedicated his works to Brontinus as well as to Leon and Bathyllus. Accounts vary as to whether he was the father or the husband of Theano.

Arignote or Arignota was a Pythagorean philosopher from Croton or Samos. She was known as a student of Pythagoras and Theano and, according to some traditions, their daughter as well.

References

  1. Chalcidius r.52, 5–24, as cited in Kahn, Charles N. (2001). Pythagoras and the Pythagoreans: a brief history. Indianapolis, IN: Hackett Pub. p. 172. ISBN   0-87220-575-4.