Tuesday, August 4, 2015

Pythagoras

Pythagoras

The Classical Mind
W.T. Jones
1980

"About the life of Pythagoras we know almost nothing; we know even less about his views, as distinguished from those of his followers" (Jones, 31).

-Probably born in Samos off the coast of Asia Minor and emigrated to Southern Italy around 530 BC
-Founded a society, primarily a religious society in Croton. The society conducted some scientific research and dominated the politics of Croton for a time. The science they practiced seemed to be a part of their worship of god.
-Pythagoras was both scientific and religious
-The religious temperament of Greece was changing around the time of Pythagoras. The Olympic gods were being given lip service and the old Greek notion of religion with it. The quest for immortality was gaining sway as a new worship of Dionysus began to sweep through Greece.
-The worship of Dionysus was scandalous to the conservative Greeks. "The ceremonies took place, often at night, in remote places, and women - the scandal of conservative males - took a prominent part in them. In a frenzy of intoxication the worshipers tore living animals apart, drank their blood, and danced to the point of exhaustion. They felt the spirit of the god pass into their bodies; the union so passionately desired was consummated, and the worshipers exulted in a supreme happiness and utter freedom from any sort of restraint" (Jones, 32). This was a far cry between the business like transactions made between the earlier Greeks and the gods of Olympus.

The Pythagoreans took the Bacchic rites of worship and elevated it to an intellectual level. Rather than using wine to achieve intoxication, the Pythagoreans used music to purify their soul.

-The Pythagoreans believed in an immortal soul that passed through a cycle of births, coming back as different things determined by the kind of life led by the soul in the preceding existence.

-The goal of the Pythagoreans was to be released from the cycle of birth and death. It was accomplished through attaining wisdom.

There were three types of men in the Pythagorean system (stated in allegorical form based on the Olympic games)
1) The lovers of gain - those who sold souvenirs
2) The lovers of honor - the competitors
3) The lovers of knowledge - the spectators

The idea was that the Pythagoreans, by contemplating on the eternal truths to which their science afforded them access to would eventually lead to their escape from the cycle of birth and death.

For the Milesian three the use of science was to satisfy human curiosity and had some practical application. For the Pythagoreans the use of science was the method to spiritual redemption.

Mathematics was the principle science of the religion of the Pythagoreans. The tetraktys played an important part in their cosmology. (Tetraktys are triangle numbers in sequence, 1, 1+2, 1+2+3, 1+2+3+4, etc.)

They also developed the arithmetic mean and the harmonic mean. They used this in their metaphysics and cosmology to show that the conflict of opposites, a key component in early Greek philosophy, could be solved by means of harmonizing. They also used the idea of the mean in medicine and ethics. In medicine, health was the mean of a harmony of opposites, neither too hot nor too cold. The use of the mean in ethics led to the idea of moderation that persists in later Greek thought.

Unlike the Milesian three and their disciples, the Pythagoreans were not monists. They were dualists. Their two principles were the Limit and the Unlimited. The Unlimited was a mass of indeterminacy and indefinities. The Limit was fire.

The Pythagoreans saw the cosmic order as having a unity that is in nature mathematical. "The Pythagoreans' most notable achievement, certainly, was the concept of the 'cosmos' - the notion that the universe is not a chaotic hodgepodge but a thoroughly ordered system in which every element is harmoniously related to every other" (Jones, 38). While this was already nascent in Greek thought, but the Pythagoreans made it explicit. This meant that the universe was completely knowable.



The History of Western Philosophy
Bertrand Russell
1972

-Pythagoras was one of the most intellectually important men of all time
-Demonstrative deductive mathematics began with Pythagoras
-Native of Samos, flourishing around 532 B.C.
-"Some say he was the son of a substantial citizen named Mnesarchos, others that he was the son of the god Apollo; I leave the reader to take his choice between these alternatives" (Russell, 29). This particular sentence might have been the one that truly made me enjoy reading Russell initially ten years ago.

-Samos, like Miletus, was a commercial city
-Samos was ruled by Polycrates, a tyrant not known for his moral scruples. He killed his two brothers and used his considerable navy as a nationalized piracy ring
-Samos grew in stature after Miletus was subdued by Persia
-Polycrates tried to play both sides against the middle in the Persian and Egyptian wars, and used his political enemies to do so. Eventually, this caught up with him and led to his crucifixion by the Persians.
-Despite being treacherous, Polycrates was a patron of the arts. Pythagoras however, did not like Polycrates and left Samos on account of him.
-After leaving Pythagoras may have visited Egypt and learned from that visit. Regardless if this is true or not, he ended up settling down at Croton, in Southern Italy.
- Like Miletus and Samos, the cities of southern Italy were commercial hubs.
- At Croton, Pythagoras founded a society with various disciples and school for mathematics
- Unfortunately Pythagoras wore out his welcome at Croton and left for another southern Italian city, Metapontion

-Pythagoras was both a mathematical thinker and a mystic. He founded a religion based on transmigration of souls. His religion was a sort of reformation of Orphism, which itself was a reformation of the religion of Bacchus or Dionysus
-Much of Pythagoras' religion was otherworldly, placed value in the unity of God and condemned the visible world as illusionary and bemoaned that it obscured the view of the real things.

Religious beliefs:
-believed the soul to be immortal
-the soul is transformed into other kinds of living things
-everything in existence is born again and so nothing is absolutely new
-everything that has life should be treated as family
-the rebirth cycle is the wheel of birth, to escape most effectively is to be a philosopher

"In the society that he founded, men and women were admitted on equal terms; property was held in common, and there was a common way of life. Even scientific and mathematical discoveries were deemed collective, and in a mystical sense due to Pythagoras even after his death" (Russell, 33).

Believed there to be three types of men:
1) lowest - those who buy and sell
2) middle - those who act and do things (the competitors)
3) highest - those who observe (the philosopher)

For Pythagoras the chief good was the contemplative life. Hence, the spectators/philosophers who contemplate are better than those that do/competitors. This is somewhat backwards to today's thoughts where those that do are considered more valuable than those that watch.

Pythagoras was a religious philosopher and a mathematical one. The contemplation that he achieved brought about mathematics for the sake of mathematics, it didn't need utility.

"Personal religion derived from ecstasy, theology from mathematics; and both are to be found in Pythagoras" (Russell, 37).

The combination of mathematics and theology began with Pythagoras.

Pythagoras is influential in numerous fields. What he began found its way into numerous thoughts/worldviews. "But for him, Christians would not have thought of Christ as the Word; but for him, theologians would not have sought logical proofs of God and immortality" (Russell, 37).

Early Greek Philosophy
Jonathan Barnes
2001

-"We hear more about Pythagoras than about any other Presocratic philosopher. For the school of thought to which he gave his name lasted for a millennium, and several works by later Pythagoreans have survived. Yet in many ways Pythagoras is the most obscure and perplexing of all the early thinkers" (Barnes, 28).

-The legend of Pythagoras rapidly built up around him.

-Isocrates mentions an interesting thing about Pythagoras: "He was the first to bring philosophy to Greece, and in particular he was concerned, more conspicuously than anyone else, with matters to do with sacrifices and temple purifications, thinking that even if this would gain him no advantage from the gods it would at least bring him high repute among men" (Barnes, 31).

Aristotle, in a lost work, attributes many miracles to Pythagoras. First, Pythagoras bit a poisonous snake that bit him and it killed the snake. Second, Pythagoras showed his thigh was made of gold. Third, he appeared in two cities simultaneously.

The teachings of Pythagoras can be divided into two categories: mathematico-metaphysical and moral.

Porphyry wrote that Pythagoras said that the soul was immortal, that it changed into other kinds of animals. He also stated that Pythagoras taught the history repeated itself from time to time and thus, nothing was ever truly new.

Diodorus wrote that Pythagoras was vegetarian because eating meat was horrible on account of the soul of the animal. He also wrote that Pythagoras claimed to remember his past life as Euphorbus who was killed by Menelaus in the Trojan war.

FUTURE MODERN ANCIENT GREEKS - Have Pythagoras be a charlatan. He sets up a community to do 'communal work for the good of the community' but it really just puffs up his own image.

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