Parmenides
The Classical Mind
W.T. Jones
1980
The first physicists and cosmologists to use the new geometric method of deductive reasoning from self-evident starting positions found that their logical conclusions clashed with the real world experience they had. The problem of perception was born.
Parmenides was consumed with the problem of change.
Parmenides started with monism and added two tautologies:
1) What is, is
2) What is not, is not
What is not, is not means that there is no nothing. 'Nothing' is essentially a meaningless word. His reasoning for claiming that there is no nothing is that it is impossible to think of nothing.
FUTURE MODERN ANCIENT GREEKS - The Parmenides - An Oxygen Like Bar where the users imbibe on a vapor that allows them to conceptualize nothing. It often drives its users to depression, madness and suicide. But, occasionally genius is borne out of using. Not recommended for persons on their first few cycles of birth and death.
From his two self-evident tautologies he deemed that what is, is uncreated, indestructible, eternal and unchangeable.
- It is uncreated because it was either created out of nothing or something. It can't be created out of nothing because nothing does not exist. It can't be created out of something because as a monist he assumed that there is only that one something.
-It is indestructible because to destroy it would make it become nothing. There is no nothing. Therefore it is indestructible.
-It is eternal because it is uncreated and indestructible.
-It is unchangeable because there is nothing it can change into in a monist system. Also, if it did change the old thing it was would become nothing. There is no nothing, so change is impossible.
History of Western Philosophy
Bertrand Russell
1974
Heraclitus: everything changes
Parmenides: nothing changes
-From Elea, Southern Italy
-flourished circa 5th century BC
-Met with Socrates circa 450 BC
-Invented metaphysics based on logic
-believed the senses to be deceptive
-believed that the multitude of things was illusionary
-had two strands of thought: the way of truth and the way of opinion
Way of Truth: can't think about nothing, there is no nothing. there is no becoming and no passing away.
"Parmenides maintains that not only must George Washington have existed in the past, but in some sense he must still exist, since we can use his name significantly" (Russell, 49).
Parmenides' argument: if a word can be used significantly it must mean something and not nothing. Therefore, the meaning of the word must have some existence. This argument relies on the notion that the meaning of words is unchanging.
Because of the continual 'existence' that words guarantee, there really is no past. Since there is no past, there is no change.
Early Greek Philosophy
Jonathan Barnes
2001
"What can be said and be thought of must be; for it can be, and nothing cannot" (Barnes, 81).
He warned against the senses and extolled man not to let habit and experience force you to trust the deceptive senses.
What is, is un-generated and indestructible. No past, no future, always is.
"Thinking and a thought that it is are the same thing" (Barnes, 83).
FUTURE MODERN ANCIENT GREEKS - This is the basis for the Parmenides Engine. Think of the place that you are going and you are there. This allows for the space explorer to travel the vastness of space in short periods of time without massive amounts of fuel. The problem is that it can only be piloted by someone able to focus their mind completely on a single object. Distracted pilots have had disastrous results with this type of engine. Sometimes they end up half in one place and half in another. Sometimes they end up somewhere as something else. Sometimes they end up nowhere, if they have recently imbibed on the Parmenides vapor. This is actually the origin of black holes.
"[Parmenides] was the first to declare that the earth is spherical and lies in the middle [of the universe] - Diogenes Laertius" (Barnes, 89).
Sunday, August 9, 2015
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.
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.
Heraclitus
Heraclitus
The Classical Mind
W.T. Jones
1980
-For Heraclitus, the original stuff is fire. "This world...was ever, is now, and ever shall be an everlasting fire" (Jones, 14).
-Heraclitus was influenced by the Milesian three, but was more subtle and refined
-Heraclitus' notion to resolve the problem of how one thing becomes every thing and is still one was to make the 'one thing' a non-material thing. For Heraclitus, the one thing then was the process itself.
-For Heraclitus, who like most men have difficulty in truly thinking abstractly, let alone communicating abstract thoughts, he called this process 'fire', which is always changing and yet still fire.
-The problem for the Milesian three was they held a belief in unity and still needed to reconcile the fact that things changed. Heraclitus however in proclaiming process as the one thing went to the extreme and created the problem of permanence. Because everything was fire and process, everything was always changing. This is the state of flux.
-Flux accounts for the change. Permanence is accounted for by accepting that the thing that is changing appears permanent because the rate of change is always the same.
-In addition to the Milesian three's problem of one and the many, Heraclitus has the problem of the world as it appears and the world as it really is.
-Heraclitus did not stop at describing the physical world as the Milesian three did. He dabbled into more areas.
-He used the eternal flux in describing how politics works as well. The political system is a constant tension of opposites. For example, without strife peace could not exist.
-Heraclitus' political theory was representative of his time. There was constant strife between the various city states and peace only existed when neither of the warring city states had enough power to overcome the other. Likewise, in the individual city states the nobles and the commoners only achieved a balance of peace when neither party was powerful enough to impose their will on the other. Heraclitus was on the side of the nobility.
-Heraclitus was contemptuous of the masses.
-In addition to social theory, Heraclitus showed an interest in religion. For Heraclitus, his aristocratic contempt for the masses extended to his religious sentiments. Accepting the scientific nature of the Milesian three, he rejected the contemporary religion of the masses.
-Heraclitus is quoted as saying 'the wisest man is an ape compared to God, just as the most beautiful ape is ugly compared to man'
-Heraclitus sometimes identifies his god as the process of flux
-Heraclitus' god was not personal. It was indifferent to human conceptions of right and wrong, justice and was immune to men's prayer.
-Heraclitus equated the flux/process sometimes with 'logos'.
-Some passages indicate that Heraclitus' ethics held that the chief good of man is to listen to the logos and even become absorbed by the logos
-Heraclitus was both a scientific and religious philosopher.
The History of Western Philosophy
Bertrand Russell
1972
[The Greeks] "discovered mathematics and the art of deductive reasoning. Geometry, in particular, is a Greek invention, without which modern science would have been impossible" (Russell, 39). The limitation to this Greek way of thinking though is that it is reasoned deductively from self-evident facts rather than inductively from empirical observations.
-Heraclitus was an aristocratic person from Ephesus.
-famous for his theory that everything is in a state of flux
-He was mystical in thought
-Fire was the fundamental substance
-everything is born by the death of something else
-there was a unity in the world, but that unity came out of the combination of opposites
-believed that mankind was so inherently bad that only force would compel them to act for their own good
-believed that War was necessary and good
-believed that strife was justice and that all things come into being and pass away through strife
-"His ethic is a kind of proud asceticism, very similar to Nietzsche's" (Russell, 42).
-The soul was a mix of fire and water, the fire being the noble part.
-Claimed the 'dry' soul was the best, but that it is pleasurable to the soul to get 'wet'. Hence, the asceticism
-He was hostile to the Bacchic religion, for example he wrote "They vainly purify themselves by defiling themselves with blood, just as if one who had stepped into the mud were to wash his feet in mud. Any man who marked him doing this, would deem him mad" (Russell, 43).
-Perpetual change was the state of the world.
-The unity in the world was a result from diversity.
-His god did not care about mankind - "To God all things are fair and good and right, but men hold some things wrong and some right" (Russell, 44).
-Like Hegel, Heraclitus seems to believe that a synthesis of opposites creates the world as it is.
-Heraclitus has a sense of cosmic justice in his system as no single thing can ever prevent one thing from totally taking over its opposite
-For Heraclitus, his God is distinct from the gods. His God is the embodiment of cosmic justice.
-Both Plato and Aristotle agreed that Heraclitus taught that nothing ever is, everything is always becoming.
-"The doctrine of perpetual flux, as taught by Heraclitus, is painful, and science, as we have seen, can do nothing to refute it. One of the main ambitions of philosophers has been to revive hopes that science seemed to have killed. Philosophers, accordingly, have sought, with great persistence, for something not subject to the empire of Time. This search begins with Parmenides" (Russell, 47).
Early Greek Philosophy
Jonathan Barnes
2001
-Heraclitus came from Ephesus in Asia Minor, circa 500 BC
-He was nicknamed 'The Obscure' and 'The Riddler'
-Even Socrates, when given a book of Heraclitus by Euripides states what he understood was splendid and was sure that what he didn't understand was splendid as well.
-Heraclitus rebuked and condemned a lot of people for their ignorance in his writings
-He claims all things are one, 'day and dusk - for they are one', 'the path of the carding-comb is straight and crooked', 'the path up and down is one and the same', etc.
-He was very critical of everyone he disagreed with, which was basically everyone. "Much learning does not teach thought - or it would have taught Hesiod and Pythagoras, and again Xenophanes and Hecataeus" (Barnes, 53).
-He defines wisdom as the ability to grasp the knowledge of how all things are steered through all.
-He was regarded by some of the ancients as arrogant and purposefully obscure
-He claimed that all things were made of fire and perished back into the fire
-Everything that exists is harmonized by the transformation of opposites
-Everything is full of souls and spirits
-He distrusted sensory perception
John Stobaeus quotes a couple of interesting Heraclitus sayings:
-It is better to hide folly than to make it public
-It is not good for men to get what they want
-To be self-controlled is the greatest excellence. And wisdom is speaking the truth and acting with knowledge in accordance with nature.
-All men can know themselves and control themselves
Again, he is not very complimentary of the common man: "For what thought or sense, he says, do they have? They follow the popular singers and they take the crowd as their teacher, not knowing that most men are bad and few good" (Barnes, 58).
He claims that most men satisfy themselves like beasts. The best men seek fame from mortals.
He is especially critical of Pythagoras. "Pythagoras, son of Mnesarchus, practiced inquiry more than any other man, and selecting from these writings he made a wisdom of his own - much learning, mere fraudulence" (Barnes, 59).
-He held that the world was uncreated
Stobaeus says "Heraclitus said that a man's character is his fate" (Barnes, 62).
On God Plutarch remarks that Heraclitus believed "In all respects superior to us, [god] is especially unlike and different from us in his acts; but of divine acts, the majority, according to Heraclitus, escape our knowledge through lack of trust" (Barnes, 66).
He claimed that philosophical men must be versed in many things
He distrusted the senses - bad witnesses for men are eyes and ears of those who have foreign souls (the mark of a foreign soul is to trust in non-rational perceptions)
War is to be praised in Heraclitus because it brings about strife, which is justice.
Aristotle describes his cosmology as the harmony achieved through the blending of the most contrary principles.
Again, he's not real complimentary of the masses, claiming that donkeys would prefer rubbish to gold.
The Classical Mind
W.T. Jones
1980
-For Heraclitus, the original stuff is fire. "This world...was ever, is now, and ever shall be an everlasting fire" (Jones, 14).
-Heraclitus was influenced by the Milesian three, but was more subtle and refined
-Heraclitus' notion to resolve the problem of how one thing becomes every thing and is still one was to make the 'one thing' a non-material thing. For Heraclitus, the one thing then was the process itself.
-For Heraclitus, who like most men have difficulty in truly thinking abstractly, let alone communicating abstract thoughts, he called this process 'fire', which is always changing and yet still fire.
-The problem for the Milesian three was they held a belief in unity and still needed to reconcile the fact that things changed. Heraclitus however in proclaiming process as the one thing went to the extreme and created the problem of permanence. Because everything was fire and process, everything was always changing. This is the state of flux.
-Flux accounts for the change. Permanence is accounted for by accepting that the thing that is changing appears permanent because the rate of change is always the same.
-In addition to the Milesian three's problem of one and the many, Heraclitus has the problem of the world as it appears and the world as it really is.
-Heraclitus did not stop at describing the physical world as the Milesian three did. He dabbled into more areas.
-He used the eternal flux in describing how politics works as well. The political system is a constant tension of opposites. For example, without strife peace could not exist.
-Heraclitus' political theory was representative of his time. There was constant strife between the various city states and peace only existed when neither of the warring city states had enough power to overcome the other. Likewise, in the individual city states the nobles and the commoners only achieved a balance of peace when neither party was powerful enough to impose their will on the other. Heraclitus was on the side of the nobility.
-Heraclitus was contemptuous of the masses.
-In addition to social theory, Heraclitus showed an interest in religion. For Heraclitus, his aristocratic contempt for the masses extended to his religious sentiments. Accepting the scientific nature of the Milesian three, he rejected the contemporary religion of the masses.
-Heraclitus is quoted as saying 'the wisest man is an ape compared to God, just as the most beautiful ape is ugly compared to man'
-Heraclitus sometimes identifies his god as the process of flux
-Heraclitus' god was not personal. It was indifferent to human conceptions of right and wrong, justice and was immune to men's prayer.
-Heraclitus equated the flux/process sometimes with 'logos'.
-Some passages indicate that Heraclitus' ethics held that the chief good of man is to listen to the logos and even become absorbed by the logos
-Heraclitus was both a scientific and religious philosopher.
The History of Western Philosophy
Bertrand Russell
1972
[The Greeks] "discovered mathematics and the art of deductive reasoning. Geometry, in particular, is a Greek invention, without which modern science would have been impossible" (Russell, 39). The limitation to this Greek way of thinking though is that it is reasoned deductively from self-evident facts rather than inductively from empirical observations.
-Heraclitus was an aristocratic person from Ephesus.
-famous for his theory that everything is in a state of flux
-He was mystical in thought
-Fire was the fundamental substance
-everything is born by the death of something else
-there was a unity in the world, but that unity came out of the combination of opposites
-believed that mankind was so inherently bad that only force would compel them to act for their own good
-believed that War was necessary and good
-believed that strife was justice and that all things come into being and pass away through strife
-"His ethic is a kind of proud asceticism, very similar to Nietzsche's" (Russell, 42).
-The soul was a mix of fire and water, the fire being the noble part.
-Claimed the 'dry' soul was the best, but that it is pleasurable to the soul to get 'wet'. Hence, the asceticism
-He was hostile to the Bacchic religion, for example he wrote "They vainly purify themselves by defiling themselves with blood, just as if one who had stepped into the mud were to wash his feet in mud. Any man who marked him doing this, would deem him mad" (Russell, 43).
-Perpetual change was the state of the world.
-The unity in the world was a result from diversity.
-His god did not care about mankind - "To God all things are fair and good and right, but men hold some things wrong and some right" (Russell, 44).
-Like Hegel, Heraclitus seems to believe that a synthesis of opposites creates the world as it is.
-Heraclitus has a sense of cosmic justice in his system as no single thing can ever prevent one thing from totally taking over its opposite
-For Heraclitus, his God is distinct from the gods. His God is the embodiment of cosmic justice.
-Both Plato and Aristotle agreed that Heraclitus taught that nothing ever is, everything is always becoming.
-"The doctrine of perpetual flux, as taught by Heraclitus, is painful, and science, as we have seen, can do nothing to refute it. One of the main ambitions of philosophers has been to revive hopes that science seemed to have killed. Philosophers, accordingly, have sought, with great persistence, for something not subject to the empire of Time. This search begins with Parmenides" (Russell, 47).
Early Greek Philosophy
Jonathan Barnes
2001
-Heraclitus came from Ephesus in Asia Minor, circa 500 BC
-He was nicknamed 'The Obscure' and 'The Riddler'
-Even Socrates, when given a book of Heraclitus by Euripides states what he understood was splendid and was sure that what he didn't understand was splendid as well.
-Heraclitus rebuked and condemned a lot of people for their ignorance in his writings
-He claims all things are one, 'day and dusk - for they are one', 'the path of the carding-comb is straight and crooked', 'the path up and down is one and the same', etc.
-He was very critical of everyone he disagreed with, which was basically everyone. "Much learning does not teach thought - or it would have taught Hesiod and Pythagoras, and again Xenophanes and Hecataeus" (Barnes, 53).
-He defines wisdom as the ability to grasp the knowledge of how all things are steered through all.
-He was regarded by some of the ancients as arrogant and purposefully obscure
-He claimed that all things were made of fire and perished back into the fire
-Everything that exists is harmonized by the transformation of opposites
-Everything is full of souls and spirits
-He distrusted sensory perception
John Stobaeus quotes a couple of interesting Heraclitus sayings:
-It is better to hide folly than to make it public
-It is not good for men to get what they want
-To be self-controlled is the greatest excellence. And wisdom is speaking the truth and acting with knowledge in accordance with nature.
-All men can know themselves and control themselves
Again, he is not very complimentary of the common man: "For what thought or sense, he says, do they have? They follow the popular singers and they take the crowd as their teacher, not knowing that most men are bad and few good" (Barnes, 58).
He claims that most men satisfy themselves like beasts. The best men seek fame from mortals.
He is especially critical of Pythagoras. "Pythagoras, son of Mnesarchus, practiced inquiry more than any other man, and selecting from these writings he made a wisdom of his own - much learning, mere fraudulence" (Barnes, 59).
-He held that the world was uncreated
Stobaeus says "Heraclitus said that a man's character is his fate" (Barnes, 62).
On God Plutarch remarks that Heraclitus believed "In all respects superior to us, [god] is especially unlike and different from us in his acts; but of divine acts, the majority, according to Heraclitus, escape our knowledge through lack of trust" (Barnes, 66).
He claimed that philosophical men must be versed in many things
He distrusted the senses - bad witnesses for men are eyes and ears of those who have foreign souls (the mark of a foreign soul is to trust in non-rational perceptions)
War is to be praised in Heraclitus because it brings about strife, which is justice.
Aristotle describes his cosmology as the harmony achieved through the blending of the most contrary principles.
Again, he's not real complimentary of the masses, claiming that donkeys would prefer rubbish to gold.
Axiomatic Geometry - The Classical Mind
The Classical Mind
W.T. Jones
1980
Axiomatic Geometry
During the 6th century BC the Greeks began to take what knowledge of Egyptian practical geometry they had and systematize it into a system for the desire of pure knowledge, that is, they didn't study it for any particular utility.
The way axiomatic geometry worked for the Greeks was to start at self-evident principles and then to use logical deductive reasoning to come up with axioms. These axioms were then combined logically to create further axioms and conclusions.
Euclid in 300 BC published Elements. "In Euclid's book, the first theorems are proved by showing that they follow directly from the axioms; then, by judicious combinations of already proved theorems with the axioms, more complex theorems are derived. In this systematic way Euclid was able to 'demonstrate' a large body of geometrical knowledge" (Jones, 20).
The effect that axiomatic geometry had on the Greek thought was far more profound than shaping mathematics. It focused Greek thought so deeply on reasoning that reason became preeminent and far more important than sensory perception.
W.T. Jones
1980
Axiomatic Geometry
During the 6th century BC the Greeks began to take what knowledge of Egyptian practical geometry they had and systematize it into a system for the desire of pure knowledge, that is, they didn't study it for any particular utility.
The way axiomatic geometry worked for the Greeks was to start at self-evident principles and then to use logical deductive reasoning to come up with axioms. These axioms were then combined logically to create further axioms and conclusions.
Euclid in 300 BC published Elements. "In Euclid's book, the first theorems are proved by showing that they follow directly from the axioms; then, by judicious combinations of already proved theorems with the axioms, more complex theorems are derived. In this systematic way Euclid was able to 'demonstrate' a large body of geometrical knowledge" (Jones, 20).
The effect that axiomatic geometry had on the Greek thought was far more profound than shaping mathematics. It focused Greek thought so deeply on reasoning that reason became preeminent and far more important than sensory perception.
Xenophanes
Xenophanes
The Classical Mind
W.T. Jones
1980
Like Heraclitus, Xenophanes attacked the old Greek theology, calling it immoral and untrue. He attacked its anthropomorphic qualities. His famous quote about the anthropomorphic qualities of Greek religion is as follows, "Yes, and if oxen and horses or lions had hands, and could paint with their hands, and produce works of art as men do, horses would paint the forms of the gods like horses, and oxen like oxen, and make their bodies in the image of their several kinds" (Jones, 19).
Xenophanes, while attacking the old gods, was not atheistic. He had one God, which was neither like man in form or thought. While this seems to be a monotheistic notion, it was probably pantheistic like Heraclitus' religion.
The reason that the populace never took up the religions of Heraclitus or Xenophanes was that it was too abstract to replace the common religion. It didn't offer the necessary emotional connection to replace the old religion. It left a void.
The History of Western Philosophy
Bertrand Russell
1972
-Xenophanes falls between Pythagoras and Heraclitus. Xenophanes references Pythagoras and Heraclitus references Xenophanes.
-Xenophanes was an Ionian but lived in Southern Italy
-He believed that all things were made of earth and water
-He believed in one God, unlike man in thought or form
-He mocked the Pythagorean theological notion of the transmigration of the soul
-He believed that any theological knowledge was impossible. Even if man happened to say something correct about God, it was by accident.
Early Greek Philosophy
Jonathan Barnes
2001
-Xenophanes was a peripatetic poet from Colophon in Ionia.
-Despite being a typical poet, writing on drink, love, war and games, he was considered a philosopher and the teacher of Parmenides
-wrote against Hesiod and Homer for their teachings about the gods
-Stobaeus, quotes Xenophanes stating that the gods did not reveal things to mortals, but through inquiry man makes discoveries
-Xenophanes criticized Homer and Hesiod for ascribing to the gods shameful and blameworthy things like theft and adultery
-Claimed that one and all is god
-believed that the one god governed everything by thought
-believed that nothing comes into being or is destroyed or changes
According to Hippolytus, Xenophanes said "All men are destroyed when the earth is carried down into the sea and turns into mud; then they begin to be born again. And this is how all the worlds begin" (Barnes, 47).
The Classical Mind
W.T. Jones
1980
Like Heraclitus, Xenophanes attacked the old Greek theology, calling it immoral and untrue. He attacked its anthropomorphic qualities. His famous quote about the anthropomorphic qualities of Greek religion is as follows, "Yes, and if oxen and horses or lions had hands, and could paint with their hands, and produce works of art as men do, horses would paint the forms of the gods like horses, and oxen like oxen, and make their bodies in the image of their several kinds" (Jones, 19).
Xenophanes, while attacking the old gods, was not atheistic. He had one God, which was neither like man in form or thought. While this seems to be a monotheistic notion, it was probably pantheistic like Heraclitus' religion.
The reason that the populace never took up the religions of Heraclitus or Xenophanes was that it was too abstract to replace the common religion. It didn't offer the necessary emotional connection to replace the old religion. It left a void.
The History of Western Philosophy
Bertrand Russell
1972
-Xenophanes falls between Pythagoras and Heraclitus. Xenophanes references Pythagoras and Heraclitus references Xenophanes.
-Xenophanes was an Ionian but lived in Southern Italy
-He believed that all things were made of earth and water
-He believed in one God, unlike man in thought or form
-He mocked the Pythagorean theological notion of the transmigration of the soul
-He believed that any theological knowledge was impossible. Even if man happened to say something correct about God, it was by accident.
Early Greek Philosophy
Jonathan Barnes
2001
-Xenophanes was a peripatetic poet from Colophon in Ionia.
-Despite being a typical poet, writing on drink, love, war and games, he was considered a philosopher and the teacher of Parmenides
-wrote against Hesiod and Homer for their teachings about the gods
-Stobaeus, quotes Xenophanes stating that the gods did not reveal things to mortals, but through inquiry man makes discoveries
-Xenophanes criticized Homer and Hesiod for ascribing to the gods shameful and blameworthy things like theft and adultery
-Claimed that one and all is god
-believed that the one god governed everything by thought
-believed that nothing comes into being or is destroyed or changes
According to Hippolytus, Xenophanes said "All men are destroyed when the earth is carried down into the sea and turns into mud; then they begin to be born again. And this is how all the worlds begin" (Barnes, 47).
Alcmaeon
Alcmaeon
Early Greek Philosophy
Jonathon Barnes
2001
-Alcmaeon came from Croton in South Italy, a city renowned for its doctors
-was a pupil of Pythagoras
-he was the first of the philosopher/physicians that became a trend in ancient Greece
-believed that the soul was immortal
-believed that most human things come in pairs
-believed that health came from the proper balance of the powers in nature. When there is too much of one thing, disease is born (too much heat causes stroke, too much cold causes coughing, etc.) "Health is the propionate blending of the qualities" (Barnes, 37)
-believed the soul to be immortal because it was like the divinities who are always in motion
-while he believed that the soul was immortal, he believed that men die
-differentiated men from animals by stating men alone understand, animals perceive but do not understand
-differentiates thinking and perceiving
Clement of Alexandria states that "Alcmaeon of Croton says that it is easier to be on your guard against an enemy than against a friend" (Barnes, 39).
Early Greek Philosophy
Jonathon Barnes
2001
-Alcmaeon came from Croton in South Italy, a city renowned for its doctors
-was a pupil of Pythagoras
-he was the first of the philosopher/physicians that became a trend in ancient Greece
-believed that the soul was immortal
-believed that most human things come in pairs
-believed that health came from the proper balance of the powers in nature. When there is too much of one thing, disease is born (too much heat causes stroke, too much cold causes coughing, etc.) "Health is the propionate blending of the qualities" (Barnes, 37)
-believed the soul to be immortal because it was like the divinities who are always in motion
-while he believed that the soul was immortal, he believed that men die
-differentiated men from animals by stating men alone understand, animals perceive but do not understand
-differentiates thinking and perceiving
Clement of Alexandria states that "Alcmaeon of Croton says that it is easier to be on your guard against an enemy than against a friend" (Barnes, 39).
Anaximenes
Anaximenes
The Classical Mind
W.T. Jones
1980
-third of the Milesian philosophers
-monist, his one stuff is air
-Rejected Anaximander's boundless because the boundless is easy to talk about but impossible to define. Every 'thing' has characteristics that make it a 'thing'. The boundless has no characteristics by definition and therefore, can't be a thing at all, let alone the one thing. He showed that Anaximander's theory, rather than solving the problem of how one thing becomes many things, it simply masks the problem.
-Air, being the one stuff for Anaximenes changes quantitatively (becoming more or less dense) that effects the qualitative change in the many things that air becomes through this process.
-"Anaximenes laid the basis for a quantitative description of the world" (Jones, 14).
The History of Western Philosophy
Bertrand Russell
1972
-The fundamental substance for Anaximenes was air. "The soul is air; fire is rarefied air; when condensed, air becomes first water, then if further condensed, earth, and finally stone" (Russell, 28).
-Anaximenes advance was to make the difference between substances quantitative.
-The earth is shaped like a round table and air encompasses it. The air holds up the earth like the soul (also made of air) holds man together
-Influenced Pythagoras
Early Greek Philosophy
Jonathan Barnes
2001
-Unlike his earlier contemporary Anaximander who wrote in 'somewhat poetical words', Anaximenes wrote in a simple and economical style
-Principle substance is limitless air, from which what is coming, is and what was is composed of.
-The air is always in motion
-Air becomes other substances either by becoming rarefied or by condensing.
-Earth is flat. The sun and the moon and other heavenly bodies are flat and ride in the air because of their flatness
-"The heavenly bodies have come into being from earth, because mist rises from the earth and is rarefied and produces fire, and the heavenly bodies are composed of this fire when it is aloft" (Barnes, 24).
-our souls are air and hold us together, breath and air encompass the whole world
-Air, the first principle is necessarily limitless because it never gives out
The Classical Mind
W.T. Jones
1980
-third of the Milesian philosophers
-monist, his one stuff is air
-Rejected Anaximander's boundless because the boundless is easy to talk about but impossible to define. Every 'thing' has characteristics that make it a 'thing'. The boundless has no characteristics by definition and therefore, can't be a thing at all, let alone the one thing. He showed that Anaximander's theory, rather than solving the problem of how one thing becomes many things, it simply masks the problem.
-Air, being the one stuff for Anaximenes changes quantitatively (becoming more or less dense) that effects the qualitative change in the many things that air becomes through this process.
-"Anaximenes laid the basis for a quantitative description of the world" (Jones, 14).
The History of Western Philosophy
Bertrand Russell
1972
-The fundamental substance for Anaximenes was air. "The soul is air; fire is rarefied air; when condensed, air becomes first water, then if further condensed, earth, and finally stone" (Russell, 28).
-Anaximenes advance was to make the difference between substances quantitative.
-The earth is shaped like a round table and air encompasses it. The air holds up the earth like the soul (also made of air) holds man together
-Influenced Pythagoras
Early Greek Philosophy
Jonathan Barnes
2001
-Unlike his earlier contemporary Anaximander who wrote in 'somewhat poetical words', Anaximenes wrote in a simple and economical style
-Principle substance is limitless air, from which what is coming, is and what was is composed of.
-The air is always in motion
-Air becomes other substances either by becoming rarefied or by condensing.
-Earth is flat. The sun and the moon and other heavenly bodies are flat and ride in the air because of their flatness
-"The heavenly bodies have come into being from earth, because mist rises from the earth and is rarefied and produces fire, and the heavenly bodies are composed of this fire when it is aloft" (Barnes, 24).
-our souls are air and hold us together, breath and air encompass the whole world
-Air, the first principle is necessarily limitless because it never gives out
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