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Zeno of Elea › Who Was

Definition and Origins

by Joshua J. Mark
published on 02 September 2009
Zeno of Elea (Carducci / Tibaldi)

Zeno of Elea (c.465 BCE) was a Greek philosopher of the Eleatic School and a student of the elder philosopher Parmenides(an older contemporary of Socrates ). Little is known of Zeno's life outside of his association with the Eleatic School founded by Parmenides. Parmenides argued against the validity of our senses and the supposed `truth' they tell us about the world. As with all of the extant writings of the Pre-Socratic philosophers, Parmenides' work seeks to establish the underlying form of being, that essential 'stuff' from which all of life and the sensible world comes. Parmenides claimed that the previous definitions for this 'stuff' were wrong in that they posited individual elements like water ( Thales of Miletus ) or Air ( Anaximenes ) when, actually, all of reality and observable existence was One. Parmenides would argue that if a person were to place a board and a hammer and a nail on a table, sense perception would indicate three separate objects on that table. Parmenides, however, would claim that this perception would be wrong as the board, hammer, and nail are all composed of the same basic material and participate in the unity of existence and so, in spite of what we might conclude through the senses, the three objects are really one. As Parmenides had many critics, Zeno, in his famous Paradoxes, sought to prove the truth of his master's claim logically and so silence those who sought to prove him wrong.

ZENO'S PARADOXES

Zeno set about to prove the unity of existence mathematically. Arguing against motion, the senses, and plurality, he wrote 40 paradoxes showing how, logically, change and motion cannot exist (of these 40, contained in one volume, less than ten exist today). His best known are The Race Course, The Achilles, The Arrow, and The Stadium, all of which prove the logical impossibility of plurality and motion. Zeno's paradoxes have fascinated mathematicians and logicians for hundreds of years and have yet to be satisfactorily solved.

ZENO'S PARADOXES HAVE FASCINATED MATHEMATICIANS & LOGICIANS FOR HUNDREDS OF YEARS & HAVE YET TO BE SATISFACTORILY SOLVED.

The paradox of The Race Course, to use just one example, shows how motion is a lie of the senses and cannot logically exist.This paradox claims that, if a runner is to sprint 100 metres, she must first travel half that distance. In order to travel half that distance, she must first travel half that distance and, to do that, she must first travel half that distance. By this progression, Zeno showed that, no matter how small a distance was left, it was still impossible, logically, for the runner to ever meet her goal. No matter how far or near, there would always be a distance which separated the runner from the goal. In this same way, Zeno argued, all of perceived reality is One, unchanging and eternal, and the perception that human beings live in a world of plurality, of `the many' (many things, people, places) is an illusion created by the senses.

PLATO 'S CRITICISM

In his dialogue of the Parmenides, Plato sets down the fundamental criticism of the claims of Parmenides and Zeno when he has Socrates say,
If a person could prove the absolute like to become unlike, or the absolute unlike to become like, that, in my opinion, would indeed be a wonder; but there is nothing extraordinary, Zeno, in showing that the things which only partake of likeness and unlikeness experience both. Nor, again, if a person were to show that all is one by partaking of one, and at the same time many by partaking of many, would that be very astonishing. But if he were to show me that the absolute one was many, or the absolute many one, I should be truly amazed. And so of all the rest: I should be surprised to hear that the natures or ideas themselves had these opposite qualities; but not if a person wanted to prove of me that I was many and also one. When he wanted to show that I was many he would say that I have a right and a left side, and a front and a back, and an upper and a lower half, for I cannot deny that I partake of multitude; when, on the other hand, he wants to prove that I am one, he will say, that we who are here assembled are seven, and that I am one and partake of the one. In both instances he proves his case. So again, if a person shows that such things as wood, stones, and the like, being many are also one, we admit that he shows the coexistence the one and many, but he does not show that the many are one or the one many; he is uttering not a paradox but a truism. If however, as I just now suggested, some one were to abstract simple notions of like, unlike, one, many, rest, motion, and similar ideas, and then to show that these admit of admixture and separation in themselves, I should be very much astonished. This part of the argument appears to be treated by you, Zeno, in a very spirited manner; but, as I was saying, I should be far more amazed if any one found in the ideas themselves which are apprehended by reason, the same puzzle and entanglement which you have shown to exist in visible objects. (127E)
In this passage, Socrates is asking how the `many' can be `one' in the physical, not just the abstract, world. The board, hammer, and nail placed on the table are, clearly, three objects which do not partake in the properties of each other. The board is made of wood, the hammer of wood and metal, the nail of metal alone. These objects cannot possibly be categorized as `one' but must, of necessity, be considered `many'.

ZENO RESPONDS

Zeno countered this argument by showing that the `many' have to be `one' because, for plurality to exist, logic could not. Since logical sequence and understanding does exist, there can be no plurality. Professor JM Robinson comments on this, writing, "As we can see from the first hypothesis of the first argument of Zeno's treatise, the thesis that things are a many give rise to consequences that are inconsistent even with one another; for if things are a many they must be `both like and unlike' and this is impossible not because it violates sense perception (which is, after all, fallible), but because it violates the law of contradiction, which lies at the basis of all thought" (128). One cannot, then, claim that the board, hammer, and nail are `many' in that the three objects partake of the same basic substance of the One. A person may look at the three objects and claim there are `many' objects on the table but that would only be an expression of trust in sense perception, not a valid apprehension of the truth.
Zeno maintained that trust in the senses leads to contradictory conclusions, in that something which exists and 'is' cannot not exist and not be, and yet our senses tell us that everything is always changing from what it 'is' to something it 'is not'. This assertion stands in contradiction to Heraclitus' claim that "Life is Flux" and everything is in constant motion and transformation.To Zeno, this was a faulty conclusion based upon unreliable sense perception. That which is cannot not be because it would then contain within itself the contradiction of having the qualities of `being' and `not being' and, as this defies logic, it cannot be held as true. In this, both Parmenides and Zeno were at complete odds with the philosophy of Heraclitus but, at the same time, seemed to share his belief that the majority of human beings could not, or would not, seek to understand the truth behind the apparent reality which the senses provide.

Alcestis › Who Was

Definition and Origins

by Joshua J. Mark
published on 24 July 2014
Hercules Fighting Death to Save Alcestis (Transferred from en.wikipedia to Commons by Ntetos using CommonsHelper)

Alcestis was the mythical queen of Thessaly, wife of King Admetus, who came to personify the devoted, selfless, woman and wife in ancient Greece. While the story of Admetus' courtship of Alcestis was widely told, she is best known for her devotion to her husband in taking his place in death and her return to life through the intervention of the hero Herakles (better known as Hercules ). There are two versions of Alcestis' story, one in which Hercules plays no part at all, but thanks to the playwright Euripides (480-406 BCE), and his play Alcestis (written 438 BCE) the version featuring Hercules is the better known.

ALCESTIS & ADMETUS

Both versions begin the same way and emphasize the importance of loyalty, love, and kindness. Once upon a time there lived a gentle king named Admetus who ruled over a small kingdom in Thessaly. He knew each of his subjects by name and so, one night when a stranger appeared at his door begging for food, he knew the man must be from a foreign land but welcomed him into his home anyway. He fed and clothed the stranger and asked him his name, but the man would give no answer other than to ask Admetus if he could be the king's slave. Admetus had no need for another slave but, recognizing the man was in distress, took him on as shepherd for his flocks.

IN THE OLDER VERSION OF THE STORY, ADMETUS WAKES ON HIS BED FEELING BETTER AND RUNS TO TELL ALCESTIS HE IS CURED, ONLY TO FIND IT WAS SHE WHO TOOK HIS PLACE IN THE UNDERWORLD.

The stranger stayed with Admetus for a year and a day and then revealed himself as the god Apollo. He had been sent to earth by Zeus as punishment and could not return to the realm of the gods until he had served a mortal as a slave for a year.Apollo thanked Admetus for his kindness and offered him any gift he desired, but Admetus said he had all he needed and required nothing for what he had done. Apollo told him he would return to help him whenever he needed anything in the future and then vanished.
Not long after this, Admetus fell in love with the princess Alcestis of the neighboring city of Iolcus. Alcestis was kind and beautiful and had many suitors but only wanted to marry Admetus. Her father Pelias, however, refused Admetus' request for her hand and stipulated that the only way he would give his daughter to him would be if he rode into the city in a chariot pulled by a lion and a wild boar. Admetus was despondent over this situation until he remembered the promise of Apollo. He called on the god who appeared, wrestled a lion and a boar into submission, and yoked them to a golden chariot. Admetus then drove the chariot to Iolcus, and Pelias had no choice but to give him Alcestis in marriage. Apollo was among the wedding guests and gave Admetus an unusual gift: a kind of immortality. Apollo told them how he made a deal with the Fates who governed all so that, if ever Admetus became sick to the point of death, he might be well again if someone else would volunteer to die in his place.
The couple lived happily together for many years and their court was famous for their lavish parties but then, one day, Admetus fell ill and the doctors said he would not recover. The people of his court remembered the gift of Apollo and each felt that someone should give their life to save so kind and good a king, but no one wanted to do so themselves. Admetus' parents were old and so it was thought that one of them would volunteer but, even though they had only a short time left on the earth, they refused to surrender it. None of the court, nor any of Admetus' family, nor any of his subjects would take the king's place on his death bed - but Alcestis did.
At this point the two stories diverge. In the older version, Admetus wakes on his bed feeling better and runs to tell Alcestis he is cured, only to find it was she who took his place. He then sits by her body in mourning and refuses to eat or drink for days.As this is going on, Alcestis' spirit is led down into the underworld by Thanatos (death) and presented to Queen Persephone.Persephone asks who this soul is who has come willingly to her realm, and Thanatos explains to her the situation. Persephone is so moved by the story of Alcestis' love and devotion to her husband that she orders Thanatos to return the queen to life.Alcestis and Admetus then live happily ever after.
The Abduction (Hercules and Alcestis)

The Abduction (Hercules and Alcestis)

HERCULES & ALCESTIS

In the version popularized by Euripides in his play Alcestis, however, Hercules plays the pivotal role in bringing Alcestis back from the dead. In this version, as in the first, no one will take Admetus' place in death except for Alcestis. Admetus is informed of this, accepts her sacrifice, and begins to recover as his queen grows weaker. The entire city falls into mourning for Alcestis as she hovers on the brink between life and death. Admetus stays by her bedside and she requests that, in return for her sacrifice, he should never marry again and so keep her memory alive. Admetus agrees to this and also swears he will never throw another of their parties again nor allow any merrymaking in the palace once she has gone; after these promises are made, Alcestis dies.
Hercules was an old friend of the couple, and he arrives at the court knowing nothing of Alcestis' death. Admetus, not wishing to spoil his friend's arrival, instructs the servants to say nothing about what has transpired and to treat Hercules to the kind of party the court was known for. The servants, however, are still upset over the loss of the queen, and Hercules notices that they are not serving him and his entourage properly. After a number of drinks, he begins to insult them and ask for the king and queen to come remedy this poor performance on the servant's part, when one of the maidservants breaks down and tells him what has recently happened.
Hercules is mortified by his behavior and so travels to the underworld where Thanatos is leading Alcestis' spirit toward Persephone's realm. He wrestles death and frees the queen, bringing her back up into the light of day. Hercules then leads her to where Admetus is just returning from her funeral. He tells the king that he must depart because he is in the midst of performing one of his Twelve Labors (to bring back the Mares of Diomedes) and asks him to take care of this lady while he is gone. Admetus refuses because he promised Alcestis that he would never marry again, and it would be unseemly for this woman to reside at the court so soon after his wife's death. Hercules insists, however, and places Alcestis' hand in Admetus'.Admetus lifts the woman's veil and finds it is Alcestis returned from the dead. Hercules tells him that she will not be able to speak for three days, and will remain pale and shadow-like, until she is purified, after which time she will become as she always was. Euripides' play ends there, while other versions of the myth continue the story further and conclude with everything then happening as Hercules has said, and Alcestis and Admetus living a long and happy life together until Thanatos returns and takes them both away together.

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