# Achilles

## Definitions

• ACHILLES PITIES PENTHESILEA AFTER SLAYING HER
• WordNet 3.6
• n Achilles a mythical Greek hero of the Iliad; a foremost Greek warrior at the siege of Troy; when he was a baby his mother tried to make him immortal by bathing him in a magical river but the heel by which she held him remained vulnerable--his `Achilles' heel'
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Century Dictionary and Cyclopedia
• n Achilles An argument, otherwise called ‘Achilles and the Tortoise,’ which was proposed by Zeno of Elea to prove that motion is impossible. Suppose that Achilles runs parallel to the tortoise, which is moving slowly in the same direction and is at the start some distance ahead of Achilles. The argument is that Achilles never will overtake the tortoise, because in order to do so he must first move to the point at which the tortoise started, and when he arrives there the tortoise will again be a certain distance ahead and the same condition of things will be repeated. Hence Achilles will not overtake the tortoise until he has completed or ended a series of advances which has no completion or end. The argument is absurd from both the logical and the mathematical point of view.
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## Quotations

• Homer
“Achilles absent was Achilles still!”
• Sir Philip Sidney
“Alexander received more bravery of mind by the pattern of Achilles, than by hearing the definition of fortitude.”

## Idioms

Achilles' heel - A person's weak spot is their Achilles' heel.
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## Usage

### In literature:

Do you remember that scene in the Nekuia, where the Eidolon of Achilles comes slowly through the twilight to meet his old brother in arms?
"Guy Livingstone;" by George A. Lawrence
The word "hero" calls up such figures as Achilles, Patroklos, Hector, figures of passion and adventure.
"Ancient Art and Ritual" by Jane Ellen Harrison
He will then have the answer to the old Eleatic conundrum of when Achilles will overtake the tortoise.
"Creative Chemistry" by Edwin E. Slosson
"Modern Prose And Poetry; For Secondary Schools" by Various
Achilles, for instance, enters into conversation with various people, and goes out hunting.
"Greek and Roman Ghost Stories" by Lacy Collison-Morley
Achilles in his sorrow vows vengeance on Troy.
"Lists of Stories and Programs for Story Hours" by Various
His five-foot stature and his hundred pounds of weight did not fit the part of Achilles.
"A Man for the Ages" by Irving Bacheller
I see pictures and read books in which are the names Penelope, Juno, Achilles, Hercules, and so on.
"St. Nicholas Magazine for Boys and Girls, Vol. 5, October 1878, No. 12" by Various
Agamemnon was no more than the intelligent ruler, Achilles the headstrong hero, Odysseus the cunning adventurer.
"The Evolution of Love" by Emil Lucka
When a victim fell before Achilles or Diomedes, that victim begged for mercy.
"The Golden Censer" by John McGovern
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### In poetry:

Day is the hero's shield,
Achilles' field,
The light days are the angels.
We the seed.
"Harvest" by Kathleen Raine
In scornful sloth Achilles slept,
And for his wench, like Tallboy, wept,
Till they brought back the parson's daughter.
"Alma; or, The Progress of the Mind. In Three Cantos. - Canto I." by Matthew Prior
Thou who wast wont of commoner clay to build
Some rough Achilles or some Ajax tall;
Thou whose free brush too oft was wont to gild
Some single virtue till it dazzled all;--
"On William Francis Bartlett" by Francis Bret Harte
And as Achilles' fleet the Trojan waters sweeps,
So horror sways the throng,--Pfefferius sleeps!
And stalwart Konnor, though by Mercury inspired,
The Equus Carolus defies, and is retired.
"At The Ball Game" by Roswell Martin Field
"I have Apollo on a horse, Minerva on a wheel,
Hercules going fishing with his basket and his creel.
A Mercury on roller-skates, Diana with a hat,
And Venus playing tennis with Achilles at the bat.
"Found Wanting" by Carolyn Wells
"You see the faces of spear-handling kings
In the old books they taught us from at school;
Big Agamemnon with his curly beard,
Achilles in the cruelty of his youth,
And Oedipus before he tore his eyes.
"Lee" by Stephen Vincent Benet

### In news:

Suggs is rehabbing from April surgery for a partially torn Achilles tendon.
Former Syracuse center Rick Jackson's season in France cut short due to ruptured Achilles.
GM's Military Discount Program underwrites several Achilles Freedom Team competitions and has supplied cycles and a Chevrolet Silverado HD for transporting them.
Dante Achille Marcuccio, the self-proclaimed "World's Greatest Living American", died on Thursday, November 22, 2012, in his home in League City, TX at the age of 73- thirty three years after he first predicted.
Perrysburg graduate and now UT senior defensive end TJ Fatinikun tore his achilles Saturday and will miss the rest of the season.
What exactly is an "Achilles heel".
Compiled by Chet Hardin, Achille Ngoma and Pam Zubeck.
Eccentric Strengthening for Achilles Tendinopathy (Am J Phys Med Rehabil 2012.
30 am about four miles west of Achille.
"That was an Achilles' heal for the virus," Whitehead explained.
Although the forward missed all of last season with an Achilles injury, the Griz tendered a qualifying offer to Darrell Arthur on Friday.
US skier Nyman fully healed from torn Achilles.
Skier Nyman fully healed from torn Achilles.
He made a surprisingly quick return from offseason Achilles' surgery but then he tore his biceps Dec 2 against the Pittsburgh Steelers.
Monster Transmission & Performance owner Achilles Thomas proudly showcases the 2012 Florida Company to Watch award in his restored 1968 Camaro.
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### In science:

Assume now Achilles is just on the point 0 at the precise instant t0 .
The Aleph-zero or zero dichotomy
We will focus our attention just on the way Achilles performs such a traversal.
The Aleph-zero or zero dichotomy
For this, let fz ∗ (t) be the number of Z∗ -points Achilles has traversed at the precise instant t, being t any instant within the closed real interval [t0 , t1 ].
The Aleph-zero or zero dichotomy
In this way fz ∗ deﬁnes a clair dichotomy, the aleph-zero or zero dichotomy,27 regarding the numbers of Z∗ -points Achilles has traversed when moving rightward from -1 to 1 along the X axis.
The Aleph-zero or zero dichotomy
Accordingly, with respect to the number of the traversed Z∗ -points, Achilles can only exhibit two states: (1) State A0 : Achilles has traversed zero Z∗ -points. (2) State Aℵ0 : Achilles has traversed aleph-zero Z∗ -points.
The Aleph-zero or zero dichotomy
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