Showing posts with label pythagoras. Show all posts
Showing posts with label pythagoras. Show all posts

Saturday, September 7, 2013

Aristotle on Pythagoras

Given the prominence offered Pythagoras in Metamorphoses 15, it might be worth noting that Aristotle's early work in the dialogue form, entitled Protrepticus, was preoccupied with the work of that early school of philosophy. The link goes to a new reconstruction of Aristotle's piece, apparently composed while he was still a student at Plato's Academy.

In this snippet from the dialogue, a character named Heraclides is speaking of Pythagoras:
He took a philosophical view of many of the truths of mathematics, and made them part and parcel of his own projects, even the ones handed down to him by others, and made them fit in a suitable arrangement, he conducted the appropriate investigations about them, and produced the same agreement always in all respects, so that it never violates its logical consequence.
And he fashioned them into a starting point for his instruction, which was capable of guiding his listeners, if any of them by sufficient experience could understand the terms sufficiently. Indeed, in the purity, subtlety, and precision of his demonstrations, surpassing every similar type of theoretical observation of other things, he both employs great clarity and sets out from evident facts; and the most beautiful thing in it turns out to be its being high-minded and aspiring to the primary causes, and it both fashions its teachings for the sake of practical affairs and also lays hold of the things in a pure way, the mathematical theorems at times even combining with the theological ones. [68.2]

via rogueclassicism

Monday, June 17, 2013

Living after life: Aesculapius and other remnants

With the tale of Aesculapius and his relocation to Rome from Epidaurus in Metamorphoses 15, it might help to bear in mind that after nearly being killed by his father Apollo, in some versions of his life he was "killed" by Zeus:
According to Roman era mythography,[14] the figure represents the healer Asclepius, who learned the secrets of keeping death at bay after observing one serpent bringing another healing herbs. To prevent the entire human race from becoming immortal under Asclepius' care, Zeus killed him with a bolt of lightning, but later placed his image in the heavens to honor his good works.
In Metamorphoses 2, Ovid has Ocyrhoe, the daughter of Chiron, blurt out the end of Aesculapius, changing into a horse as she speaks:
‘Grow and thrive, child, healer of all the world! Human beings will often be in your debt, and you will have the right to restore the dead. But if ever it is done regardless of the god’s displeasure you will be stopped, by the flame of your grandfather’s lightning bolt, from doing so again. From a god you will turn to a bloodless corpse, and then to a god who was a corpse, and so twice renew your fate.'
The act of healing that brought death and godhead to Aesculapius is usually considered to be his restoration of Hippolytus.

Rome's welcome of Aesculapius clearly echoes the paean of Athenians upon recognizing their strange visitor to be Aegeus's long-hidden son and the city's future king, Theseus. In the Olympian mode, Theseus occasioned the end of both his father and his son.

The juxtaposition of the death of Hippolytus with the transfer of Aesculapius to Rome suggests, once again, that the turn of the poem, and of the world, from Greece to Rome is linked both to an alteration of identity and to something like a metamorphosis of death. Italy emerges in book 15 as an after-living -- a wooded land in which the Trojan people, Pythagorean thought, the son of Theseus, and the son of Apollo do not die. Rather, having suffered a Glaucus-like sea-change, they appear new and strange. The power is there, but estranged from itself. The welcoming throngs don't re-cognize Aesculapius, he's new.

This life after life seems less an overcoming Hades and the Olympians than a distancing, a flowing away from them, an attenuation and a concealment. As forecast by Saturn's flight to Italy, who too lives on, in Latium.

Tuesday, May 14, 2013

Milton's favorites, Pythagoras on weapons

According to Samuel Johnson, John Milton in his latter years had three favorite authors:
The books in which his daughter, who used to read to him, represented him as most delighting, after Homer, which he could almost repeat, were Ovid's Metamorphoses and Euripides.


Pythagoras on "weapon control":

“Let the laws rule alone. When weapons rule, they kill the law.”

Tuesday, May 7, 2013

Figuring Pythagoras

Pythagoras turned geometrical philosophy into a form of liberal education by seeking its first principles in a higher realm of reality. Proclus.

In The Presocratic Philosophers, Kirk and Raven are clear that a teacher named Pythagoras did exist, flourishing around 530 BC:

"There can be no doubt that Pythagoras founded in Croton a sort of religious fraternity or order," they write, adding that Aristotle wrote about his circle as one of the "Italian schools" of philosophy.

Very little is known for certain about his teachings, or those of his successors, but the recurrent note is the unusual tension in his work, which appears to have interwoven three strands: (1) a highly abstract contemplative approach to theory, (2) a sense of the cosmos as a stable, orderly universe, and (3) a concern with catharsis, purification, which was especially linked with music. Kirk and Raven cite an ancient text:
 The Pythagoreans, according to Aristoxenus, practised the purification of the body by medicine, that of the soul by music.
The tension within what is considered characteristic of Pythagorean thought has to do with an effort to synthesize cold, rational, changeless mathematical clarity (space) with passionate and intense interest in things developing, moving, changing -- the marvel of the new (time).
         . . . nihil est toto, quod perstet, in orbe.  (177)
         Cuncta fluuntomnisque vagans formatur imago;
        there is nothing in the whole universe that persists. Everything flows, and is formed as a fleeting image.
If all we can possess are wandering (vagans) images, then, in truth, we can't hold on to truth. The philosopher here seems to be envisioning the world itself as something that can only be an image, and not a stable one -- the critique of knowledge as being ever contingent, limited, and mutable is no longer a critique of knowledge, but rather is in "fact" the world that we can know. The cave of Morpheus is less distant than we thought.

Adding up all this that can never be known yields a sum that is known never to change:
     summa tamen omnia constant. (250)
     the total sum is constant. 

Ancient sources attribute the term Kosmos to Pythagoras -- the idea that there is order in the universe. Given such order, it seemed inevitable to the Greeks that there would be harmony. Pythagoras is believed to have originated the thought of "the music of the spheres." And according to other ancient sources, he was the first to use the term "philosopher."


The figure of Pythagoras brings together the difficult polarities of art and music, the realm of theory and the power of voice, Apollo and Dionysus. According to ancient comment, Pythagoras' initial effort to yoke these contraries broke apart after his death into two separate schools -- one tending toward the mystical, one toward the mathematical. It is this complication, this callida iunctura within Pythagoras, that would have appealed to Ovid. Here was a philosopher who sang the world as if the play of poetic making were not something said about the world, but rather something in and of the world about which philosophers attempt to speak.
If one were to believe the Pythagoreans, with the result that the same individual things will recur, then I shall be talking to you again sitting as you are now, with this pointer in my hand, and everything else will be just as it is now, and it is reasonable to suppose that the time then is the same as now. Porphyrius, Vita Pythagorae. 

Friday, April 26, 2013

Pursuing Pythagoras

The appearance of Pythagoras in Metamorphoses 15 is a remarkable instance of Ovid's poetic risk-taking. This time he quite deliberately blurs the boundaries of poetry and philosophy, even as the long speech of the ancient sage raises more interpretive difficulties than can be addressed here.

What, for example, to make of a voice of wisdom that seems to skate through a curious set of topics as diverse as hyperbolical vegetarianism, metempsychosis, the Eternal Flux, the Four Ages of Man, the elements, geologic changes, physical changes, autogenesis, the Phoenix, transfers of power, and the sanctity of life? The subtopics are even more varied; these are just the headers from Kline's translation.

The voice of the wise man is at times serene, and at other moments heated -- urgent in its call for an understanding of life that would find the eating of animal flesh inhuman. To him, meat-eaters appear to be the moral equivalent of Thyestes or Polyphemus.

Nowhere does this voice sound more enigmatic than when, in introducing his claims of godlike knowledge, Pythgoras assures us that his lips are being moved by the Delphic god:
Et quoniam deus ora movet, sequar ora moventem 
rite deum Delphosque meos ipsumque recludam 
aethera et augustae reserabo oracula mentis
Magna nec ingeniis investigata priorum 
quaeque diu latuere, canam;

‘Now, since a god moves my lips, I will follow, with due rite, the god who moves those lips, and reveal my beloved Delphi and the heavens themselves, and unlock the oracles of that sublime mind. I will speak of mighty matters, not fathomed by earlier greatness, things long hidden.'
It's hard to overstate how strange this statement is.

Monday, April 15, 2013

Formless air: Motifs in Metamorphoses 15

When Egeria, consort of Numa Pompilius, disconsolately liquifies at Aricia (Metamorphoses 15:479 ff.), her transformation distinctly echoes the tale of Canens in Book 14, whose lover Picus was lost to her through the wiles of Circe. Canens, the daughter of Janus, evaporates at Rome's river:
The Tiber saw her last, with grief and toil
wearied and lying on his widespread bank.
In tears she poured out words with a faint voice,
lamenting her sad woe, as when the swan
about to die sings a funereal dirge.
Melting with grief at last she pined away;
her flesh, her bones, her marrow liquified
and vanished by degrees as formless air
and yet the story lingers near that place,
fitly named Canens by old-time Camenae!’
The Camenae were nymphs who came to be associated with the Greek Muses. They consisted of Carmenta < carmen (English: "charm") a goddess of childbirth and prophecy, and artificer of the Latin alphabet, her two sisters, Antevorta, goddess of the future, and Postvorta, goddess of the past, and, interestingly, Egeria.

Antevorta, Postvorta, Egeria

Thus the mourning of Canens and Egeria in 14 and 15 are joined not merely in an echoic pathos of vanishing nymphs, but also in linking Canens, lamenting her Picus, and Egeria, mourning Numa, to the fountainheads of Latin and ultimately Greek inspiration. But where the Greek often ends in an Apollonian, visual representation -- recall Circe's statue of Picus at her palace -- these Italic muses dissolve into air, flow, voice.

Friday, April 12, 2013

Pythagoras and the Metrics of Heaven

After Metamorphoses 15, anyone curious to know more about Pythagoras and the impact of what was made of his thinking in after times might want to have a look at Measuring Heaven: Pythagoras and His Influence on Thought and Art in Antiquity and the Middle Ages, by Christiane L. Joost-Gaugier (Cornell UP, 2007).

From the portions of the book accessible via Google it's clear the author has pursued Pythagorean themes and mathematical insights tenaciously though the Middle Ages and into the Renaissance, tracing the impacts upon church architecture and Renaissance art. Indeed, she indicates early on that her initial inspiration for her study derived from the works of Raphael:


Thursday, April 11, 2013

After Numa: "The ghastly priest"

Numa's trip to Croton gives us the opportunity to hear Pythagoras's speech. It's one of the longest of the Metamorphoses, comparable to that of Ulysses. (A comparative look at the philosopher from Samos with the hero of Ithaca might prove worthwhile, when time permits.)

More to the point for Metamorphoses 15 is to hear the voice of Pythagoras within the strange narratives that frame it. It's tempting, and far too simplistic, to take the philosopher's speech as in some sense a privileged "reading" of what has come before it. To be sure, Pythagoras does "cover" some of the same ground as books 1-14, with a strong emphasis upon mutability, along with an even stronger ethical argument against the eating of flesh. The Greek contemplative mind is here on display -- far-ranging, vivid, and eloquent. It is accompanied by claims of inspiration from Delphi, elements of prophecy, and extraordinary powers of conception and knowledge.

Yet if Pythagoras wants to have the last word, he certainly doesn't get to have it here. His speech is preceded by the tale of Heracles and Croton. It ends by reiterating the warning against devouring living creatures, beginning with an allusion to the high-flying Phaethon of Book 2 before going on to compare the eating of animals to Thyestean feast, and ending with a warning not to bite off more than we might wish to chew:
Let your mouth be free of their blood, enjoy milder food!
ora cruore vacent alimentaque mitia carpant!
Immediately following this, Numa returns to his people:
he taught the sacred rituals, and educated a savage, warlike, race in the arts of peace 
and dies, in the space of six lines.

Lake Nemi, John Robert Cozens
The "segue" that follows is complex and unexpected. Egeria, mourning Numa, melts into a spring in "Oresteian Diana's" sacred grove in Aricia, but not before receiving cold comfort from Hippolytus, who will vividly evoke the climax of the Phaedra. With no preparation or foreshadowing, we pass from Numa's "arts of peace" to a sacred place suffused with Greek nightmares about innocent sons of accursed royal houses: Orestes of the House of Atreus and Thyestes, and Theseus' blameless son Hippolytus, destroyed by Phaedra, daughter of Minos and Pasiphaë.

Ovid doesn't drop these references casually. Orestes, the murderer of a murderous mother, and Hippolytus, destroyed by his father's curse at this stepmother's behest, both had come to this Nemorean grove. It was here that Hippolytus instituted the office of Rex Nemorensis, priest of Diana, says Pausanias. The kingship was open to no freemen; only to slaves. To accede to the throne, the escapee had to kill the previous priest, also a former slave, in single combat. The tale attracted the attention of Macaulay:
From the still glassy lake that sleeps
Beneath Aricia's trees--
Those trees in whose dim shadow
The ghastly priest doth reign,
The priest who slew the slayer,
And shall himself be slain 
It inspired Sir James Frazer as well. As Wikipedia notes, the "successful candidate had first to test his mettle by plucking a golden bough from one of the trees in the sacred grove."

As Book 15 moves from Pythagoras to Numa to Hippolytus and eventually Aesculapius, Ovid gives us a good deal to ponder: A peaceable Sabine king dies, his consort hides in triform Diana's grove in Aricia, a place haunted by memories of powerlessness, of refugees from accursed feasts and Cretan labyrinths, the site of a lurid rite of passage and a savage succession of kings.



Wednesday, April 3, 2013

Numa's quest for the rule of wisdom

The story was told that the founders of Crotona and Sybaris both consulted the Oracle at Delphi at the same time and were given the choice of wealth or health; Archias the founder of Sybaris chose wealth, while Myskellos chose health. (1, 2)

With the deaths of Romulus/Quirinus and Hersilia/Hora, the foundations of the Roman "thing" are set. Romulus can depart, and become a new god with an Etruscan name, because the young state was strong enough not to depend upon the particular strengths and talents of a single leader.

Ovid has Mars speak that judgment:
Mars, removing his helmet, addressed the father of gods and men in these words: ‘The time has come, lord, to grant the reward (that you promised to me and your deserving grandson), since the Roman state is strong, on firm foundations, and does not depend on a single champion: free his spirit, and raising him from earth set him in the heavens.
'tempus adest, genitor, quoniam fundamine magno
res Romana valet nec praeside pendet ab uno,
praemia, (sunt promissa mihi dignoque nepoti)           810
solvere et ablatum terris inponere caelo.'
Ovid's re-vision of the war god, who removes his helmet (perhaps recalling Homer's tender description of Hector removing his helmet when it scared his young son) -- Mars' thoughtful and attentive memory, his care for his son, is bold but doesn't draw attention to itself. It's interesting that it is the king who is to be "freed" -- when the res Romana is strong enough, the people can let the king go -- a reversal of the usual vision of top-down power structures.

Book 15 begins with a question -- the first word, Quaeritur, underscores the state of uncertainty, rich with the potential for disaster, that comes with the power vacuum after the death of a king (it was in the air.) The question of succession is felt with urgency: Romulus is dead, who shall succeed, and how shall he lead?
Quaeritur interea qui tantae pondera molis
sustineat tantoque queat succedere regi:
This being a poem by Ovid, the quest for a ruler worthy to succeed Romulus is not simply a matter of history or of political science. Instead we get a richly suggestive antipasto involving Hercules, on his return from his 10th labor, visiting Croton, then returning in the dreams of Myscellus several hundred years later, prodding the young man to leave his home city and travel to Italy, where his city will shelter Pythagoras who in turn will host Numa. Dreams, signs, harbingers, become a strong motif in book 15.

If it seems somewhat unconventional to fashion the story of Numa by mixing the legend of the greatest action hero with the history of ancient Crotona we can say it has the strangeness of Ovidian storytelling.

Pythagoras
Instead of telling the succession of kings in the literal historical register of "first came x, followed by y," Ovid chooses to portray the event of Numa's reign as the moment when the provincial Sabine-Roman people acceded to the scientific and philosophical breadth and power of Pythagoras, the sage whose work in math and music bespoke a truly cosmopolitan consciousness. They were able to do this because the animo maiora capaci of Numa wanted to go beyond the particulars of Sabine customs, to discover universal laws upon which to base future Roman rule.

Mixing the question of political succession with the cattle drive of Hercules and the mind of Pythagoras is Ovid's way of telling not one story, but several at once. It gives the narrative a certain drunken swagger, yoking (as in Horace's callida iunctura) mythic energy to analytic insight. For Ovid, the quest for a good successor necessarily involves a questioning of "the known" -- one's own unique rules. What does it mean to go from one's narrow home, with its age-old ways and insular rejection of the larger world, to a broader realm in which an attentive mind can compare, contrast, and derive general norms from myriad particulars? To succeed in transitioning from a strong tribal leader to the enduring stability of the res Romana, one needs science, knowledge, a mind that has meditated upon the changing world and arrived at a sense of what abides, what matters and holds true not for the few, or the many, but for all.

Heracles fights Geryon, whose shield bears the image of Medusa

If Plato's philosopher wished to eject poets from the idea Republic, Ovid's ideal ruler seeks out a philosopher. The possibility of this occurs through moments of hospitality -- of Croton, who hosted Heracles, and of Myscellus's city Crotona, famed for taking in the self-imposed exile Pythagoras -- and foreshadowings -- Ovid has Crotona's founding driven both by Heracles; the legend of Myscellus invoked oracular pronouncements.

Hospitality here, as in the Odyssey, involves a civil openness to the other, broadening the mind by bringing it into contact with more of the world. The burden of the beginning of the last book of the Metamorphoses -- its quest -- is to prepare both the ruler and the people to be free. They first must accede to expansive human wisdom, which is what Numa, after broadening his views at Crotona, brought back to Rome. The quest for a stable structure of imperial rule, the poet suggests, finds solid ground not in war, but in the moment after Mars removes his helmet, when a people can choose: do they stubbornly reject all customs and races and religions who are not themselves and enslave themselves to some swaggering strong man, or do they find the philosophic latitude to "entertain" what's new and strange -- a path that can lead to enlightened freedom from kingship?

Political Science examines the conditions for what sort of governance can be had, by what sort of people, with what sort of leader. Ovid's "analysis" is oblique and fantastical -- it is, after all, a poem. In yoking the ultimate action hero to the wide-ranging mathematical and musical rigor of Pythagoras, the poet is bringing the farthest reaches of human power and human thought into proximity. The curiosity of Numa and the hospitality of Crotona are propitious augurs for the balance of knowledge and power necessary if Roman rule is to succeed.