Showing posts with label infinity. Show all posts
Showing posts with label infinity. Show all posts

4.19.2019

Good Friday poem




AMBER GLASS

The oak we put into the ground
last fall is budding now.
& on the third day... how?
On this I muse like Uncas Pound

here in my octagonal hut
of scrawny cedar. 8’s
for Easter, numerates
relate – Creation’s รจ finit;

when the dark goggles of infinity
stood upright (a snowman
merging into green
spring cloverleaf).  Might be.

They say they saved the high windows
in Paris.  Where simple light
grows warm, exfoliate
around the Lady of the burning Rose.

Wheels, wheels... the suffering peoples.
Is Providence intangible?
Life but a negligible
haze, wisping stark silo-steeples?

These sprinklings of amber glass
are darkened with maroon
shadows.  Limbs of someone
hovering so close... a beaming face.

Then I shall know, even as I
am known.  Even as
this acorn opens, grows...
sturdy communion of a melting sigh.

4.19.19

10.07.2016

Minneapolis in purple light



UNIVERSAL AUTUMN

Beatrice at the vanishing point
or Juliet on the bridge
mark infinite edge
to Alighieri goat-trails (figure 8).

The leaves of universal autumn
rain like parchment tears
from planetary spheres
& sea-grey eyes (too close to home)

to say goodbye, to wander streets
vacant & desolate
& drift   (disconsolate
refugee)   where only fleets

of shadows meet   (lonely nightmare)
& still the yearning heavens
wheel   manna leavens
their deep imperturbable desire

rooted in unfathomable joy
– Eternity, O Eternity!
he crowed (with penny-
whistle, raven-quill) – meek Roy

nestled in evergreen holm oak
like Ariadne’s emerald
corona... like straw-gold
Acorn Maid, among the little folk.

The drowsy King of Love bowed
his trompette marine –
umbilical fountain
of spiral clay (Galilean mode).

10.7.16

2.07.2016

Upon a tangent in Ravenna


PEACOCK TAIL

Dawn light through circumference
of dome conveys some sense
of dreaming weightlessness
as of infinity & omnipresence

so Hagia Sophia & peacock tail
might meet upon a tangent
in Ravenna   Dante’s ancient
flame a spark, skimming the axle

of a galaxy, loosed from an arrowhead
flint, striking limestone
footprint (Galilean,
Nazirite).  Behold star in its idea

redemptio-solidarity
adamant & diamond
centri-petal (almond
mandate) everybody

Ordinary & Ionian,
the windswept sea-grass
bareness of the place
tombs of sovereign dominion

lean down to green Columba
(San Franciscan)
his poverty of means
reverberating   simple soul euphoria

& an implicit recognition
of immeasurable flow
bread, wine   now
always   (indelible, human)

2.6.16

6.19.2009

On Form & Infinity in Poetry

Have been reading some beautiful things by 20th-cent. physicist Erwin Schrodinger (Nature and the Greeks). What a witty, wonderful writer he is! Philosopher-scientist. Interesting how the crisis of the 2 world wars & the Nuclear Age sent so many different kinds of thinkers & personalities back to origins of civilization (Schrodinger, TS Eliot, Chas. Olson, to name just a few...).

Anyway, reading his description of the encounter of earliest Greek science (Pythagoras, Thales, others) with the riddles of mathematics... it occurred to me that this all might have some pertinence in relation to poetry wars...

The thrust of the "new" (contemporary) formalists - & beyond formalism, the thrust of Poetry-as-Craft in general - is grounded in a concept of elegance : elegance, rooted in "number" in the poetic-mathematical sense. The poem is a sleek sort of toy - a verbal isometry between the concept & its expression (wit) - in which the evidence of mastery takes the form of elegant numbers...

Well, the problem I'm having with all this at the moment is that the idea of number... allied with the notion of craft & finish... & connected thus with the idea of elegance, mastery &, basically, success... (or authority)... well, all this runs head on into an aspect of Nature (that Nature with which Art is supposed to be elegantly married) which we might call either the Continuum... or Infinity... or Irrational Numbers...

an aspect of number which was a conundrum & embarrassment for the Greeks, & a mystifying puzzle for Cantor & other great mathematicians...

In my book, poetry is connected very substantially with the diagonal to the square of value "1" (ie. sq root of 2) - an irrational number... - & infinity - which scares & has frightened so many sophisticated poets, craftspeople, thinkers, calculators & operators - since it seems to open up again what they thought they had so elegantly counted out, measured, numbered, & closed off -

& why so? because infinity & the irrational are connected with the much-maligned "I" - that mysterious Subject - Shakespeare behind the arras - God - Keats' (negatively-capable) negrido - the Soul... & the great inimitable poets of all times are searching (elegantly, sublimely) beyond elegance... toward the (irrational square) root, the supra-elegance of... the ultimate Workshop (of the supernatural Author's... spiral jetty, or... Book of J...)... ie. the steep, the vertiginous, the vanishing point, that dimensionless point in Dante (& Joyce) wherefrom all the elegant magnitudes of creation proceed...

&, paradoxically, the oh-so-fumbly-stumbling quality of their (metaphysical, experiential) searching is precisely that dimension which allows the personal, the characteristic, the improvisational, to shine forth (very American) in their poetry... & make it inimitable & great... what they used to call Sublimity...

You must become an ignorant man again
And see the sun again with an ignorant eye
And see it clearly in the idea of it
...

2.24.2006

Maybe I have time to do a little more mental mountain climbing (or digital finger-slalom) this morning.

Continuing with the Turing biography. "turing" makes me think of a lathe; but apparently the family name stemmed from "Turin", Italy. A.T. was certainly an Olympics-class mental climber.

He's in college, & getting into mathematics, & Russell's Paradox ("the set of all sets, which contains itself", etc.). "'Normally,", wrote Russell, 'a class is not a member of itself. Mankind, for example, is not a man.'"

(Aye, there's the rub.)

Georg Cantor's infinity [of infinities] research.

The fractal spiral of self-reflective patterns [the J! the J! the blue J!]. Art's resonant echo-chamber.

But let's get back to poetry. I have a hunch this Russell Paradox can be applied, in some kind of analogy, both to literary style ("what do we do after MODERNISM???"}, and on a more basic level, to the relationship between text (written symbols) and real experience; AND, on a more cryptic level, to certain theological notions.

I won't try to cover all this in one lecture.

On coffee break, I'm reading about Turing, and I'm watching college students go by, umbilically attached to cellphones, I-pods. & I read, "This lack of any simple connection between mathematical symbols and the world of actual objects fascinated Alan." I'm watching the students go by, I'm slurping my coffee, & I'm thinking about the relationship between text and person, and between poetic text and vocal recital, dramatic performance.

I'm thinking about that relationship, because I'm trying to follow up on the previous post, the bit about poetry's serious side opens a space for its aesthetic reception.

This particular intellectual/emotional/spiritual pleasure & value, as we know it anyway, follows specifically from writing & reading, from texts.

But, paradoxically, the benchmarks, the classics, the models which make up the substance of an ongoing tradition in poetry - these originated in periods of revolutionary change : when 1) writing, printing & literacy spread far & wide, and 2) when the vast energies of vernacular languages were absorbed into poetry.

So the classics are packages of newly-grasped forms of energy (reading; new languages).

Our pleasure & learning - through reading & writing - draw on sources which are amalgams of spoken language & new writing tools.

I'm reminded of one of Mandelstam's most striking formulae : "Poetry is a plow which turns up the deep layers of Time, and spreads them on the surface." He's referring to contemporary, Acmeist poetry as he understands it & wants it to be : reaching back into those vital sources, those original amalgams of popular speech and writing technology (Dante, the classic of classic exemplars).

& it's close to Hart Crane's Nietzschean sense of poetry's potential to "reincarnate", to re-capitulate, archaic or eternal times (Marlowe, Pindar...).

"I don't want Ovid in translation; I want the living, breathing Ovid," Mandelstam wrote. (I'm quoting from memory.)

The forms taken suddenly by ancient poetry are springs or sources : fresh, eternal beauty. (This is a sort of classicism, I guess.) Why? Because they embody this symbiosis of text & speech, of symbol & actuality, of poem & person.

Not models or patterns; sources.

Russell's Paradox, which arose in the attempt to conceptualize the basic nature of mathematics, also applies, somehow, every time we read the "imitation of a speech act". It applies, somehow, to our concepts of rationality itself : what is the status of an abstraction, a metaphor, a word? What (if anything) grounds their logical architecture?

& what is "reality", then? Maybe Mankind, for example, is, indeed, a man...

[see, philosophes, the much-debated Aristotelian/Scholastic notion, that there are no universals, only individuals... nominalism loops into Berkeleyan idealism... & back into Peirce's futuristic, "thought-like" realism... & back into poetic quiddity, vivid particularity... ut pictura poiesis... I-am-That-I-Am, I-will-be-what-I-will-be, JHWH...]

and the poem & the person, and the text & the real, and the student & the mp3-player, inhabit this unpredictable borderland, where they flow back & forth...

I'm circling around a holistic conceptualization of art which includes personhood. Getting back to those dilemmas outlined in Carol Christ's book (Victorian & Modernist Poetics).

OK, class dismissed.

4.30.2003

Last Sunday was Kurt Godel's birthday (Cantor's successor).
[correction : Monday. April 28. The day I was posting about Faith & Reason to Anastasios. At 1:32 pm, same time as this post. 132 : the number of Stubborn Grew. (Why? Long story. I used to live at 132 6th St. It's the number of a waltz (a 1-3-2. . .). It's the number of Beethoven's most beautiful quartet. It's the number of rooms in the White House. It's the number of acres in N. Main Cemetery. It's the # of square ft in Grace Church, downtown Providence. Add "one" and it's the secretive number of Finnegans Wake (1132).]

Creation like a mobius strip, because:
there exists no set which contains everything (since a subset of this set would be the set itself, and it would take a yet larger set to contain the set which contains everything). Cantor equated this vanishing pt. with God, the Absolute.

Poor Cantor ended his days in an asylum, alternating between the riddle of transfinite numbers, and trying to prove that Bacon was Shakespeare. Maybe he was reading Ignatius Donnelly, who also turned to the Shakespeare puzzle when his career (politician, in this case) was hitting the rocks. Great orgone boxes think alike.

Mysteries of the infinite continua of the line.

((Rudy. Georg Cantor, a persecuted Jewish mathematician, who showed that infinite dimensions were contained in a 1-dimensional line, who was grief-stricken at the early death of an only son, named Rudy :: Leopold Bloom, a persecuted Jewish Irish fictional character, contained within the lines of a microcosmic verbal Dublin, who was grief-stricken at the early death of an only son, named))

4.29.2003

. . . so I guess if you wanted to play with the analogy between the Cantorian infinite-dimensional (geometric) line, and the Mandelshtamian infinitely dense (poetic) line - and you thought of writing in general as a compression of dimensions - and you thought of Time as one of the dimensions. . .

then you could imagine a technical basis for the notion that poetry is this sort of distinct perennial activity-in-Nowness, as I tried to outline earlier in the archives. . . Mandelstam [paraphrasing]: "we don't want the text of Ovidius Naso, we want the living breathing Ovid!" - and - "only the moment of recognition is sweet to us". . .

- thinking of when I read the Sonnets at age 19 and had the uncanny sense that Shakespeare was talking directly to me from another dimension. . . and then Ecclesiastes dropped by ("vanity, vanity. . ."). . .

Time dimensions encrypted in sentences. Someone speaking to you, face to face.
Reading an interesting book about the mathematician Georg Cantor, of infinity & set theory fame. Proved that any point, numbered on a grid of any dimension (2, 3, 4, 5 dimensions...), can also be located on a line (1 dimension). Not sure why this was so shocking and revolutionary back in the 1880s, since a point is defined as dimensionless, hence you could locate infinite points anywhere. But I'm not a mathematician.

But it makes me think of poetics of Mandelstam & Joyce. Mandelstam describing poetry as an art whose humble exterior disguises a multidimensional reality of "terrifying density". Omry Ronen, in his book Approach to Mandelstam, took him at his word, and in a huge book analyzing just two poems, gives them an image of allusive INFINITY : each LINE bearing so much weight of fused & transmuted literary echoes & other references. Joyce does something similar in the prose of Ulysses & FW.

And of course verbal art in general is a process of compressing multidimensional reality into a near-dimensionless medium.