On this date four years ago . . .
Today . . .
In 2016 . . .
"The child is father of the man." — Wordsworth
"Suck any sense from that who can." — Hopkins
Illustration —
A search for "Wordsworth" in this journal yields
an image from "The Edge of Eternity," a post of
Sunday, Christmas Eve, 2006 …
“Just a lying rhyme for seven!”
— Playwright Tom Stoppard on Heaven
" 'Heaven lies about us in our infancy!' wrote William Wordsworth, one of Geoffrey Hartman’s beloved Romantics…. For Hartman, in 2010 proclaimed by his Yale colleague Paul Fry to be 'arguably the finest Wordsworth critic who has ever written,' those lines from 'Ode on Intimations of Immortality from Recollections of Early Childhood' must have been especially bittersweet. His own childhood had been cut short; born in Frankfurt in 1929…."
— "Remembering Geoffrey Hartman — |
"In a sense, too, Wallace Stevens has spent a lifetime writing a single poem. What gives his best work its astonishing power and vitality is the way in which a fixed point of view, maturing naturally, eventually takes in more than a constantly shifting point of view could get at.
The point of view is romantic, 'almost the color of comedy'; but 'the strength at the center is serious.' Behind Wallace Stevens stand Wordsworth and Coleridge as well as Rimbaud and Mallarmé, and, surprisingly enough, La Fontaine and Pope. This poetic lineage is important only in so far as it proves that a master can claim the world as ancestor. Knowing where he stands, the poet can move as a free man in the company of free men."
The point of view
expressed in Log24 on
today's date in 2004:
For a related gloss on Stevens's remark
"the strength at the center is serious,"
see "Serious" (also on an October 3).
(in memory of George Latshaw,
who died on Tuesday, Dec. 19, 2006)
Brightness Doubled
Seven is Heaven “Love is the shadow Witness the man who — Roger Waters, quoted in |
Garrett comments on Wordsworth’s approach to landscape, citing Karl Mannheim, Ideology and Utopia, translated by Louis Wirth and Edward Shils (page numbers below refer to the 1998 Routledge edition):
“… ‘the present becomes the breach through which what was previously inward, bursts out suddenly, takes hold of the outer world and transforms it’ [p. 193]. This breaking through into ecstasy can only be brought about through ‘Kairos‘ or ‘fulfilled time'”….
See translators’ note, p. 198: “In Greek mythology Kairos is the God of Opportunity– the genius of the decisive moment. The Christianized notion of this is given thus in Paul Tillich‘s The Religious Situation [1925, translation by H. Richard Niebuhr, New York, Holt, 1932, pp. 138-139]: ‘Kairos is fulfilled time, the moment of time which is invaded by eternity. But Kairos is not perfection or completion in time.'”
Garrett quotes Wordsworth’s 1850 Prelude:
There are in our existence spots of time,
That with distinct pre-eminence retain
A renovating virtue … (12.208-210)
“And in book 14 Wordsworth…. symbolizes how man can find transcendent unity with the universe through the image of himself leading his group to the peak of Mt. Snowdon. Climbing at night in thick fog, he almost steps off a cliff, but at the last instant, he steps out of the mist, the moon appears, and his location on the brink is revealed. Walking in the darkness of reason, his imagination illumed the night, revealed the invisible world, and spared him his life.”
See also Charles Frazier on the edge of eternity:
“They climbed to a bend and from there they walked on great slabs of rock. It seemed to Inman that they were at the lip of a cliff, for the smell of the thin air spoke of considerable height, though the fog closed off all visual check of loftiness…. Then he looked back down and felt a rush of vertigo as the lower world was suddenly revealed between his boot toes. He was indeed at the lip of a cliff, and he took one step back….”
Christopher Fry’s obituary
in The New York Times—
“His plays radiated
The three main characters “spend much of the play discussing quantum mechanics, string theory and Schrödinger’s Cat experiment….
Ms. Buggé’s frequently clever script makes the audience feel smart by offering up fairly recognizable literary references (from, among other things, T. S. Eliot’s ‘Love Song of J. Alfred Prufrock’ and William Wordsworth’s ‘Tintern Abbey’). But the play suffers from abrupt, sometimes motivation-free exits and entrances.”
As does life itself.
Yau rated the conjecture as one of the major mathematical puzzles of the 20th Century. |
Five years have passed; five summers, with the length Of five long winters! |
There is one story and one story only
That will prove worth your telling….
— Robert Graves,
“To Juan at the Winter Solstice”
Exits and Entrances:
Halmos exited on Yom Kippur.
He may or may not achieve
re-entry. For details, see
Log24 entries of Oct. 1-15:
Ticket Home
Related material:
The Unity of Mathematics,
Heisenberg on Beauty, and
Theme and Variations.
Instance
From a review by Adam White Scoville of Iain Pears's novel titled An Instance of the Fingerpost:
"Perhaps we are meant to see the story as a cubist retelling of the crucifixion, as Pilate, Barabbas, Caiaphas, and Mary Magdalene might have told it. If so, it is sublimely done so that the realization gradually and unexpectedly dawns upon the reader. The title, taken from Sir Francis Bacon, suggests that at certain times, 'understanding stands suspended' and in that moment of clarity (somewhat like Wordsworth's 'spots of time,' I think), the answer will become apparent as if a fingerpost were pointing at the way."
Another instance:
The film "Barabbas" (1962) shown on Turner Classic Movies at 8 PM Friday, Nov. 10.
Compare and contrast–
The film is based on the novel by Par Lagerkvist, winner of the Nobel Prize in Literature.
The Lagerkvist novel may be of more enduring interest than Stone 588, but, as Friday's lottery numbers indicate, even lesser stories have their place.
Modernism as a Religion
In light of the controversy over Mel Gibson's bloody passion play that opens today, some more restrained theological remarks seem in order. Fortunately, Yale University Press has provided a
From a review by Adam White Scoville of Iain Pears's novel titled An Instance of the Fingerpost:
"Perhaps we are meant to see the story as a cubist retelling of the crucifixion, as Pilate, Barabbas, Caiaphas, and Mary Magdalene might have told it. If so, it is sublimely done so that the realization gradually and unexpectedly dawns upon the reader. The title, taken from Sir Francis Bacon, suggests that at certain times, 'understanding stands suspended' and in that moment of clarity (somewhat like Wordsworth's 'spots of time,' I think), the answer will become apparent as if a fingerpost were pointing at the way."
Recommended related
By others:
Inside Modernism: Relativity Theory, Cubism, Narrative, Thomas Vargish and Delo E. Mook, Yale University Press, 1999
Signifying Nothing: The Fourth Dimension in Modernist Art and Literature
Corpus Hypercubus,
by Dali. Not cubist,
perhaps "hypercubist."
By myself:
The Crucifixion of John O'Hara
The Da Vinci Code and Symbology at Harvard
Material that is related, though not
O'Hara's Fingerpost
In The New York Times Book Review of next Sunday (August 24, 2003), Book Review editor Charles McGrath writes that author John O'Hara
"… discovered a kind of story… in which a line of dialogue or even a single observed detail indicates that something crucial has changed."
From the Online Etymology Dictionary:
crucial – 1706, from Fr. crucial… from L. crux (gen. crucis) "cross." The meaning "decisive, critical" is extended from a logical term, Instantias Crucis, adopted by Francis Bacon (1620); the notion is of cross fingerboard signposts at forking roads, thus a requirement to choose.
The remainder of this note deals with the "single observed detail" 162.
|
Instantias Crucis
Francis Bacon says
"Among Prerogative Instances I will put in the fourteenth place Instances of the Fingerpost, borrowing the term from the fingerposts which are set up where roads part, to indicate the several directions. These I also call Decisive and Judicial, and in some cases, Oracular and Commanding Instances. I explain them thus. When in the investigation of any nature the understanding is so balanced as to be uncertain to which of two or more natures the cause of the nature in question should be assigned on account of the frequent and ordinary concurrence of many natures, instances of the fingerpost show the union of one of the natures with the nature in question to be sure and indissoluble, of the other to be varied and separable; and thus the question is decided, and the former nature is admitted as the cause, while the latter is dismissed and rejected. Such instances afford very great light and are of high authority, the course of interpretation sometimes ending in them and being completed. Sometimes these instances of the fingerpost meet us accidentally among those already noticed, but for the most part they are new, and are expressly and designedly sought for and applied, and discovered only by earnest and active diligence."
Inter praerogativas instantiarum, ponemus loco decimo quarto Instantias Crucis; translato vocabulo a Crucibus, quae erectae in biviis indicant et signant viarum separationes. Has etiam Instantias Decisorias et Judiciales, et in casibus nonnullis Instantias Oraculi et Mandati, appellare consuevimus. Earum ratio talis est. Cum in inquisitione naturae alicujus intellectus ponitur tanquam in aequilibrio, ut incertus sit utri naturarum e duabus, vel quandoque pluribus, causa naturae inquisitae attribui aut assignari debeat, propter complurium naturarum concursum frequentem et ordinarium, instantiae crucis ostendunt consortium unius ex naturis (quoad naturam inquisitam) fidum et indissolubile, alterius autem varium et separabile ; unde terminatur quaestio, et recipitur natura illa prior pro causa, missa altera et repudiata. Itaque hujusmodi instantiae sunt maximae lucis, et quasi magnae authoritatis; ita ut curriculum interpretationis quandoque in illas desinat, et per illas perficiatur. Interdum autem Instantiae Crucis illae occurrunt et inveniuntur inter jampridem notatas; at ut plurimum novae sunt, et de industria atque ex composito quaesitae et applicatae, et diligentia sedula et acri tandem erutae.
— Francis Bacon, Novum Organum, Book Two, "Aphorisms," Section XXXVI
A Cubist Crucifixion
An alternate translation:
"When in a Search of any Nature the Understanding stands suspended, the Instances of the Fingerpost shew the true and inviolable Way in which the Question is to be decided. These Instances afford great Light…"
From a review by Adam White Scoville of Iain Pears's novel titled An Instance of the Fingerpost:
"The picture, viewed as a whole, is a cubist description, where each portrait looks strikingly different; the failings of each character's vision are obvious. However, in a cubist painting the viewer often can envision the subject in reality. Here, even after turning the last page, we still have a fuzzy view of what actually transpired. Perhaps we are meant to see the story as a cubist retelling of the crucifixion, as Pilate, Barabbas, Caiaphas, and Mary Magdalene might have told it. If so, it is sublimely done so that the realization gradually and unexpectedly dawns upon the reader. The title, taken from Sir Francis Bacon, suggests that at certain times, 'understanding stands suspended' and in that moment of clarity (somewhat like Wordsworth's 'spots of time,' I think), the answer will become apparent as if a fingerpost were pointing at the way. The final narrative is also titled An Instance of the Fingerpost, perhaps implying that we are to see truth and clarity in this version. But the biggest mystery of this book is that we have actually have no reason to credit the final narrative more than the previous three and so the story remains an enigma, its truth still uncertain."
For the "162" enigma, see
The Matthias Defense, and
The Still Point and the Wheel.
See also the December 2001 Esquire and
the conclusion of my previous entry.
Today's birthdays: Mike Nichols and Sally Field.
Who is Sylvia? What is she? |
|
From A Beautiful Mind, by Sylvia Nasar:
Prologue
Where the statue stood
Of Newton with his prism and silent face,
The marble index of a mind for ever
Voyaging through strange seas of Thought, alone.
— WILLIAM WORDSWORTH
John Forbes Nash, Jr. — mathematical genius, inventor of a theory of rational behavior, visionary of the thinking machine — had been sitting with his visitor, also a mathematician, for nearly half an hour. It was late on a weekday afternoon in the spring of 1959, and, though it was only May, uncomfortably warm. Nash was slumped in an armchair in one corner of the hospital lounge, carelessly dressed in a nylon shirt that hung limply over his unbelted trousers. His powerful frame was slack as a rag doll's, his finely molded features expressionless. He had been staring dully at a spot immediately in front of the left foot of Harvard professor George Mackey, hardly moving except to brush his long dark hair away from his forehead in a fitful, repetitive motion. His visitor sat upright, oppressed by the silence, acutely conscious that the doors to the room were locked. Mackey finally could contain himself no longer. His voice was slightly querulous, but he strained to be gentle. "How could you," began Mackey, "how could you, a mathematician, a man devoted to reason and logical proof…how could you believe that extraterrestrials are sending you messages? How could you believe that you are being recruited by aliens from outer space to save the world? How could you…?"
Nash looked up at last and fixed Mackey with an unblinking stare as cool and dispassionate as that of any bird or snake. "Because," Nash said slowly in his soft, reasonable southern drawl, as if talking to himself, "the ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously."
What I take seriously:
Introduction to Topology and Modern Analysis, by George F. Simmons, McGraw-Hill, New York, 1963
An Introduction to Abstract Harmonic Analysis, by Lynn H. Loomis, Van Nostrand, Princeton, 1953
"Harmonic Analysis as the Exploitation of Symmetry — A Historical Survey," by George W. Mackey, pp. 543-698, Bulletin of the American Mathematical Society, July 1980
Walsh Functions and Their Applications, by K. G. Beauchamp, Academic Press, New York, 1975
Walsh Series: An Introduction to Dyadic Harmonic Analysis, by F. Schipp, P. Simon, W. R. Wade, and J. Pal, Adam Hilger Ltd., 1990
The review, by W. R. Wade, of Walsh Series and Transforms (Golubov, Efimov, and Skvortsov, publ. by Kluwer, Netherlands, 1991) in the Bulletin of the American Mathematical Society, April 1992, pp. 348-359
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