In memory of Robert Morris, former chief scientist
of the National Security Agency's
National Computer Security Center—
Here is a link to a post from last Sunday, the day Morris died.
From a novel mentioned in that post—
In memory of Robert Morris, former chief scientist
of the National Security Agency's
National Computer Security Center—
Here is a link to a post from last Sunday, the day Morris died.
From a novel mentioned in that post—
For more about Rome, see two pages from Stevens suggested
by the New York Lottery numbers from today, St. Peter's Day.
The pages mention "Rome after dark" and a "disused ambit
of the soul." Those who prefer a "more severe, more
harassing master" may consult the date 8/6/79 suggested by
the New York Lottery this afternoon and, from that date,
Freeman Dyson's memoir in The New Yorker .
This evening's four-digit number, 0006, may, if one likes,
be regarded as an "artist's signature" of sorts.
The New Yorker on Dyson—
"He recalls that at age 8 he read 'The Magic City,'
by Edith Nesbit. It is the story of a crazy universe.
He now sees that this universe bears a strong
resemblance to the one we live in."
For St. Peter's Day
"For Stevens, the poem 'makes meanings of the rock.'
In the mind, 'its barrenness becomes a thousand things/
And so exists no more.' In fact, in a peculiar irony
that only a poet with Stevens's particular notion
of the imagination's function could develop,
the rock becomes the mind itself, shattered
into such diamond-faceted brilliance
that it encompasses all possibilities for human thought…."
—A discussion of Stevens's late poem "The Rock" (1954)
in Wallace Stevens: A World of Transforming Shapes,
by Alan D. Perlis, Bucknell University Press, 1976, p. 120
Related material on transforming shapes:
See the signature link in last night's post for a representation of Madison Avenue.
For a representation by Madison Avenue, see today's New York Times—
"As a movement Pop Art came and went in a flash, but it was the kind of flash that left everything changed. The art public was now a different public— larger, to be sure, but less serious, less introspective, less willing or able to distinguish between achievement and its trashy simulacrum. Moreover, everything connected with the life of art— everything, anyway, that might have been expected to offer some resistance to this wholesale vulgarization and demoralization— was now cheapened and corrupted. The museums began their rapid descent into show biz and the retail trade. Their exhibitions were now mounted like Broadway shows, complete with set designers and lighting consultants, and their directors pressed into service as hucksters, promoting their wares in radio and television spots and selling their facilities for cocktail parties and other entertainments, while their so-called education programs likewise degenerated into sundry forms of entertainment and promotion. The critics were co-opted, the art magazines commercialized, and the academy, which had once taken a certain pride in remaining aloof from the blandishments of the cultural marketplace, now proved eager to join the crowd— for there was no longer any standard in the name of which a sellout could be rejected. When the boundary separating art and fashion was breached, so was the dividing line between high art and popular culture, and upon all those institutions and professions which had been painstakingly created to preserve high art from the corruptions of popular culture. The effect was devastating. Some surrendered their standards with greater alacrity than others, but the drift was unmistakable and all in the same direction— and the momentum has only accelerated with the passage of time."
— Hilton Kramer, The Triumph of Modernism: The Art World, 1985-2005 , publ. by Ivan R. Dee on Oct. 26, 2006, pp. 146-147
Related material— Rubik in this journal, Exorcist in this journal, and For the Class of '11.
"He gazed out of the window hoping that somehow everything could make sense to him."
— "Passing in Silence," by Oliver Humpage
"You gotta be true to your code." —Sinatra
Exercise: Trace a path from the June 27 NY Lottery numbers
to the above two quotations. Hint: See Cuernavaca and
Pilgrim's Progress in TIME Magazine, May 3, 1948.
For some further background, click on the CBS quote above.
I still prefer, as I did in 1948, less up-to-the-minute developments.
* The title refers to the phrase "the artist's signature."
The 3×3×3 Galois Cube
This cube, unlike Rubik's, is a
purely mathematical structure.
Its properties may be compared
with those of the order-2 Galois
cube (of eight subcubes, or
elements ) and the order-4 Galois
cube (of 64 elements). The
order-3 cube (of 27 elements)
lacks, because it is based on
an odd prime, the remarkable
symmetry properties of its smaller
and larger cube neighbors.
This evening's NY Lottery numbers were 531 and 8372.
Hermeneutics—
From a Google search for "531 Log24"—
Log24 on Sunday, Sept. 21, 2008
531 , Revelation without belief 116. Evening (Belief), Belief without… The date, 5/24, of the entries linked to in Thursday's noon Log24 entry… Pynchon on Quaternions – Log24 8. on Page 531 : "… to imps of ingenious discomfort. "Is this a stag affair, or are there likely to be one or two lady Quaternion- ists?…" |
The "531" linked to in the Sept. 21, 2008, post above is a mini-drama ending at midnight on 5/31, 2008— the conclusion of Mental Health Month.
And the above 4-digit evening number suggests a search for births on 8/3/72 that yields—
Erika Marozsán, Hungarian actress, 38.
Marozsán starred in "Gloomy Sunday—A Song of Love and Death" (A German/Hungarian film from 1999).
Wikipedia informs us that this "is inaccurately claimed to be the world's longest running film."
Whether Marozsán is a Quaternionist, I do not know.
For love, death, and quaternions, see the post Metaphor from Feb. 22 linked to in this afternoon's Sunday Dinner.
From "Sunday Dinner" in this journal—
"'If Jesus were to visit us, it would have been
the Sunday dinner he would have insisted on
being a part of, not the worship service at the church.'"
—Judith Shulevitz at The New York Times
on Sunday, July 18, 2010
Some table topics—
Today's midday New York Lottery numbers were 027 and 7002.
The former suggests a Galois cube, the latter a course syllabus—
CSC 7002
Graduate Computer Security (Spring 2011)
University of Colorado at Denver
Department of Computer Science
An item from that syllabus:
Six | 22 February 2011 | DES | History of DES; Encryption process; Decryption; Expander function; S-boxes and their output; Key; the function f that takes the modified key and part of the text as input; mulitple Rounds of DES; Present-day lack of Security in DES, which led to the new Encryption Standard, namely AES. Warmup for AES: the mathematics of Fields: Galois Fields, particularly the one of order 256 and its relation to the irreducible polynomial x^8 + x^4 + x^3 + x + 1 with coefficients from the field Z_2. |
Related material: A novel, PopCo , was required reading for the course.
Discuss a different novel by the same author—
Discuss the author herself, Scarlett Thomas.
Background for the discussion—
Derrida in this journal versus Charles Williams in this journal.
Related topics from the above syllabus date—
Metaphor and Gestell and Quadrat.
Some context— Midsummer Eve's Dream.
Continued from March 10, 2011 — A post that says
"If Galois geometry is thought of as a paradigm shift
from Euclidean geometry, both… the Kuhn cover
and the nine-point affine plane may be viewed…
as illustrating the shift."
Yesterday's posts The Fano Entity and Theology for Antichristmas,
together with this morning's New York Times obituaries (below)—
—suggest a Sunday School review from last year's
Devil's Night (October 30-31, 2010)—
Sunday, October 31, 2010 ART WARS – m759 @ 2:00 AM … There is a Cave – Paradise Lost , by John Milton
|
See also Ash Wednesday Surprise and Geometry for Jews.
“… the formula ‘Three Hypostases in one Ousia ‘
came to be everywhere accepted as an epitome
of the orthodox doctrine of the Holy Trinity.
This consensus, however, was not achieved
without some confusion….” —Wikipedia
Ousia
The New York Times at 9 PM ET June 23, 2011—
ROBERT FANO: I’m trying to think briefly how to put it.
GINO FANO: "On the Fundamental Postulates"—
"E la prova di questo si ha precisamente nel fatto che si è potuto costruire (o, dirò meglio immaginare) un ente per cui sono verificati tutti i postulati precedenti…."
"The proof of this is precisely the fact that you could build (or, to say it better, imagine) an entity by which are verified all previous assumptions…."
Also from the Times article quoted above…
"… like working on a cathedral. We laid our bricks and knew that others might later replace them with better bricks. We believed in the cause even if we didn’t completely understand the implications.”
— Tom Van Vleck
Some art that is related, if only by a shared metaphor, to Van Vleck's cathedral—
The art is also related to the mathematics of Gino Fano.
For an explanation of this relationship (implicit in the above note from 1984),
see "The Fano plane revisualized—or: the eIghtfold cube."
Moonshine and Lion
are left to bury the dead.
DEMETRIUS
Ay, and Wall too.
BOTTOM
[Starting up] No assure you;
the wall is down
that parted their fathers.
Click image for details.
Click the above image for some background.
Related material:
Skateboard legend Andy Kessler,
this morning's The Gleaming,
and But Sometimes I Hit London.
This evening's New York Lottery number was 776.
From this journal's post number 776—
ART WARS:
Lindsay Lohan was back in court today.
"The judge… ordered Lindsay may have no more than one friend
over at a time for the remainder of her house arrest" —Star Magazine
"Winter, spring, summer or fall
All you have to do is call"
— Eustace Tilley
In a Jewish Cathedral
From The New York Times Magazine of Sunday, April 6, 1986—
"David Rayfiel's Script Magic" by Alex Ward
WHEN THE CALL came last year to revise ''The Morning After,'' Rayfiel was working on a screenplay about the 1911 Triangle Shirtwaist Company fire for Barbra Streisand and Jane Fonda. He has now resumed work— as the principal writer, not the reviser— on that script. But chances are good that he will have further interruptions. Pollack will probably call and say, as he usually does, ''David, I need access to your brain.'' And Rayfiel will probably say, as he usually does, ''That's O.K., I'm not using it.'' He will revise another script, and be reluctant about taking credit for it.
''I guess it's like the medieval stonecutters who worked on the cathedrals,'' he says. ''There's all that elaborate work. The saints were carved by one guy, the cherubs by someone else. They didn't care about getting credit, they knew what they'd done. I'm like that. I'm the guy who does the cherubs.''
Related material:
Proginoskes in this journal and Abracadabra from the midnight of June 18-19.
See also Rayfiel's obituary in today"s Times .
For some quite different work, also from April 1986, see—
This evening's New York Times obituaries—
A work of art suggested by the first and third items above—
I prefer a work of art that is structurally similar—
and is related to a picture, Portrait of O, from October 1, 1983—
For a recent unexpected Web appearance of Portrait of O,
aee Abracadabra from the midnight of June 18-19.
Thomas N. Armstrong III, a former director of the Whitney Museum of American Art, died at 78 on Monday in Manhattan.
William Grimes in this morning's New York Times—
"… Mr. Armstrong set about strengthening the museum’s permanent collection, buying Frank Stella’s 1959 black painting “Die Fahne Hoch!” for $75,000 in 1977…."
See also "Fahne Hoch" in this journal and the following from the date of Armstrong's death—
"Sunrise — Hast thou a Flag for me?" — Emily Dickinson
Related material: Piracy Project and, from Flag Day,
"Dawn's Early Light" and "Expressionistic Depth."
The AND Publishing weblog page referred to in
a Sunday post has been changed to reflect the
source— my finite-geometry website— of pages
copied and altered by London artist Steve Richards
that are a large part of his contribution to the
AND Publishing Piracy Project.
The new version is as follows—
Note, however, that the cover page is a figure titled
by Richards "metalibrarianship" that has nothing
whatever to do with the concepts in the pages he copied
from my site, finitegeometry.org/sc.
Other pages within Richards's contribution to the
Piracy Project are similarly completely unrelated to
the content of my own site, which deals with geometry.
The image on the cover page also appears, it turns out,
on a website called intertwining.org.
At that site, it occurs in the following resume item:
The links in the resume item do not work,
but some background is available at a page titled
"Circularity, Practicality and Philosophy of Librarianship, or
The Making of 'The Nitecki Trilogy'" by Joanne Twining.
Other images in Richards's contribution to the Piracy Project also occur
in Twining's webpage "Dimensional Advances for Information Architecture."
I never heard of Twining or Nitecki before I encountered Richards's
Piracy Project contribution, and I do not wish to be associated
again in any way with Twining, with Nitecki, or with Richards.
This post is for the Stonehenge solstice crowd, who might,
like the London artist Steve Richards, confuse bullshit
with scholarship and inspire the same confusion
in others.
The image, apparently an epigraph put there
by the author, is from the Forgotten Books edition
of Cassirer's Substance and Function:
And Einstein's Theory of Relativity .
This is a scanned copy of the 1923 original.
The egg-figure above, however, is from the publisher's
prefatory notes and not from the original.
A check of other Forgotten Books publications
shows that the motto and the Bacon
attribution are those of Forgotten Books and
not of the authors they reprint — in particular,
not of Ernst Cassirer, who would probably
be dismayed to have this nonsense associated
with his work.
Why nonsense? The attribution to Francis Bacon is
false. The lines are from "The Phoenix and the Turtle"
by William Shakespeare.
This post was suggested by a book advertised
above A. Whitney Ellsworth's obituary in tonight's
online New York Times .
See also the following illustrations—
From this journal on June 1, 2008:
From artist Steve Richards on January 14, 2010:
In memory of A. Whitney Ellsworth, first publisher of
The New York Review of Books , who died at 75
on Saturday—
The Review has sometimes been cited in this journal.
See also posts from the date of Ellsworth's death—
Recent piracy of my work as part of a London art project suggests the following.
From http://www.trussel.com/rls/rlsgb1.htm
The 2011 Long John Silver Award for academic piracy
goes to ….
Hermann Weyl, for the remark on objectivity and invariance
in his classic work Symmetry that skillfully pirated
the much earlier work of philosopher Ernst Cassirer.
And the 2011 Parrot Award for adept academic idea-lifting
goes to …
Richard Evan Schwartz of Brown University, for his
use, without citation, of Cullinane’s work illustrating
Weyl’s “relativity problem” in a finite-geometry context.
For further details, click on the above names.
The title of a recent contribution to a London art-related "Piracy Project" begins with the phrase "The Search for Invariants."
A search for that phrase elsewhere yields a notable 1944* paper by Ernst Cassirer, "The Concept of Group and the Theory of Perception."
Page 20: "It is a process of objectification, the characteristic nature
and tendency of which finds expression in the formation of invariants."
Cassirer's concepts seem related to Weyl's famous remark that
“Objectivity means invariance with respect to the group of automorphisms.”
—Symmetry (Princeton University Press, 1952, page 132)
See also this journal on June 23, 2010— "Group Theory and Philosophy"— as well as some Math Forum remarks on Cassirer and Weyl.
Update of 6 to 7:50 PM June 20, 2011—
Weyl's 1952 remark seems to echo remarks in 1910 and 1921 by Cassirer.
See Cassirer in 1910 and 1921 on Objectivity.
Another source on Cassirer, invariance, and objectivity—
The conclusion of Maja Lovrenov's
"The Role of Invariance in Cassirer’s Interpretation of the Theory of Relativity"—
"… physical theories prove to be theories of invariants
with regard to certain groups of transformations and
it is exactly the invariance that secures the objectivity
of a physical theory."
— SYNTHESIS PHILOSOPHICA 42 (2/2006), pp. 233–241
A search in Weyl's Symmetry for any reference to Ernst Cassirer yields no results.
* Published in French in 1938.
My work has been pirated by an artist in London.
An organization there, AND Publishing, sponsors what it calls
"The Piracy Project." The artist's piracy was a contribution
to the project.
The above material now reflects the following update:
UPDATE of June 21, 2011, 10:00 PM ET: The organization's weblog (a post for 19th June) In this weblog, changes have been made to correct my "AND Publishing is not sponsored by the art school. |
As this post originally stated…
The web pages from the site finitegeometry.org/sc that
the artist, Steve Richards, copied as part of his contribution to
the AND Publishing Piracy Project have had the author's name,
Steven H. Cullinane, and the date of composition systematically removed.
See a sample (jpg, 2.1 MB).
Here is some background on Richards.
Yesterday's post Ad Meld featured Harry Potter (succeeding in business),
a 4×6 array from a video of the song "Abracadabra," and a link to a post
with some background on the 4×6 Miracle Octad Generator of R.T. Curtis.
A search tonight for related material on the Web yielded…
Weblog post by Steve Richards titled "The Search for Invariants:
The Diamond Theory of Truth, the Miracle Octad Generator
and Metalibrarianship." The artwork is by Steven H. Cullinane.
Richards has omitted Cullinane's name and retitled the artwork.
The author of the post is an artist who seems to be interested in the occult.
His post continues with photos of pages, some from my own work (as above), some not.
My own work does not deal with the occult, but some enthusiasts of "sacred geometry" may imagine otherwise.
The artist's post concludes with the following (note also the beginning of the preceding post)—
"The Struggle of the Magicians" is a 1914 ballet by Gurdjieff. Perhaps it would interest Harry.
"Oh, I've got something inside me To drive a princess blind. There's a wild man, wizard, he's hiding in me Illuminating my mind." -- Harry Chapin And she said, "How are you, Harry?"
(Continued from June 14)
From tonight's midnight post—
“Stranger, dreams verily are baffling and unclear of meaning,
and in no wise do they find fulfillment in all things for men.
For two are the gates of shadowy dreams,
and one is fashioned of horn and one of ivory.
Those dreams that pass through the gate of sawn ivory
deceive men, bringing words that find no fulfillment.
But those that come forth through the gate of polished horn
bring true issues to pass, when any mortal sees them."
Tracking Shot
Related material—
See also this journal's September 2009 posts.
This post was suggested by today's previous post and by today's NY Lottery.
For some background to the ioncinema.com post numbered 4210 above,
see, in conjunction with the page headed "Azazel" linked to here earlier today,
the ioncinema.com post numbered 5601.
“Stranger, dreams verily are baffling and unclear of meaning, For two are the gates of shadowy dreams, But in my case it was not from thence, methinks, Translation by A.T. Murray, in two volumes. Quoted in a press release for the film "Two Gates of Sleep." |
From the post numbered 460 in this journal—
At the still point… from the film "Absolute Power" :
Photo credit – Graham Kuhn
I’ve heard of affairs that are strictly plutonic,
But diamonds are a girl’s best friend!
"Philosophy seeks not absolute first principles,
nor yet purely immediate insights,
but the self-mediation of the system of truth,
and an insight into this self-mediation."
— Josiah Royce in his article "Axiom" in Encyclopaedia of Religion and Ethics ,
edited by James Hastings (New York: Charles Scribner's Sons, 1910),
Vol. II, pp. 279-282, on page 282.
Related material: Time and Chance (Dec. 17, 2010).
This morning's exercise in lottery hermeneutics is unusually difficult.
Yesterday was Bloomsday (the date described in
James Joyce's Ulysses ) and the New York Lottery numbers were…
Midday numbers: 3-digit 181, 4-digit 9219.
Evening numbers: 3-digit 478, 4-digit 6449.
For 181 and 9219, see the following—
"With respect to every event, we must ask
which element has been subjected directly to change."
— Ferdinand de Saussure, Course in General Linguistics
(New York, The Philosophical Library, Inc., 1959), page 181
That Saussure page number was referenced in the following thesis
on James Joyce's other major novel, Finnegans Wake—
The thesis is from the University of Vienna (Universität Wien ).
The word Wien , in the derived form denoting an inhabitant of that city,
figured prominently in yesterday's news.
As for the evening numbers—
478 perhaps signifies the year 478 BC,
cited in Lawrence Durrell's Sicilian Carousel as the year
the ruler Gelon died.
For the evening 6449, note that the poem by Wallace Stevens quoted
here on June 15 in A for Anastasios deals with "the river of rivers"…
perhaps signifying time.
Interpreting 6449 chronologically yields 6/4/49.
The film artist John Huston, discussed in an essay from that date,
might appreciate the representation of the ancient Sicilian
river god Gelas as a man-headed bull on a coin from
around the year 478 BC.
For some perceptive remarks about Durrell, see the
article by Nigel Dennis in LIFE magazine's Nov. 21, 1960
issue (with cover noting Kennedy's victory in that year's
presidential election).
All of the above may be viewed as an approach to the aesthetic
problem posed by Dennis in yesterday's Bloomsday post—
"The problem that arises with this sort of writing is
one of form, i.e. , how to make one strong parcel
out of so many differently shaped commodities,
how to impose method on what would otherwise
be madness."
"The world has gone mad today…." — Cole Porter
For some related remarks, see page 161 of
Joyce's Catholic Comedy of Language *
by Beryl Schlossman (U. of Wisconsin Press, 1985)
and James Joyce in the final pages of The Left Hand of God
by Adolf Holl.
* Update of July 6, 2011—
This title is a correction from the previous title
given here, Moral Language by Mary Gore Forrester.
Google Books had Schlossman's content previewed
under Forrester's title.
The title was suggested by this evening's 4-digit NY lottery number.
"… the rhetoric might be a bit over the top."
According to Amazon.com, 2198 (i.e., 2/1/98) was the publication
date of Geometry of Vector Sheaves , Volume I, by Anastasios Mallios.
Related material—
The question of S.S. Chern quoted here June 10: —
"What is Geometry?"— and the remark by Stevens that
accompanied the quotation—
"Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
of dense investiture, with luminous vassals."
— Wallace Stevens,
“An Ordinary Evening in New Haven” VI
The work of Mallios in pure mathematics cited above seems
quite respectable (unlike his later remarks on physics).
His Vector Sheaves appears to be trying to explore new territory;
hence the relevance of Stevens's "Alpha." See also the phrase
"A-Invariance" in an undated preprint by Mallios*.
For the evening 3-digit number, 533, see a Stevens poem—
This meditation by Stevens is related to the female form of Mallios's Christian name.
As for the afternoon numbers, see "62" in The Beauty Test (May 23, 2007), Geometry and Death, and "9181" as the date 9/1/81.
* Later published in International Journal of Theoretical Physics , Vol. 47, No. 7, cover date 2008-07-01
The New York Times today on a new show by tightrope artist Philippe Petit—
“He comes out of that really wonderful European tradition of street performance— it blends a boundary of what’s art and what’s life,” said Jay Wegman, the director of the Abrons Arts Center, who offered Mr. Petit the three-night run. “He’s also kind of mischievous, not in a threatening or evil way, but in a child’s way of teasing and having fun.”
For a much darker approach to street performance that also involves mischief and blended boundaries, see "Tightrope" (1984)—
Background: Men in Feminism , edited by Alice Jardine and
published by Taylor & Francis in 1987, "Walking the Tightrope
of Feminism and Male Desire," by Judith Mayne, page 64
See also yesterday's Another Opening and Football in this journal.
NY Lottery this evening: 3-digit 444, 4-digit 0519.
444:
"… of our history … and of our destructive paths.
We are beginning to sense the need to restore
the sacred feminine." She paused. "You
mentioned you are writing a manuscript about
the symbols of the sacred feminine, are you not?"
"I …"
Related material— "Eightfold Geometry" + Spider in this journal.
For this afternoon's NY numbers— 511 and 9891— see
511 in the "Going Up" post of July 12, 2007, as well as
Ben Brantley's recent suggestion of Paris Hilton as a
matinee attraction and her 9891 photo on the Web.
Update of 7 AM —
Carl Gardner's 1956 hit "Down in Mexico" was featured in the following Hollywood classic:
Click image for video.
Note that the structure of the central flag above is not unlike that of the skull and crossbones flag.
But seriously—
Degreeless Noon—
Related material:
"Start the new year off with a new job at Pheedo."
Yesterday was the anniversary of "Raiders of the Lost Ark."
"And thirty years,
in the galaxies of birth,
Are time for counting
and remembering…."
— Wallace Stevens,
"Of Ideal Time and Choice"
Thirty years and a day after "Raiders" opened…
a more tranquil religious meditation.
Click images for further details.
See also Job: A Comedy of Justice and
the death of Wolf Birger, reportedly on D-Day.
Ben Brantley in The New York Times on May 26—
While you theatergoing butterflies out there keep nattering on about the Tonys— who will win, who should win, and so on— I have been focused on an issue of far greater momentousness and urgency. That’s the shameful squandering on Broadway of what our country would seem to believe is our most valued (and infinitely exploitable) natural resource: our celebrities….
Lindsay Lohan: This undeniably talented (and for all intents and purposes, former) film actress poses a special challenge. Her only recent work appears to have been as a paparazzi model and professional partygoer, and a big, line-laden dramatic part like Blanche DuBois might be too onerous to start with. So why not put her in the Broadway premiere of “Finishing the Picture,” a late-career Arthur Miller play inspired by the travails of making a movie (“The Misfits”) with his wife Marilyn Monroe? Having seen a production of this play in Chicago, I can testify that the Marilyn part requires only that the actress playing her be willing to appear asleep and stupefied and, briefly, to walk across the stage naked. For Ms. Lohan, who credibly impersonated Marilyn for a New York magazine photo shoot, this ought to be a cinch. Should an eight-performance week prove too taxing, I suggest Paris Hilton for matinees.
This midnight post was suggested by Sunday's midday 4-digit NY Lottery number, 7286, and by the following web pages:
7286 Style by Lindsay Lohan and 7286 Prisoner Transport.
Some background from a third 7286 web page—
Starlet Lindsay Lohan is bringing her signature Hollywood style to the masses with her new 7286 line. The starlet's stylish stamp is on every aspect of the line, from the name (7-2-86 is her birthday) to the brand's tag line : "Give a girl the right handbag, and she can conquer the world!"
Magic Time!
For fans of Douglas Adams and St. Augustine
Update of 2:20 AM June 13:
For the midday "042" as a reference to Adams, see Wikipedia. The "828" may be interpreted as a reference to St. Augustine's feast day, 8/28… or, for the more secularly minded, a reference to the time 8:28 PM (to go with the evening "0845" as a reference to 8:45 PM). For further details, see Times of the Times . The midday "7286" is more difficult. See midnight's Broadway Cinderella.
See also June 2, 2007, and June 19, 2010,
as well as Kernel of Eternity in this journal.
Some background— Square of Opposition
in the Stanford Encyclopedia of Philosophy
and Deep Structures in this journal.
"Mr. Messina is no ordinary Twitter user. The self-described
'hash godfather,' he officially invented the Twitter hashtag
in August 2007…."
— Ashley Parker (page ST1 of tomorrow's
NY Times National Edition)
But seriously—
Degreeless Noon—
A Comedy of Manners
Today is Stanford's Baccalaureate.
From Stanford Professor Emeritus Donald E. Knuth—
Some background for yesterday’s posts:
Midrash for Gnostics and related notes,
as well as yesterday’s New York Lottery.
…. “We seek
The poem of pure reality, untouched
By trope or deviation, straight to the word,
Straight to the transfixing object, to the object
At the exactest point at which it is itself,
Transfixing by being purely what it is….”
— Wallace Stevens (1879-1955),
“An Ordinary Evening in New Haven” IX
“Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
of dense investiture, with luminous vassals.”
— Wallace Stevens,
“An Ordinary Evening in New Haven” VI
“A hierophant is a person who brings religious congregants into the presence of that which is deemed holy . The word comes from Ancient Greece, where it was constructed from the combination of ta hiera , ‘the holy,’ and phainein , ‘to show.’ In Attica it was the title of the chief priest at the Eleusinian Mysteries. A hierophant is an interpreter of sacred mysteries and arcane principles.”
Weyl as Alpha, Chern as Omega—
Postscript for Ellen Page, star of “Smart People”
and of “X-Men: The Last Stand“— a different page 679.
Your assignment, should you choose to accept it—
Interpret today’s NY lottery numbers— Midday 815, Evening 888.
My own bias is toward 815 as 8/15 and 888 as a trinity,
but there may be less obvious and more interesting approaches.
Good question. See also
Chern died on the evening of Friday, Dec. 3, 2004 (Chinese time).
From the morning of that day (also Chinese time)—
i.e. , the evening of the preceding day here— some poetry.
Suggested by this afternoon’s NY Lottery number, 541—
Related material: Finite Relativity and The Schwartz Notes.
Meet Max
Also* in today's New York Times —
The Times piece is about Max Mathews, computer-music pioneer,
who died at 84 on Maundy Thursday, April 21.
* See Historical Fiction, 1 PM ET
… But perhaps not a supreme fiction.
"When we left the theater, my son and I knew we had experienced the most thrilling movie of the summer. 'First Class' is narratively lean, beautifully acted and, at all the right moments, visually stunning. But I had experienced something else. My son is 10 and a romantic, as all 10-year-olds surely have the right to be. How then do I speak to him of this world’s masterminds who render you a supporting actor in your own story?"
A meditation, while watching the Country Music Television
CMT Awards, on today's evening NY lottery number 469.
For Reese Witherspoon* and Dionysus, not Apollo—
A Funny Thing Happened
on the Way to the Edifice
— Page 469 of Wallace Stevens's Collected Poems
See also page 469 of Gravity's Rainbow (Penguin Classics 1995 paperback)—
* Not the Witherspoon Church of this evening's 6 PM entry.
Reese won Sunday's 2011 MTV Movie Awards' Generation Award .
Both the MTV Movie Awards and the CMT Awards are productions
of MTV Networks, a subsidiary of Viacom Inc. For some background,
see Sumner Redstone (formerly Rothstein).
From Princeton Public Library (65 Witherspoon St., on map above)—
Songs and Fingerplays—
Fingerplay— See this morning's 10:30 AM post.
Song— Paul Robeson sings "Summertime."
See also the Harvard version.
… and Arthur Koestler
The theme of the January 2010 issue of the
Notices of the American Mathematical Society was “Mathematics and the Arts.”
Related material:
|
See also two posts from the day Peter Jennings died—
The New Yorker 's review of The Great Escape (Simon & Schuster, $27), by Kati Marton—
"Marton, who fled Hungary as a child in 1957, illuminates Budapest's vertiginous Golden Age and the darkness that followed (a darkness that some of her subjects, notably Arthur Koestler, never shook)."
— Issue dated November 6, 2006
See also The Ninth Gate in this journal and the life of Marton's second husband, Peter Jennings.
Robert A. Heinlein—
"How about those empty universes?" I demanded.
"Maybe they are places about which stories will be written
or maybe stories have already been told but aren't favorites
of us four, so we don't emerge close to their scenes.
But those are guesses. So far as my theory is concerned,
such Universes are 'null' — they don't count one way or the other.
We find our universes."
"Sharpie, you have just invented pantheistic multiperson solipsism.
I didn't think it was mathematically possible."
"Zeb, anything is mathematically possible."
"Thanks, Jacob. Zebbie, 'solipsism' is a buzz word. I'm saying that
we've stumbled onto 'The Door in the Wall,' the one that leads to
the Land of Heart's Desire. I don't know how and have no use for
fancy rationalizations. I see a pattern; I'm not trying to explain it.
It just is ."
Ernest Hemingway—
"Isn't it pretty to think so?"
Today's midday NY lottery number was 176.
An occurrence of that number in this journal—
Umberto Eco,
Foucault’s Pendulum, page 176:
Here, too, you entered through a little garden…
Here is a picture of 176.
The NY Lottery's evening number today was 975.
See today's previous remarks and Post 975.
"… What Paris says to me is love story, awash with painters,
shots of the Seine, Champagne. Thank God I have a
can’t-miss notion to sell you. I call it ‘Midnight in Paris.’ ”
“Romantic title,” I had to admit. “Is there a script?”
“Actually, there’s nothing on paper yet, but I can spitball
the main points,” he said, slipping on his tap shoes.
“Maybe some other time,” I said, mindful of Cubbage’s
unbroken string of theatrical Hiroshimas.
— Woody Allen, May 5, 2011
See also "Some Other Time" in Post 552.
Today's midday NY Lottery number was 753, the number of a significant page in Gravity's Rainbow .
An excerpt from that page ((Penguin Classics paperback, June 1, 1995)—
"… the Abyss had crept intolerably close, only an accident away…."
Midrash— See Ben Stein in this journal.
But seriously… See "Geometry and Death" in this journal.
See also PlanetMath.org on the Hesse configuration—
A picture of the Hesse configuration—
.
Some context— A Study in Art Education.
Dreamtime
"…we're presented with the dream within the dream within the dream…."
— Remark on "Inception" in a review of Malick's "The Tree of Life"
The Way of Nature
Singer/songwriter/musician Andrew Gold died on Friday, June 3, reportedly in the early morning.
The Way of Grace
"They've heard lonely songs they thought were the livin' end."
— Reviewer's parody of James Taylor's "Fire and Rain"
printed in the Spokane Chronicle on May 28, 1991—
the Feast of St. Germain—
See also First Class, from the day of Gold's death, as well as the later
Midnight and Paris and Mystery.
Background— The above 1991 story about Taylor mentions his interpretation of
"Getting to Know You," from "The King and I." Gold's mother, Marni Nixon, was
the singing voice of Deborah Kerr in the film of that musical.
“It's a very ancient saying, but a true and honest thought…."
"Total grandeur of a total edifice,
Chosen by an inquisitor of structures
For himself. He stops upon this threshold,
As if the design of all his words takes form
And frame from thinking and is realized."
— Wallace Stevens, "To an Old Philosopher in Rome"
The following edifice may be lacking in grandeur,
and its properties as a configuration were known long
before I stumbled across a description of it… still…
"What we do may be small, but it has
a certain character of permanence…."
— G.H. Hardy, A Mathematician's Apology
The Kummer 166 Configuration
as seen by Kantor in 1969— (pdf, 2.5 MB)
For some background, see Configurations and Squares.
For some quite different geometry of the 4×4 square that is
original with me, see a page with that title. (The geometry's
importance depends in part on its connection with the
Miracle Octad Generator (MOG) of R.T. Curtis. I of course
had nothing to do with the MOG's discovery, but I do claim credit
for discovering some geometric properties of the 4×4 square
that constitutes two-thirds of the MOG as originally defined .)
Related material— The Schwartz Notes of June 1.
"… a little mystery to figure out…." — Bonnie Raitt, 1991
Two writers walk into a bar…
(A phrase from Immoveable Feast on May 28, 2005. See also May 28 this year.)
Yesterday's post First Class featured a picture of Mystique.
A related passage* from a book pictured here May 28—
See also Wallace Stevens on the Center.
* on participation mystique — "The primitive mind
does not differentiate the supernatural from reality,
but rather uses 'mystical participation'
to manipulate the world."
— Wikipedia
'X-Men: First Class' Does
Good Midnight Business
“Madame, all stories, if continued far enough, end in death,
and he is no true-story teller who would keep that from you.”
– Ernest Hemingway,
Death in the Afternoon, Ch. 11
“There is never any ending to Paris….”
– Ernest Hemingway, A Moveable Feast
See also Back from the Shadows.
“It's a very ancient saying, but a true and honest thought,
that if you become a teacher, by your pupils you'll be taught.”
Related material—
* Spiritual Exercises of Ignatius Loyola—
It should be noted here that for contemplation or meditation about
visible things… the ‘composition’ will consist in seeing through the
gaze of the imagination the material place where the object I want
to contemplate is situated.
West Side Memories (an off-off-off-off Broadway production)—
Hexagram 55 "Be not sad. |
This morning's previous post suggests the following…
* See May 16.
Today is Commencement Day at MIT.
“To measure the changes — Shing-Tung Yau, To measure the changes: The smartest are nothing: |
Well, perhaps not quite nothing.
The above pictures were posted here on the day the following book was published—
The lives of the nine Jews in the above book amount to more than Yau's "nothing."
Note, however, that claims by Jews (see Jill Abramson yesterday)
that their secular publications constitute a substitute for religion
and contain only "absolute truth" should be viewed with at least one
raised eyebrow.
Abramson's remark yesterday that her promotion to New York Times executive editor
was like "ascending to Valhalla" had a religious flavor worthy of yesterday's
Feast of the Ascension.
In related news from yesterday's Times—
See also a symbol related to Apollo, to nine, and to "nothing"—
A minimalist 3×3 matrix favicon—
This may, if one likes, be viewed as the "nothing"
present at the Creation. See Jim Holt on physics.
See posts on Keller in this journal.
A sample piece by the new editor— “The Lionesses” (2006 book review).
See today's NY lottery numbers* and Gravity's Rainbow , pp. 656-657.
(Penguin Classics paperback, June 1, 1995.)
"Show me all the blueprints."
— Howard Hughes, according to Hollywood
* Readers new to lottery hermeneutics may consult
some remarks by Stuart Moulthrop.
A Google search today for material on the Web that puts the diamond theorem
in context yielded a satisfyingly complete list. (See the first 21 results.)
(Customization based on signed-out search activity was disabled.)
The same search limited to results from only the past month yielded,
in addition, the following—
This turns out to be a document by one Richard Evan Schwartz,
Chancellor’s Professor of Mathematics at Brown University.
Pages 12-14 of the document, which is untitled, undated, and
unsigned, discuss the finite-geometry background of the R.T.
Curtis Miracle Octad Generator (MOG) . As today’s earlier search indicates,
this is closely related to the diamond theorem. The section relating
the geometry to the MOG is titled “The MOG and Projective Space.”
It does not mention my own work.
See Schwartz’s page 12, page 13, and page 14.
Compare to the web pages from today’s earlier search.
There are no references at the end of the Schwartz document,
but there is this at the beginning—
These are some notes on error correcting codes. Two good sources for
this material are
• From Error Correcting Codes through Sphere Packings to Simple Groups ,
by Thomas Thompson.
• Sphere Packings, Lattices, and Simple Groups by J. H. Conway and N.
Sloane
Planet Math (on the internet) also some information.
It seems clear that these inadequate remarks by Schwartz on his sources
can and should be expanded.
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