The news item at lower right in the above image, with the phrase "surprise U-turn,"
suggests some remarks related to this summer's Enniskillen festival.
Saturday, August 31, 2013
What Where
Friday, August 30, 2013
Her
(A sequel to today's noon post, Hymn)
Portrait, in the 2013 film Oblivion , of a 2005 graduate
of London's Royal Academy of Dramatic Art —
London derrière.
Hymn
"By recalling the past and freezing the present
he could open the gates of time…."
— Mark Helprin, In Sunlight and in Shadow
Thursday, August 29, 2013
An End in Itself
(Mathematics and Narrative, continued from May 9, 2013)
See also Scriba's The Concept of Number and,
from the date of his death, The Zero Theorem.
Wednesday, August 28, 2013
Noir sur Blanc
Some backstory for this post's title—
A post from the day of Mrozek's death may also be relevant—
Tuesday, August 27, 2013
What Seems Insanity
On a way of seeing— superimposition—
that "seems insanity" (cf. C. S. Lewis's remarks below)
Combining last night's post Spectrum with
the August 14 post Valhalla Is Down…
From An Experiment in Criticism
by C.S. Lewis, 1961–
"If we go steadily through all the myths of any people
we shall be appalled by much of what we read.
Most of them, whatever they may have meant to
ancient or savage man, are to us meaningless and
shocking; shocking not only by their cruelty and
obscenity but by their apparent silliness— almost
what seems insanity. Out of this rank and squalid
undergrowth the great myths— Orpheus, Demeter
and Persephone, the Hesperides, Balder, Ragnarok,
or Ilmarinen's forging of the Sampo– rise like elms."
Voilà —
The Aug. 14 post Valhalla Is Down referred to a New York Times blackout.
(Jill Abramson, on earlier being named executive editor at the Times, had
said it was like "ascending into Valhalla.")
Another Times blackout occurred today.
Lewis's term Ragnarok refers to the twilight of the gods of Valhalla.
A more conventional illustration from the gamer website Ragnarok/Valhalla Wiki —

Perspective
For Fans of Bad Movies*
This post was suggested by my viewing last night
the 1995 horror film Species , and by news that
Scarlett Johansson will be starring in a similar
production at the Venice Film Festival, which
opens tomorrow.
The new Johansson film, Under the Skin ,
is based on a novel by one Michel Faber.
Faber on books that have influenced him—
"Most influential has possibly been John Berger's Ways of Seeing —
not a novel at all (although Berger has written fiction) but a book of
art criticism. The influence of these wonderfully perceptive and
thought-provoking essays peeps out everywhere in my own work."
An excerpt from the Berger book—
Click image for a better view of the original.
Related material: Johansson in this journal, Sunday's NY Times
teaser for a piece on Saturday Night Live, and a more serious
approach to the geometry of perspective.
* And of Ben Kingsley, who starred both in Species and in
a previous film by the director of Under the Skin .
Monday, August 26, 2013
Spectrum
From the weblog of Dr. David Justice today :
C.S. Lewis somewhere (in time, in retirement, I might recover
the passage) surveys the spectrum of plot-outlines, and notes
that that of Orpheus retains its power to spellbind, even in a
bare-bones form, whereas that of almost all worthy modern novels,
become as dust upon such summary.
We venture now upon that territory where words fail ….
Related material :
C. S. Lewis on Orpheus (click to enlarge) —
Lewis, according to Justice, "surveys the spectrum of plot-outlines."
A related image (see, too, today's previous post) —
C. S. Lewis on myth —
"The stories I am thinking of always have a very simple narrative shape—
a satisfactory and inevitable shape, like a good vase or a tulip."
Conceptual Art
For concepts of prism, spectrum, and tulip combined, see Sicilian Reflections.
"For every kind of vampire, there is a kind of cross."
— Gravity's Rainbow
Dark Side Tales
"Got to keep the loonies on the path."
— Lyrics to Dark Side of the Moon
For those who, like Tom Stoppard, prefer the dark side—
|
NEW ANGLE:
INT. OFFICE BUILDING – NIGHT
NIGHT WATCHMAN
Bateman wheels around and shoots him.
NEW ANGLE:
INT. PIERCE & PIERCE LOBBY – NIGHT
— AMERICAN PSYCHO |
Not quite so dark—
"And then one day you find ten years have got behind you."
— Lyrics to Dark Side of the Moon
This journal ten years ago, on August 25, 2003—
|
… We seek
The poem of pure reality, untouched
At the exactest point at which it is itself,
The eye made clear of uncertainty, with the sight
Everything, the spirit's alchemicana
The solid, but the movable, the moment,
— Wallace Stevens, "An Ordinary Evening |
"A view of New Haven, say…." —
"This is the garden of Apollo,
the field of Reason…."
John Outram, architect
A similar version of this Apollonian image —
Detail:
Related material for the loonies:
Sunday, August 25, 2013
Where Entertainment Is God
For film and TV director Ted Post, who
reportedly died on Tuesday, Aug. 20.
See that day's post "Conversations with
an Empty Chair" and today's NY Times—
Saturday, August 24, 2013
Being’s Road
For the late Julie Harris —
By slow and carefully modulated steps Bradford's narrative
has brought his community of separatists to the place he
calls Cape Harbor… where, face-to-face with the bleak
and wintry reduction that is his image for American space,
he finds himself stopped, able to do nothing but come to
an astonished pause. The final step, that of imaginative
crossing into the land that lies before them, remains
beyond the power of narrative to take. Narrative falters, and
finding his journey advanced to an "odd Fork in Being's Road"
and himself nothing so much as an "empty spirit / In vacant
space" (to adopt apt phrases from Dickinson and Stevens…),
Bradford requires the sublime if he is to continue moving
forward: separation becomes exaltation as it becomes
manifest that only an influx of "the Spirit of God and His
grace" can have permitted the community to survive its
passage to the limit depicted.
— David Laurence, "William Bradford's American Sublime,"
PMLA , Vol. 102, No. 1, 1987, pp. 55-65
Cast (continued)
The death yesterday of British cinematographer
Gilbert Taylor suggests an image from last evening's
Log24 search Point Omega —
.
The die in the above image (shown here Dec. 28, 2012)
displays the numbers 3-6-5 in counterclockwise order.
A similar die in an earlier post served as a metaphor for
a time-jump to 365 days in the past.
For some religious remarks by Umberto Eco that may
serve as a small memorial to Taylor, see this journal
a year before the day he died— August 23, 2012.
Friday, August 23, 2013
Vacant Space
A passage from Wallace Stevens—
The spirit and space,
The empty spirit
In vacant space.
A frame from the film American Psycho (2000), starring Christian Bale—
The rest of the film is not recommended.
Related material—
"24 Hour Psycho" at the Museum of Modern Art in the novel Point Omega .
Illustration from a New York Times review—
Ten Years of Nothing
For insatiable actor Patrick Bateman (protagonist of
American Psycho) and anti-theologian Kirk Varnedoe
( Pictures of Nothing, this journal ten years ago today )
|
Philip Rieff, The Crisis of the Officer Class,
The third culture's life-style, its way, is no way: it is abandonment,
proclaims
This is masterly anti-theology. This is what no "mickey mockers" of
[12] Wallace Stevens, "To the One of Fictive Music," in Collected
velous panic and emptiness of belief by which the "sublime comes
The spirit and space,
This poet is no great character, nor temple priest. He is a virtuoso
[13] Stevens, "The American Sublime," 130-31 |
Thursday, August 22, 2013
Wednesday, August 21, 2013
The 21
A useful article on finite geometry,
"21 – 6 = 15: A Connection between Two Distinguished Geometries,"
by Albrecht Beutelspacher, American Mathematical Monthly ,
Vol. 93, No. 1, January 1986, pp. 29-41, is available for purchase
at JSTOR.
This article is related to the geometry of the six-set.
For some background, see remarks from 1986 at finitegeometry.org.
Jazz Saint
From an obituary of a jazz pianist and host of
a radio interview program on jazz —
McPartland said the conversations themselves
were very much like jazz, spontaneous and
free-flowing.
"It's so easy to make it a conversation, and
you don't know where it's going to lead,"
McPartland said.
See, too, last night's Conversations with an Empty Chair .
Tuesday, August 20, 2013
Conversations with an Empty Chair
(Continued from 4 AM Sunday, Sept. 10, 2006 —
Meet Max Black .)
In memory of office chair designer Charles Pollock,
who reportedly died today at 83.
An image from the 2006 Meet Max Black empty-chair post
appears also in today's previous post, The 20 .
The conversation of this post's title (see The 20 ) —

The 20
In memory of author Elmore Leonard—
A graphic symbol and a search for "Nowhere"*
in this journal yield…
|
Pictorial version |
"Cotton Mather died
— Wallace Stevens, |
* See previous post.
Monday, August 19, 2013
Tale
The tale is not Thomas Nagel's remarks on philosophy
summarized above, but rather the late John Hollander's
remarks on Nowhere:
"We all know where it is they've gone, the dead:
Beyond Noplace, far into wide Nowhere."
See also Nagel's book The View from Nowhere .
Noon
Last midnight's post quoted poet John Hollander
on Cervantes—
"… the Don’s view of the world is correct at midnight,
and Sancho’s at noon."
The post concluded with a figure that might, if
rotated slightly, be regarded as a sort of Star of
David or Solomon's Seal. The figure's six vertices
may be viewed as an illustration of Pascal's
"mystic hexagram."
Pacal's hexagram is usually described
as a hexagon inscribed in a conic
(such as a circle). Clearly the hexagon
above may be so inscribed.
The figure suggests that last midnight's Don be
played by the nineteenth-century mathematician
James Joseph Sylvester. His 1854 remarks on
the nature of geometry describe a different approach
to the Pascal hexagram—
| "… the celebrated theorem of Pascal known under the name of the Mystic Hexagram, which is, that if you take two straight lines in a plane, and draw at random other straight lines traversing in a zigzag fashion between them, from A in the first to B in the second, from B in the second to C in the first, from C in the first to D in the second, from D in the second to E in the first, from E in the first to F in the second and finally from F in the second back again to A the starting point in the first, so as to obtain ABCDEF a twisted hexagon, or sort of cat's-cradle figure and if you arrange the six lines so drawn symmetrically in three couples: viz. the 1st and 4th in one couple, the 2nd and 5th in a second couple, the 3rd and 6th in a third couple; then (no matter how the points ACE have been selected upon one of the given lines, and BDF upon the other) the three points through which these three couples of lines respectively pass, or to which they converge (as the case may be) will lie all in one and the same straight line." |
For a Sancho view of Sylvester's "cat's cradle," see some twentieth-century
remarks on "the most important configuration of all geometry"—
"Now look, your grace," said Sancho,
"what you see over there aren't giants,
but windmills, and what seems to be arms
are just their sails, that go around in the wind
and turn the millstone."
"Obviously," replied Don Quijote,
"you don't know much about adventures.”
Midnight in the Garden
From a 2003 interview by Paul Devlin (PD) with poet John Hollander (JH),
who reportedly died Saturday—
|
PD: You wrote in the introduction to the new edition of Reflections on Espionage that whenever you have been "free of political callowness" it was partly as a result of reading W.H. Auden, George Orwell, and George Bernard Shaw. Do you think these writers might possibly be an antidote to political callowness that exists in much contemporary literary criticism? JH: If not they, then some other writers who can help one develop within one a skepticism strongly intertwined with passion, so that each can simultaneously check and reinforce the other. It provides great protection from being overcome by blind, true-believing zeal and corrupting cynicism (which may be two sides of the same false coin). Shaw was a great teacher for many in my generation. I started reading him when I was in sixth grade, and I responded strongly not only to the wit but to various modes, scene and occasions of argument and debate as they were framed by various kinds of dramatic situation. I remember being electrified when quite young by the moment in the epilogue scene of Saint Joan when the English chaplain, De Stogumber, who had been so zealous in urging for Joan’s being burned at the stake, returns to testify about how seeing her suffering the flames had made a changed man of him. The Inquisitor, Peter Cauchon, calls out (with what I imagined was a kind of moral distaste I’d never been aware of before), "Must then a Christ perish in torment in every age to save those who have no imagination?" It introduced me to a skepticism about the self-satisfaction of the born-again, of any persuasion. With Auden and Orwell, much later on and after my mental world had become more complicated, it was education in negotiating a living way between a destructively naïve idealism and the crackpot realism—equally inimical to the pragmatic. PD: Would you consider yourself a "formal" pragmatist, i.e., a student of Peirce, James, Dewey, Mead (etc.) or an "informal" pragmatist – someone taking the common-sense position on events…or someone who refuses to be pigeon-holed politically? JH: "Informal" – of the sort that often leads me to ask of theoretical formulations, "Yes, but what’s it for ?" PD: Which other authors do you think might help us negotiate between "naïve idealism" and "crackpot realism"? I think of Joyce, Wallace Stevens, perhaps Faulkner? JH: When I was in college, a strong teacher for just this question was Cervantes. One feels, in an Emersonian way, that the Don’s view of the world is correct at midnight, and Sancho’s at noon. |
Then there is mathematical realism.
A post in this journal on Saturday, the reported date of Hollander's death,
discussed a possible 21st-century application of 19th-century geometry.
For some background, see Peter J. Cameron's May 11, 2010, remarks
on Sylvester's duads and synthemes . The following figure from the
paper discussed here Saturday is related to figures in Cameron's remarks.

Sunday, August 18, 2013
The Company He Keeps
Alexander Pierce and Black Widow, scheduled
to appear in Captain America: The Winter Soldier
on April 4, 2014—
"God, isn't there already enough crap in this story?"
— Margaret Soltan, quoted here on Aug. 7, 2007
Happy birthday, Robert Redford.
Seeing a Form
A book noted here on Sept. 16, 2010—
On that date, Harvard historian of science
John E. Murdoch died.
"It's still the same old story…"
Related material: Faust + Potter in this journal.
Happy birthday, Roman Polanski.
Today in History
Academy Award-winning director Roman Polanski is 80.
Actor-director Robert Redford is 77.
Actor-comedian Martin Mull is 70.
— The Associated Press
Related material —
… and Your Shiny Friend.
Saturday, August 17, 2013
The Story of N…
Up-to-Date Geometry
The following excerpt from a January 20, 2013, preprint shows that
a Galois-geometry version of the large Desargues 154203 configuration,
although based on the nineteenth-century work of Galois* and of Fano,**
may at times have twenty-first-century applications.
Atkinson's paper does not use the square model of PG(3,2), which later
in 2013 provided a natural view of the large Desargues 154203 configuration.
See my own Classical Geometry in Light of Galois Geometry. Atkinson's
"subset of 20 lines" corresponds to 20 of the 80 Rosenhain tetrads
mentioned in that later article and pictured within 4×4 squares in Hudson's
1905 classic Kummer's Quartic Surface.
* E. Galois, definition of finite fields in "Sur la Théorie des Nombres,"
Bulletin des Sciences Mathématiques de M. Férussac,
Vol. 13, 1830, pp. 428-435.
** G. Fano, definition of PG(3,2) in "Sui Postulati Fondamentali…,"
Giornale di Matematiche, Vol. 30, 1892, pp. 106-132.
Friday, August 16, 2013
Inglorious

(From French Wikipedia. Click image for
more about the Théâtre de la Madeleine.*)
For Le Salaud Lumineux ("The Brilliant Bastard"),
a Devil's advocate who reportedly died on August 15—
a quotation from this journal linked to here on that date—
"To me, the most genuine last words are those
that arise naturally from the moment, such as
Voltaire’s response to a request that he forswear
Satan: 'This is no time to make new enemies.' "
— Christopher Orlet, The Vocabula Review
(http://www.vocabula.com/index.asp)
July/August 2002 Issue, as quoted in
Utne Reader
* Le Théâtre de la Madeleine is apparently named for
its proximity to L'Église de la Madeleine .
Six-Set Geometry
From April 23, 2013, in
"Classical Geometry in Light of Galois Geometry"—
Click above image for some background from 1986.
Related material on six-set geometry from the classical literature—
Baker, H. F., "Note II: On the Hexagrammum Mysticum of Pascal,"
in Principles of Geometry , Vol. II, Camb. U. Press, 1930, pp. 219-236
Richmond, H. W., "The Figure Formed from Six Points in Space of Four Dimensions,"
Mathematische Annalen (1900), Volume 53, Issue 1-2, pp 161-176
Richmond, H. W., "On the Figure of Six Points in Space of Four Dimensions,"
Quarterly Journal of Pure and Applied Mathematics , Vol. 31 (1900), pp. 125-160


















