Thanks for the warning. Other news for Thursday, August 7th —
Monday, August 4, 2025
Commedia dell’Arte: Comedy vs. Art
Sunday, May 25, 2025
Wednesday, October 23, 2024
The Delta Transform
Rothko — "… the elimination of all obstacles between the painter and
the idea, and between the idea and the observer."
Walker Percy has similarly discussed elimination of obstacles between
the speaker and the word, and between the word and the hearer.
Click images to enlarge.
Related mathematics —
The source: http://finitegeometry.org/sc/gen/typednotes.html.
A document from the above image —
|
AN INVARIANCE OF SYMMETRY BY STEVEN H. CULLINANE
We present a simple, surprising, and beautiful combinatorial
DEFINITION. A delta transform of a square array over a 4-set is
THEOREM. Every delta transform of the Klein group table has
PROOF (Sketch). The Klein group is the additive group of GF (4);
All delta transforms of the 45 matrices in the algebra generated by
THEOREM. If 1 m ≤ n2+2, there is an algebra of 4m
An induction proof constructs sets of basis matrices that yield REFERENCE S. H. Cullinane, Diamond theory (preprint). |
Update of 1:12 AM ET on Friday, Oct. 25, 2024 —
The above "invariance of symmetry" document was written in 1978
for submission to the "Research Announcements" section of the
Bulletin of the American Mathematical Society . This pro forma
submission was, of course, rejected. Though written before
I learned of similar underlying structures in the 1974 work of
R. T. Curtis on his "Miracle Octad Generator," it is not without
relevance to his work.
Tuesday, October 22, 2024
Thursday, September 19, 2024
Wednesday, August 28, 2024
Forms
'In the wide realm of the world
there are ancient forms,
incorruptible and eternal forms —
any one of them might be
the symbol that I sought."
— "The Writing of the God," by Jorge Luis Borges
"The governor showed him a cell
whose floor, walls, and vaulted ceiling
were covered by a drawing (in barbaric colors
that time, before obliterating, had refined)
of an infinite tiger. It was a tiger composed of
many tigers, in the most dizzying of ways;
it was crisscrossed with tigers, striped with tigers,
and contained seas and Himalayas and armies
that resembled other tigers."
— "The Zahir," by Jorge Luis Borges
Related art:
Saturday, May 4, 2024
The Showalter Letter
Wikipedia on the director of Anne Hathaway's new film "The Idea of You" —
"[Michael] Showalter was born in Princeton, New Jersey, the son of
Elaine Showalter (née Cottler), an author, feminist literary critic,
and professor of English, and English Showalter, a Yale-educated
professor of 18th century French literature. His father is Episcopalian
and his mother is Jewish."
See also Elaine Showalter in this journal on "O for Ophelia."
"But the tigers come at night . . ." — Anne Hathaway as Fantine
Saturday, March 23, 2024
Annals of Deceptive Fiction: Life of Pi
The image of a mathematician reading Life of Pi in today's 8:36 AM ET post
suggests some further reading, not about a fictional tiger —
- Wikipedia on the life of Richard A. Parker and
- Robert A. Wilson on the mathematics of Richard A. Parker.
As for the tiger . . .
Wednesday, September 4, 2019
Wednesday, August 28, 2019
Tiger’s Leap to 1905
Tuesday, August 27, 2019
Tiger Leaps
Saturday, March 25, 2017
Like Decorations in a Cartoon Graveyard
… Continued from April 11, 2016, and from …
A tribute to Rothko suggested by the previous post —
For the idea of Rothko's obstacles, see Hexagram 39 in this journal.
Friday, December 16, 2016
Rothko’s Swamps
“… you don’t write off an aging loved one
just because he or she becomes cranky.”
— Peter Schjeldahl on Rothko in The New Yorker ,
issue dated December 19 & 26, 2016, page 27
He was cranky in his forties too —
See Rothko + Swamp in this journal.
Related attitude —
From Subway Art for Times Square Church , Nov. 7
Saturday, March 2, 2013
Life of Pi
Earlier…
"But the tigers come at night,
With their voices soft as thunder."
Sunday, January 30, 2011
Sermon
Today's sermon, suggested by yesterday's New York midday and evening lottery— "6/18 and 4/18."
Background for 6/18— Go Tigers!
Background for 4/18— Requiem for an Editor*
Friday, July 3, 2009
Friday July 3, 2009
continued
“The tigers of wrath are wiser
than the horses of instruction.”
— Blake
“… the moment is not
properly an atom of time
but an atom of eternity.
It is the first reflection
of eternity in time, its first
attempt, as it were, at
stopping time….”
— Kierkegaard
|
Symmetry Axes
of the Square: ![]()
From the cover of the
|
A Monolith
for Kierkegaard: |
Todo lo sé por el lucero puro
que brilla en la diadema de la Muerte.
— Rubén Darío
Related material:
The deaths of
Ernest Hemingway
on the morning of
Sunday, July 2, 1961,
and of Alexis Arguello
on the morning of
Wednesday, July 1, 2009.
See also philosophy professor
Clancy Martin in the
London Review of Books
(issue dated July 9, 2009)
on AA members as losers—
“the ‘last men,’ the nihilists,
the hopeless ones.”
Thursday, January 3, 2008
Thursday January 3, 2008
continued:
The Revelation Game
New Year’s reading for
the tigers of Princeton
Two reviews from the February 2008 Notices of the American Mathematical Society:
From a review of
A Certain Ambiguity
(A Mathematical Novel)
by Gaurav Suri and Hartosh Singh Bal
Princeton University Press
Hardcover, US$27.95, 281 pages —
“From the Habermas-Lyotard debate (see [1] for an introduction) to the Sokal hoax ([4]), to recent atheist manifestos on the bestseller lists (e.g., [2]) the question of foundations for intellectual thought and especially for intellectual debate has never been more critical or urgent.”
[1] M. Bérubé, What’s Liberal about the Liberal Arts? Classroom Politics and “Bias” in Higher Education, W. W. Norton, 2006.
[2] S. Harris, Letter to a Christian Nation, Knopf, 2006.
[4] A. Sokal and P. Bricmont, Fashionable Nonsense: Postmodern Intellectuals’ Abuse of Science, Picador, 1999.
Also in the February Notices– a review of a book, Superior Beings: If They Exist, How Would We Know?, in which the author
“.. uses elementary ideas from game theory to create situations between a Person (P) and God (Supreme Being, SB) and discusses how each reacts to the other in these model scenarios….
In the ‘Revelation Game,’ for example,
the Person (P) has two options:
1) P can believe in SB’s existence
2) P can not believe in SB’s existence
The Supreme Being also has two options:
1) SB can reveal Himself
2) SB can not reveal Himself….
… [and] goals allow us to rank all the outcomes for each player from best… to worst…. The question we must answer is: what is the Nash equilibrium in this case?”
The answer is what one might expect from the American Mathematical Society:
“… the dominant strategy for both is when SB does not reveal Himself and P does not believe in His existence.”
Other strategies are, of course, possible. See last year’s entries.
See also
the life of John Nash,
for whom the above
equilibrium is named.
Sunday, December 30, 2007
Sunday December 30, 2007
Part I:
The Gauntlet
On Jonah Goldberg's new book Liberal Fascism– an attack on, among others, Woodrow Wilson:
"'… at some point,' Goldberg writes, 'it is necessary to throw down the gauntlet, to draw a line in the sand, to set a boundary, to cry at long last, "Enough is enough."'"
Part II:
Uncle Duke
Goes to Washington
Today's Doonesbury:
Part III:
A Holiday Tradition
SUMMERS: When the country needs men up there who know and have courage as it never did before, he's just gonna decorate a chair and get himself honored.
DARRELL: Oh, but he'll vote! Sure. Just like his colleague tells him to.
DIZ: "Yes, sir," like a Christmas tiger. He'll nod his head and vote…
REPORTERS: "Yes."
DIZ: You're not a Senator! You're an honorary stooge! You ought to be shown up!
Part IV:
The Tigers of Princeton
The Christmas number may also be interpreted as a reference to 6/6/6, the graduation date of the Class of 2006 at Princeton University.
Part V:
"Heil Woodrow!"
to accompany the Goldberg Heil:
For another heraldic emblem
related, if only in this journal,
to Princeton, see
Religious Symbolism
at Princeton:
Goldberg might prefer,
for his Heil,
the following variation:
|
Fahne, |
Dr. Mengele, |
Click on the Fahne (flag)
for further details.
Goldberg might also enjoy

Santa from Aaron Sorkin's
Studio 60 on the Sunset Strip
Related material:
Monday, August 6, 2007
Wednesday, July 18, 2007
Wednesday July 18, 2007
— Pope Benedict XVI
in Brazil on May 13
Yesterday in
the Keystone State:

“There are two ways of knowing things, knowing them immediately or intuitively, and knowing them conceptually or representatively. Altho such things as the white paper before our eyes can be known intuitively, most of the things we know, the tigers now in India, for example, or the scholastic system of philosophy, are known only representatively or symbolically.
Suppose, to fix our ideas, that we take first a case of conceptual knowledge, and let it be our knowledge of the tigers in India, as we sit here. Exactly what do we mean by saying that we here know the tigers? ….
Most men would answer that what we mean by knowing the tigers is having them, however absent in body, become in some way present to our thought…. At the very least, people would say that what we mean by knowing the tigers is mentally pointing towards them as we sit here….
… The pointing of our thought to the tigers is known simply and solely as a procession of mental associates and motor consequences that follow on the thought, and that would lead harmoniously, if followed out, into some ideal or real context, or even into the immediate presence, of the tigers….
… In all this there is no self-transcendency in our mental images taken by themselves. They are one phenomenal fact; the tigers are another; and their pointing to the tigers is a perfectly commonplace intra-experiential relation, if you once grant a connecting world to be there. In short, the ideas and the tigers are in themselves as loose and separate, to use Hume’s language, as any two things can be, and pointing means here an operation as external and adventitious as any that nature yields.
I hope you may agree with me now that in representative knowledge there is no special inner mystery, but only an outer chain of physical or mental intermediaries connecting thought and thing. To know an object is here to lead to it through a context which the world supplies….
Let us next pass on to the case of immediate or intuitive acquaintance with an object, and let the object be the white paper before our eyes…. What now do we mean by ‘knowing’ such a sort of object as this? For this is also the way in which we should know the tiger if our conceptual idea of him were to terminate by having led us to his lair?
… the paper seen and the seeing of it are only two names for one indivisible fact which, properly named, is the datum, the phenomenon, or the experience. The paper is in the mind and the mind is around the paper, because paper and mind are only two names that are given later to the one experience, when, taken in a larger world of which it forms a part, its connections are traced in different directions.1“

James’s The Varieties of
Religious Experience.
“The Tigers in India” is
only a part of a 20-page
James address originally titled
“The Knowing of Things Together“
(my emphasis).
Sunday, October 22, 2006
Sunday October 22, 2006

On this date:
“In 1746,
Princeton University
in New Jersey received
its charter.”
— Today in History
by The Associated Press
“The charter… authorized
the erection of a college….”
Tuesday, March 14, 2006
Tuesday March 14, 2006
and Minkowski Space-Time
(For the tigers of Princeton,
a selection suggested by
the work of Richard Parker
on Lorentzian lattices)

Sunday, August 7, 2005
Sunday August 7, 2005
The Rev. Dr. Theodore Alexander Gill Sr., a Presbyterian theologian, a philosophy teacher, and an influential provost emeritus of John Jay College of Criminal Justice in Manhattan, died at 85 on June 10 in Princeton. In retirement from John Jay, The Rev. Dr. Gill was theologian in residence at Nassau Presbyterian Church in Princeton.
In memory of The Rev. Dr. Gill:
Religious Symbolism at Princeton
(on Nassau Presbyterian Church),
Pro-Semitism
(on number theory at Princeton),
For the Mad Musicians of Princeton,
(on Schroeder and Bernstein),
Movie Date and its preceding entries
(on Princeton’s St. John von Neumann),
Why Me?
(for Princeton theologian Elaine Pagels),
Notes on Literary and Philosophical Puzzles
(Princeton’s John Nash as Ya Ya Fontana), and
Go Tigers!
(for the Princeton Evangelical Fellowship).
Saturday, January 22, 2005
Saturday January 22, 2005
Go Tigers!
Recommended reading for the
Princeton Evangelical Fellowship (PEF):
Walter Kirn, Lost in the Meritocracy,
Atlantic Monthly Jan.-Feb. 2005

"Only by the form, the pattern,
Can words or music reach
The stillness."
— T. S. Eliot
Wednesday, January 19, 2005
Wednesday January 19, 2005
But seriously…
A follow-up to the previous "tiger" entry (which was about an old but good dirty joke).
I just subscribed to The New York Review of Books online for another year, prompted by my desire to read Roger Shattuck on Rimbaud, a tiger of another sort:
"How did this poetic sensibility come to burn so bright?"
The Shattuck piece is from 1967, the year of The Doors' first album. (See Sunday's Death and the Spirit, Part II.)
Tuesday, January 18, 2005
Tuesday January 18, 2005
the Spirit, Part III
In memory of comedian
Gene Baylos, who died
on Jan. 10, 2005:
From the dark jungle
as a tiger bright,
Form from the viewless Spirit
leaps to light.
— Rumi, "Reality and Appearance"
Sunday, January 16, 2005
Sunday January 16, 2005
Death and the
Spirit, Part II
Are you a lucky little lady
in The City of Light
Or just another lost angel…
City of Night
— Jim Morrison, L.A. Woman
Fourmillante cité,
cité pleine de rêves,
Où le spectre en plein jour
raccroche le passant
— Baudelaire,
Les Fleurs du Mal,
and
Notes to The Waste Land
"When you got the mojo, brother —
when you're on the inside —
the world is fantastic."
— Pablo Tabor in Robert Stone's
A Flag for Sunrise,
Knopf, 1981, p. 428
|
Now it was Avril's turn to understand and he was frightened out of his wits.
"The Science of Luck," he said cautiously. "You watch, do you? That takes a lot of self-discipline." "Of course it does, but it's worth it. I watch everything, all the time. I'm one of the lucky ones. I've got the gift. I knew it when I was a kid, but I didn't grasp it." The murmur had intensified. "This last time, when I was alone so long, I got it right. I watch for every opportunity and I never do the soft thing. That's why I succeed." Avril was silent for a long time. "It is the fashion," he said at last. "You've been reading the Frenchmen, I suppose? Or no, no, perhaps you haven't. How absurd of me." "Don't blether." The voice, stripped of all its disguises, was harsh and naive. "You always blethered. You never said anything straight. What do you know about the Science of Luck? Go on, tell me. You're the only one who's understood at all. Have you ever heard of it before?" "Not under that name." "I don't suppose you have. That's my name for it. What's its real name?" "The Pursuit of Death." |
Anagrams
In memory of Danny Sugerman,
late manager of The Doors:

Danny Sugerman
Photo by
Frank Alan Bella, 2002
"Mr Mojo Risin" = "Jim Morrison."
"Audible Era" = "Baudelaire."
"Bad Rumi" = "Rimbaud."
From the dark jungle
as a tiger bright,
Form from the viewless Spirit
leaps to light.
— Rumi, "Reality and Appearance,"
translated by R. A. Nicholson
(See also Death and the Spirit
from Twelfth Night, 2005, the date
of Danny Sugerman's death.)





























