
Friday, November 7, 2025
Tuesday, May 6, 2025
Friday, February 7, 2020
Correspondences
The 15 2-subsets of a 6-set correspond to the 15 points of PG(3,2).
(Cullinane, 1986*)
The 35 3-subsets of a 7-set correspond to the 35 lines of PG(3,2).
(Conwell, 1910)
The 56 3-subsets of an 8-set correspond to the 56 spreads of PG(3,2).
(Seidel, 1970)
Each correspondence above may have been investigated earlier than
indicated by the above dates , which are the earliest I know of.
See also Correspondences in this journal.
* The above 1986 construction of PG(3,2) from a 6-set also appeared
in the work of other authors in 1994 and 2002 . . .
-
Gonzalez-Dorrego, Maria R. (Maria del Rosario),
(16,6) Configurations and Geometry of Kummer Surfaces in P3.
American Mathematical Society, Providence, RI, 1994. -
Dolgachev, Igor, and Keum, JongHae,
"Birational Automorphisms of Quartic Hessian Surfaces."
Trans. Amer. Math. Soc. 354 (2002), 3031-3057.
Addendum at 5:09 PM suggested by an obituary today for Stephen Joyce:
See as well the word correspondences in
"James Joyce and the Hermetic Tradition," by William York Tindall
(Journal of the History of Ideas , Jan. 1954).
Saturday, October 22, 2011
Araby
An excerpt from "Araby," a short story by James Joyce—
At nine o'clock I heard my uncle's latchkey in the hall door. I heard him talking to himself and heard the hallstand rocking when it had received the weight of his overcoat. I could interpret these signs. When he was midway through his dinner I asked him to give me the money to go to the bazaar. He had forgotten.
'The people are in bed and after their first sleep now,' he said.
I did not smile. My aunt said to him energetically:
'Can't you give him the money and let him go? You've kept him late enough as it is.'
My uncle said he was very sorry he had forgotten. He said he believed in the old saying: 'All work and no play makes Jack a dull boy.' He asked me where I was going and, when I told him a second time, he asked me did I know The Arab's Farewell to his Steed . When I left the kitchen he was about to recite the opening lines of the piece to my aunt.
For a rather viciously anti-Catholic commentary, see Wallace Gray's Notes.
Update of 9:26 AM Oct. 22—
This is the same Wallace Gray who was an authority on Joyce at Columbia University and died on December 21, 2001. I prefer a different Columbia University Joyce scholar— William York Tindall (scroll down after clicking), who died on Sept. 8, 1981.
See also, from midnight a year after the date of Gray's death, Nightmare Alley.
Tuesday, March 1, 2011
Women’s History Month
Susanne for Suzanne
From pages 7-8 of William York Tindall's Literary Symbolism (Columbia U. Press, 1955)—
... According to Cassirer's Essay
on Man, as we have seen, art is a symbolic form, parallel in respect
of this to religion or science. Each of these forms builds up a universe
that enables man to interpret and organize his experience; and each
is a discovery, because a creation, of reality. Although similar in func-
tion, the forms differ in the kind of reality built. Whereas science
builds it of facts, art builds it of feelings, intuitions of quality, and
the other distractions of our inner life— and in their degrees so do
myth and religion. What art, myth, and religion are, Cassirer con-
fesses, cannot be expressed by a logical definition.
Nevertheless, let us see what Clive Bell says about art. He calls
it "significant form," but what that is he is unable to say. Having
no quarrel with art as form, we may, however, question its signifi-
cance. By significant he cannot mean important in the sense of
having import, nor can he mean having the function of a sign;
for to him art, lacking reference to nature, is insignificant. Since,
however, he tells us that a work of art "expresses" the emotion of
its creator and "provokes" an emotion in its contemplator,he seems
to imply that his significant means expressive and provocative. The
emotion expressed and provoked is an "aesthetic emotion," contem-
plative, detached from all concerns of utility and from all reference.
Attempting to explain Bell's significant form, Roger Fry, equally
devoted to Whistler and art for art's sake, says that Flaubert's "ex-
pression of the idea" is as near as he can get to it, but neither Flaubert
nor Fry tells what is meant by idea. To "evoke" it, however, the artist
creates an "expressive design" or "symbolic form," by which the
spirit "communicates its most secret and indefinable impulses."
Susanne Langer,who occupies a place somewhere between Fry
and Cassirer, though nearer the latter, once said in a seminar that a
work of art is an "unassigned syntactical symbol." Since this defini-
End of page 7
tion does not appear in her latest book, she may have rejected it, but
it seems far more precise than Fry's attempt. By unassigned she prob-
ably intends insignificant in the sense of lacking sign value or fixed
reference; syntactical implies a form composed of parts in relation-
ship to one another; and a symbol, according to Feeling and Form,
is "any device whereby we are enabled to make an abstraction." Too
austere for my taste, this account of symbol seems to need elaboration,
which, to be sure, her book provides. For the present, however, taking
symbol to mean an outward device for presenting an inward state,
and taking unassigned and syntactical as I think she uses them, let
us tentatively admire her definition of the work of art.
Oh, the red leaf looks to the hard gray stone
To each other, they know what they mean
— Suzanne Vega, "Song in Red and Gray"
Sunday, July 12, 2009
Sunday July 12, 2009
In honor of
William York Tindall
(yesterday's entry):
A Literary Symbol
for Boyne Day
Click for animation.
Karr is Catholic.
Geneva is not.
Related material:
Calvinist Epiphany
for St. Peter's Day
Saturday, July 11, 2009
Saturday July 11, 2009
|
Related material:
The Literary Symbol
by William York Tindall
(Columbia University Press,
Epiphany 1955)


