"Chang noted that 'the story starts slowly, for
its complicated and rather far-fetched premises
require quite a bit of exposition, but rises to
an action-packed climax'.[1]"
1. Chang, Margaret A. "The King in the Window". School Library Journal . Retrieved February 26, 2024 –
via Chicago Public Library.
Some will prefer exposition more closely related to Chicago.
From a Log24 search for that word . . .
The above phrase "the intersection of storytelling and visual arts"
suggests a review . . .
Some exposition that does not go back thousands of years —
The above phrase "the intersection of storytelling and visual arts"
suggests a review . . .
Storytelling —
Visual arts —
"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."
"The yarns of seamen have a direct simplicity, the whole meaning of which
lies within the shell of a cracked nut. But Marlow was not typical
(if his propensity to spin yarns be excepted), and to him the meaning
of an episode was not inside like a kernel but outside, enveloping the tale
which brought it out only as a glow brings out a haze, in the likeness of
one of these misty halos that sometimes are made visible by
the spectral illumination of moonshine."
– Joseph Conrad in Heart of Darkness , quoted here in Cold Open (Saturday night, January 29, 2011)
Last night's touching dialogue on "Loki" between Victor Timely and
Miss MInutes suggests a review of a recent rather one-sided conversation
of my own —
Thus far, there has been no reply.
The "Loki" dialogue above took place in Chicago, a town repeatedly
described by novelist Willard Motley as a "blue-black panther."
Perhaps the email addressee has in mind the sage advice of
Ogden Nash . . .
It would seem that Moser is deeply confused about two different
meetings of Sontag with Mann — discussing Doctor Faustus
in 1947, and, later, as a U. of Chicago student, discussing The Magic Mountain with Mann in 1949 on the Feast of the
Holy Innocents — coincidentally, also the date of her dies natalis
(in the Catholic sense) in 2004.
Comments Off on Exploring Color Space . . . Continues.
CHICAGO–(BUSINESS WIRE) — It is with profound sadness
that Equity Residential (NYSE: EQR) mourns the death of its
Founder and Chairman, Samuel Zell, who died today at age 81.
Sam Zell, the Chicago real-estate magnate whose knack for buying up distressed assets turned him into a billionaire and earned him the nickname “grave dancer,” died on Thursday, his company said. He was 81.
Equity Residential, the company he founded decades ago, did not provide a cause of death but described Zell as an “iconic figure in real estate and throughout the corporate world.”
Among his wide-ranging portfolio of investments were distressed assets in real estate and in media, including an ultimately disastrous bet on the Tribune Company. Zell had a personal net worth of $5.9 billion, according to the Bloomberg Billionaires Index.
Zell had a penchant for scooping up cheap real estate and selling it later at a profit, a strategy he outlined in a 1978 article titled “The Grave Dancer,” which became his nickname in the industry.
“I was dancing on the skeletons of other people’s mistakes,” he wrote.
The city was a blue-black panther that slunk along beside them. The tall, skyscraper night-grass hemmed them in. The thousand neon animal eyes watched their going.
Page 67
The blue-black panther of a city watched their going. The un- blinking neon animal eyes watched their going. Thousands of neon signs lit their way. In an alley behind West Madison Street half an
Page 68
hour before, a bum, drunk, had frozen to death lying in the back doorway of a pawnshop. The blue-black panther crouched over him.
Page 70
First the creak of ice as an automobile goes by. Then the frown into your room of the red brick building across the street, its windows frosted over like cold, unfriendly eyes. Then a bum stumbling along trying to keep warm. Now a drunk, unevenly. And the wind like the howling voice of the blue-black panther, hunting, finding. And the clanging of impersonal streetcars. And each bar of neon, cold, dead. No message. The clown takes his bow and it is Christmas Day.
Page 79
The blue-black panther followed them, sniffing at their heels.
Page 106
Above them the blue-black panther lay on the roof of a tenement house, its feline chin on the cornice, its yellow-green eyes staring down onto the black night street of Maxwell. Its tail, wagging slowly back and forth, was like a lasso, a noose, sending little shivers of pebbles rolling loosely across the roof.
Page 154
Then he went down to the Shillelagh Club. Through the pane, in the crowded, noisy place, he saw her. She was sitting at a table near the back, alone. Her cigarette had fallen from her lips and rolled away from her on the table top. It had burned itself to a long gray ash. Her head hung loosely on her neck as if she was asleep. A half-empty glass of beer was in front of her. Please, Mother, please come out, he prayed to her. And he stood next door to the tavern, waiting, his small shoulders drawn in, his head down in shame. And often he walked to the window and stood on tiptoe. She was still there. In the same position. He waited. He would be late to school tomorrow. He waited, keeping the long vigil. He waited. Twelve years old. And the thousand neon-animal eyes stared at him savagely. He waited. The blue-black panther lashed out its tail, flicking its furry tip against his ankles. He waited.
Page 250
Alongside the blue-black patrol wagon the blue-black panther walks majestically.
Page 262
Outside the door the blue-black panther rubs its back like a house cat.
Page 409
Nick held the cigarette listlessly. The smoke curled up his wrist and arm like a snake. The blue-black panther licked his hand.
“Traditionally, there are two modalities, namely,
possibility and necessity. The basic modal operators
are usually written (square) for necessarily
and (diamond) for possibly.
Then, for example, P can be read as
‘it is possibly the case that P .'”
See also Intensional Semantics , lecture notes
by Kai von Fintel and Irene Heim, MIT,
Spring 2007 edition—
“The diamond ⋄ symbol for possibility is due to C.I. Lewis, first introduced in Lewis & Langford (1932), but he made no use of a symbol for the dual combination ¬⋄¬. The dual symbol □ was later devised by F.B. Fitch and first appeared in print in 1946 in a paper by his doctoral student Barcan (1946). See footnote 425 of Hughes & Cresswell (1968). Another notation one finds is L for necessity and M for possibility, the latter from the German möglich ‘possible.’”
Barcan, Ruth C.: 1946. “A Functional Calculus of First Order Based on Strict Implication.” Journal of Symbolic Logic, 11(1): 1–16. URL http://www.jstor.org/pss/2269159.
Hughes, G.E. & Cresswell, M.J.: 1968. An Introduction to Modal Logic. London: Methuen.
Lewis, Clarence Irving & Langford, Cooper Harold: 1932. Symbolic Logic. New York: Century.
"It's going to be accomplished in steps,
this establishment of the Talented
in the scheme of things."
— To Ride Pegasus ,
by Anne McCaffrey (Radcliffe '47)
"Having skipped me, the talent for math concentrated extravagantly
in one of my nieces, Amie Wilkinson, a professor at the University
of Chicago, and I figured she could teach me."
— Wilkinson, Alec. A Divine Language (p. 5).
Farrar, Straus and Giroux, 12 July 2022, Kindle Edition.
Career Moves: Compare and Contrast —
"Amie Wilkinson is an explorer. Instead of seeking uncharted land,
she’s after undiscovered mathematical worlds — complex systems
of motion that unfold in unexpected ways. As a professor at the
University of Chicago, she’s known for discovering unique types
of these 'dynamical systems' that had been only conjectured to exist.
Wilkinson’s career has proceeded in a dynamical way, too. She now
approaches her roles as a researcher, teacher and mentor very
differently than she did when she was starting out."
We are a full-service creative agency based in LA.
Graphic and web design is our business.
We attach great importance to ‘craftsmanship’,
but also to service and prompt delivery.
Our past partners – whether they be the government,
trend-setting companies or even private individuals –
have always been appreciative of our professional dynamism professional dynamism.
Our team is both close-knit and ultra-professional.
You want an original design, tailored to your needs?
Like "La La Land" — A talent so nice they named it twice!
"Denn um zu wiederholen, was ich anfangs sagte:
in dem Geheimnis der Einheit von Ich und Welt,
Sein und Geschehen, in der Durchschauung des
scheinbar Objectiven und Akzidentellen als
Veranstaltung der Seele glaube ich den innersten Kern
der analytischen Lehre zu erkennen." (GW IX 488)
An Einheit-Geheimnis that is perhaps* more closely related
to pure mathematics** —
"What is the nature of the original unity
that throws itself apart in this separation,
and in what sense are the separated ones
here as the essence of the abyss?
Here it cannot be a question of any kind of 'dialectic,'
but only of the essence of the ground
(that is, of truth) itself." [Tr. by Google]
" Welcher Art ist die ursprüngliche Einheit,
daß sie sich in diese Scheidung auseinanderwirft,
und in welchem Sinn sind die Geschiedenen
hier als Wesung der Ab-gründigkeit gerade einig?
Hier kann es sich nicht um irgend eine »Dialektik«
handeln, sondern nur um die Wesung des Grundes
(der Wahrheit also) selbst."
"To enlarge this contemplation unto all the mysteries and secrets,
accomodable unto this number, were inexcusable Pythagorisme,
yet cannot omit the ancient conceit of five surnamed the number
of justice; as justly dividing between the digits, and hanging in
the centre of Nine . . . ."
“His father, meanwhile, had retired and hoped
to open a liquor store in Brooklyn.
When bureaucratic hurdles made his goal seem unreachable,
an old friend, Anthony Paterno, who ran a grocery and bottling
business in Chicago, persuaded him to try opening a shop there,
where fewer obstacles existed.
Salvatore Terlato enlisted Anthony to help him, and together
they opened the shop, Leading Liquor Marts, in 1955.”
* For the theorem, see Wolfram Neutsch, Coordinates . (Published by de Gruyter, 1996. See pp. 761-766.)
Having defined (pp. 751-752) the Miracle Octad Generator (MOG)
as a 4×6 array to be used with Conway’s “hexacode,” Neutsch says . . .
“Apart from the three constructions of the Golay codes
discussed at length in this book (lexicographic and via
the MOG or the projective line), there are literally
dozens of alternatives. For lack of space, we have to
restrict our attention to a single example. It has been
discovered by Turyn and can be connected in a very
beautiful way with the Miracle Octad Generator….
To this end, we consider the natural splitting of the MOG into
three disjoint octads L, M, R (‘left’, ‘middle’, and ‘right’ octad)….”
— From page 761
“The theorem of Turyn”is on page 764 —
Comments Off on Turyn’s Octad Theorem: The Next Level*
See as well the Roman Polanski film "The Ninth Gate" and an obituary reporting a death on February Ninth.
"… while at the end I didn't yearn for spectacular special effects,
I did wish for spectacular information–something awesome,
not just a fade to white." — Roger Ebert, March 10, 2000
From the May Day 2016 link above, in "Sunday Appetizer from 1984" —
The 2015 German edition of Beautiful Mathematics , a 2011 Mathematical Association of America (MAA) book, was retitled Mathematische Appetithäppchen — Mathematical Appetizers . The German edition mentions the author's source, omitted in the original American edition, for his section 5.17, "A Group of Operations" (in German, 5.17, "Eine Gruppe von Operationen")—
That source was a document that has been on the Web since 2002. The document was submitted to the MAA in 1984 but was rejected. The German edition omits the document's title, and describes it as merely a source for "further information on this subject area."
"Step by step, Kepes follows the liberation of the plastic elements:
lines, planes, and colors, and the creation of a world of forms of our own.
The spatial conception interconnects the meaning fragments and
binds them together just as in another period perspective did when it used
a single station point for naturalistic representation."
Philosophy professor Agnes Callard on giving advice:
"It’s as though right before I give the advice,
I push a button that sucks all the informational
content out of what I’m about to say, and
I end up saying basically nothing at all."
(Ch. 2 in Henk Oosterling & Ewa Plonowska Ziarek (Eds.), Intermedialities: Philosophy, Arts, Politics , Lexington Books, October 14, 2010)
"The term 'spacing' ('espacement ') is absolutely central to Derrida's entire corpus, where it is indissociable from those of différance (characterized, in the text from 1968 bearing this name, as '[at once] spacing [and] temporizing' 1), writing (of which 'spacing' is said to be 'the fundamental property' 2) and deconstruction (with one of Derrida's last major texts, Le Toucher: Jean-Luc Nancy , specifying 'spacing ' to be 'the first word of any deconstruction' 3)."
1 Jacques Derrida, “La Différance,” in Marges – de la philosophie (Paris: Minuit, 1972), p. 14. Henceforth cited as D .
2 Jacques Derrida, “Freud and the Scene of Writing,” trans. A. Bass, in Writing and Difference (Chicago: University of Chicago Press, 1978), p. 217. Henceforth cited as FSW .
3 Jacques Derrida, Le Toucher, Jean-Luc Nancy (Paris: Galilée, 2000), p. 207.
. . . .
"… a particularly interesting point is made in this respect by the French philosopher, Michel Haar. After remarking that the force Derrida attributes to différance consists simply of the series of its effects, and is, for this reason, 'an indefinite process of substitutions or permutations,' Haar specifies that, for this process to be something other than a simple 'actualisation' lacking any real power of effectivity, it would need “a soubassement porteur ' – let’s say a 'conducting underlay' or 'conducting medium' which would not, however, be an absolute base, nor an 'origin' or 'cause.' If then, as Haar concludes, différance and spacing show themselves to belong to 'a pure Apollonism' 'haunted by the groundless ground,' which they lack and deprive themselves of,16 we can better understand both the threat posed by the 'figures' of space and the mother in the Timaeus and, as a result, Derrida’s insistent attempts to disqualify them. So great, it would seem, is the menace to différance that Derrida must, in a 'properly' apotropaic gesture, ward off these 'figures' of an archaic, chthonic, spatial matrix in any and all ways possible…."
16 Michel Haar, “Le jeu de Nietzsche dans Derrida,” Revue philosophique de la France et de l’Etranger 2 (1990): 207-227.
. . . .
… "The conclusion to be drawn from Democritus' conception of rhuthmos , as well as from Plato's conception of the chôra , is not, therefore, as Derrida would have it, that a differential field understood as an originary site of inscription would 'produce' the spatiality of space but, on the contrary, that 'differentiation in general' depends upon a certain 'spatial milieu' – what Haar would name a 'groundless ground' – revealed as such to be an 'in-between' more 'originary' than the play of differences it in-forms. As such, this conclusion obviously extends beyond Derrida's conception of 'spacing,' encompassing contemporary philosophy's continual privileging of temporization in its elaboration of a pre-ontological 'opening' – or, shall we say, 'in-between.'
For permutations and a possible "groundless ground," see
the eightfold cube and group actions both on a set of eight
building blocks arranged in a cube (a "conducting base") and
on the set of seven natural interstices(espacements ) between
the blocks. Such group actions provide an elementary picture of the isomorphism between the groups PSL(2,7) (acting on the
eight blocks) and GL(3,2) (acting on the seven interstices).
Leon Lederman, whose ingenious experiments with particle accelerators
deepened science’s understanding of the subatomic world, died
early Wednesday in Rexburg, Idaho. He was 96.
His wife, Ellen Carr Lederman, confirmed the death, at a care facility.
She and Dr. Lederman, who had long directed the Fermi National Accelerator
Laboratory outside Chicago, had retired to eastern Idaho.
"I have three children with my first wife, Florence Gordon.
Daughter Rena is an anthropologist, son Jesse is an investment banker
and daughter Rachel a lawyer."
"Vinnie Paul of the band Hellyeah performs in concert
during Day 2 of the Rock Allegiance Festival at
Talen Energy Stadium on Sunday, Sept. 18, 2016, in
Chester, Pa. (Photo by Owen Sweeney/Invision/AP)"
"Former SKID ROW singer Sebastian Bach played
a cover version of the PANTERA classic "Cemetery Gates" as a tribute to Vinnie Paul Abbott
during his June 24 concert at The Pyramid Cabaret in
Winnipeg, Manitoba, Canada."
To maintain. as I have done. that the permutability of contents is not arbitrary amounts to saying that, if the analysis is carried to a sufficiently deep level, behind diversity we will discover constancy. And, of course. the avowed constancy of form must not hide from us that functions are also permutable.
The structure of the folktale as it is illustrated by Propp presents a chronological succession of qualitatively distinct functions. each constituting an independent genre. One can wonder whether—as with dramatis personae and their attributes— Propp does not stop too soon, seeking the form too close to the level of empirical observation. Among the thirty-one functions that he distinguishes, several are reducible to the same function reappearing at different moments of the narrative but after undergoing one or a number of transformations . I have already suggested that this could be true of the false hero (a transformation of the villain), of assigning a difficult task (a transformation of the test), etc. (see p. 181 above), and that in this case the two parties constituting the fundamental tale would themselves be transformations of each other.
Nothing prevents pushing this reduction even further and analyzing each separate partie into a small number of recurrent functions, so that several of Propp’s functions would constitute groups of transformations of one and the same function. We could treat the “violation” as the reverse of the “prohibition” and the latter as a negative transformation of the “injunction.” The “departure” of the hero and his “return” would appear as the negative and positive expressions of the same disjunctive function. The “quest” of the hero (hero pursues someone or something) would become the opposite of “pursuit” (hero is pursued by something or someone), etc.
In Vol. I of Structural Anthropology , p. 209, I have shown that this analysis alone can account for the double aspect of time representation in all mythical systems: the narrative is both “in time” (it consists of a succession of events) and “beyond” (its value is permanent). With regard to Propp’s theories my analysis offers another advantage: I can reconcile much better than Propp himself his principle of a permanent order of wondertale elements with the fact that certain functions or groups of functions are shifted from one tale to the next (pp. 97-98. p. 108) If my view is accepted, the chronological succession will come to be absorbed into an atemporal matrix structure whose form is indeed constant. The shifting of functions is then no more than a mode of permutation (by vertical columns or fractions of columns).
These critical remarks are certainly valid for the method used by Propp and for his conclusions. However. it cannot be stressed enough that Propp envisioned them and in several places formulated with perfect clarity the solutions I have just suggested. Let us take up again from this viewpoint the two essential themes of our discussion: constancy of the content (in spite of its permutability) and permutability of functions (in spite of their constancy).
* Translated from a 1960 work in French. It appeared in English as Chapter VIII
of Structural Anthropology, Volume 2 (U. of Chicago Press, 1976). Chapter VIII
was originally published in Cahiers de l’Institut de Science Économique Appliquée ,
No. 9 (Series M, No. 7) (Paris: ISEA, March 1960).
"Drawing on Hegel, Nietzsche, Derrida,
and others, Mark Taylor extends—and
goes well beyond—pioneering efforts. . . . "
—G. Douglas Atkins, Philosophy and Literature
Update at noon on May 16 —
"Follow the Blood Arroyo to the place
where the snake lays its eggs."
"Though realism is excellent rhetoric, maybe the best,
in a purely technical or instrumental sense,
that cannot be an adequate reason to accept it
as a serious intellectual position. In its tropes of
Death and Furniture we see a rhetoric that refuses
to acknowledge its own existence; a politics that
can claim a critical-radical credibility only by
the selective use of its opponents' analytic tools;
and a theology which is deeply conservative and
seeks nothing less than the death of disruptive,
disturbing inquiry. While tedium, good taste, political
and moral sensibility will properly determine what
sorts of given realities are thought worthy of inquiry,
those considerations are no grounds for promoting
a realist ontology for social science, nor any other
science, nor for rejecting relativism. On the contrary, relativism is social science par excellence. . . ."
Loughborough University
— Edwards, D., Ashmore, M., and Potter, J. (1995),
"Death and furniture: The rhetoric, politics and theology
of bottom line arguments against relativism," History of the Human Sciences , 8, 25-49.
"CP was a consolation prize for physicists.
At least it seemed so until 1964."
"James W. Cronin, who shared the Nobel Prize in physics
for discovering a startling breakdown in what was assumed
to be the immutable symmetry of physical law, thereby
helping to explain the behavior and evolution of the universe
as a whole, died Aug. 25 in St. Paul, Minn. He was 84.
Dr. Cronin’s death was announced by the University of Chicago,
where he was a professor emeritus of physics as well as of
astronomy and astrophysics. No cause was reported."
"CP was a consolation prize for physicists.
At least it seemed so until 1964."
"James W. Cronin, who shared the Nobel Prize in physics
for discovering a startling breakdown in what was assumed
to be the immutable symmetry of physical law, thereby
helping to explain the behavior and evolution of the universe
as a whole, died Aug. 25 in St. Paul, Minn. He was 84.
Dr. Cronin’s death was announced by the University of Chicago,
where he was a professor emeritus of physics as well as of
astronomy and astrophysics. No cause was reported."
— Martin Weil in The Washington Post , August 28, 2016
This is FRESH AIR. I'm Terry Gross. My guest, composer John Kander, along with his longtime lyricist, the late Fred Ebb, wrote the songs for the Broadway shows "Cabaret," "Chicago," "Flora The Red Menace," "Kiss Of The Spider Woman" and "The Scottsboro Boys," as well as the songs for Martin Scorsese's 1977 film "New York, New York." The title song was a big hit for Frank Sinatra.
GROSS: …. John Kander, what impact did writing the songs for "Cabaret" have on you as a secular Jew because it's— you know, it's set in Germany as the Nazis are coming to power.
KANDER: I don't think I ever thought about that. I think I thought about it [as] a piece of theater. So…
Leo P. Kadanoff, a physicist who provided critical insights into the transformations of matter from one state to another, died last Monday in Chicago. He was 78.
The cause was respiratory failure, said the University of Chicago, where he was a professor from 1978 until his retirement in 2003.
A member of the National Academy of Sciences and a fellow of the American Academy of Arts and Sciences, he received the National Medal of Science in 1999.
“He won basically every prize except the Nobel Prize, and many people thought he should have won the Nobel,” said Emil Martinec, a physics professor at the University of Chicago who directs the university’s Kadanoff Center for Theoretical Physics.
Dr. Kadanoff’s biggest scientific contribution came in the 1960s as scientists were trying to understand phase transitions, when matter changes from one form to another.
A Cornell chemist, Benjamin Widom, had come up with mathematical relationships that described behavior associated with second-order phase transitions, which include the boiling of water to steam at a particular temperature and pressure. But Dr. Widom did not have an underlying physical explanation for why these relationships existed.
Willis Carto, a reclusive behind-the-scenes wizard of the far-right fringe of American politics who used lobbying and publishing to denigrate Jews and other minorities and galvanize the movement to deny the Holocaust, died last Monday at his home in Virginia. He was 89.
His death was announced by The American Free Press, a newspaper he helped found.
Mr. Carto raised funds to finance a right-wing military dictatorship in the United States, campaigned to persuade blacks to voluntarily return to Africa and, most influentially, started newsletters, a journal and conferences of academics and others to deny the scale, and even the existence, of the Holocaust.
The Anti-Defamation League called him “one of the most influential American anti-Semitic propagandists” and “the mastermind of the hate network.”
His associates included neo-Nazis, Christian vigilantes, John Birch Society members and Ku Klux Klansmen, and his extreme views alienated mainstream conservatives. After William F. Buckley sued Mr. Carto for libel and won in 1985, Mr. Buckley said Mr. Carto epitomized “the fever swamps of the crazed right.’’
However legendary,
The stone is still a stone,
though it had once resisted
The weight of Africa,
The hammer-blows of time
That wear to bits of rubble
The mountain and the pebble–
But not this coldest one.
Now, you intelligence
So late dredged up from dark
Upon whose smoky walls
Bison took fumbling form
Or flint was edged on flint–
Now, careful arriviste,
Delineate at will
Incisions in the ice.
Be serious, because
The stone may have contempt
For too-familiar hands,
And because all you do
Loses or gains by this:
Respect the adversary,
Meet it with tools refined,
And thereby set your price.
Be hard of heart, because
the stone must leave your hand.
Although you liberate
Pure and expensive fires
Fit to enamor Shebas,
Keep your desire apart.
Love only what you do,
And not what you have done.
Be proud, when you have set
The final spoke of flame
In that prismatic wheel,
And nothing’s left this day
Except to see the sun
Shine on the false and the true,
And know that Africa
will yield you more to do.
“…what he was trying to get across was not that he was the Soldier of a Power that was fighting across all of time to change history, but simply that we men were creatures with imaginations and it was our highest duty to try to tell what it was really like to live in other times and places and bodies. Once he said to me, ‘The growth of consciousness is everything… the seed of awareness sending its roots across space and time. But it can grow in so many ways, spinning its web from mind to mind like the spider or burrowing into the unconscious darkness like the snake. The biggest wars are the wars of thought.'”
Born in Los Angeles on June 29, 1920, Harryhausen was 13
when he saw "King Kong" during its run at Grauman's Chinese
Theater in Hollywood.
"I haven't been the same since," he is repeatedly quoted
as saying over the years.
"I came out of the theater awestruck," Harryhausen elaborated
in a 1999 interview with the Chicago Tribune. "It was such a
totally different, unusual film. The story line led you from the
mundane world into the most outrageous fantasy that's ever
been put on the screen."
… And the history of geometry — Desargues, Pascal, Brianchon and Galois in the light of complete n-points in space.
(Rewritten for clarity at about 10 AM ET April 29, with quote from Dowling added.
Updated with a reference to a Veblen and Young exercise (on p. 53) on April 30.)
Veblen and Young, Projective Geometry, Vol. I ,
Ginn and Company, 1910, page 39:
"The Desargues configuration. A very important configuration
is obtained by taking the plane section of a complete space five-point."
Each of figures 14 and 15 above has 15 points and 20 lines.
The Desargues configuration within each figure is denoted by
10 white points and 10 solid lines, with 3 points on each line and
3 lines on each point. Black points and dashed lines indicate the
complete space five-point and lines connecting it to the plane section
containing the Desargues configuration.
In a 1915 University of Chicago doctoral thesis, Archibald Henderson
used a complete space six -point to construct a configuration of
15 points and 20 lines in the context not of Desargues ' theorem, but
rather of Brianchon 's theorem and of the Pascal hexagram.
Henderson's 1915 configuration is, it turns out, isomorphic to that of
the 15 points and 20 lines in the configuration constructed via a
complete space five -point five years earlier by Veblen and Young.
(See, in Veblen and Young's 1910 Vol. I, exercise 11, page 53:
"A plane section of a 6-point in space can be considered as
3 triangles perspective in pairs from 3 collinear points with
corresponding sides meeting in 3 collinear points." This is the large Desargues configuration. See Classical Geometry in Light of
Galois Geometry.)
For this large Desargues configuration see April 19.
For Henderson's complete six –point, see The Six-Set (April 23).
That post ends with figures relating the large Desargues configuration
to theGalois geometry PG(3,2) that underlies the Curtis Miracle Octad Generatorand the large Mathieu group M24 —
Review: A page linked to here on Jan. 25—
psychoanalyst Heinz Kohut on the "nuclear self"—
The Psychoanalytic Electronic Publishing (PEP) website has a
paper on Kohut's concept— "Nuclear Conflict and the Nuclear Self"—
to which access is restricted:
Perhaps the late Aaron Swartz (below) now has freer access
to this and other restricted reading.
Last evening's post Moondance was suggested by a check
in this journal of the date October 10, 2012. That date was in turn suggested by the date of the above remarks.
Wer immer strebend sich bemüht,
Den können wir erlösen.
The novel’s prescience is chilling. Six years before the left-wing English
sociologist Michael Young published The Rise of the Meritocracy,
a dystopian satire that coined that now-ubiquitous final word,
Vonnegut was already there.
"One ring to bring them all…"
— J. R. R. Tolkien, Catholic author
Today in History, July 22, by The Associated Press—
"In 1934, bank robber John Dillinger was shot to death
by federal agents outside Chicago's Biograph Theater,
where he had just seen the Clark Gable movie
'Manhattan Melodrama.'"
Since the particle under discussion may turn out to be the God particle, it seems fitting to interpret WW and ZZ as part
of an imagined requiem High Mass.
"… I think a textile, like any work of art, holds a tremendous amount of information— technical, material, historical, social, philosophical— but beyond that, many works of art are very beautiful and they speak to us on many layers— our intellect, our heart, our emotions. I've been going to museums since I was a very small child, thinking about what I saw, and going back to discover new things, to see pieces that spoke very deeply to me, to look at them again, and to find more and more meaning relevant to me in different ways and at different times of my life. …
… I think I would suggest to people that first of all they just look. Linger by pieces they find intriguing and beautiful, and look deeply. Then, if something interests them, we have tried to put a little information around the galleries to give a bit of history, a bit of context, for each piece. But the most important is just to look very deeply."
According to Robert Thurman, the term "Nikāya Buddhism" was coined by Professor Masatoshi Nagatomi of Harvard University, as a way to avoid the usage of the term Hinayana.[12] "Nikaya Buddhism" is thus an attempt to find a more neutral way of referring to Buddhists who follow one of the early Buddhist schools, and their practice.
12. The Emptiness That is Compassion:
An Essay on Buddhist Ethics, Robert A. F. Thurman, 1980
[Religious Traditions , Vol. 4 No. 2, Oct.-Nov. 1981, pp. 11-34]
"The inception of critical thought, of a philosophic anthropology, is contained in the archaic Greek definition of man as a 'language-animal'…."
— George Steiner, Real Presences , U. of Chicago Press, 1991, p. 89 (See also Steiner on Language.)
"To some, Inception is a film about the creative process, specifically filmmaking, with Cobb as the director, Saito the producer, Ariadne the screenwriter, Eames the actor, and so on. To others the entire movie is a dream in that the film supports Carl Jungs' dream analysis; with all of the supporting characters acting as classical archetypes to Cobb's multiple personalities (which would also justify the lack of development in the supporting characters). The fact that Inception , in the few months since its initial release, has already given rise to so much discussion and critical thought is much more revelatory than whether or not Cobb is still dreaming."
March 28 review in the Times Literary Supplement of
George Steiner's new book The Poetry of Thought—
"If this new book opens with the concession that
language has neither the performative power of music
nor the elegant precision of mathematics,
it is language, for Steiner, that defines the human.
The survey accordingly begins from the ancient Greek
view of man as the 'language-animal.'"
A check of this phrase yields, in a 1969 Steiner essay,
"The Language Animal," a Greek form of the phrase—
In short, the least inadequate definition we can arrive at
of the genus homo , the definition that fully distinguishes
him from all neighbouring life-forms, is this:
man is a zoon phonanta , a language-animal.
— p. 10 in Encounter , August 1969 (essay on pp. 7-23)
After introducing "language-animal" as a translation of "zoon phonanta " in 1969,
Steiner in later writing went on to attribute this phrase to the ancient Greeks.
"The inception of critical thought, of a philosophic anthropology,
is contained in the archaic Greek definition of man as a
'language-animal'…."
— George Steiner, Real Presences , U. of Chicago Press, 1991, p. 89
"… the 'language-animal' we have been since ancient Greece
so designated us…. "
— George Steiner, Grammars of Creation , Yale U. Press, 2002, p. 265
Despite this, there seems to be no evidence for use of this phrase
by the ancient Greeks.
A Google search today for zoon phonanta (ζῷον φωνᾶντα)—
There are also no results from searches for the similar phrases
"ζωον φωναντα," "ζωον φωνᾶντα," and "ζῷον φωναντα."
Meanwhile, back at the Institute
for Advanced Study:
May 25, 4:40 PM —
Research Seminar
(Simonyi Hall Seminar Room) —
Pirita Paajanen,
The Hebrew University of Jerusalem: Zeta functions of
finitely generated infinite groups
Some background cited by Paajanen:
M.P.F. du Sautoy,
“Zeta functions of groups:
The quest for order
versus the flight from ennui,” Groups St Andrews 2001in Oxford ,
Volume 1, CUP 2003.
“Mathematics is about the search for patterns, to see order where others see chaos. We are very lucky
to find ourselves studying a subject which is neither so rigid
that the patterns are easy, yet not too complicated
lest our brains fail to master its complexities.
John Cawelti sums up this interplay perfectly in a book*
not about mathematics but about mystery and romance:
‘if we seek order and security, the result is likely to be
boredom and sameness. But rejecting order for the sake
of change and novelty brings danger and uncertainty…
the history of culture can be interpreted as a dynamic
tension between these two basic impulses…
between the quest for order and the flight from ennui.”’
Here du Sautoy paints mathematicians as seekers of order,
apparently not realizing that the author he approvingly quotes
states that seekers of order face the danger of boredom.
Another danger to seekers
of order is, of course, seeing
order where there is none.
(see Nov. 10) is this text, by writer W.P. Norton
(not to be confused with the publishing firm W.W. Norton).
For the text in context, see a screenshot of the Norton
weblog (which was very slow to load this morning).
The Blogspot loading logo that did appear at Norton's weblog suggests the following image—
LOGOS
The logo on the right is that of The New York Times 's
philosophy weblog "The Stone."
Philipson, incidentally, reportedly died on the morning of November 3.
See the remarks of Tom Wolfe quoted here on that date.
97. Thought is surrounded by a halo.
—Its essence, logic, presents an order,
in fact the a priori order of the world: that is, the order of possibilities * ,
which must be common to both world and thought.
But this order, it seems, must be utterly simple . It is prior to all experience,
must run through all experience;
no empirical cloudiness or uncertainty can be allowed to affect it
——It must rather be of the purest crystal.
But this crystal does not appear as an abstraction;
but as something concrete, indeed, as the most concrete,
as it were the hardest thing there is
(Tractatus Logico-Philosophicus No. 5.5563).
All propositions of our colloquial language
are actually, just as they are, logically completely in order.
That simple thing which we ought to give here is not
a model of the truth but the complete truth itself.
(Our problems are not abstract but perhaps
the most concrete that there are.)
97. Das Denken ist mit einem Nimbus umgeben.
—Sein Wesen, die Logik, stellt eine Ordnung dar,
und zwar die Ordnung a priori der Welt,
d.i. die Ordnung der Möglichkeiten ,
die Welt und Denken gemeinsam sein muß.
Diese Ordnung aber, scheint es, muß höchst einfach sein. Sie ist vor aller Erfahrung;
muß sich durch die ganze Erfahrung hindurchziehen;
ihr selbst darf keine erfahrungsmäßige Trübe oder Unsicherheit anhaften.
——Sie muß vielmehr vom reinsten Kristall sein.
Dieser Kristall aber erscheint nicht als eine Abstraktion;
sondern als etwas Konkretes, ja als das Konkreteste,
gleichsam Härteste . (Log. Phil. Abh. No. 5.5563.)
“Traditionally, there are two modalities, namely, possibility and necessity.
The basic modal operators are usually written (square) for necessarily
and (diamond) for possibly. Then, for example, P can be read as
‘it is possibly the case that P .'”
See also Intensional Semantics , lecture notes by Kai von Fintel and Irene Heim, MIT, Spring 2007 edition—
“The diamond ⋄ symbol for possibility is due to C.I. Lewis, first introduced in Lewis & Langford (1932), but he made no use of a symbol for the dual combination ¬⋄¬. The dual symbol □ was later devised by F.B. Fitch and first appeared in print in 1946 in a paper by his doctoral student Barcan (1946). See footnote 425 of Hughes & Cresswell (1968). Another notation one finds is L for necessity and M for possibility, the latter from the German möglich ‘possible.’”
Barcan, Ruth C.: 1946. “A Functional Calculus of First Order Based on Strict Implication.” Journal of Symbolic Logic, 11(1): 1–16. URL http://www.jstor.org/pss/2269159.
Hughes, G.E. & Cresswell, M.J.: 1968. An Introduction to Modal Logic. London: Methuen.
Lewis, Clarence Irving & Langford, Cooper Harold: 1932. Symbolic Logic. New York: Century.
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:
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!"
"He ended the night with a poem, which read,
'I stand before you oh captain oh captain
to most humbly praise you for this radical ripple
this single cast stone….'"
“The Word became flesh”. The light of this truth is revealed to those who receive it in faith, for it is a mystery of love. Only those who are open to love are enveloped in the light of Christmas. So it was on that night in Bethlehem, and so it is today. The Incarnation of the Son of God is an event which occurred within history, while at the same time transcending history. In the night of the world a new light was kindled, one which lets itself be seen by the simple eyes of faith, by the meek and humble hearts of those who await the Saviour. If the truth were a mere mathematical formula, in some sense it would impose itself by its own power. But if Truth is Love, it calls for faith, for the “yes” of our hearts.
And what do our hearts, in effect, seek, if not a Truth which is also Love? Children seek it with their questions, so disarming and stimulating; young people seek it in their eagerness to discover the deepest meaning of their life; adults seek it in order to guide and sustain their commitments in the family and the workplace; the elderly seek it in order to grant completion to their earthly existence.
The above excerpt from the Pope's speech may be regarded as part of a continuing commentary on the following remark—
There is a pleasantly discursive treatment of Pontius Pilate's unanswered question "What is truth?" — H. S. M. Coxeter, 1987
"THE DIAMOND THEOREM AND QUILT PATTERNS
Victoria Blumen, Mathematics, Junior, Benedictine University
Tim Comar, Benedictine University
Mathematics
Secondary Source Research
Let D be a 4 by 4 block quilt shape, where each of the 16 square blocks is consists of [sic ] two triangles, one of which is colored red and the other of which is colored blue. Let G: D -> D_g be a mapping of D that interchanges a pair of columns, rows, or quadrants of D. The diamond theorem states that G(D) = D_g has either ordinary or color-interchange symmetry. In this talk, we will prove the diamond theorem and explore symmetries of quilt patterns of the form G(D)."
Exercise— Correct the above statement of the theorem.
Background— This is from a Google search result at about 10:55 PM ET Feb. 25, 2011—
[DOC] THE DIAMOND THEOREM AND QUILT PATTERNS – acca.elmhurst.edu
File Format: Microsoft Word – 14 hours ago –
Let G: D -> D_g be a mapping of D that interchanges a pair of columns, rows, or quadrants of D. The diamond theorem states that G(D) = D_g has either …
acca.elmhurst.edu/…/victoria_blumen9607_
THE%20DIAMOND%20THEOREM%20AND%20QUILT%20PATTERNS…
Two characters named “Black” and “White” debate religion and the afterlife in the Cormac McCarthy play “The Sunset Limited.”
The play opened in Chicago in a Steppenwolf Theatre production on May 18, 2006.
A New York Times theater review from All Hallows’ Eve, 2006—
“…there is an abstract power in the mysteriousness of Mr. McCarthy’s
vision’s allowing for a multitude of interpretations.” –Jason Zinoman
The current New Yorker (Feb.14) has a note
by Lillian Ross on the same play— “Two-Man Show: O Death”
Some purely visual black-and-white variations that are less dramatic, but have their own “abstract power”—
A book cover pictured here last November to contrast with
“the sound and fury of the rarified Manhattan art world”—
and a web page with multiple interpretations of the book cover’s pattern—
A synchronicity— The first version of “Symmetry Framed” was done on May 18, 2006— the day “The Sunset Limited” opened.
Another synchronicity relates the mathematics underlying
such patterns to the Halloween date of the above review.
See “To Announce a Faith,” from October 31, 2006.
Quilts made by Amish women in Pennsylvania,
such as this traditional center diamond,
reveal the makers’ keen sense of color and design.
Household handicrafts and heirlooms made by American women seen as precursors to modern art is one underlying thesis of “Amish Abstractions: Quilts from the Collection of Faith and Stephen Brown,” a provocative exhibit on view at the de Young Museum through June.
Curated by Jill D’Alessandro of the Fine Arts Museums of San Francisco, the show features about 50 full-size and crib quilts made between 1880 and 1940 in Pennsylvania and the Midwest during what experts consider the apex of Amish quilt-making production.
Faith and Stephen Brown, Bay Area residents who began collecting quilts in the 1970s after seeing one in a shop window in Chicago and being bowled over by its bold design, say their continued passion for the quilts as art is in part because they’re so reminiscent of paintings by modern masters like Mark Rothko, Josef Albers, Sol LeWitt and Ellsworth Kelly — but the fabric masterpieces came first.
“A happy visual coincidence” is how the Browns and D’Alessandro define the connection, pointing to the brilliance in color theory, sophisticated palettes and complex geometry that characterize both the quilts and paintings.
“There’s an insane symmetry to these quilts,” says D’Alessandro….
"All things began in order, so shall they end, and so shall they begin again; according to the ordainer of order and mystical Mathematicks of the City of Heaven."
Arnold's own mystical mathematics may be found in his paper
"Polymathematics: Is Mathematics a Single Science or a Set of Arts?"
Page 13–
"In mathematics we always encounter mysterious analogies, and our trinities [page 8] represent only a small part of these miracles."
Also from that paper—
Page 5, footnote 2–
"The Russian way to formulate problems is to mention the first nontrivial case (in a way that no one would be able to simplify it). The French way is to formulate it in the most general form making impossible any further generalization."
Arnold died in Paris on June 3. A farewell gathering was held there on June 8—
"Celles et ceux qui le souhaitent pourront donner un dernier adieu à Vladimir Igorevitch
mardi 8 juin, de 14h a 16h, chambre mortuaire de l'hopital Saint Antoine…."
"a 'non-existent myth' of a battle between
goddesses of the sun and the moon
for a mysterious blue diamond
that has the power to make
mortals immortal and vice versa"
Wheel in Webster’s Revised Unabridged Dictionary, 1913
(f) Poetry
The burden or refrain of a song.
⇒ “This meaning has a low degree of authority, but is supposed from the context in the few cases where the word is found.” Nares.
You must sing a-down a-down, An you call him a-down-a. O, how the wheel becomes it! Shak.
“In one or other of G. F. H. Shadbold’s two published notebooks, Beyond Narcissus and Reticences of Thersites, a short entry appears as to the likelihood of Ophelia’s enigmatic cry: ‘Oh, how the wheel becomes it!’ referring to the chorus or burden ‘a-down, a-down’ in the ballad quoted by her a moment before, the aptness she sees in the refrain.”
— First words of Anthony Powell’s novel “O, How the Wheel Becomes It!” (See Library Thing.)
"There are at least two well known examples that James employs to illustrate what is meant by this formulation of pragmatism. Returning here to pragmatic method, the second of these, drawn from the Italian thinker Giovanni Papini, is meant to illustrate how this method is compatible with a number of varying results, that is, how this method is one of pluralism.26 With a remarkable illustration of the meaning of pragmatism, we are asked to understand James's pragmatic method as being like a hotel corridor, one whose doors lead to numerous rooms in which there are thinkers involved with numerous types of projects and pursuits. There could, for example, be a metaphysical idealist in one room and a committed anti-metaphysical thinker in another, both in the same hotel. In any case, James holds that his pragmatic method remains neutral with regard to the various types of thought taking place within the rooms.27
The hotel represents a great deal of the world of thinking.28 The various rooms represent individual philosophies. Of course, the corridor represents pragmatism, which is the connection between these, the philosophical method of choice and action. We might also say that pragmatism affords us our one chance at escaping the isolation of the individual rooms. This corridor method allows one to move from one concept or theory to another concept or theory. It does so insofar as it offers a concrete manner in which to comprehend, enter, or 'penetrate' a given theory, and in which to step outside of the theory so to test and contrast it with other theories. That is, to enter or leave their various rooms, the varying occupants must employ the pragmatic method.
Accordingly, we see that, for James, pragmatism is not a set doctrine. Again, it is a method, one that allows for a great many differing views to co-exist under the same umbrella, for pragmatism '…has no dogmas, and no doctrines save its method.'"29
26The Writings of William James: A Comprehensive Edition, ed. John J. McDermott (Chicago: The University of Chicago Press, 1977), p. 380.
27 Following Papini, James says that pragmatic method "Lies in the midst of our theories, like a corridor in a hotel. Innumerable chambers open out of it. In one you may find a man writing an atheistic volume; in the next some one on his knees praying for faith and strength; in a third a chemist investigating a body's properties. In a fourth a system of idealistic metaphysics is being excogitated; in a fifth the impossibility of metaphysics is being shown. But they all own the corridor, and all must pass through it if they want a practicable way of getting into or out of their respective rooms." Ibid.
28 Not included would be dogmatists such as dictators and/or theocrats, for they are fundamentally closed to inquiry.
Henry Louis Gates Jr. said yesterday that Harvard University suggested he move after receiving numerous death threats since he accused a white officer of …
…Gates spoke at a book signing on Martha’s Vineyard. He also said that he has received death and bomb threats after the incident at his Cambridge home. …
The Associated Press – Denise Lavoie – 17 hours ago
Gates said he received numerous threats after the incident, including an e-mail that read, “You should die, you’re a racist.” Gates has changed his e-mail …
As a result of death threats and bomb threats, he hasn’t returned to his Cambridge home, leased from Harvard University. The university has encouraged him …
Gates, who spoke at a book signing on Martha’s Vineyard Sunday, says there also have been some serious moments. He says he received death and bomb threats…
Lee’s essay might please another mathematician whose name appears in the film. The clever but heartless Professor Hilbert is opposed, indirectly, in “Stranger than Fiction” by a Harvard Law dropout, Ana, who dispenses eucharistic blessings, in the form of cookies, at her Chicago bakery/café– filmed at a real Chicago location, Catedral Café. Her last name is Pascal.
The current (Feb. 2009) Notices of the American Mathematical Society has a written version of Freeman Dyson’s 2008 Einstein Lecture, which was to have been given in October but had to be canceled. Dyson paraphrases a mathematician on Carl Jung’s theory of archetypes:
“… we do not need to accept Jung’s theory as true in order to find it illuminating.”
The same is true of Jung’s remarks on synchronicity.
This question is deceptive in its simplicity. A frame is, of course, 'a basic skeletal structure designed to give shape or support' (American Heritage Dictionary)…. when the frame is in question, it is difficult to determine what is inside and what is outside. Rather than being on one side or the other, the frame is neither inside nor outside. Where, then, Derrida queries, 'does the frame take place….'"
* P. 61:
"… the frame forms the suture of structure. A suture is 'a seamless [sic**] joint or line of articulation,' which, while joining two surfaces, leaves the trace of their separation."
** A dictionary says "a seamlike joint or line of articulation," with no mention of "trace," a term from Derrida's jargon.
“She traces the history of space beginning with the cosmology of Dante. Her journey continues through the historical foundations of celestial space, relativistic space, hyperspace, and, finally, cyberspace.” –Joe J. Accardi, Northeastern Illinois Univ. Lib., Chicago, in Library Journal, 1999 (quoted at Amazon.com)
"While feasts of Saint Nicholas are not observed nationally, cities with strong German influences like Milwaukee, Cincinnati, and St. Louis celebrate St. Nick's Day on a scale similar to the German custom." —Wikipedia
"The Python urllib module implements a fairly high-level abstraction for making any web object with a URL act like a Python file: i.e., you open it, and get back an object…."
For more pictures and discussion
of the object fetched by Python,
see AntiChristmas 2007.
For a larger and more sophisticated
relative of that object,
see Solomon's Cube and
the related three presents
from the German link's target:
"moments of clarity [cf. related essay (pdf)] that seem, when you look at all of them together late in the day, to disclose our life’s otherwise hidden pattern, meaning, and flow.
'Not far downstream was a dry channel where the river had run once, and part of the way to come to know a thing is through its death. But years ago I had known the river when it flowed through this now dry channel, so I could enliven its stony remains with the waters of memory. In death it had its pattern, and we can only hope for as much.'"
“… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato’s Socrates was ‘the God’ and the guarantor of unruffled beauty as ‘the truly divine’ is absolutely no longer sufficient.”
“The lapis manalis (Latin: ‘stone of the Manes‘) was a name given to two sacred stones used in the Roman religion. One covered a gate to Hades, abode of the dead….
One such stone covered the mundusCereris, a pit thought to contain an entrance to the underworld….
The… mundus was located in the Comitium, on the Palatine Hill. This stone was ceremonially opened three times a year, during which spirits of the blessed dead (the Manes) were able to commune with the living. The three days upon which the mundus was opened were August 24, October 5, and November 8. Fruits of the harvest were offered to the dead at this time.”
In the above screenshot of New York Times obituaries on the date of Brewster Beach's death, Tim Russert seems to be looking at the obituary of Air Force Academy chapel architect Walter Netsch. This suggests another chapel, more closely related to my own experience, in Cuernavaca, Mexico. Some background… Walter Netsch in Oral History (pdf, 467 pp.):
"I also had a book that inspired me– this is 1947– called Communitas by Percival and Paul Goodman. Percival Goodman was the architect, and Paul Goodman was the writer and leftist. And this came out of the University of Chicago– part of the leftist bit of the University of Chicago…. I had sort of in the back of my mind, Communitas appeared from my subconscious of the new town out of town, and there were other people who knew of it…."
A more impersonal approach to my own drunkard's walk (Cuernavaca, 1962,
after reading the above words): Cognitive Blending and the Two Cultures
An approach from the culture (more precisely, the alternate religion) of Scientism– The Drunkard's Walk: How Randomness Rules Our Lives— is sketched
in Today's Sermon: The Holy Trinity vs. The New York Times (Sunday, June 8, 2008).
The Times illustrated its review of The Drunkard's Walk with facetious drawings
by Jessica Hagy, who uses Venn diagrams to make cynical jokes.
From AP “Obituaries in the News”– Filed with The New York Times at 11:16 p.m. ET July 24, 2007–
George Tabori
“BERLIN (AP) — Hungarian-born playwright and director George Tabori, a legend in Germany’s postwar theater world whose avant-garde works confronted anti-Semitism, died Monday [July 23, 2007]. He was 93.
Tabori, who as recently as three years ago dreamed of returning to stage to play the title role in Shakespeare’s ‘King Lear,’ died in his apartment near the theater, the Berliner Ensemble said Tuesday, noting that friends and family had accompanied him through his final days. No cause of death was given.
Born into a Jewish family in Budapest on May 24, 1914, Tabori fled in 1936 to London, where he started working for the British Broadcasting Corp., and became a British citizen. His father, and other members of his family, were killed at Auschwitz.
Tabori moved to Hollywood in the 1950s, where he worked as a scriptwriter, most notably co-writing the script for Alfred Hitchcock’s 1953 film, ‘I Confess.’
He moved to Germany in the 1970s and launched a theater career that spanned from acting to directing to writing. He used sharp wit and humor in his plays to examine the relationship between Germany and the Jews, as well as attack anti-Semitism.
Among his best-known works are ‘Mein Kampf,’ set in the Viennese hostel where Adolf Hitler lived from 1910-1913, and the ‘Goldberg Variations,’ both dark farces that poke fun at the Nazis.”
From Log24 on the date of the Prague production of the Tabori “Goldberg Variations,” an illustration in honor of Sir Thomas Browne, who was born, and died, on that date:
“Although it may not at first be obvious, the substitution for real religions of a religion drained of particulars is of a piece with the desire to exorcise postmodernism.”
In one of the definitive works of conservatism in the twentieth century, Richard Weaver designates the rise of nominalism as a critical turn in the emergence of the intellectual and cultural disintegration associated with liberalism, which it is the business of a reviving conservatism to contest: “The defeat of logical realism in the great medieval debate was the crucial event in the history of Western culture; from this flowed those acts which issue now in modern decadence.” It is nominalism that provides the intellectual foundation– if a paradox may be hazarded– for the attack by Fish and numerous others (their name is Legion) on the very idea of intellectual foundations:
It was William of Occam who propounded the fateful doctrine of nominalism, which denies that universals have real existence. His triumph tended to leave universal terms mere names serving our convenience. The issue ultimately involved is whether there is a source of truth higher than, and independent of, man; and the answer to the question is decisive for one’s view of the nature and destiny of humankind. The practical result of nominalist philosophy is to banish the reality which is perceived by the intellect and to posit as reality that which is perceived by the senses. (4)
On the words “symbology” and “communitas” (the former used, notably, as the name of a fictional field at Harvard in the novel The Da Vinci Code)–
Symbology:
“Also known as ‘processual symbolic analysis,’ this concept was developed by Victor Turner in the mid-1970s to refer to the use of symbols within cultural contexts, in particular ritual. In anthropology, symbology originated as part of Victor Turner’s concept of ‘comparative symbology.’ Turner (1920-1983) was professor of Anthropology at Cornell University, the University of Chicago, and finally he was Professor of Anthropology and Religion at the University of Virginia.” —Wikipedia
“‘The positional meaning of a symbol derives from its relationship to other symbols in a totality, a Gestalt, whose elements acquire their significance from the system as a whole’ (Turner, 1967:51). Turner considered himself a comparative symbologist, which suggests he valued his contributions to the study of ritual symbols. It is in the closely related study of ritual processes that he had the most impact.
The most important contribution Turner made to the field of anthropology is his work on liminality and communitas. Believing the liminal stage to be of ‘crucial importance’ in the ritual process, Turner explored the idea of liminality more seriously than other anthropologists of his day.
As noted earlier Turner elaborated on van Gennep’s concept of liminality in rites of passage. Liminality is a state of being in between phases. In a rite of passage the individual in the liminal phase is neither a member of the group she previously belonged to nor is she a member of the group she will belong to upon the completion of the rite. The most obvious example is the teenager who is neither an adult nor a child. ‘Liminal entities are neither here nor there; they are betwixt and between the positions assigned and arrayed by law, custom, convention, and ceremonial’ (Turner, 1969:95). Turner extended the liminal concept to modern societies in his study of liminoid phenomena in western society. He pointed out the similarities between the ‘leisure genres of art and entertainment in complex industrial societies and the rituals and myths of archaic, tribal and early agrarian cultures’ (1977:43).
Closely associated to liminality is communitas which describes a society during a liminal period that is ‘unstructured or rudimentarily structured [with] a relatively undifferentiated comitatus, community, or even communion of equal individuals who submit together to the general authority of the ritual elders’ (Turner, 1969:96).
The notion of communitas is enhanced by Turner’s concept of anti-structure. In the following passage Turner clarifies the ideas of liminal, communitas and anti-structure:
I have used the term ‘anti-structure,’… to describe both liminality and what I have called ‘communitas.’ I meant by it not a structural reversal… but the liberation of human capacities of cognition, affect, volition, creativity, etc., from the normative constraints incumbent upon occupying a sequence of social statuses (1982:44).
It is the potential of an anti-structured liminal person or liminal society (i.e., communitas) that makes Turner’s ideas so engaging. People or societies in a liminal phase are a ‘kind of institutional capsule or pocket which contains the germ of future social developments, of societal change’ (Turner, 1982:45).
Turner’s ideas on liminality and communitas have provided scholars with language to describe the state in which societal change takes place.”
Turner, V. (1967). The forest of symbols: Aspects of Ndembu ritual. Ithaca, NY: Cornell University Press.
Turner, V. (1969). The ritual process: structure and anti-structure. Chicago: Aldine Publishing Co.
Turner, V. (1977). Variations of the theme of liminality. In Secular ritual. Ed. S. Moore & B. Myerhoff. Assen: Van Gorcum, 36-52.
Turner, V. (1982). From ritual to theater: The human seriousness of play. New York: PAJ Publications.
"At his final Paris campaign rally… Mr. Sarkozy declared himself the candidate of the 'silent majority,' tired of a 'moral crisis in France not seen since the time of Joan of Arc.'
'I want to turn the page on May 1968,' he said of the student protests cum social revolution that rocked France almost four decades ago.
'The heirs of May '68 have imposed the idea that everything has the same worth, that there is no difference between good and evil, no difference between the true and the false, between the beautiful and the ugly and that the victim counts for less than the delinquent.'
Denouncing the eradication of 'values and hierarchy,' Mr. Sarkozy accused the Left of being the true heirs and perpetuators of the ideology of 1968."
From the translator's introduction to Dissemination, by Jacques Derrida, translated by Barbara Johnson, University of Chicago Press, 1981, page xxxi —
"Both Numbers and 'Dissemination' are attempts to enact rather than simply state the theoretical upheavals produced in the course of a radical reevaluation of the nature and function of writing undertaken by Derrida, Sollers, Roland Barthes, Julia Kristeva and other contributors to the journal Tel Quel in the late 1960s. Ideological and political as well as literary and critical, the Tel Quel program attempted to push to their utmost limits the theoretical revolutions wrought by Marx, Freud, Nietzsche, Mallarme, Levi-Strauss, Saussure, and Heidegger."
This is the same Barbara Johnson who has served as the Frederic Wertham Professor of Law and Psychiatry in Society at Harvard.
Johnson has attacked "the very essence of Logic"–
"… the logic of binary opposition, the principle of non-contradiction, often thought of as the very essence of Logic as such….
Now, my understanding of what is most radical in deconstruction is precisely that it questions this basic logic of binary opposition….
Instead of a simple 'either/or' structure, deconstruction attempts to elaborate a discourse that says neither 'either/or', nor 'both/and' nor even 'neither/nor', while at the same time not totally abandoning these logics either."
— "Nothing Fails Like Success," SCE Reports 8, 1980
Such contempt for logic has resulted, for instance, in the following passage, quoted approvingly on page 342 of Johnson's translation of Dissemination,from Philippe Sollers's Nombres (1966):
"The minimum number of rows– lines or columns– that contain all the zeros in a matrix is equal to the maximum number of zeros located in any individual line or column."
For a correction of Sollers's Johnson's damned nonsense, click here.
Update of May 29, 2014:
The error, as noted above, was not Sollers's, but Johnson's.
See also the post of May 29, 2014 titled 'Lost in Translation.'
David Lieberman, Laura Petrecca and Gary Strauss in USA Today:
“So amid all the uproar over Imus’ remarks and the national discussion over race relations that they ignited, why wasn’t he fired?
Stringer and others think that has less to do with relations between blacks and whites than it does with another color.
‘The color is green– if we can tolerate as a society what’s just taken place,’ she said. ‘I don’t know how anyone could have heard this and not been offended.’
As one of the country’s most popular radio talk show hosts, Imus is the centerpiece of a multimillion-dollar business that would collapse without him.
To get a sense of its size: Advertisers spent $11.3 million last year on his show at just one station, New York’s WFAN, according to Nielsen. That accounted for nearly 24% of all the station’s ad sales.
“Essence Communications Inc. (ECI) was founded in 1968. In October 2000, ECI signed an agreement with Time Inc., a subsidiary of Time Warner Inc., to form a joint venture known as Essence Communications Partners. ESSENCE was the majority owner of the venture. In March 2005, Time Inc. acquired the portion it did not already own. The company’s name changed back to Essence Communications Inc. The ECI corporate headquarters are in New York City, with offices in Chicago, Los Angeles, Atlanta and Detroit.
ESSENCE magazine
During the past 36 years, the company has grown into a vital business of diverse media properties and communications systems that include ESSENCE, its flagship magazine launched in 1970. Its success is linked to its unique relationship with the readers of ESSENCE magazine and the strong alliances it has forged with America’s leading corporations and financial institutions.”
The Triangle Shirtwaist Factory Fire in New York City on March 25, 1911, was the largest industrial disaster in the history of the city of New York, causing the death of 146 garment workers who either died in the fire or jumped to their deaths. Propaganda, March 1977:
“On March 8, 1908, after the death of 128 women trapped in a fire at the Triangle Shirtwaist Factory in New York City, 15,000 women workers from the garment and textile industry marched echoing the demands of their sisters 50 years earlier…” Propaganda, March 2006:
“First of all, on March 8th, 1857, a large number of factory workers in the United States took to the streets to demand their economic and political rights. The owners called the police who arrived immediately and opened fire, engaging in blind repression… Later on, in 1908, the same date of March 8th was once again a memorable date of struggle. On this day, capitalist bosses in Chicago set fire to a textile factory where over a thousand women worked. A very large number was terribly burnt. 120 died!” Propaganda disguised as news, March 2007:
From today’s top story in 24 HoursTM, a commuter daily in Vancouver published by Sun Media Corporation: Fight still on for equality By Robyn Stubbs and Carly Krug
“International Women’s Day commemorates a march by female garment workers protesting low wages, 12-hour workdays and bad working conditions in New York City on March 8, 1857.
Then in 1908, after 128 women were trapped and killed in a fire at a New York City garment and textile factory, 15,000 women workers again took their protests to the street.”
“What does this have to do with why we’re here?” “I saw it in a chess book Mordecai showed me. The most ancient chess service ever discovered was found at the palace of King Minos on Crete– the place where the famous Labyrinth was built, named after this sacred axe. The chess service dates to 2000 B.C. It was made of gold and silver and jewels…. And in the center was carved a labrys.” … “But I thought chess wasn’t even invented until six or seven hundred A.D.,” I added. “They always say it came from Persia or India. How could this Minoan chess service be so old?” “Mordecai’s written a lot himself on the history of chess,” said Lily…. “He thinks that chess set in Crete was designed by the same guy who built the Labyrinth– the sculptor Daedalus….” Now things were beginning to click into place…. “Why was this axe carved on the chessboard?” I asked Lily, knowing the answer in my heart before she spoke. “What did Mordecai say was the connection?”…. “That’s what it’s all about,” she said quietly. “To kill the King.” The sacred axe was used to kill the King. The ritual had been the same since the beginning of time. The game of chess was merely a reenactment. Why hadn’t I recognized it before?
Perhaps at the center of Aldecoa’s labyrinth lurk the capitalist bosses from Chicago who, some say, set fire to a textile factory on this date in 1908.
Cover detail, soundtrack recording
of the Jennifer Jones film
"Angel, Angel, Down We Go"
The girl's left eye in the above
portrait illustrates a remark
in yesterday's New York Times
on a figure in a painting:
"His head recedes into shadow, so you barely see his face. But a tiny fleck of white in his eye, a light that kindles his reawakening, brings him to life. It’s what Roland Barthes, the French critic, liked to call a punctum, the spot, marking time, that burns an image into memory."
(This remark, by Michael Kimmelman,
comes with a headline–
Lights! Darks! Action! Cut!
Maestro of Mise-en-Scène
— that seems to have been inspired
by Tom Wolfe's prose style.)
Tongued with Fire (Illustrated) “The communication of the dead is tongued with fire beyond the language of the living.”
— T. S. Eliot, Four Quartets
Photo by Mark J. Terrill / AP
Above: Christina Aguilera performs “It’s a Man’s Man’s Man’s World” in tribute to the late James Brown during the Grammy Awards in Los Angeles on Sunday, February 11, 2007.
CAMBRIDGE, Mass., Feb. 11– Recalling her coming of age as the only girl in a privileged, tradition-bound family in Virginia horse country, Drew Gilpin Faust, 59, has often spoken of her “continued confrontations” with her mother “about the requirements of what she usually called femininity.” Her mother, Catharine, she has said, told her repeatedly, “It’s a man’s world, sweetie, and the sooner you learn that the better off you’ll be.”….
… Asked Sunday whether her appointment signified the end of sex inequities at the university, Dr. Faust said: “Of course not. There is a lot of work still to be done, especially in the sciences.”
What would her mother, who never went to college and died in 1966, have to say about her appointment? “I’ve often thought about that,” she said. “I’ve had dialogues with my dead mother over the 40 years since she died.”
Then she added with a rueful smile, “I think in many ways that comment– ‘It’s a man’s world, sweetie’– was a bitter comment from a woman of a generation who didn’t have the kind of choices my generation of women had.”
“But it wouldn’t mean nothin’ … nothin’ … without a woman or a girl.”
— James Brown, who died last year on Christmas Day
Click on pictures
for details related tp
the Feast of St. Anne
(July 26).
"The best theology today,
in its repudiation of a
rhetorical religious idealism,
finds itself in agreement
with a recurrent note
in contemporary poetry….
We keep coming back
and coming back/
To the real: to the hotel
instead of the hymns/
That fall upon it
out of the wind. We seek/
… Nothing beyond reality.
Within it/
Everything,
the spirit’s alchemicana….
(From 'An Ordinary Evening
in New Haven,'
in The Collected Poems
of Wallace Stevens….)
… Not grim/ Reality, but reality grimly seen….
(Ibid.)"
— "The Church's
New Concern with the Arts,"
by Amos N. Wilder,
Hollis Professor
of Divinity, Emeritus,
at Harvard Divinity School,
in Christianity and Crisis,
February 18, 1957.
"All the truth in the world
adds up to one big lie."
“Christmas markets have been part of this festive time for centuries in Germany. They were usually held in front of churches and were looked at as part of a church visit. The oldest recorded market dates to 1310 in Munich, Germany. It was called Nikolausdult and was very different from the markets of today. It was an opportunity for farmers to come to town, do some shopping and at the same time, offer their wares.
The reformation of the church in the 16th century brought changes to the Christmas markets. Nikolaus was replaced by the Christkindl (Christchild) as the gift giver and the Nikolaus markets became Christkindl markets. This custom began in the Protestant areas of Bavaria with Nuremberg being the first city to call its market Christkindlesmarkt. Munich, a Catholic city, changed its Nikolausdult to Christkindlmarkt in 1805.”
“The Christkindl, the Christmas Fairy, is a cherished highlight during the Holiday Tree Lighting. The Christmas Fairy proclaims the opening of Christkindlmarket Chicago.”
On the “Christkindl,” the Christmas Fairy & our sister-market visit
www.christkindlesmarkt.de
The famous “Christkindl,” the Christmas Fairy, is the trademark of Christkindlmarket Chicago and its sister-market Christkindlesmarket Nürnberg, Germany
In its English version, the Nuremberg website calls the alleged “Christmas Fairy” an angel:
“The Nuremberg Christmas Angel with her white and golden dress, long blond curls and her golden crown, has been the symbol for the Christmas Market for many decades. During Advent time, the Christmas Angel is the most important representative of the city and of the traditional Christmas Market.
Every year, on the Friday before the first Advent Sunday, the Nuremberg Christmas Angel opens the Nuremberg Christmas Market by reciting a solemn prologue.”
The German version of the Nuremberg site calls the Christmas Angel the Christkind (Christ Child). This confusion of the Christ Child with a supernatural bringer of gifts– hence, later, an angel, and, in Chicago, a fairy– is said to have originated with Martin Luther.
The Christkind was originally introduced in the 16th century by religious reformer Martin Luther. Until then, it was always Saint Nicholas who brought gifts on Dec. 6. But as Protestants can’t have saints, Luther needed a new Christmas tradition for his followers. “Luther wanted to move the gift-giving away from the Catholic holiday on Dec. 6,” said Nuremberg tourism manager Michael Weber. “So he reinvented the tradition for Protestants by moving it to Christmas Eve and making the Christkind— really, the baby Jesus– the person who brought the gifts.”
It was under the rule of the National Socialists that the image of today’s Christkind was ultimately anchored in the collective German mind. They built on Nuremberg’s tradition of producing tinsel angels, and in 1933, had a young girl in an angel costume open the city’s Christmas Market for the first time. After the second World War, Nuremberg’s tinsel angels became simply the Nuremberg Christkind, and the figures were sold nation-wide.
Here is the banner for the Nuremberg site:
The banner reads: “Nuremberg Christkindlesmarkt– Where the Christ Child is at home“
A poetic connection between the star of “The Hollow Men” and Christmas is furnished by the remarks of Wallace Stevens linked to in the previous entry from the word “information.”
"The geometrization conjecture, also known as Thurston's geometrization conjecture, concerns the geometric structure of compact 3-manifolds. The geometrization conjecture can be considered an analogue for 3-manifolds of the uniformization theorem for surfaces. It was proposed by William Thurston in the late 1970s. It 'includes' other conjectures, such as the Poincaré conjecture and the Thurston elliptization conjecture."
The second sentence, in bold type, was added on 8/21 by yours truly. No deep learning or original thought was required to make this important improvement in the article; the sentence was simply copied from the then-current version of the article on Grigori Perelman (who has, it seems, proved the geometrization conjecture).
This may serve as an example of the "mathematics" part of the above phrase "Mathematics and Narrative" — a phrase which served, with associated links, as the Log24 entry for 8/21.
"Each step in the story is a work of art, and the story as a whole is a sequence of episodes of rare beauty, a drama built out of nothing but numbers and imagination." –Freeman Dyson
This quotation appeared in the Log24 entry for 7/23, "Dance of the Numbers." What Dyson calls a "story" or "drama" is in fact mathematics. (Dyson calls the "steps" in the story "works of art," so it is clear that Dyson (a former student of G. H. Hardy) is discussing mathematical steps, not paragraphs in someone's account– perhaps a work of art, perhaps not– of mathematical history.) I personally regard the rhetorical trick of calling the steps leading to a mathematical result a "story" as contemptible vulgarization, but Dyson, as someone whose work (pdf) led to the particular result he is discussing, is entitled to dramatize it as he pleases.
For related material on mathematics, narrative, and vulgarization, click here.
The art of interpretation (applied above to a lottery) is relevant to narrative and perhaps also, in some sense, to the arts of mathematical research and exposition (if not to mathematics itself). This art is called hermeneutics.
For more on the subject, see the Stanford Encyclopedia of Philosophy article on Hans-Georg Gadamer, "the decisive figure in the development of twentieth-century hermeneutics."
"Foreword" in Gian-Carlo Rota, Indiscrete Thoughts,
Boston: Birkhäuser Verlag,
1996, xiii-xvii, and
"Gadamer's Theory of Hermeneutics" in The Philosophy of Hans-Georg Gadamer,
edited by Lewis E. Hahn,
The Library of Living Philosophers, Vol. 24,
Chicago: Open Court Publishers,
1997, 223-34.
1377, from O.Fr. experience, from L. experientia “knowledge gained by repeated trials,” from experientem (nom. experiens), prp. of experiri “to try, test,” from ex- “out of” + peritus “experienced, tested.” The v. (1533) first meant “to test, try;” sense of “feel, undergo” first recorded 1588.
“In many ways, the arts are the highest achievements of man.”
— Harvard President Lawrence H. Summers, Feb. 26, 2004
”We intensively train children in the Arts and ritual because deep down we know that these are the only things that really MATTER. This is what we must share first with the young, in case they DIE.”
Harvard persons from parts of the university that are more scholarly than the Business School may sneer at the above-quoted Online Etymology Dictionary. They can consult the following:
On “experience”
From J.L. Austin,From Ritual to Theatre: The Human Seriousness of Play:
“Scholars, such as Julius Pokorny (Indogermanisches Etymolgisches Worterbuch, 1959), trace ‘experience’ right back to hypothetical Indo-European base or root *per-, ‘to attempt, venture, risk,’ whence the Greek peira,”experience,” the source of our word ’empirical.’ It is also the verbal root which derives the Germanic *feraz, giving rise to Old English faer, “danger, sudden calamity,” whence Modern English ‘fear.’ Already, we see the ‘cognitive’ directions taken by * per-, through the Greek route, and affective ones, through the Germanic — which would have interested Dilthey, one may be sure! But more directly ‘experience’ derives, via Middle English and Old French, from the Latin experientia, denoting ‘trial, proof, experiment,’ itself generated from experiens, the present participle of experiri, ‘to try, test,’ from from ex-, ‘out’ + base per as in peritus, ‘experienced,’ ‘having learned by trying.’ The suffixed extended form of *per is peri-tlo-, whence the Latin periclum, periculum, “trial, danger, peril. Once more, we find experience linked with risk, straining towards ‘drama,’ crisis, rather than bland cognitive learning!”
“… Finally, ‘experiment,’ like ‘experience,’ is derived from Latin experiri “to try or test.” If we put these various senses together we have a ‘laminated’ semantic system focused on ‘experience,’ which portrays it as a journey, a test (of self, of suppositions about others), a ritual passage, an exposure to peril or risk, a source of fear. By means of experience, we ‘fare’ ‘fearfully’ through ‘perils,’ taking ‘experimental’ steps. …” (17-18)
Today’s previous entry is a sort of “ritual passage” for a Nobel Prize winner. For a ritual passage more directly related to Professor Badaracco, see the Brookline TAB obituary of his 23-year-old daughter, who died on Monday, August 21, 2006. According to today’s online Harvard Crimson, “she was walking along Hammond Street in Newton [Mass.] when an 84-year-old driver jumped the curb and struck her.”
A. Diamond Theory, a 1976 preprint containing, in the original version, the designs on the faces of Nicholson’s “Kufi blocks,” as well as some simpler traditional designs, and
B. “Block Designs,” a web page illustrating design blocks based on the 1976 preprint.
Nicholson’s quest has apparently lasted for some time. Promotional material for a 1996 Nicholson exhibit in Montreal says it “invites visitors of all ages to experience a contemporary architect’s search for order, meaning and logic in a world of art, science and mystery.” The title of that exhibit was “Uncovering Geometry.”
* “Square Kufi” calligraphy is used in Islamic architectural ornament. I do not know what, if anything, is signified by Nicholson’s 6×12 example of “Kufi blocks” shown above.
“In a scathing attack on what they termed the ‘Israel Lobby,’ the Kennedy School’s Stephen M. Walt and the University of Chicago’s John J. Mearsheimer argued in a recent article that supporters of Israel have seized control of U.S. foreign policy, making it reflect Israel’s interests more than those of the U.S.”
“Durkheim breathed the air of turn-of-the-century Paris, a place that fizzed with experiments in artistic representation, and a time when philosophy, science, and art existed in nothing like today’s isolation from one another.24
24 Judith Ryan provides an illuminating account of the links joining physics, psychology, philosophy, painting, and literature in The Vanishing Subject: Early Psychology and Literary Modernism, Chicago, University of Chicago Press, 1991.”
And today’s Crimson provides an illuminating account of Judith Ryan and (implicitly) forms of the religious life at Harvard.