Wednesday, November 30, 2016

Eightfold Roman

Filed under: General — Tags: — m759 @ 8:00 PM

"Frye's largely imaginary eightfold roman 
may have provided him a personal substitute—
or alternative— for both ideology and myth."

— P. 63 of James C. Nohrnberg, "The Master of
the Myth of Literature: An Interpenetrative Ogdoad
for Northrop Frye," Comparative Literature  Vol. 53,
No. 1 (Winter, 2001), pp. 58-82

See also today's earlier post In Nuce .

Chess News

Filed under: General — m759 @ 7:29 PM

Language Game

Filed under: General — Tags: — m759 @ 12:00 PM

Lumber Room

Filed under: General — Tags: — m759 @ 11:07 AM

From "Northrop Frye at Home and Abroad: His Ideas,"
by Jean O'Grady —

"Frye always denied the accusation that
he was trying to make everyone accept
his whole ‘system’ like a straightjacket;
he remarked to an interviewer that perhaps
he would ultimately be found less useful as a
systemizer than as a quarry for later thinkers,
'a kind of lumber-room for later generations…
a resource person for anyone to explore and
get ideas from.' "

From Wikipedia's Lumber Room article —

"The phrase 'lumber room' is found in British fiction
at least during the 19th century ….  Probably one of
the most evocative references is the short story by 
'Saki' (H. H. Munro) called 'The Lumber Room':
'Often and often Nicholas had pictured to himself
what the lumber-room might be like, that region
that was so carefully sealed from youthful eyes
and concerning which no questions were ever answered.
It came up to his expectations. In the first place it was large
and dimly lit, one high window opening on to the forbidden
garden being its only source of illumination. In the second
place it was a storehouse of unimagined treasures.' "

See also Two by Four in this journal.

In Nuce

Filed under: General,Geometry — Tags: — m759 @ 3:48 AM

Excerpts from James C. Nohrnberg, "The Master of the Myth of Literature: An Interpenetrative Ogdoad for Northrop Frye," Comparative Literature  Vol. 53, No. 1 (Winter, 2001), pp. 58-82

From page 58 —
"… the posthumously revealed Notebooks. A major project of the latter was his 'Ogdoad': two groups of four books each. '[T]he second group of four […] were considered to be Blakean "emanations" or counterparts of the first four,' like 'the "double mirror" structure of The Great Code  and Words with Power : two inter-reflecting parts of four chapters apiece,' Michael Dolzani reports.* "

* P. 22 of Rereading Frye: The Published and Unpublished Works , ed. David Boyd and Imre Salusinszky, Frye Studies [series] (Toronto: University of Toronto Press, 1998). [Abbreviated as RF .]

From page 62 —
"Visionaries like Blake and dramatists like Wagner seem to be working from some larger, mythic blueprint present in nuce  from very early on."

From page 63 —
"Frye's hypothetical books and will-to-totality were obviously fruitful; if the beckoning star was illusory, it nonetheless settled on a real birthplace. The sought-for constructs substituted their scaffolding for a backbone-like confidence in pre-given beliefs; possession of the latter is why Tories like Dr. Johnson and T.S. Eliot could do quite nicely without the constructs. Frye's largely imaginary eightfold roman  may have provided him a personal substitute— or alternative— for both ideology and myth."

From page 69 —
"For Frye the chief element of imaginative or expressive form is the myth, which functions structurally in literature like geometric shapes in painting."

From page 71 —
"The metaphysical skyhook lifting the artist free from unreflective social commitment is often a latent or manifest archetype that his work renews or reworks."

From page 77 —
"Frye's treatises— so little annotated themselves— are the notes writ large; the notes in the Notebooks are treatises writ small. They interpenetrate. Denham quotes 'the masters of the T'ien-tai school of Mahayana Buddhism' as saying '[t]he whole world is contained in a mustard seed' (RF  158, 160), and Frye quotes Keats: 'Every point of thought is the center of an intellectual world' (Study  159; cf. Great Code  167-68 and AC  61). …. [Frye’s] complex books were all generated out of the monadic obiter dicta . His kingdom 'is like a grain of mustard seed, which a man took, and cast into his garden, and it grew' (Luke 13:18-19)."

Tuesday, November 29, 2016

Border Station

Filed under: General — m759 @ 3:33 AM

It’s Still the Same Old Story…

Filed under: General — m759 @ 3:00 AM

Casablanca meets Capablanca.

IMAGE- Bogart in 'Casablanca' with chessboard

Schoolgirl Problem

Filed under: General — m759 @ 2:14 AM

Monday, November 28, 2016

Higgs Boson of the Sublime

Filed under: General — Tags: — m759 @ 3:29 PM

Click here to enlarge.

Update of 4:00 PM —

See also this  journal on Sunday morning and
Bill Murray's  "Razor's Edge."


Filed under: General — Tags: — m759 @ 3:00 PM

Or:  A Candle for Sunrise  


Commentary —

“Looking carefully at Golay’s code is like staring into the sun.”

— Richard Evan Schwartz

Sunday, November 27, 2016

A Machine That Will Fit

Filed under: General,Geometry — Tags: , , — m759 @ 8:00 AM

Or:  Notes for the Metaphysical Club

Northrop Frye on Wallace Stevens:

"He… stands in contrast to the the dualistic
approach of Eliot, who so often speaks of poetry
as though it were an emotional and sensational
soul looking for a 'correlative' skeleton of
thought to be provided by a philosopher, a
Cartesian ghost trying to find a machine that
will fit."

Ralph Waldo Emerson on "vacant and vain" knowledge:

"The new position of the advancing man has all
the powers of the old, yet has them all new. It
carries in its bosom all the energies of the past,
yet is itself an exhalation of the morning. I cast
away in this new moment all my once hoarded
knowledge, as vacant and vain." 

Harold Bloom on Emerson:

"Emerson may not have invented the American
Sublime, yet he took eternal possession of it." 

Wallace Stevens on the American Sublime:

"And the sublime comes down
To the spirit itself,

The spirit and space,
The empty spirit
In vacant space."

A founding member of the Metaphysical Club:

See also the eightfold cube.

Rieff on Emerson

Filed under: General — Tags: — m759 @ 1:00 AM

Saturday, November 26, 2016

Emerson’s Surprises

Filed under: General — Tags: — m759 @ 6:00 PM

A passage quoted here Wednesday, Nov. 23

The exploding cigar and peanut-can snake of the previous post
suggest that the source of the above "series of surprises" 
be made clear. It is not Stevens, but Emerson.


Filed under: General — Tags: — m759 @ 7:00 AM

See as well a related Google search.

Friday, November 25, 2016

The Correlative Skeleton

Filed under: General — Tags: , — m759 @ 11:00 PM

Related material from this journal —

Spirit and Space

Filed under: General — Tags: , — m759 @ 11:07 AM

For those who prefer stories


Filed under: General,Geometry — Tags: , — m759 @ 12:00 AM

Before the monograph "Diamond Theory" was distributed in 1976,
two (at least) notable figures were published that illustrate
symmetry properties of the 4×4 square:

Hudson in 1905 —

Golomb in 1967 —

It is also likely that some figures illustrating Walsh functions  as
two-color square arrays were published prior to 1976.

Update of Dec. 7, 2016 —
The earlier 1950's diagrams of Veitch and Karnaugh used the
1's and 0's of Boole, not those of Galois.

Thursday, November 24, 2016

For a Memorable Guitarist*

Filed under: General — m759 @ 10:30 PM

See Bonanza and Magnificent Seven in this journal.

* Al Caiola, who reportedly died on November 9th.

Wednesday, November 23, 2016

But Seriously …

Filed under: General — m759 @ 11:22 PM

Lullaby for Brooklyn

Filed under: General — m759 @ 10:00 PM

This journal at 11:48 PM ET Sunday, Nov. 20, 2016

The New York Times  online this evening* —

* On the New York Times  Wire at 8:29 PM ET.

Cover:  Night at the Brooklyn Bridge


Filed under: General,Geometry — Tags: , — m759 @ 12:31 PM

From the American Mathematical Society (AMS) webpage today —

From the current AMS Notices

Related material from a post of Aug. 6, 2014


(Here "five point sets" should be "five-point sets.")

From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens  54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”

IMAGE- A symplectic structure -- i.e. a structure that is symplectic (meaning plaited or woven)

The above symplectic  structure* now appears in the figure
illustrating the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2).

* The phrase as used here is a deliberate 
abuse of language .  For the real definition of 
“symplectic structure,” see (for instance) 
“Symplectic Geometry,” by Ana Cannas da Silva
(article written for Handbook of Differential
, Vol 2.) To establish that the above
figure is indeed symplectic , see the post 
Zero System of July 31, 2014.

Tuesday, November 22, 2016


Filed under: General,Geometry — Tags: , , — m759 @ 4:00 PM

See "sacerdotal jargon" in this journal.

For those who prefer scientific  jargon —

"… open its reading to
combinational possibilities
outside its larger narrative flow.
The particulars of attention,
whether subjective or objective,
are unshackled through form,
and offered as a relational matrix …."

— Kent Johnson in a 1993 essay

For some science that is not just jargon, see

and, also from posts tagged Dirac and Geometry

Anticommuting Dirac matrices as spreads of projective lines

The above line complex also illustrates an outer automorphism
of the symmetric group S6. See last Thursday's post "Rotman and
the Outer Automorphism

Inner, Outer (continued from yesterday)

Filed under: General — Tags: — m759 @ 8:00 AM

Monday, November 21, 2016

Inner, Outer

Filed under: General,Geometry — Tags: , — m759 @ 1:04 PM

Detail of a note from 7/11, 1986

Backstory: Notes on Groups and Geometry, 1978-1986.

Laughing-Academy Cartography

Filed under: General — Tags: — m759 @ 2:45 AM

See also "Both Hands and an Ass Map"
in posts tagged "Academy Map."

End, Beginning, Inner, Outer, Etcetera, Etcetera

Filed under: General — Tags: , — m759 @ 2:14 AM

From "Kafka: An End or a Beginning?"
by Morten Høi Jensen
in Los Angeles Review of Books ,
November 19, 2016 —

Sunday, November 20, 2016

S is for …

Filed under: General — m759 @ 11:48 PM

From a New York Times  obit for a music producer who reportedly
died on Tuesday, November 15, 2016 —

"He also produced the Starland Vocal Band’s No. 1 hit,
'Afternoon Delight' (1976), and conducted Rabbi Shlomo Carlebach,
and the orchestra that accompanied him, on his album
'Haneshama Lach' (1959)." — Daniel E. Slotnik

See as well



Filed under: General — m759 @ 3:48 PM

See also Jung + Diamonds in this journal.

Saturday, November 19, 2016


Filed under: General — Tags: — m759 @ 6:00 PM

"The high-end diamond game is played
on a very small field by only a few players."

Matthew Hart in Vanity Fair , Sept. 2016 issue 

Alicia Vikander and Matt Damon in "Jason Bourne" (2016).
The linked-to trailer was uploaded on April 20, 2016.

For related entertainment, see posts of April 2016… 
in particular, those related to the April 20 death of
"Diamonds Are Forever" director Guy Hamilton.

Friday, November 18, 2016

The Wall

Filed under: General — m759 @ 3:45 PM

Earlier …

Through the Vanishing Point

Filed under: General — m759 @ 3:09 PM

This post's title is that of a book by Marshall McLuhan,
Through the Vanishing Point: Space in Poetry and Painting .

From a post of 6 PM yesterday

Click image to enlarge.

From the Web —

" The mystical school of thought came to be known as
Kabbalah , from the Hebrew root Qof-Beit-Lamed ,
meaning 'to receive, to accept.' The word is usually
translated as 'tradition.' " — Judaism 101

   Gruber reportedly died yesterday — November 17, 2016.

Key to All Mythologies

Filed under: General,Geometry — m759 @ 5:08 AM


Thursday, November 17, 2016

Archive Edition

Filed under: General — m759 @ 7:00 PM

See also the previous post.

Bullshit Studies

Filed under: General — Tags: — m759 @ 6:00 PM


Click image to enlarge.

Rotman and the Outer Automorphism

Filed under: General,Geometry — Tags: — m759 @ 11:00 AM

This is a followup to Tuesday's post on the Nov. 15 American
Mathematical Society (AMS) obituary of Joseph J. Rotman.

Detail of a page in "Notes on Finite Geometry, 1978-1986,"
"An outer automorphism of S6 related to M24" —

Related work of Rotman —

"Outer Automorphisms of S6," by
Gerald Janusz and Joseph Rotman,
The American Mathematical Monthly ,
Vol. 89, No. 6 (Jun. – Jul., 1982), pp. 407-410

Some background —

"In a Nutshell: The Seed," Log24 post of Sept. 4, 2006:

Wednesday, November 16, 2016


Filed under: General — m759 @ 9:22 PM

Lines for a late cellist

For a different sort of quartet,
see "Arrowy, Still Strings."

See also this journal ten years ago.

Tuesday, November 15, 2016

Joseph J. Rotman’s AMS Obituary

Filed under: General — m759 @ 10:30 PM

The obituary linked to by the American Mathematical Society today
is a brief funeral-home summary.

A more complete account of Rotman's life, on the occasion of his
retirement, appeared in an academic newsletter in the spring of 2004 —

(Click image to enlarge.)

See also Rotman in this journal.

A Paris Review

Filed under: General — Tags: — m759 @ 4:56 PM

The half-hour referred to here was from 12 PM ET
to 12:30 PM ET on Friday, April 4, 2014

12 PM at Log24 —

12:30 PM at Princeton —

The New York Times  on an art lecturer who died on Nov. 9 —

She became a Vogue  correspondent in postwar Paris
and worked for art magazines before starting her own,
the celebrated L’Oeil  (The Eye).

See also Obituary Metaphysics from November 11th —

The View from Lone Pine …

Filed under: General — m759 @ 5:48 AM

Three Log24 posts of April 5, 2014 —

and, on that same date, three Facebook 
posts from Clovis, CA.

See also the Log24 post of 7:13 AM ET
Saturday, November 12, 2016, which
contained only the following link —

1 Corinthians 15:55 .

Monday, November 14, 2016

California Dreaming

Filed under: General — m759 @ 9:09 PM

(A post suggested by a Facebook page from Clovis, California)

See Elysian in this journal.

Related material — Shell Game in this journal.


Filed under: General — m759 @ 7:00 PM

The title was suggested by posts on "Box of Nothing."

See also


Filed under: General,Geometry — Tags: — m759 @ 10:12 AM

See also Solomon Marcus in this journal.

"Look out, kid, they keep it all hid." — Bob Dylan

Sunday, November 13, 2016


Filed under: General — Tags: — m759 @ 11:30 PM

Sewell is supposedly modeled on literary critic R. P. Blackmur.
For a quotation from Blackmur, see a post of June 1, 2006.

Devil’s Canyon

Filed under: General — Tags: — m759 @ 11:07 PM

Shell Game

Filed under: General — Tags: — m759 @ 3:10 PM

See "No Space or Time" in this journal and
the new trailer, starring Scarlett Johansson,
for "Ghost in the Shell."

Related philosophy — Search Log24 for "Trinity."

The Place

Filed under: General — Tags: — m759 @ 1:05 PM

"… a place where there's no space or time …."

— Leon Russell, "A Song for You"

"And in the midst of the war is
the Place, outside space and time…."

Saturday, November 12, 2016

Good Questions

Filed under: General — Tags: — m759 @ 7:13 AM

1 Corinthians 15:55

Friday, November 11, 2016


Filed under: General — m759 @ 6:29 PM

The character who dies in the above scene was not
played by Robert Vaughn (also in the film), but by
Brad Dexter, who reportedly died on Dec. 12, 2002.

See that date in this journal.

In Memory Of …

Filed under: General — m759 @ 11:00 AM

… Songwriter Leonard Cohen, who reportedly
    died on November 7, 2016.

… And One More for the Road

Filed under: General — m759 @ 2:45 AM

Obituary Metaphysics

Filed under: General — Tags: — m759 @ 2:38 AM

In memory of an art lecturer who reportedly died at 100
on Wednesday, November 9, 2016 —

"… an evening with Ms. Bernier was
a gateway to another realm."
— Robert D. McFadden,
New York Times  online yesterday

Katherine Neville, in Paris on book tour for 'The Fire,' was accidentally swept into a High Mass at Notre Dame.

Wednesday, November 9, 2016

In the Labyrinth of Memory

Filed under: General — m759 @ 9:15 PM

(Continued from January 8, 2003)

Another opening, another show.

Great Again

Filed under: General — m759 @ 1:11 PM

Song suggested by Kellyanne Conway's remarks
in a CNN story today 

"We always felt that Hillary Clinton promising to
put coal miners out of work, or steel workers,
that wasn't going to go well in a place like
Pennsylvania.  Michigan, Wisconsin, the same thing,"
she said.  "So it just all started to come together."

"Here come old flat-top …."

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: General — Tags: — m759 @ 9:11 PM

Click images for related material.

Just the Facts, Ma’am*

Filed under: General,Geometry — m759 @ 1:23 PM

"After finishing high school in Miami,
Ms. Reno attended Cornell University,
graduating in 1960 with a degree in chemistry."

The online New York Times  today

* Folk quotation.

  An example that is blatantly not  "just the facts," from a Cornell author
  found via last midnight's link "Ghost Light"  —

         — David W. Henderson, Cornell University


Filed under: General — m759 @ 12:00 AM

See "Ghost Light" in this journal.

Sunday, November 6, 2016


Filed under: General — Tags: — m759 @ 11:00 PM

On a renovation of Manhattan's Irish Repertory Theatre:

"Performances in the new space began on May 17, 2016."

This journal on May 17, 2016

Click the image below for a related story. 

See also Cartesian Theatre, a post of April 19, 2004.

Condolence Card

Filed under: General — m759 @ 2:00 PM

From The Cincinnati Kid , a 1963 novel
by Richard Jessup —

"Funeral services will be held Sunday at 2 p.m. 
at Weil Funeral Home at 8350 Cornell Road….
Burial will follow the funeral service at the
United Jewish Cemetery in Walnut Hills."

"There'll be time enough for counting
when the dealing's done." — Kenny Rogers

Major League Obit

Filed under: General — m759 @ 12:00 PM

Click to enlarge

Oh, when the saints …

Scene from the film "The Cincinnati Kid" (1965)

Saturday, November 5, 2016


Filed under: General — m759 @ 7:31 PM

Wikipedia— "The first Million Mask March occurred in 2013."

A check of the date of that march in this journal yields

See as well, more generally, "Interpenetration" in this journal.

For the Old Guy

Filed under: General — m759 @ 9:48 AM

See "Hollow Men" in this journal.

Friday, November 4, 2016

Musical Version

Filed under: General — m759 @ 11:00 PM

On a Thursday death in Cincinnati

"At his death, Mr. Steiner was developing
a musical version of the movie 'Bull Durham.'

— William Grimes in tonight's online New York Times

Enjoy the show.

Crimson Tales

Filed under: General — m759 @ 9:16 PM

This post was suggested by

A death last Sunday and a Harvard Crimson  story today.

Related images —

From last Sunday

From an author who reportedly died on Oct. 31 (Halloween)

Blues Sister

Filed under: General — m759 @ 3:25 PM

Adam Bernstein on the late singer Kay Starr:

"She also was widely considered a master of the blues,
drawing praise for her authenticity from Billie Holiday,
Dinah Washington, Lester Young and Basie singer
Jimmy Rushing, who once exclaimed that she had
'so much soul!' Along with Peggy Lee, she was one of
the few non-black vocalists who emphasized a blues
repertoire at the time. (Ms. Starr was three-quarters
American Indian and one-quarter Irish.)"

Commentary —

Pop Hit

Filed under: General — m759 @ 2:56 PM

The Washington Post  yesterday evening —

Kay Starr, ferociously expressive singer
who had pop hit with ‘Wheel of Fortune,’
dies at 94

By Adam Bernstein November 3 at 8:01 PM 

Kay Starr, a ferociously expressive singer whose ability to infuse swing, pop and country songs with her own indelible, bluesy stamp made her one of the most admired recording artists of her generation, died Nov. 3 at her home in Los Angeles. She was 94.

Midrash —

Yesterday afternoon's post "Triple Cross" and

Thursday, November 3, 2016

Triple Cross

(Continued See the title in this journal, as well as Cube Bricks.)

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168
Related material —

Dirac and Geometry in this journal,
Kummer’s Quartic Surface in this journal,
Nanavira Thera in this journal, and
The Razor’s Edge  and Nanavira Thera.

See as well Bill Murray’s 1984 film “The Razor’s Edge”

Movie poster from 1984 —

“A thin line separates
love from hate,
success from failure,
life from death.”

Three other dualities, from Nanavira Thera in 1959 —

“I find that there are, in every situation,
three independent dualities….”

(Click to enlarge.)

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