Saturday, January 31, 2015

Nicht Spielerei*

Filed under: General — m759 @ 10:45 PM

Von Weizsäcker reportedly
died sometime last night.

* A reference to this journal's
  final post from 2014.

Spielraum II

Filed under: General — Tags: — m759 @ 8:45 PM

For those who prefer Heidegger to Hausdorff:


Filed under: General — Tags: — m759 @ 1:27 PM

From the concluding paragraph of a new book by
mathematician Michael Harris:

"A team of eminent scholars is completing a definitive
edition of Hausdorff’s collected works—'unique
in the annals of mathematical publishing'— with the
care befitting the literary figure he undoubtedly was….
he is honored as, perhaps, the first modern
mathematician to give a name to what we have been
calling the 'relaxed field'— he called it the
'Spielraum  of thought'— and as a mathematician
who never lost his sensitivity to his chosen field’s
problematic attractions while remaining fully aware that
every veil lifted only reveals another veil."

— Harris, Michael, Mathematics without Apologies:
Portrait of a Problematic Vocation  
(pp. 324-325). Princeton U. Press. Kindle Edition. 

Related material:  Spiel ist nicht Spielerei .

Spellbound (continued)

Filed under: General — m759 @ 3:33 AM

The New York Times  this morning, in an
obituary for a maker of crossword puzzles :

"… the first known crossword puzzle appeared in
an American newspaper. (Called a 'word-cross'
and shaped like a diamond, it was published in
The New York World  on Sunday, Dec. 21, 1913.)"

See St. Nicholas  magazine, November 1874, p. 59 :

For the answer, see this  journal on Aug. 29, 2002
(with a scene from Spellbound ) and on July 15, 2004.

Friday, January 30, 2015

The Relaxed Field*

Filed under: General — m759 @ 7:00 PM

In memory of a dead poet —

"Relax," said the night man.
"We are programmed to receive."

* A phrase from a new book by mathematician
  Michael Harris, Mathematics without Apologies .

Thursday, January 29, 2015


Filed under: General — m759 @ 9:48 PM

Die Cast

Filed under: General — m759 @ 7:11 PM

Hard Problem

Filed under: General — m759 @ 10:00 AM

The Yale Daily News  on Sept. 9, 2014 —

Related material on "the hard problem" of consciousness—

Wikipedia on the problem, and Tom Stoppard's first new
play in nine years, "The Hard Problem."

See also, in this journal, the posts of Sept. 9, 2014
the date of the above Yale Daily News  story
"Research Suggests New Consciousness Hub."

The above scene from the new Stoppard play
suggests also a review of Kulturkampf for Princeton

Wednesday, January 28, 2015

Roll Credits

Filed under: General — m759 @ 10:18 PM

    See also a tribute to Wang (a Yale math major).

Chapter and Verse

Filed under: General — m759 @ 9:48 PM

Lest the links in the previous post be thought merely
"absurd, imbecilic or sarcastic" —

'In the beginning' according to Jim Holt
   John 1:5 .

Early Nothing

Filed under: General — m759 @ 9:00 PM

See Devil's BibleEarly Nothing, and A Good Time.

More Light

Filed under: General — m759 @ 2:01 PM

Click on the image above for the LA Times  obituary of Charles Townes, inventor of the laser.

See also a statement at Adherents.com —

At The Templeton Prize News Conference, March 9, 2005,'
posted on Templeton Prize official website"—

"Science and religion have had a long history of interesting interaction. But when I was younger, that interaction did not seem like a very healthy one. For example, when I was a graduate student at the California Institute of Technology, even my professor who was directing my research jumped on me for being religiously oriented. I myself have always thought that science and religion are not unrelated, and should be honestly and openly interacting. Later, in the early 1960s, I was at Columbia University and the men's group of Riverside Church, near Columbia, asked if I would talk to them about my views, since I was one of few scientists they knew who attended church. Surprisingly, a week after my talk someone telephoned to ask if he could publish my talk he had heard on the relation between science and religion. Of all things, he wanted to publish it in THINK magazine of IBM, of which he was editor. Shortly after that, the editor of the MIT Alumni Journal read it and also wanted to publish it in his journal, and did. But a prominent MIT alumnus wrote him that if he ever published anything like it again on religion, he would never have anything more to do with MIT. This of course only encouraged me to provide many other talks and articles on the subject as I was invited, but it reflected a common view at the time among many scientists that one could not be a scientist and religiously oriented. There was an antipathy towards discussion of spirituality."

See as well a post, American Activities, from the above-mentioned date— March 9, 2005— in this journal.

A passage relevant to that post from a review of the recent film  Predestination :

"By the end, even bad jokes and tired riddles come together in a giddy concatenation of thought and feeling. When a central character asks, 'Which came first, the chicken or the egg?' he answers for himself: 'The rooster.'  We learn that he’s not just being absurd, imbecilic or sarcastic. He’s presaging the movie’s existential triple whammies."

— "Deep Focus: Predestination," by Michael Sragow, Jan. 8, 2015

V is for Verity

Filed under: General — m759 @ 1:00 PM

Or: Spectral Theory 
(continued from Oct. 2, 2013, and earlier)

A memorable phrase by Verity Stob
at theregister.co.uk on Jan. 26:

"… remember you're not just an emotionless Dalek.
You are in the lavender  band of the autistic spectrum."

See also lavender  in this journal

("Dalek, Spacek.  Spacek, Dalek.")

Verity herself —

Verity's column, illustrated above, on Nov. 12, 2013,
was titled "Three Men in a Tardis."

Connoisseurs of synchronicity may consult my own
remarks on that date.  Three men discussed there
are the two X-Men patriarchs Patrick Stewart and 
Ian McKellen, as well as a more interesting character,
composer Sir John Tavener.


Filed under: General — m759 @ 12:00 AM

Columbia University physics writer Peter Woit dubbed
yesterday Snowpocalypse 2015 in New York City.

Woit used the day to ponder a new book by mathematician
Michael Harris, Mathematics without Apologies .

Related material: a search for Michael Harris in this journal.

That search includes…   

The above art includes an image of William Rubin,
former director of painting and sculpture at the
Museum of Modern Art. Rubin reportedly died on
January 22, 2006. See Log24 posts from that date.

Tuesday, January 27, 2015

Drama Club

Filed under: General — m759 @ 3:27 AM

Julianne Moore at the Screen Actors Guild awards
on Sunday evening:

"When I was 17, I decided I wanted to be
an actor. It didn't seem possible because
I'd never met a real actor," Moore said.
"So I want to say to all the kids in the
drama club, you guys are the real actors."

On the main character of the new film "Birdman"

"Thomson is clearly talented, yet unable to get out of
the shadow of his superhero role. He is filled with
a simmering rage as Robert Downey Jr. appears
on the TV, arguably the highest profile actor alive
courtesy of a role in the Marvel films."

— Grant Pearsall at The Snapper

A midrash for Robert:

See The Stars My Destination and Cube of Ultron.

Monday, January 26, 2015

Savior for Atheists…

Filed under: General,Geometry — m759 @ 5:26 PM

Continued from June 17, 2013
John Baez as a savior for atheists):

As an atheists-savior, I prefer Galois

The geometry underlying a figure that John Baez
posted four days ago, "A Hypercube of Bits," is
Galois  geometry —

See The Galois Tesseract and an earlier
figure from Log24 on May 21, 2007:

IMAGE- Tesseract from Log24 on May 21, 2007

For the genesis of the figure,
see The Geometry of Logic.

New Beginning

Filed under: General — m759 @ 4:00 PM

Ending Credits

Filed under: General — m759 @ 1:44 PM

From a search for "snowflake" in this journal —

Thomas Mann on the deathly precision of snowflakes

See also the January 13  death of a mathematician,
graph theorist Ralph Faudree of the University of Memphis.

Two hymns that may or may not be relevant:

Walking in Memphis and Come Falda di Neve,
the song that plays over the ending credits of
Exorcist III —

YouTube ending credits for 'Exorcist III'

Those who prefer more-secular music may consult
Princeton Requiem, a post from the day of Faudree's death.

Sunday, January 25, 2015

Death of a Salesman

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

Yesterday's online LA Times  had an obituary for a
traveling salesman:

"Besides writing and teaching, Borg was a frequent speaker,
usually racking up 100,000 frequent flier miles a year.
He and Crossan, along with their wives, led annual tours
to Turkey to follow the path of the Apostle Paul and to give
a sense of his world. They also led tours to Ireland to
showcase a different brand of Christianity."

Borg and Crossan were members of the Jesus Seminar.
For Crossan, see remarks on "The Story Theory of Truth."

See also, from the date of Borg's death, a different salesman joke.

Some backstory —

"What we do may be small, but it has
a certain character of permanence."

— G. H. Hardy in A Mathematician's Apology

Saturday, January 24, 2015

For Emma, after Davos

Filed under: General — m759 @ 6:00 PM

See the works of Christine Brooke-Rose.

Now We Are Six (continued)

Filed under: General — Tags: — m759 @ 11:01 AM

Wikipedia on a 1953 novel by Theodore Sturgeon:

"The novel concerns the coming together of
six extraordinary people with strange powers…."

Review of the novel by Ted Gioia at Conceptual Fiction :

"If there is a flaw to More Than Human , it comes from
the writer’s desire to achieve more than fiction. If you 
think that sci-fi books don’t pay attention to deep
inner meanings, you will be surprised by the conclusion
to this work, in which Sturgeon reaches for something
bigger than a story of this scale can deliver."

Background: Sturgeon's novella Baby is Three  (1952).

See also  6!  in this journal.

Friday, January 23, 2015

Complex Symplectic Fantasy

Filed under: General — Tags: — m759 @ 8:08 PM

"We are not isolated free chosers,
monarchs of all we survey, but
benighted creatures sunk in a reality
whose nature we are constantly and
overwhelmingly tempted to deform
by fantasy."

—Iris Murdoch, "Against Dryness"
in Encounter , p. 20 of issue 88 
(vol. 16 no. 1, January 1961, pp. 16-20)

"We need to turn our attention away from the consoling
dream necessity of Romanticism, away from the dry
symbol, the bogus individual, the false whole, towards
the real impenetrable human person."

— Iris Murdoch, 1961

"Impenetrability!  That's what I  say!"

Humpty Dumpty, 1871

The Consolations of Form

Filed under: General — m759 @ 12:00 PM

"In the garden of Adding
 Live Even and Odd…."

– The Midrash Jazz Quartet
    in the novel City of God
    by E. L. Doctorow (2000)

From a search in this journal
for "Against Dryness":

See also the previous three posts.

City Kid

Filed under: General — m759 @ 11:01 AM

Thursday, January 22, 2015


Filed under: General — m759 @ 9:45 PM

* See the previous post's link Against Dryness.

A Shot at Redemption

Filed under: General — m759 @ 7:00 PM


“I need a photo opportunity, 
I want a shot at redemption.
Don’t want to end up a cartoon 
in a cartoon graveyard.”

— Paul Simon

Photo opportunity
for the late John Bayley and Iris Murdoch —

From a cartoon graveyard, in memory of
a British artist who reportedly died yesterday: 

Against Dryness —

Cartoon by Martin Honeysett

Wednesday, January 21, 2015

John Bayley

Filed under: General — m759 @ 11:30 PM

High Concept:

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

The Dark Fields  Meet  The Big Seal .

Recall the punchline of Tuesday afternoon's post
on the 2012 film "Travelling Salesman" —

"What am I, the farmer's daughter?"

For background from the dark fields of the republic,
see a speech last night by Iowa Senator Joni Ernst.

Related material:

At the end of the 2012 film "Travelling Salesman,"
the main character holds up to the light a letter that has
at the top the presidential seal of the United States:

The camera pans down, and the character then
sees a watermark that echoes another famous seal,
from the U.S. one-dollar bill:

For related paranoia, see the novels of Dan Brown

as well as

See also Shema and Clocks Striking 13.

Tuesday, January 20, 2015

State of the NOW:

Filed under: General — m759 @ 10:30 PM

The Malfunctioning TARDIS continues

The New York Times  this evening claims that
this is a photo from the Year of Our Lord 1970:

It clearly is not.  [See correction below.]

Related material: 

See the reference to 1970 in a post from last Saturday night
and an image from the 2002 film Minority Report :

Update to Log24 at 6:52 PM ET Jan. 21
copied from an earlier correction at the Times :

The Big Seal

Filed under: General — Tags: — m759 @ 2:56 PM

On Alice K. Turner, fiction editor at Playboy  magazine
for two decades, who reportedly died on Jan. 17:

"To have Alice publish a science-fiction story
of yours was a big seal of approval."

— Robert Silverberg, according to Turner's
    obituary by Emily Langer in yesterday evening's
    online Washington Post

Also from that obituary:

"Ms. Turner wrote a nonfiction and scholarly
book of her own, 'The History of Hell' (1993).
She professed that she did not believe in the
afterlife and described her book as a 'real
history of an imaginary place.' The erudite
work encompassed theology, art, literature
and history."

See as well this  journal on the date of Turner's death.

Purely Coincidental

Filed under: General — Tags: — m759 @ 2:00 PM

"The character and events depicted in this
motion picture are fictitious. Any similarity
to actual persons, living or dead, is purely

— Ending credits of the 2012 film
      "Travelling Salesman"

From that film's introduction to the
main character:

"He is presently the Rouse Ball Professor
of Mathematics in the Department of
Pure Mathematics and Mathematical Statistics
at Cambridge University and a fellow at
Trinity College. In 2008 he was awarded
the greatest honor in our profession
when he was presented with the Fields Medal
Ladies and gentlemen, it is with great honor
that I now present to you Dr. Timothy Horton."

See also

A line for a fellow of Trinity:

"What am I, the farmer's daughter?"

Monday, January 19, 2015

The Great Gilberts

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

The New York Times  Sunday Style section
(online three days ago):

As for the elder Mr. Gilbert, he could have
leapt out of a novel by Louis Auchincloss

According to his wedding announcement 
in The New York Times, [the elder]
Mr. Gilbert’s father was the chief executive
of a company that made machines for
the textile industry….

— "The Price of Privilege," by Landon Thomas  Jr.

"Machines for the textile industry" —
Try a Web search for 
"Cutting Room Appliances" + Abner + Gilbert.
Compare and contrast with Gilbertville Historic District.

"By Louis Auchincloss" or by F. Scott Fitzgerald?


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

In memory of a mathematician who
reportedly died on Dec. 16, 2014:

"Four dimensions is where things change a lot."

Backstory:  Or Only Die.

Serial Box (continued)

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

Under the Rainbow:

Product 19:

Filed under: General — Tags: , — m759 @ 10:45 AM


From Wikipedia as of today:

"In fiction, revisionism is the retelling of a story
or type of story with substantial alterations in
character or environment, to 'revise' the view
shown in the original work. Unlike most usages
of the term revisionism, this is not generally
considered pejorative.

The film Dances with Wolves  is a revisionist
Western because it portrays the Native Americans
sympathetically instead of as the savages of
traditional Westerns, which have been criticized
as racist. Similarly, the novel Wicked  by 
Gregory Maguire is a revisionist account of 
The Wonderful Wizard of Oz , which portrays the 
Wicked Witch of the West fighting for what she
believes is right, and the Wizard as a ruthless
dictator of Oz."

See also another Wikipedia article's Revision History.

Sunday, January 18, 2015

Double Cross

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

Cross of Gold:

"I would tell them about Rhiannon,
and about my treasured gold cross…."
Stevie Nicks

Dagger Cross:

See Dagger Definitions, by James Joyce:

"Hold to the now, the here, through which
all future plunges to the past."

A Jew's View:

Point Omega Echo

Filed under: General — m759 @ 10:00 AM

"… as though echoing the road's vanishing point
up ahead…." — Album review, 2002

See Vanishing Point in this journal.

See as well Rolling Stone  four days ago
on Stevie Nicks in 1976:

Keep in mind, the audience has
no idea who Stevie Nicks is.

Saturday, January 17, 2015


Filed under: General — m759 @ 11:00 PM

Song: "1970," by The Stooges.

Friday, January 16, 2015

California Dreamin’

Filed under: General — m759 @ 11:00 PM

In memory of music pioneers Kim Fowley
and Ervin Drake, each dead on Jan. 15

The street was deserted late Friday night
We were buggin' each other while
     we sat out the light….

Dead Man's Curve, it's no place to play
Dead Man's Curve, you best keep away

Jan and Dean

A versus PA

Filed under: General,Geometry — Tags: — m759 @ 8:48 PM

"Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
of dense investiture, with luminous vassals."

— “An Ordinary Evening in New Haven” VI

From the series of posts tagged "Defining Form" —

The 4-point affine plane A  and
the 7-point projective plane PA  —

IMAGE- Triangular models of the 4-point affine plane A and 7-point projective plane PA

The circle-in-triangle of Yale's Figure 30b (PA ) may,
if one likes, be seen as having an occult meaning.

For the mathematical  meaning of the circle in PA
see a search for "line at infinity."

A different, cubic, model of PA  is perhaps more perspicuous.

Blackboard Dschjungel

Filed under: General — m759 @ 8:00 PM

Cards of Identity

Filed under: General — m759 @ 1:44 PM

Remarks from The Harvard Crimson
last October on a library visit —

Remarks today by Margaret Soltan 
(University Diaries , or UD )
of George Washington (GW) University 
on writing well —

Thursday, January 15, 2015

Biblical Awards

Filed under: General — Tags: — m759 @ 11:09 AM

Genesis Prize:

Revelation Prize:

In other news

Princeton Music continues…

Filed under: General — Tags: — m759 @ 2:22 AM

A post yesterday linked to a discussion
of the Faustian music of Milton Babbitt,
a serial composer who reportedly died
in Princeton on Saturday, Jan. 29, 2011.

Related material from this journal in
January 2005:

See also "me into you, you into me"
("Taking Lucifer Seriously," Jan. 24, 2004)
and the Saturday night "cold open" in this
journal on the date of Babbitt's death.

Wednesday, January 14, 2015

Kulturkampf for Princeton*

Filed under: General,Geometry — Tags: — m759 @ 2:01 PM

Einstein and Thomas Mann (author of 'The Magic Mountain') at Princeton
Einstein and Thomas Mann, Princeton, 1938

A sequel to Princeton Requiem,
Gesamtkunstwerk , and Serial Box — 

Fearful Symmetry, Princeton Style:

* See as well other instances of Kulturkampf  in this journal.

Serial Box

Filed under: General,Geometry — Tags: , — m759 @ 1:20 PM

Enotes.com on Herman Wouk's 1985 novel Inside, Outside 

"The 'outside' of the title is the goyish world
into which David’s profession has drawn him;
the 'inside' is the warm life of his Russian-
Jewish family on which he, as narrator, reflects
in the course of the novel."

For a different sort of 'inside' life, see this morning's post
Gesamtkunstwerk , and Nathan Shields's Feb. 8, 2011,
tribute to a serial composer "In Memoriam, Milton Babbitt."
Some other context for Shields's musical remarks —

Doctor Faustus and Dürer Square.

For a more interesting contrast of inside with outside
that has nothing to do with ethnicity, see the Feb. 10,
2014, post Mystery Box III: Inside, Outside, about
the following box:



Filed under: General — m759 @ 2:10 AM

IMAGE- Two essays from Mosaic magazine on Wagner and the Jews

Links to the above essays:  
Shields (Jan. 5, 2015),  Rothstein (Jan. 12, 2015)

Talk amongst yourselves.

Tuesday, January 13, 2015

Princeton Requiem

Filed under: General — m759 @ 5:45 PM

Angel Eyes

From The Daily Princetonian ,
a story dated Monday, Jan. 12, 2015:

U. community gathers to
remember Dantzlerward '16


Students, faculty, staff and community members circled around a table supporting a single lit candle in the lobby of Murray-Dodge Hall on Monday night as they remembered the life of Audrey Dantzlerward ’16, who was found dead in her room in Edwards Hall today. The gathering, led by Dean of Religious Life and the Chapel Alison Boden, was moved to the lobby after a room reserved for the meeting overflowed.

Participants spoke commonly of Dantzlerward’s contributions to campus life, sharp intellect, supportive gestures and friendly demeanor, and the Wildcats, an a cappella group of which Dantzlerward was a member, sang the song “Angel Eyes,” which is traditionally the first and last song Wildcats members sing upon joining the group and graduating. ….

See a YouTube video, uploaded on May 26, 2014,
of the Princeton Wildcats singing "Angel Eyes."

See also "Angel Eyes" and "Proginoskes" in this journal.

Monday, January 12, 2015

Points Omega*

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

The previous post displayed a set of
24 unit-square “points” within a rectangular array.
These are the points of the
Miracle Octad Generator  of R. T. Curtis.

The array was labeled  Ω
because that is the usual designation for
a set acted upon by a group:

* The title is an allusion to Point Omega , a novel by
Don DeLillo published on Groundhog Day 2010.
See “Point Omega” in this journal.

Sunday, January 11, 2015

Real Beyond Artifice

Filed under: General,Geometry — Tags: , , , — m759 @ 7:20 PM

A professor at Harvard has written about
“the urge to seize and display something
real beyond artifice.”

He reportedly died on January 3, 2015.

An image from this journal on that date:

Another Gitterkrieg  image:

 The 24-set   Ω  of  R. T. Curtis

Click on the images for related material.

The XYZ of Being

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

From a recent Gitterkrieg  post:

"The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being…." — Wallace Stevens

See also the cover of the February 2015
Notices of the American Mathematical Society .

"Omega is as real  as we need it to be."
Burt Lancaster in The Osterman Weekend


Filed under: General — m759 @ 10:07 AM

For Saturday Night Live  and Robert Stone:

Moss Wall.

In Memoriam

Filed under: General — m759 @ 12:05 AM

See a search for "Robert Stone" in this journal.

Saturday, January 10, 2015

Stone Cold Open

Filed under: General — Tags: — m759 @ 11:29 PM


Filed under: General — Tags: — m759 @ 10:00 PM

For Kristen Wiig, a 10 if ever there was one.

To be is to be the value of a variable.”

See also "Ten'll Getcha."

Ten’ll Getcha

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

The Marlowe Deception*

Filed under: General — m759 @ 12:25 AM

From The New York Times  this morning:

"David Henry Marlowe was born in Brooklyn
on June 6, 1931, the youngest of three children
of Karl and Lena Marlowe, Jewish immigrants
from Russia and Ukraine. His father sold
insurance, among other things, and his mother
ran the household.

For a time, the couple had a 'mind reading' act
on the Coney Island boardwalk, and their son
never forgot it. 'I can’t read minds, like my
parents,' he liked to say to friends. 'What I can
read is behavior.'"

For the rest of the story, see Marlowe's obituary.
For synchronicity, see this journal on the reported
date of his death.

*  "I wrote another book." — Harlan Kane

Friday, January 9, 2015

Enter Tinker Bell

Filed under: General — m759 @ 9:27 PM

IMAGE- Kylie Minogue as the Green Fairy in 'Moulin Rouge'

Kylie Minogue
in “Moulin Rouge”

Plan 9 Continues

Filed under: General — m759 @ 8:48 PM

(An episode of Mathematics and Narrative .)

Mathematician Peter J. Cameron this morning 
on a Paris anthropological exhibition subtitled 
Révélation d’un temps sans fin 

"I was reminded of Herbert Read’s
novel The Green Child ."

Related recent posts from this  journal:

Seal for the SeventhForthright, and Fourth Right.

A passage from The Green Child : 

"He watched over her until he too began to feel
overpowered by a desire to sleep. He therefore
got out on to the ledge of the trough and pulled
the Green Child after him. The rock there was
warm, smooth as jade to the flesh. They lay there
and sank into a profound slumber."

Sweet dreams, Mr. Taylor.

Green Child on the Rocks —

Fourth Right

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

In memory of Rod Taylor, who
reportedly died at 84 on Wednesday,
the seventh day of 2015 —

And there is  such a thing as a 4-set.

Thursday, January 8, 2015


Filed under: General — m759 @ 6:15 PM

Ivor Grattan-Guinness, 1941-2014

The noted historian of mathematics reportedly
died on December 12, 2014.

"His forthright style of operating meant
he could occasionally ruffle academic feathers."
— An acquaintance quoted today in
    Times Higher Education 

See a quote from Grattan-Guinness in this 
journal on April 19, 2004 ("Cartesian Theatre").

ABC Verlag, Zurich

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

IMAGE- Dust jacket, 'Conceptions of International Exhibitions,' by Hans Neuburg, ABC Verlag, Zurich, 1969

"The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being…." — Wallace Stevens

See also Cube Trinity in this journal.


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


From the abstract of a talk, "Extremal Lattices," at TU Graz
on Friday, Jan. 11, 2013, by Prof. Dr. Gabriele Nebe
(RWTH Aachen) —

"I will give a construction of the extremal even
unimodular lattice Γ of dimension 72  I discovered
in summer 2010. The existence of such a lattice
was a longstanding open problem. The
construction that allows to obtain the
minimum by computer is similar to the one of the
Leech lattice from E8 and of the Golay code from
the Hamming code (Turyn 1967)."

On an earlier talk by Nebe at Oberwolfach in 2011 —

"Exciting new developments were presented by
Gabriele Nebe (Extremal lattices and codes ) who
sketched the construction of her recently found
extremal lattice in 72 dimensions…."

Nebe's Oberwolfach slides include one on 
"The history of Turyn's construction" —

Nebe's list omits the year 1976. This was the year of
publication for "A New Combinatorial Approach to M24"
by R. T. Curtis, the paper that defined Curtis's 
"Miracle Octad Generator."

Turyn's 1967 construction, uncredited by Curtis,
was the basis for Curtis's octad-generator construction.

See Turyn in this journal.


Filed under: General — Tags: — m759 @ 2:04 AM

"Pilgrims to James Joyce's grave in Zurich, Switzerland,
continue to have their reveries fed by Hebald's 1966
life size bronze capturing the great modernist author
deep in thought, with open book in hand."

LA Times  obituary for Milton Hebald, sculptor,
     who reportedly died at 97 on Twelfth Night
     (Monday, January 5, 2014)

Related material: Joyce + Zurich + Serpent
in this journal.   

Wednesday, January 7, 2015


Filed under: General — Tags: — m759 @ 9:00 PM

(Continued from Jan. 3 and Jan. 5.) 

Introduction: "Grids, You Say?" by Josefine Lyche,
and Anti-Christmas 2010:

Related material:
Chapter 42 in
A History of Graphic Design ,
by Guity Novin.

Midrash on Hexagram 22

Filed under: General — m759 @ 12:30 PM

See Instantia Crucis and Josefine Lyche's
One-Night-Only exhibition in Oslo Jan. 5.

Seal for the Seventh

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

In memory of my former sixth-grade
teacher at the school below —

East Street School

A song he taught us —

The teacher died on Sunday, May 19, 2013.
See from that date a post titled Sermon.

See as well Lucy’s Day 2014.

Tuesday, January 6, 2015

Lucy Almighty

Filed under: General — Tags: — m759 @ 2:00 PM

"God, Lucy  Lucy, God."

Monday, January 5, 2015

In the Sky, with Diamonds

Filed under: General — Tags: — m759 @ 11:32 PM

Requiem for a Jew

Filed under: General — m759 @ 10:30 PM

"Bercovitch’s first published article, in 1964, was on
'Dramatic Irony in Dostoevsky’s Notes from the Underground ';
his second and his third, in 1965, on 'Romance and Anti-Romance
in Sir Gawain and the Green Knight ' and 'Three Perspectives on
Reality in Paradise Lost .' Only thereafter does his publication record
begin to reflect his interest in the vagaries of early American culture,
when he published in 1966 his essay, 'New England Epic:
Cotton Mather’s Magnalia Christi Americana .'"

— "Scholar and Exegete: A Tribute to Sacvan Bercovitch,
Honored Scholar of Early American Literature," by
Christopher Looby

Bercovitch reportedly died at 81 on Dec. 9, 2014.
See his New York Times  obituary from this evening
as well as a passage from Nicholas of Cusa quoted
here, also on Dec. 9, 2014 —

Bercovitch was a professor at Harvard (an institution
apparently unable to state accurately the date of
his death). The translator of of the above Nicholas of
Cusa passage may, I surmise, have been my section
man in a freshman philosophy course at Harvard
in the academic year 1960-1961.

"The way which directs a pilgrim to a city
is not the name of that city." 
— Nicholas of Cusa

Autodesk Art

Filed under: General — m759 @ 9:57 PM

For some backstory, see Ajna in this journal
as well as Groundhog Day, 2014.


Filed under: General,Geometry — Tags: , — m759 @ 2:00 PM

Wednesday, March 13, 2013

Blackboard Jungle

Filed under: Uncategorized — m759 @ 8:00 AM 

From a review in the April 2013 issue of
Notices of the American Mathematical Society

"The author clearly is passionate about mathematics
as an art, as a creative process. In reading this book,
one can easily get the impression that mathematics
instruction should be more like an unfettered journey
into a jungle where an individual can make his or her
own way through that terrain."

From the book under review—

"Every morning you take your machete into the jungle
and explore and make observations, and every day
you fall more in love with the richness and splendor 
of the place."

— Lockhart, Paul (2009-04-01). 
A Mathematician's Lament:
How School Cheats Us Out of Our Most Fascinating
and Imaginative Art Form 
 (p. 92).
Bellevue Literary Press. Kindle Edition. 

Related material: Blackboard Jungle in this journal.

See also Galois Space and Solomon's Mines.

"I pondered deeply, then, over the
adventures of the jungle. And after
some work with a colored pencil
I succeeded in making my first drawing.
My Drawing Number One.
It looked something like this:

I showed my masterpiece to the
grown-ups, and asked them whether
the drawing frightened them.

But they answered: 'Why should
anyone be frightened by a hat?'"

The Little Prince

* For the title, see Plato Thanks the Academy (Jan. 3).

Sunday, January 4, 2015

Culture War

Filed under: General,Geometry — m759 @ 9:00 PM

From a NY Times  obituary for an Arkansas poet,
Miller Williams, who reportedly died at 84
on New Year's Day —

The title of Lucinda Williams’s most recent album,
"Down Where the Spirit Meets the Bone,” is a
slightly altered line from one of her father’s poems,
which reads in its entirety:

Have compassion for everyone you meet,
even if they don’t want it. What seems conceit,
bad manners, or cynicism is always a sign
of things no ears have heard, no eyes have seen.
You do not know what wars are going on
down there where the spirit meets the bone.

Related material:

And from a sequel to
New Year's Greeting from Franz Kafka:

The above phrase "aimed at the heart of poetic language"
suggests an image from the poet's daughter's album —

As It Were

Filed under: General — m759 @ 1:00 PM

A search for antimetaphoric  yields

"And I heard, as it were, the noise of thunder."

See also other instances of "As It Were" in this journal.

Saturday, January 3, 2015

Plato Thanks the Academy

Filed under: General — Tags: — m759 @ 9:00 PM


Click on the image for related material.

Trinity for Jews

Filed under: General — Tags: — m759 @ 2:08 PM

See also Interpenet-  in this  journal.

"Interpenetration, that's what I  say!"
— Adapted from Humpty Dumpty

Friday, January 2, 2015

Coincidentia Oppositorum

Filed under: General — m759 @ 2:00 PM

A sequel to New Year's Greeting from Franz Kafka:


From "Kafka and the Coincidence of Opposites," by
Dennis McCort, Syracuse University —

… my aim in the following pages is to identify and examine the particular dynamics of Kafka's mysticism through an analysis of this principle of the coincidence of opposites, first as a recurrent motif in his intellectual life, and then as a thematic and structural force in several key works of short fiction. Since the coincidentia, as the "abstract essence" of dialectical logic, may be said to subsume all experiential content, it becomes intrinsically more interesting as form than as content, and we will thus be examining a variety of Kafka's coincidentia-generated binaries (e.g., conscious/unconscious, freedom/bondage, wisdom/ignorance), first in a series of short parables and finally in two of the longer short fictions, "Die Verwandlung" [“The Metamorphosis”] and “Vor dem Gesetz” [“Before the Law”]. Moreover, since the coincidentia, understood in the German and other mystical traditions familiar to Kafka as the original Oneness of the pairs of opposites, is precisely what the human mind obscures as it conceptually bifurcates things in order to "get at them," we will be focusing especially on those relatively rare instances in Kafka's fiction in which the mind of the character or persona goes beyond its own intrinsic limits. This is in support of the case for Kafka's mystical insight as a mainspring of his literary creativity and, more generally, for Kafka as essentially a spiritual writer, convinced in the end of the human being's capacity to transcend, however remote the possibility, the suffering of separation built into his or her own dualistic consciousness.

Thursday, January 1, 2015

Empire State News

Filed under: General — m759 @ 8:45 PM

Fifteen for 2015

Filed under: General,Geometry — m759 @ 8:00 PM

The title refers to a set of fifteen Göpel tetrads
that form the lines of a Cremona-Richmond configuration .  

"Spiel ist nicht Spielerei. 
Es hat hohen Ernst 
und tiefe Bedeutung."

— Friedrich W.A. Fröbel

New Year’s Greeting from Franz Kafka

Filed under: General,Geometry — m759 @ 5:01 AM

An image that led off the year-end review yesterday in
the weblog of British combinatorialist Peter J. Cameron:

See also this  weblog's post final post of 2014,
with a rectangular array illustrating the six faces
of a die, and Cameron's reference yesterday to
a die-related post

"The things on my blog that seem to be
of continuing value are the expository
series like the one on the symmetric group
(the third post in this series was reblogged
by Gil Kalai last month, which gave it a new
lease of life)…."

A tale from an author of Prague:

The Emperor—so they say—has sent a message, directly from his death bed, to you alone, his pathetic subject, a tiny shadow which has taken refuge at the furthest distance from the imperial sun. He ordered the herald to kneel down beside his bed and whispered the message into his ear. He thought it was so important that he had the herald repeat it back to him. He confirmed the accuracy of the verbal message by nodding his head. And in front of the entire crowd of those who’ve come to witness his death—all the obstructing walls have been broken down and all the great ones of his empire are standing in a circle on the broad and high soaring flights of stairs—in front of all of them he dispatched his herald. The messenger started off at once, a powerful, tireless man. Sticking one arm out and then another, he makes his way through the crowd. If he runs into resistance, he points to his breast where there is a sign of the sun. So he moves forward easily, unlike anyone else. But the crowd is so huge; its dwelling places are infinite. If there were an open field, how he would fly along, and soon you would hear the marvelous pounding of his fist on your door. But instead of that, how futile are all his efforts. He is still forcing his way through the private rooms of the innermost palace. He will never he win his way through. And if he did manage that, nothing would have been achieved. He would have to fight his way down the steps, and, if he managed to do that, nothing would have been achieved. He would have to stride through the courtyards, and after the courtyards the second palace encircling the first, and, then again, stairs and courtyards, and then, once again, a palace, and so on for thousands of years. And if he finally did burst through the outermost door—but that can never, never happen—the royal capital city, the centre of the world, is still there in front of him, piled high and full of sediment. No one pushes his way through here, certainly not with a message from a dead man. But you sit at your window and dream of that message when evening comes.

See also a passage quoted in this  weblog on the original
date of Cameron's Prague image, July 26, 2014 —

"The philosopher Graham Harman is invested in
re-thinking the autonomy of objects and is part 
of a movement called Object-Oriented-Philosophy
(OOP)." — From “The Action of Things,” a 2011
M.A. thesis at the Center for Curatorial Studies,
Bard College, by Manuela Moscoso 

— in the context of a search here for the phrase
     "structure of the object." An image from that search:

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