Log24

Monday, September 9, 2024

A Narrative:  “Treating The New Yorker as a Laboratory”

Filed under: General — Tags: — m759 @ 1:42 pm

The homepage banner story from today's online New Yorker

Kirkenes at newyorker.com

See also Moynahan.

Sunday, September 8, 2024

Mathematics and Narrative: T. S. Eliot Meets Stephen King

Filed under: General — Tags: — m759 @ 5:36 am

… in posts tagged Kummer-Sept-2013.

Musical accompaniment suggested by
tonight's earlier Paradise Dreams

Tuesday, November 21, 2023

Mathematics and Narrative: Symmetry and the Snow Queen

Filed under: General — Tags: , — m759 @ 7:22 pm

The phrase "the mathematical concept of invariance of symmetry"
in the previous post suggests a Google search . . .

For those who prefer narrative to mathematics, the search result
"The Time Invariance of Snow" is not without interest.

See also "Snow Queen" in this  journal.

Wednesday, February 15, 2023

Mathematics and Narrative . . .

Filed under: General — Tags: — m759 @ 3:47 pm

Continues.
 

Mathematics:

From Log24 "Pyramid Game" posts —

The letter labels, but not the tetrahedron, are from Whitehead’s
The Axioms of Projective Geometry  (Cambridge U. Press, 1906), page 13.
 

Narrative:

Monday, January 9, 2023

Theology and Narrative

Filed under: General — m759 @ 1:16 pm

The tortoise of the previous post suggests . . .

"Is it the good turtle soup
 or merely the mock?" 

Related material from the above
Toronto premiere date —

Solomon and the Ring.

Monday, December 19, 2022

Mathematics and Narrative, Continued . . .
“Apart from that, Mrs. Lincoln . . .”

Filed under: General — Tags: , , , , — m759 @ 3:50 am

   Midrash from Philip Pullman . . .

"The 1929 Einstein-Carmichael Expedition"

    I prefer the 1929 Emch-Carmichael expedition —

This is from . . .

“By far the most important structure in design theory
is the Steiner system S(5, 8, 24).”

— “Block Designs,” by Andries E. Brouwer
(Ch. 14 (pp. 693-746) of Handbook of Combinatorics,
Vol. I, MIT Press, 1995, edited by Ronald L. Graham,
Martin Grötschel, and László Lovász, Section 16 (p. 716))

Wednesday, July 27, 2022

The Narratives Nutshell

Filed under: General — Tags: — m759 @ 3:07 pm

Related literary notes — On April 28 The New York Times
reported a death from the above date (Tuesday, April 26, 2022).
See a followup in the Times  today on "New York literary royalty."

Monday, July 25, 2022

Narratives in the Multiverse of Madness

Filed under: General — Tags: , , — m759 @ 3:53 am

Modernism, Fiction and Mathematics
by Nina Engelhardt
(Edinburgh Critical Studies in Modernist Culture)

From a review by Johann A. Makowsky in
Notices of the American Mathematical Society,
November 2020, pp. 1589-1595 —

"Engelhardt’s goal in this study is to put the interplay
between fiction and mathematical conceptualizations
of the world into its historical context. She sees her work
as a beginning for further studies on the role of mathematics,
not only modern, in fiction in the wider field of literature and
science. It is fair to say that in her book Nina Engelhardt does
succeed in giving us an inspiring tour d’horizon of this interplay."

Another such tour —


 

On the title of Westworld Season 4 Episode 5, "Zhuangzi" —

A song for Teddy: "Across my dreams, with nets of wonder . . ."

See Zhuangzi also in the 2022 Black Rock CIty manifesto, "Waking Dreams" . . . 

Monday, July 11, 2022

Narrative Templates

Filed under: General — Tags: — m759 @ 10:44 pm

The above title is from a July 1 review by Brent Simon of
the recent film "Code Name: Banshee."

Example of a narrative template —

The "He's a mad scientist and I'm his beautiful daughter" plot,
as in "Ant-Man" (2015) and in . . .

Plot twist —

Thursday, April 28, 2022

The Usual Narratives … Dog Bites Man, Shit Hits Fan.

Filed under: General — Tags: — m759 @ 4:04 pm

"It was a bright cold day in April . . ."

 

Thursday, March 24, 2022

Mathematics and Narrative: Solomon vs. the Wicked Queen

Filed under: General — m759 @ 5:19 pm

"Solomon Golomb’s classic book Shift Register Sequences,
published in 1967—based on his work in the 1950s—
went out of print long ago. But its content lives on. . . ."

For part of that content, see Stencils .

A :Log24 post from the date of Golomb's death —

See as well other posts on Mathematics and Narrative.

Thursday, September 16, 2021

Narrative* vs. Mathematics**

Filed under: General — Tags: , — m759 @ 1:37 pm

Examples of Narrative:

Example of Mathematics:

From the month — November 1985 — in the second example above —

* Addicts of narrative might consult "Friends of Nemo."

** See Mathematics + Narrative in this journal and . . .

"As the chaos grew . . . ." —

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Sunday, March 21, 2021

Mathematics and Narrative: The Unity

Filed under: General — Tags: , , , — m759 @ 10:25 pm

“To conquer, three boxes* have to synchronize and join together into the Unity.”

―Wonder Woman in Zack Snyder’s Justice League

See also The Unity of Combinatorics  and The Miracle Octad Generator.

* Cf.  Aitchison’s Octads

Sunday, September 27, 2020

Narratives

Filed under: General — Tags: , — m759 @ 2:00 am

Monday, May 25, 2020

Mathematics and Narrative

Filed under: General — Tags: , — m759 @ 3:08 am

Mathematics:  This journal on September 1, 2011 —
Posts tagged September Morn.

Narrative:  Also on September 1, 2011 —

See as well  Nabokov’s Magic Carpet.

Monday, March 16, 2020

Mathematics and Narrative* Continues:

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

Expanding the Spielraum

Mathematics:  See Tetrahedron vs. Square in this journal
(Notes on two different models of schoolgirl space ).

Narrative:  Replacing the square  from the above posts by
a related cube 

… yields a merchandising inspiration

Dueling Holocrons: 

Jedi Cube vs. Sith Tetrahedron

.

* See also earlier posts on Mathematics and Narrative.

Wednesday, October 23, 2019

Art-Historical Narrative*

Filed under: General — Tags: , — m759 @ 9:25 pm

"Leonardo was something like what we now call a Conceptual artist,
maybe the original one.   Ideas —  experiments, theories —  were
creative ends in themselves."

— Holland Cotter in the online New York TImes  this evening

From other Log24 posts tagged Tetrahedron vs. Square —

* Phrase from the previous post, "Overarching Narrative."

Overarching Narrative

Filed under: General — Tags: , — m759 @ 8:13 pm

In memory of a retired co-director of Galerie St. Etienne
who reportedly died on October 17 . . .

"It is difficult to mount encyclopedic exhibitions
without an overarching art-historical narrative…."

—  Jane Kallir, director of Galerie St. Etienne, in
https://www.tabletmag.com/jewish-arts-and-culture/
visual-art-and-design/269564/the-end-of-middle-class-art

An overarching narrative from the above death date

See as well the previous post 
and "Dancing at Lughnasa."

Tuesday, August 6, 2019

Mathematics and Narrative:  The Crosswicks Curse Continues.

Filed under: General — m759 @ 7:03 pm

"There is  such a thing as a desktop."

— Saying adapted from a 1962 young-adult novel.

Saturday, March 16, 2019

Multifaceted Narrative

Filed under: General — Tags: , , — m759 @ 2:40 pm

"Here, modernism is defined as an autonomous body
of ideas, having little or no outward reference, placing
considerable emphasis on formal aspects of the work
and maintaining a complicated—indeed, anxious—
rather than a naïve relationship with the day-to-day
world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based
group that has a high sense of the seriousness and
value of what it is trying to achieve. This brisk definition…."

— Jeremy Gray, Plato's Ghost: The Modernist
Transformation of Mathematics
 , Princeton, 2008 

"Even as the dominant modernist narrative was being written,
there were art historians who recognized that it was inaccurate.
The narrative was too focused on France . . . . Nor was it
correct to build the narrative so exclusively around formalism;
modernism was far messier, far more multifaceted than that."

— Jane Kallir, https://www.tabletmag.com/
jewish-arts-and-culture/visual-art-and-design/
269564/the-end-of-middle-class-art

quoted here on the above date — Sept. 11, 2018.
 

From some related Log24 posts

Monday, March 11, 2019

Overarching Metanarratives

Filed under: General — Tags: — m759 @ 4:15 am

See also "Overarching + Tesseract" in this  journal. From the results
of that search, some context for the "inscape" of the previous post —

Anticommuting Dirac matrices as spreads of projective lines

Ron Shaw on the 15 lines of the classical generalized quadrangle W(2), a general linear complex in PG(3,2)

Sunday, January 13, 2019

The Clifford Narrative

Filed under: General — Tags: — m759 @ 3:17 am

See also Clifford in this  journal, in particular 
The Matrix for Quantum Mystics 
(Log24, St. Andrew's Day, 2017).

Thursday, November 15, 2018

Mathematics and Narrative

Filed under: General,Geometry — m759 @ 9:08 pm

Mathematics —

See (for instance) a research group at Ghent University.

For those who prefer narrative . . .

See also . . .

Tuesday, September 11, 2018

Art-Historical Narrative

Filed under: General — Tags: , , — m759 @ 2:40 pm

Art history from Galerie St. Etienne

Summer Solstice Notes

Wednesday, September 5, 2018

Multifaceted Narrative

Filed under: General,Geometry — Tags: — m759 @ 8:19 pm

http://www.log24.com/log/pix18/180905-To_build_the_narrative-Galerie_St_Etienne.gif

http://www.log24.com/log/pix18/180905-Messier-Objects.gif

See also, in this  journal, 23-cycle.

Update of Sept. 6, 2018, 9:05 AM ET:  "The Cubist Method"

Multifaceted narrative by James Joyce —

http://www.log24.com/log/pix18/180819-Joyce-Possible_Permutations-Cambridge_Companion-2004-p168.gif

Multifaceted structures in pure mathematics, from Plato and R. T. Curtis  —

Counting symmetries with the orbit-stabilizer theorem

Sunday, August 26, 2018

Mathematics and Narrative: Queensland

Filed under: General — Tags: — m759 @ 3:56 am

Mathematics —

http://www.log24.com/log/pix18/180826-Cameron-on-U_of_Queensland-slide-500w.jpg

Narrative —

http://www.log24.com/log/pix18/180826-Huntsman-Winters-War-Billboard-Art-500w.jpg

See also other recent posts tagged Queensland.

Thursday, August 16, 2018

Mathematics and Narrative

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

(Continued)

Mathematics:

Alperin, Groups and Representations, p. 61

Narrative:

The Tale of the Flux Capacitor

Monday, July 2, 2018

A Mykonos* Narrative …

Filed under: General — m759 @ 1:00 pm

For Cady Heron

"Why you gotta be so mean?" — Taylor Swift
 

* See references to that Greek island in this journal.

Wednesday, February 28, 2018

Mathematics and Narrative

Filed under: General,Geometry — Tags: — m759 @ 9:00 am

(Continued)

Excerpts from a post of May 25, 2005 —

Above is an example I like of mathematics….

Here is an example I like of narrative:

Kate felt quite dizzy. She didn't know exactly what it was
that had just happened, but she felt pretty damn  certain  that
it  was  the  sort of experience that her mother would not have
approved of on a first date.
     "Is this all part of what we have to do to go to  Asgard?"
she said. "Or are you just fooling around?"
     "We will go to Asgard...now," he said.
     At that moment he raised his hand as if to pluck an apple,
but instead of plucking he made a tiny, sharp turning movement.
The effect  was as if he had twisted the entire world through a
billionth part of a billionth  part  of  a  degree.  Everything
shifted,  was  for  a  moment  minutely  out of focus, and then
snapped back again as a suddenly different world.

— Douglas Adams, The Long Dark Tea-Time of the Soul

Image from a different  different world —

Hat-tip to a related Feb. 26 weblog post
at the American Mathematical Society.

Monday, December 4, 2017

In the Service of Narrative

Filed under: General — m759 @ 12:00 am

See also posts tagged May 19 Gestalt.

Wednesday, September 6, 2017

Narrative

Filed under: General — m759 @ 2:00 pm

In memory of weather buff Stephen Fybish,
who reportedly died at 80 on August 30.

The Eye of Harvey meets the Eye of Shangri-La

   

Today's New York Times  on Fybish

"Winter was his favorite season. He liked to taste the snow,
'since that’s one of the purer forms of water that we’re likely
to encounter here in the Big Apple,' he said."

— Sam Roberts

Monday, August 28, 2017

Narratives

Filed under: General — m759 @ 3:00 pm

See Captain America's special  breakfast
in posts tagged Aesthetic Distance.

See as well Taylor Swift in the previous post and
The School of the New York Times on creating
great branded content:

Friday, May 19, 2017

In the Service of Narrative

Filed under: General — Tags: — m759 @ 12:40 pm

Quoted here on St. Stephen's Day, 2008

“Wayne C. Booth’s lifelong
 study of the art of rhetoric
 illuminated the means
 by which authors seduce,
 cajole and lie to their readers
 in the service of narrative.”

— New York Times, Oct. 11, 2005

Booth was a native of American Fork, Utah.

Friday, March 17, 2017

Narrative for Westworld

Filed under: General,Geometry — Tags: , — m759 @ 12:12 pm

“That corpse you planted
          last year in your garden,
  Has it begun to sprout?
          Will it bloom this year?  
  Or has the sudden frost
          disturbed its bed?”

— T. S. Eliot, “The Waste Land

Coxeter exhuming Geometry

Ball and Coxeter, 'Mathematical Recreations,' Twelfth Edition

Click the book for a video.

Monday, February 20, 2017

Mathematics and Narrative

Filed under: General,Geometry — Tags: , , — m759 @ 2:40 pm

Mathematics —

Hudson's parametrization of the
4×4 square, published in 1905:

A later parametrization, from this date in 1986:

http://www.log24.com/log/pix11/110220-relativprob.jpg

A note from later in 1986 shows the equivalence of these
two parametrizations:

Narrative —

Posts tagged Memory-History-Geometry.

The mathematically challenged may prefer the narrative of the
Creation Matrix from the religion of the Transformers:

"According to religious legend, the core of the Matrix
was created from Solomus, the god of wisdom,
trapped in the form of a crystal by Mortilus, the god
of death. Following the defeat of Mortilus, Solomus
managed to transform his crystal prison into the Matrix—
a conduit for the energies of Primus, who had himself
transformed into the life-giving computer Vector Sigma."

Tuesday, August 16, 2016

Midnight Narrative

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

The images in the previous post do not lend themselves
to any straightforward narrative. Two portions of the
large image search are, however, suggestive —


Boulez and Boole      and

Cross and Boolean lattice.

The improvised cross in the second pair of images
is perhaps being wielded to counteract the
Boole of the first pair of images. See the heading
of the webpage that is the source of the lattice
diagram toward which the cross is directed —

Update of 10 am on August 16, 2016 —

See also Atiyah on the theology of
(Boolean) algebra vs. (Galois) geometry:

Wednesday, August 10, 2016

Narratives

Filed under: General,Geometry — m759 @ 1:00 pm

The novel Blood on Snow , set in Oslo, was published
by Knopf on April 7, 2015.  This journal on that date —

Log24 on Tuesday, April 7, 2015

Logic

Filed under: Uncategorized — m759 @ 7:00 PM 

Seven years ago in this journal —

The above links:  the Stone,  the rules.

A related image —

Sunday, July 10, 2016

But Is It Good for the Narrative?

Filed under: General — m759 @ 9:00 pm

Continued from June 8, 2016.

Saturday, July 2, 2016

Frozen Narrative

Filed under: General — Tags: — m759 @ 10:45 am

A book by Northrop Frye pictured in the previous post
suggests a Log24 search for "The Great Code."

That search yields

See as well Ice 9 and Plan 9.

"Icy white and crystalline"
— Johnny Mercer

Wednesday, June 8, 2016

But is it good for the narrative?

Filed under: General — m759 @ 4:16 am

Jews on Style  continues

From a Washington Post  obituary  this morning —

"For the past 30 years, while teaching at New York University’s
law school, Dr. Bruner explored the idea of storytelling as a
fundamental way of understanding the nature of the world
around us. He believed that the choices we make in telling
stories 'become so habitual that they finally become recipes
for structuring experience itself, for laying down routes into
memory,' he said in 1987.

'This is a mode of cognition,' Gardner said, 'at least as
important as STEM' — the science, technology, engineering
and mathematics model of instruction that has gained
currency in recent years.

'He made narrative a form of thinking,' Gardner added.

Jerome Seymour Bruner was born Oct. 1, 1915,
in New York City to Jewish immigrants from Eastern Europe."

Related material —

Wednesday, June 1, 2016

Mathematics and Narrative

Filed under: General — Tags: , — m759 @ 12:06 pm

Principles before Personalities — AA  Saying .

Principles —

See Schoolgirl Problem in Wikipedia.

Personalities — 

See Alexandra Alter in the May 26 online New York Times :

"With the proliferation of 'girl' titles,
there are signs that the trend may have peaked;
it already seems ripe for parody." 

Update of 12:40 PM ET on Wednesday, June 1, 2016 —

A note for the Church of Synchronology 
See a post from this  journal on the date of the Alter piece, May 26:

(Click image for the rest of the post .)

Sunday, January 10, 2016

Sunday Morning Narrative

Filed under: General — m759 @ 7:20 am

Madeleine L'Engle meets Captain America —

This is from a Jan. 27, 2012, post on mathematics and narrative.

Related literary criticism by the late Florence King —

"Given all the historical personages the author whistles in,
one more won't hurt. Nicolas Boileau, the 17th-century
French literary critic, gave writers a piece of advice that
Ms. Neville could use: 'Make not your tale of accidents
too full / too much variety will make it dull / Achilles' rage
alone, when wrought with skill /Abundantly does a whole
"Iliad" fill.' "

NY Times  review of The Eight , a novel by Katherine Neville

Friday, June 5, 2015

Narratives

Filed under: General,Geometry — Tags: — m759 @ 11:09 pm

.

See also Snow White Dance.

For those who prefer mathematics to narrative:

Object of Beauty.

Wednesday, May 6, 2015

Narrative Metaphysics

Filed under: General — m759 @ 11:01 pm

(Continued from Dec. 13, 2014.)

David Lavery's enthusiasm today for the Marvel Comics
"Infinity Stones" suggests a review of The Foundation Stone
mentioned in the post Narrative Metaphysics of 12/13/2014.

See as well "Many Dimensions" in this journal.

Saturday, December 13, 2014

Narrative Metaphysics

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

From "Guardians of the Galaxy" —

"Then the Universe exploded into existence…"

For those who prefer a more traditional approach :

See also Symplectic Structure and Stevens's Rock.

Wednesday, November 26, 2014

Mathematics and Narrative

Filed under: General,Geometry — Tags: — m759 @ 10:00 pm

Mathematics:  Galois-Plane Models.

Narrative: "The Dreaming Jewels."

Monday, November 10, 2014

Narrative Line

Filed under: General,Geometry — Tags: , , — m759 @ 11:02 pm

"We live entirely, especially if we are writers, by the imposition
of a narrative line upon 
disparate images…." — Joan Didion

Narrative Line:

IMAGE- R. D. Carmichael's 1931 construction of the Steiner system S(5, 8, 24)

IMAGE- Harvard senior Jeremy Booher in 2010 discusses Carmichael's 1931 construction of S(5, 8, 24) without mentioning Carmichael.

Disparate images:

Exercise:

Can the above narrative line be imposed in any sensible way
upon the above disparate images?

Friday, October 17, 2014

Mathematics and Narrative, continued:

Filed under: General — Tags: , — m759 @ 2:01 pm

Raiders of the Lost Archetype

“… an unexpected development: the discovery of a lost archetype….”

— “The Lost Theorem,” by Lee Sallows, Mathematical Intelligencer, Fall 1997

Related material:

A scene from the 1954 film:

A check of this  journal on the above MetaFilter date — Jan. 24, 2012 —
yields a post tagged “in1954.”  From another post with that tag:

Medal of 9/15/06

Backstory:  Posts tagged Root Circle.

Monday, October 13, 2014

Mathematics and Narrative, continued

Filed under: General — m759 @ 2:03 pm

For those who prefer drama to mathematics:

See also Magic + Flute in this journal.

Tuesday, March 25, 2014

Narrative and Mathematics

Filed under: General — Tags: — m759 @ 1:01 am

(Continued)

"Richard Hughes’s celebrated short novel is
a masterpiece of concentrated narrative."

New York Review of Books  on
     A High Wind in Jamaica

As perhaps were, in their way, parts of the life
of the late Patrice Wymore Flynn, who reportedly
died at 87 on Saturday.

Deep backstory:  See Colony of Santiago (Jamaica).

For the "mathematics" part of this post's title, see
Saturday's Log24 post on Kummer-surface terms
and a post of September 23, 2012.

Monday, March 17, 2014

Narratives

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

Or: The Confessions of Nat Tate

“A convincing lie is, in its own way, a tiny, perfect narrative.”
— William Boyd, “A Short History of the Short Story” (2006)

“A novel written in the first-person singular has certain powerful
narrative advantages, especially when it takes the form of a ‘confession.'”
— William Boyd, “Memoir of a Plagiarist” (1994)

IMAGE- 'Siri Hustvedt Interview: Fakes and Fiction'

IMAGE- 'Siri Hustvedt Interview: Fakes and Fiction'

From a Log24 post yesterday —

For Little Man Tate —

IMAGE- Wechsler block-design cubes and related WAIS-R manual

Related material — Wechsler in this journal and an earlier Siri Hustvedt
art novel, from 2003 —

Mark and Lucille, Bill and Violet, Al and Regina, etc., etc., etc. —

IMAGE- Siri Hustvedt on the name 'Wechsler' in 'What I Loved'

Saturday, September 21, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , , — m759 @ 1:00 am

Mathematics:

A review of posts from earlier this month —

Wednesday, September 4, 2013

Moonshine

Filed under: Uncategorized — m759 @ 4:00 PM

Unexpected connections between areas of mathematics
previously thought to be unrelated are sometimes referred
to as "moonshine."  An example—  the apparent connections
between parts of complex analysis and groups related to the
large Mathieu group M24. Some recent work on such apparent
connections, by Anne Taormina and Katrin Wendland, among
others (for instance, Miranda C.N. Cheng and John F.R. Duncan),
involves structures related to Kummer surfaces .
In a classic book, Kummer's Quartic Surface  (1905),
R.W.H.T. Hudson pictured a set of 140 structures, the 80
Rosenhain tetrads and the 60 Göpel tetrads, as 4-element
subsets of a 16-element 4×4 array.  It turns out that these
140 structures are the planes of the finite affine geometry
AG(4,2) of four dimensions over the two-element Galois field.
(See Diamond Theory in 1937.)

Thursday, September 5, 2013

Moonshine II

Filed under: Uncategorized — Tags:  — m759 @ 10:31 AM

(Continued from yesterday)

The foreword by Wolf Barth in the 1990 Cambridge U. Press
reissue of Hudson's 1905 classic Kummer's Quartic Surface
covers some of the material in yesterday's post Moonshine.

The distinction that Barth described in 1990 was also described, and illustrated,
in my 1986 note "Picturing the smallest projective 3-space."  The affine 4-space
over the the finite Galois field GF(2) that Barth describes was earlier described—
within a 4×4 array like that pictured by Hudson in 1905— in a 1979 American
Mathematical Society abstract, "Symmetry invariance in a diamond ring."

"The distinction between Rosenhain and Goepel tetrads
is nothing but the distinction between isotropic and
non-isotropic planes in this affine space over the finite field."

The 1990 paragraph of Barth quoted above may be viewed as a summary
of these facts, and also of my March 17, 2013, note "Rosenhain and Göpel
Tetrads in PG(3,2)
."

Narrative:

Aooo.

Happy birthday to Stephen King.

Friday, July 5, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , , , — m759 @ 6:01 pm

Short Story — (Click image for some details.)

IMAGE- Andries Brouwer and the Galois Tesseract

Parts of a longer story —

The Galois Tesseract and Priority.

Tuesday, May 21, 2013

Narratives…

Filed under: General — m759 @ 6:00 am

from yesterday— Bling Ring and Church Logic.

Related narratives— Get Quotes (source of image below)

as well as Helprin's Doors and Trickster.

Thursday, May 9, 2013

Mathematics and Narrative (continued)

Filed under: General — m759 @ 7:00 pm

"Why history?
Well, the essence of history  is story ,
and a good story is an end in itself."

— Barry Mazur, "History of Mathematics  as a tool,"
    February 17, 2013

This  journal on February 17, 2013:

FROM Christoph Waltz

Filed under: Uncategorized — m759 @ 12:12 AM 

"Currently in post-production": The Zero Theorem.

For Christoph Waltz

Filed under: Uncategorized — m759 @ 12:00 AM 

Raiders of the Lost Tesseract  continues…

SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's shock,' have we done him any harm?
MENO: I think not.

Torpedo… LOS!

IMAGE- Theodore Sturgeon, 1972 reviews of Del Rey's 'Pstalemate' and Le Guin's 'Lathe of Heaven'   

See also today's previous post.

Sunday, April 28, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , — m759 @ 11:30 am

See Snakes on a Projective Plane  by Andrew Spann (Sept. 26, 2006):

'Snakes on a Plane' cartoon

Click image for some related posts.

"…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.' "

— Fritz Leiber, Changewar , page 22

Saturday, April 13, 2013

Narrative

Filed under: General — m759 @ 6:16 pm

Two friends from Brooklyn —

"… both marveled at early Ingmar Bergman movies."

One of the friends' "humor was inspired by
surrealist painters and Franz Kafka."

Wikipedia

"Most of Marvel's fictional characters operate in
a single reality known as the Marvel Universe…."

This journal yesterday

    

Related material:  The Cosmic Cube.

Tuesday, March 19, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , , — m759 @ 10:18 am

Angels & Demons meet Hudson Hawk

Dan Brown's four-elements diamond in Angels & Demons :

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

The Leonardo Crystal from Hudson Hawk :

Hudson:

Mathematics may be used to relate (very loosely)
Dan Brown's fanciful diamond figure to the fanciful
Leonardo Crystal from Hudson Hawk 

"Giving himself a head rub, Hawk bears down on
the three oddly malleable objects. He TANGLES 
and BENDS and with a loud SNAP, puts them together,
forming the Crystal from the opening scene."

— A screenplay of Hudson Hawk

Happy birthday to Bruce Willis.

Thursday, February 7, 2013

Mathematics and Narrative, continued…

Filed under: General — Tags: — m759 @ 2:01 pm

Primes Are Forever

"If diamonds are a girl's best friend,
prime numbers are a mathematician's….

A Mersenne prime is of the form 2P-1,
where the variable P is itself a prime—
making the Mersenne an elite sort of prime,
a James Bond among spies."

— Anonymous author at
    Fox News, Feb. 5, 2013

The author notes that the smaller
Mersenne primes include 7.

Related Material

April 7, 2003:

April is Math Awareness Month.

This year's theme is "mathematics and art."

Mathematics and Art: Totentanz from Seventh Seal

Update of 2:56 PM Feb. 7:

See also Paul Bateman and, in this journal, the date of Bateman's death.

For mathematics rather than narrative, see (for instance)

.

Thursday, September 27, 2012

Mathematics and Narrative (continued)

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

In diamond-narrative news today…

IMAGE- Pink Panther actor dies at 95

"Among the low points of his career was his performance
in the disastrous 1985 remake of “King Solomon’s Mines….”

— David Belcher in today's online New York Times

Thursday, April 26, 2012

Narratives

Filed under: General — m759 @ 1:00 pm

Two narratives in memory of my seventh-grade
history teacher, who died on January 27, 2012—

1.  On the history of Liberia
     (subject of a paper I wrote in seventh grade), and

2.  Comic-book history (from the above date)

Friday, January 27, 2012

Narrative

Filed under: General — Tags: — m759 @ 12:21 pm

http://www.log24.com/log/pix10B/101113-Ono.gif

Notices of the American Mathematical Society

See also Rosetta Stone in this  journal.

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: — m759 @ 1:44 am

Princeton University Press on a book it will publish in March—

Circles Disturbed: The Interplay of Mathematics and Narrative

"Circles Disturbed  brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier— 'Don't disturb my circles'— words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds–stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities."

Timeline of the Marvel Cinematic Universe — Norway, March 1942

"The Red Skull finds the Tesseract, a cube of strange power,
said to be the jewel of Odin’s treasure room, in Tonsberg Norway.
 (Captain America: The First Avenger)"

Tesseracts Disturbed — (Click to enlarge)

Detail of Tesseracts Disturbed —

Narrative of the detail—

See Tesseract in this journal and Norway, May 2010

The Oslo Version and Annals of Conceptual Art.

"Oh, what a tangled web we weave…"

Tuesday, December 13, 2011

Mathematics and Narrative, continued

Filed under: General,Geometry — m759 @ 11:01 pm

Mathematics —

(Some background for the Galois tesseract )

(Click to enlarge)

http://www.log24.com/log/pix11C/111213-Edge-geometry-heptads-500w.jpg

Narrative

An essay on science and philosophy in the January 2012
Notices of the American Mathematical Society .

Note particularly the narrative explanation of the double-slit experiment—

"The assertion that elementary particles have
free will and follow Quality very closely leads to
some startling consequences. For instance, the
wave-particle duality paradox, in particular the baffling
results of the famous double slit experiment,
may now be reconsidered. In that experiment, first
conducted by Thomas Young at the beginning
of the nineteenth century, a point light source
illuminated a thin plate with two adjacent parallel
slits in it. The light passing through the slits
was projected on a screen behind the plate, and a
pattern of bright and dark bands on the screen was
observed. It was precisely the interference pattern
caused by the diffraction patterns of waves passing
through adjacent holes in an obstruction. However,
when the same experiment was carried out much
later, only this time with photons being shot at
the screen one at a time—the same interference
pattern resulted! But the Metaphysics of Quality
can offer an explanation: the photons each follow
Quality in their actions, and so either individually
or en masse (i.e., from a light source) will do the
same thing, that is, create the same interference
pattern on the screen."

This is from "a Ph.D. candidate in mathematics at the University of Calgary."
His essay is titled "A Perspective on Wigner’s 'Unreasonable Effectiveness
of Mathematics.'" It might better be titled "Ineffective Metaphysics."

Thursday, October 13, 2011

Mathematics and Narrative, continued

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

http://www.log24.com/log/pix11C/111013-FrodoAndRing.jpg

http://www.log24.com/log/pix11C/111013-OxfordMurdersPoster-300w.jpg

"I've got a little story you oughta know…."

Friday, September 2, 2011

Mathematics and Narrative (continued)

Filed under: General — m759 @ 11:00 am

IMAGE- Death on 10/10/10

See also this journal on October 10, 2010.

Friday, August 19, 2011

Convoluted Narrative

Filed under: General,Geometry — Tags: — m759 @ 9:29 pm

IMAGE- Chilean filmmaker Raul Ruiz died Friday, Aug. 19, 2011.  Known for 'convoluted narratives.'

Related material:  Duende meets Saturday Night Live

IMAGE- Imaginary novel, 'The Pinochet Sudoku,' from Saturday Night Live De Niro sketch

The "duende" link above leads to a post containing the following—

IMAGE- Excerpt from Dec. 11, 2006, post on Pinochet and the Escorial- where Lorca said 'geometry abuts with a dream.'

For the Sudoku part, see this afternoon's Geezer Puzzle and a comment
at Diamond Geezer's weblog this morning by combinatorialist Peter J. Cameron—

This reminds me of an incident a few years ago when Sir Michael Atiyah was interviewed by a journalist, who asked him what he thought of the Sudoku craze. Sir Michael replied that he was delighted to see so many people doing mathematics every day, and was taken to task by the journalist because "there is no mathematics in it: you don't add the numbers or anything".

 

Anyway, I consider this a mathematical puzzle; I even have some fancy words for it (a Graeco-Latin square with two disjoint diagonals and some entries prescribed). But don't let that scare anyone off trying the puzzle!

Thanks, DG: I put a link to it right away.

See also the Pope's schedule today.

Thursday, January 27, 2011

Mathematics and Narrative, continued…

Filed under: General,Geometry — m759 @ 10:30 am

Indiana Jones and the Magical Oracle

Mathematician Ken Ono in the December 2010 American Mathematical Society Notices

http://www.log24.com/log/pix10B/101113-Ono.gif

The "dying genius" here is Ramanujan, not Galois. The story now continues at the AMS website—

http://www.log24.com/log/pix11/110127-AMS-Ono-500w.jpg

      (Excerpt from Jan. 27 screenshot;
      the partitions story has been the top
      news item at the site all week.)

From a Jan. 20, 2011, Emory University press release —
"Finite formula found for partition numbers" —

"We found a function, that we call P, that is like a magical oracle," Ono says. "I can take any number, plug it into P, and instantly calculate the partitions of that number. P does not return gruesome numbers with infinitely many decimal places. It's the finite, algebraic formula that we have all been looking for."

For an introduction to the magical oracle, see a preprint, "Bruinier-Ono," at the American Institute of Mathematics website.

Ono also discussed the oracle in a video (see minute 25) recorded Jan. 21 and placed online today.

See as well "Exact formulas for the partition function?" at mathoverflow.net.

A Nov. 29, 2010, remark by Thomas Bloom on that page leads to a 2006 preprint by Ono and Kathrin Bringmann, "An Arithmetic Formula for the Partition Function*," that seems not unrelated to Ono's new "magical oracle" formula—

Click to enlarge

http://www.log24.com/log/pix11/110127-Preprints500w.jpg

The Bruinier-Ono paper does not mention the earlier Bringmann-Ono work.

(Both the 2011 Bruinier-Ono paper and the 2006 Bringmann-Ono paper mention their debt to a 2002 work by Zagier—  Don Zagier, "Traces of singular moduli," in Motives, Polylogarithms and Hodge theory, Part II  (Irvine, CA, 1998), International Press Lecture Series 3 (International Press, Somerville, MA, 2002),   pages 211-244.)

Some background for those who prefer mathematics to narrative
The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-Series ,
by Ken Ono, American Mathematical Society CBMS Series, 2004.

* Proc. Amer. Math. Soc. 135 (2007), 3507-3514.

Friday, January 14, 2011

Mathematics and Narrative continues…

Filed under: General — m759 @ 11:07 pm

From 6/22, 2010 —

http://www.log24.com/log/pix10A/100622-StoryStatements.gif

    I would argue that at least sometimes, lottery numbers may be regarded,
    according to Bernstein's definition, as story statements.

From 7/02, 2010 —

http://www.log24.com/log/pix10A/100702-Mariani-TheCup.gif

Monday, December 13, 2010

Mathematics and Narrative continued…

Filed under: General,Geometry — m759 @ 7:20 am

Apollo's 13: A Group Theory Narrative —

I. At Wikipedia —

http://www.log24.com/log/pix10B/101213-GroupTheory.jpg

II. Here —

See Cube Spaces and Cubist Geometries.

The 13 symmetry axes of the (Euclidean) cube–
exactly one axis for each pair of opposite
subcubes in the 27-part (Galois) 3×3×3 cube–

The 13 symmetry axes of the cube

A note from 1985 describing group actions on a 3×3 plane array—

http://www.log24.com/log/pix10A/100621-VisualizingDetail.gif

Undated software by Ed Pegg Jr. displays
group actions on a 3×3×3 cube that extend the
3×3 group actions from 1985 described above—

Ed Pegg Jr.'s program at Wolfram demonstrating concepts of a 1985<br />
note by Cullinane

Pegg gives no reference to the 1985 work on group actions.

Wednesday, November 17, 2010

Church Narrative

Filed under: General,Geometry — Tags: — m759 @ 2:22 am

Thanks to David Lavery for the following dialogue on the word "narrative" in politics—

"It's like – does this fit into narrative?
It's like, wait, wait, what about a platform? What about, like, ideas?
What about, you know, these truths we hold to be self-evident?
No, it's the narrative."

"Is narrative a fancy word for spin?"

Related material —

Church Logic (Log24, October 29) —

  What sort of geometry
    is the following?

IMAGE- The four-point, six-line geometry

 

"What about, you know, these truths we hold to be self-evident?"

Some background from Cambridge University Press in 1976 —

http://www.log24.com/log/pix10B/101117-CameronIntro2.jpg

Commentary —

The Church Logic post argues that Cameron's implicit definition of "non-Euclidean" is incorrect.

The four-point, six-line geometry has as lines "all subsets of the point set" which have cardinality 2.

It clearly satisfies Euclid's parallel postulate.  Is it, then, not  non-Euclidean?

That would, according to the principle of the excluded middle (cf. Church), make it Euclidean.

A definition from Wikipedia that is still essentially the same as it was when written on July 14, 2003

"Finite geometry describes any geometric system that has only a finite number of points. Euclidean geometry, for example, is not finite, because a Euclidean line contains infinitely many points…."

This definition would seem to imply that a finite geometry (such as the four-point geometry above) should be called non -Euclidean whether or not  it violates Euclid's parallel postulate. (The definition's author, unlike many at Wikipedia, is not  anonymous.)

See also the rest  of Little Gidding.

Friday, October 15, 2010

Mathematics and Narrative, continued

Filed under: General — Tags: — m759 @ 6:29 am
 

The Story of N

http://www.log24.com/log/pix09/090109-Stories.jpg

Roberta Smith in the New York Times  of July 7, 2006

Art Review

Endgame Art? It's Borrow, Sample and Multiply in an Exhibition at Bard College

"… The show has an endgame, end-time mood, as if we are looking at the end of the end of the end of Pop, hyperrealism and appropriation art. The techniques of replication and copying have become so meticulous that they are beside the point. This is truly magic realism: the kind you can't see, that has to be explained. It is also a time when artists cultivate hybridism and multiplicity and disdain stylistic coherence, in keeping with the fashionable interest in collectivity, lack of ego, the fluidity of individual identity. But too often these avoidance tactics eliminate the thread of a personal sensibility or focus.

I would call all these strategies fear of form, which can be parsed as fear of materials, of working with the hands in an overt way and of originality. Most of all originality. Can we just say it? This far from Andy Warhol and Duchamp, the dismissal of originality is perhaps the oldest ploy in the postmodern playbook. To call yourself an artist at all is by definition to announce a faith, however unacknowledged, in some form of originality, first for yourself, second, perhaps, for the rest of us.

Fear of form above all means fear of compression— of an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible. With a few exceptions, forms of collage and assemblage dominate this show: the putting together (or simply putting side by side) of existing images and objects prevails. The consistency of this technique in two and three dimensions should have been a red flag for the curators. Collage has driven much art since the late 1970's. Lately, and especially in this exhibition, it often seems to have become so distended and pulled apart that its components have become virtually autonomous and unrelated, which brings us back to square one. This is most obvious in the large installations of graphic works whose individual parts gain impact and meaning from juxtaposition but are in fact considered distinct artworks."

Margaret Atwood on art and the trickster

"The pleasures of fabulation, the charming and playful lie— this line of thought leads Hyde* to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning 'to join,' 'to fit,' and 'to make.'  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart."

* Lewis Hyde, Trickster Makes This World: Mischief, Myth, and Art,  Farrar Straus & Giroux, January 1998

Smith mentions "an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible."

Atwood mentions "a seamless whole."

For some related remarks, see "A Study in Art Education" and the central figure pictured above. (There "N" can stand for "number," "nine," or "narrative.")

Friday, August 27, 2010

Mathematics and Narrative continued…

Filed under: General — m759 @ 5:01 pm

Narrative Sequence

In today's New York Times, Michiko Kakutani reviews a summer thriller by Kevin Guilfoile.  The Thousand  is in the manner of Dan Brown's 2003 The Da Vinci Code  or of Katherine Neville's 1988 The Eight .

From the review—

What connects these disparate events, it turns out, is a sinister organization called the Thousand, made up of followers of the ancient Greek mathematician and philosopher Pythagoras (yes, the same Pythagoras associated with the triangle theorem that we learned in school).

As Mr. Guilfoile describes it, this organization is part Skull and Bones, part Masonic lodge, part something much more twisted and nefarious….

The plot involves, in part,

… an eccentric artist’s mysterious masterwork, made up of thousands of individually painted tiles that may cohere into an important message….

Not unlike the tiles in the Diamond Theory cover (see yesterday's post) or, more aptly, the entries in this journal.

http://www.log24.com/log/pix10B/100827-GuilfoileTiles2.jpg

Saturday, July 17, 2010

Mathematics and Narrative continued

Filed under: General — m759 @ 12:00 pm

"List, list, O, list!"
Hamlet's father's ghost

"Ordering and patterning are not wholly narrative activities."
James E. Giles, 1986

"See also… the true  story 0, 1, 2, 3…" 
Log24, January 9, 2009

  For some non-narrative patterning of this list, see (for instance)
         Apostol's Modular Functions and Dirichlet Series in Number Theory.

Tuesday, July 13, 2010

Mathematics and Narrative, continued

Filed under: General — m759 @ 9:29 am

Image-- 'A Story to End All Stories,' by Ramanujan

     Friday, January 9, 2009

Tuesday, June 22, 2010

Mathematics and Narrative, continued

Filed under: General,Geometry — Tags: , — m759 @ 2:14 pm

"By groping toward the light we are made to realize
 how deep the darkness is around us."
  — Arthur Koestler, The Call Girls: A Tragi-Comedy,
      Random House, 1973, page 118

A 1973 review of Koestler's book—

"Koestler's 'call girls,' summoned here and there
 by this university and that foundation
 to perform their expert tricks, are the butts
 of some chilling satire."

Examples of Light—

Felix Christian Klein (1849- June 22, 1925) and Évariste Galois (1811-1832)

Klein on Galois—

"… in France just about 1830 a new star of undreamt-of brilliance— or rather a meteor, soon to be extinguished— lighted the sky of pure mathematics: Évariste Galois."

— Felix Klein, Development of Mathematics in the 19th Century, translated by Michael Ackerman. Brookline, Mass., Math Sci Press, 1979. Page 80.

"… um 1830 herum in Frankreich als ein neuer Stern von ungeahntem Glanze am Himmel der reinen Mathematik aufleuchtet, um freilich, einem Meteor gleich, sehr bald zu verlöschen: Évariste Galois."

— Felix Klein, Vorlesungen Über Die Entwicklung Der Mathematick Im 19. Jahrhundert. New York, Chelsea Publishing Co., 1967. (Vol. I, originally published in Berlin in 1926.) Page 88.

Examples of Darkness—

Martin Gardner on Galois—

"Galois was a thoroughly obnoxious nerd,
 suffering from what today would be called
 a 'personality disorder.'  His anger was
 paranoid and unremitting."

Gardner was reviewing a recent book about Galois by one Amir Alexander.

Alexander himself has written some reviews relevant to the Koestler book above.

See Alexander on—

The 2005 Mykonos conference on Mathematics and Narrative

A series of workshops at Banff International Research Station for Mathematical Innovation between 2003 and 2006. "The meetings brought together professional mathematicians (and other mathematical scientists) with authors, poets, artists, playwrights, and film-makers to work together on mathematically-inspired literary works."

Saturday, May 15, 2010

Mathematics and Narrative continued…

Filed under: General,Geometry — Tags: — m759 @ 4:16 pm

Step Two

Image-- 'Then a miracle occurs' cartoon
Cartoon by S.Harris

Image-- Google search on 'miracle octad'-- top 3 results

Thursday, May 6, 2010

Mathematics and Narrative, continued…

Filed under: General — Tags: , — m759 @ 5:01 am

The Unfolding

A post for Florencio Campomanes,
former president of the World Chess Federation.

Campomanes died at 83 in the Philippines
at 1:30 PM local time (1:30 AM Manhattan time)
on Monday, May 3, 2010.

From this journal on the date of his death —

"There is such a thing as a tesseract."
Madeleine L'Engle

Image by Christopher Thomas at Wikipedia
Unfolding of a hypercube and of a cube —

http://www.log24.com/log/pix10A/100506-Hcube_fold.gif

Image--Chess game from 'The Seventh Seal'

Related material from a story of the Philippines —

Image-- Alex Garland on how a hypercube unfolds to what he calls a tesseract

Tuesday, May 4, 2010

Mathematics and Narrative, continued

Filed under: General,Geometry — Tags: , , — m759 @ 8:28 pm

Romancing the
Non-Euclidean Hyperspace

Backstory
Mere Geometry, Types of Ambiguity,
Dream Time, and Diamond Theory, 1937

The cast of 1937's 'King Solomon's Mines' goes back to the future

For the 1937 grid, see Diamond Theory, 1937.

The grid is, as Mere Geometry points out, a non-Euclidean hyperspace.

For the diamonds of 2010, see Galois Geometry and Solomon’s Cube.

Monday, April 12, 2010

Mathematics and Narrative, continued

Filed under: General — m759 @ 8:00 pm

Saturday's post quoted a mathematical narrative with the following opening sentence–

"Let G  be a finite, primitive subgroup of GL(V) = GL(n,D),
where V  is an n-dimensional vector space over the division ring D."

If that narrative were a novel, its opening might win a Bulwer-Lytton prize.

As might the opening of another nonfiction narrative

"What are we are doing?"

A partial answer to this profound metaphysical question
for fans of the classic film "Dark City"
(which was written in part by one "Lem Dobbs")–

Part I — Fiction —

Wednesday August 4, 2004

Filed under: Uncategorized — m759 @ 12:29 AM

Shell Beach

“It was a dark and stormy night….”

– Opening of A Wrinkle in Time, a classic novel by Madeleine L’Engle.

For those who seek religious significance in the name of Hurricane Alex:

Alex Proyas directs this futuristic thriller about a man waking up to find he is wanted for brutal murders he doesn’t remember. Haunted by mysterious beings who stop time and alter reality, he seeks to unravel the riddle of his identity.”

– Description of the 1998 film Dark City

[See also June 14, 2005.]


Part II — Nonfiction —

http://www.log24.com/log/pix10/100412-ShellBeachInn.jpg

http://www.shellbeachinn.com/

Part III — Fiction —

"The bench on which Dobbs was sitting
was not so good."

— B. Traven, opening sentence
of The Treasure of the Sierra Madre

Monday, March 8, 2010

Mathematics and Narrative continued

Filed under: General — m759 @ 9:29 am

The Magic Lyre


NY Times epiphany, morning of March 8, 2010

(Click image for context.)

See also Saturday's post

Lyre illustrating a review of the novel 'Angelology' by Danielle Trussoni

as well as Solemn Dance
   and Mazur at Delphi.

(This last is apparently based on
a talk given by Barry Mazur at Delphi
in 2007 and may or may not appear in
a book, Mathematics and Narrative,
to be published in 2010.)

Suggested tune for the lyre–

"Send me the pillow
  that you dream on,"

in memory of Hank Locklin,
who died on this date last year.
 

Saturday, November 14, 2009

Mathematics and Narrative, continued:

Filed under: General,Geometry — Tags: , , , , — m759 @ 10:10 pm

A graphic novel reviewed in the current Washington Post  features Alfred North Whitehead and Bertrand Russell–

Whitehead and Russell, 'Logicomix' page 181

Related material:

Whitehead on Fano's finite projective three-space:

"This is proved by the consideration of a three dimensional geometry in which there are only fifteen points."

The Axioms of Projective Geometry , Cambridge University Press, 1906

A related affine six-space:

Grey cube, 4x4x4

Further reading:

See Solomon's Cube and the link at the end of today's previous entry, then compare and contrast the above portraits of Whitehead and Russell with Charles Williams's portraits of Sir Giles Tumulty and Lord Arglay in the novel Many Dimensions .

"It was a dark and stormy night…."

Friday, November 15, 2024

Art Tales

Filed under: General — Tags: , — m759 @ 7:53 am

From a search in this journal for Arkani-Hamed —

This post was suggested by the title

"Visualizing a sacred city: London, art, and religion"

from today's 7 AM post.

Wednesday, October 9, 2024

The Blackboard Jungle Book …

Filed under: General — m759 @ 6:28 pm

Continues.

Ratan Naval Tata was born on Dec. 28, 1937, in Bombay, now Mumbai, during the British Raj. His family belonged to the Parsi religion, a small Zoroastrian community that originated in Persia, fled persecution by the Muslim majority there centuries ago and found refuge in India. Mr. Tata became a leader of that community.

New York Times  obituary on 9 October 2024

See also theta functions in this journal.

For those who prefer narratives to mathematics . . .

Tiger at the Fire Temple

Saturday, October 5, 2024

Inks for Inklings:
Red, Black, and Blue

Filed under: General — Tags: — m759 @ 11:50 am

Red and black are accountants' colors. Blue, as in the above text
highlight, suggests Henry Miller and the keyhole of Opus Pistorum.

… And then there is Pullman, with his "Dust." Perhaps the most
appropriate color for Pullman's account is white , as in the following
photo annotation —

Some painters, not inkers, may enjoy studio background
music from Dusty Springfield's album "White Heat."

Tuesday, September 24, 2024

Design Workshop

Filed under: General — Tags: — m759 @ 12:01 am

The New York Times  yesterday reported that Marxist theorist
Fredric Jameson died on Sunday. 

Related material from a search for Jameson in this  journal —

Rosalind Krauss in The Optical Unconscious
(MIT Press paperback, 1994):

For a presentation of the Klein Group, see Marc Barbut, "On the Meaning of the Word 'Structure' in Mathematics," in Introduction to Structuralism, ed. Michael Lane (New York: Basic Books, 1970). Claude Lévi-Strauss uses the Klein group in his analysis of the relation between Kwakiutl and Salish masks in The Way of the Masks, trans. Sylvia Modelski (Seattle: University of Washington Press, 1982), p. 125; and in relation to the Oedipus myth in "The Structural Analysis of Myth," Structural Anthropology, trans. Claire Jackobson [sic] and Brooke Grundfest Schoepf (New York: Basic Books, 1963). In a transformation of the Klein Group, A. J. Greimas has developed the semiotic square, which he describes as giving "a slightly different formulation to the same structure," in "The Interaction of Semiotic Constraints," On Meaning (Minneapolis: University of Minnesota Press, 1987), p. 50. Jameson uses the semiotic square in The Political Unconscious (see pp. 167, 254, 256, 277) [Fredric Jameson, The Political Unconscious: Narrative as a Socially Symbolic Act (Ithaca: Cornell University Press, 1981)], as does Louis Marin in "Disneyland: A Degenerate Utopia," Glyph, no. 1 (1977), p. 64.

Sunday, September 22, 2024

Seattle Jam

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

CBS Sunday Morning today suggests a review of an old post featuring Pearl Jam. From that post . . .

Mathematics and Narrative, continued…

Out of What Chaos, a novel by Lee Oser

"This book is more or less what one would expect if Walker Percy wrote about a cynical rock musician who converts to Catholicism, and then Nabokov added some of his verbal pyrotechnics, and then Buster Keaton and the Marquis de Sade and Lionel Trilling inserted a few extra passages. It is a loving and yet appalled description of the underground music scene in the Pacific Northwest. And it is a convincing representation of someone very, very smart."

Matt Greenfield in The Valve

"If Evelyn Waugh had lived amid the American Northwest rock music scene, he might have written a book like this."

–Anonymous Amazon.com reviewer

A possible source for Oser's title–

"…Lytton Strachey described Pope's theme as 'civilization illumined by animosity; such was the passionate and complicated material from which he wove his patterns of balanced precision and polished clarity.' But out of what chaos did that clarity and precision come!"

Authors at Work, by  Herman W. Liebert and Robert H. Taylor, New York, Grolier Club, 1957, p. 16

Saturday, September 14, 2024

Notes on a Friday the 13th Death

Filed under: General — Tags: , , , — m759 @ 8:40 pm

A passage accessed via the new URL Starbrick.art*

Thursday, February 25, 2021

Compare and Contrast

Filed under: General — Tags: , ,
,
— m759 @ 12:31 pm

“… What is your dream—your ideal? 
What is your News from Nowhere, or, rather,
What is the result of the little shake your hand has given
to the old pasteboard toy with a dozen bits of colored glass
for contents? And, most important of all, can you present it
in a narrative or romance which will enable me to pass an
idle hour not disagreeably? How, for instance, does it compare
in this respect with other prophetic books on the shelf?”

— Hudson, W. H.. A Crystal Age , 1887.
Open Road Media, Kindle Edition, page 2.

A related cultural note suggested by the New York Times  obituary today
of fashion designer Mary McFadden, who reportedly died yesterday
(a Friday the Thirteenth) and is described by the Times  as a late-life
partner of "eightfold-way" physicist Murray Gell-Mann —

* A reference to the 2-column 4-row matrix (a "brick") that underlies
the patterns in the Miracle Octad Generator  of R. T. Curtis. The only
connection of this eight-part matrix to Gell-Mann's "Eightfold Way"
that I know of is simply the number 8 itself.

Friday, August 2, 2024

For Harlan Kane:  The Stevens Title

Filed under: General — m759 @ 6:00 am

Things of August*


Related narratives:

Related mathematics:

'Dreaming Jewels' from October 10, 1985

*

Thursday, June 27, 2024

Die Berliner Mitschrift

Filed under: General — Tags: , — m759 @ 4:29 pm

https://page.math.tu-berlin.de/~felsner/Lehre/DSI11/Mitschrift-EH.pdf

The above S (3,4,8)  is the foundation of the "happy family" of
subgroups of the Monster Group. See Griess and  . . .

Related narrative and art —

"Battles argues that 'the experience of the physicality
of the book is strongest in large libraries,' and stand
among the glass cube at the center of the British Library,
the stacks upon stacks in Harvard’s Widener Library, or
the domed portico of the Library of Congress and tell me
any differently."

— Ed Simon, Binding the Ghost: Theology, Mystery, and
the Transcendence of Literature. 
Hardcover – April 19, 2022.

Thursday, June 13, 2024

De la Mancha

Filed under: General — Tags: , — m759 @ 12:29 pm

Anil Gomes in London Review of Books  issue dated 20 June 2024 —

"The wish to pull narratives together into
a unified whole is often quixotic."

Steven H. Cullinane in Log24 , 8 June 2024 —

As for the LRB title's "tillosophy," a word coined by the dead academic
under review, see "boustrophedonic" in this  journal.

Tuesday, May 14, 2024

Shapes

Filed under: General — Tags: — m759 @ 4:16 pm

For those who prefer narrative to visual art . . .

" 'Everybody knows what a house does, how it encloses space
and makes connections between one enclosed space and another
and presents what is outside in a new way,' she wrote in a 1982 essay.
'That is the nearest I can come to explaining what a story is for me.' "

— Alice Munro's New York Times  obituary today.

Monday, April 22, 2024

Dimensions

Filed under: General — m759 @ 11:47 am

The dimensions of the "bricks" in the R. T. Curtis
"Miracle Octad Generator":  2×4.

For those who prefer narrative to mathematics . . .

Friday, March 29, 2024

Math for Tricksters: Deck Transformation

Filed under: General — m759 @ 4:13 am

From the above Baez essay

"And when the hero arrives, there should be
a little flourish of trumpets, like:

And now we come to a key player:
the group of deck transformations."

This remark and Baez's statement that

"Ideally the tricks I’m suggesting here
will be almost invisible…."

suggest a non-mathematical "deck transformation"
that some will prefer —

In the March 21 Netflix series "3 Body Problem,"
the deck of the ship Judgment Day is transformed
in a spectacular manner by an invisible  trick.

Sunday, February 18, 2024

History for Conspiracy Theorists (and Harlan Kane)

Filed under: General — Tags: — m759 @ 8:33 pm

The New York Times  this afternoon —

" William Beecher, who as a reporter for The New York Times
revealed President Richard M. Nixon’s secret bombing campaign
over Cambodia during the Vietnam War, and who later won a
Pulitzer Prize at The Boston Globe, died on Feb. 9 at his home
in Wilmington, N.C. He was 90." — Clay Risen, 2:28 PM

Also on Feb. 9 —

Another Beecher narrative —

Religious meditation from the Church of Synchronology . . .

Wednesday, December 13, 2023

Doodle Data

Filed under: General — Tags: — m759 @ 11:19 am

A search for Varda in this journal yields a passage from
a site called "saint-lucy.com" . . .

.

The European Film Academy award date above suggests a review

Narrative MetaphysicsLog24,  December 13, 2014.

Monday, December 11, 2023

Triangular Relationship at Mykonos

Filed under: General — m759 @ 9:50 pm

"The present article elaborates on a talk presented at the first
'Mathematics and Narrative' conference (Mykonos, July 12-15, 2005)."

— Leo Corry on his "Calculating the Limits of Poetic License"

"In this article I seek to clarify the role played by poetic license
in the triangular relationship involving mathematics, the history
of mathematics and mathematics in fiction."

— Leo Corry, https://www.tau.ac.il/~corry/publications/articles.html . . .


html/
pdf
"Calculating the Limits of Poetic License:
Fictional Narrative and the History of Mathematics",
Configurations 15 (3) (2007), 195-226. (German translation:
"Berechnungen zur Grenze der poetischen Freiheit:
Fiktionales Erzählen und die Geschichte der Mathematik",
in Andrea Albrecht et al (eds.) Zahlen, Zeichen und Figuren:
Mathematische Inspirationen in Kunst und Literatur
, Berlin:
De Gruyter (2011), pp. 564-599.)

See also tonight's previous post.

Friday, November 17, 2023

Classicism Continued: An Apotheosis of Modernity

Filed under: General — Tags: , — m759 @ 12:34 pm
 

From Chapter 23, "Poetry," by Adam Parkes, in
A Companion to Modernist Literature and Culture,
edited by David Bradshaw and Kevin J. H. Dettmar,
Blackwell Companions to Literature and Culture,
© 2006 by Blackwell Publishing Ltd.

Writing in 1910–11, the English poet and critic T. E. Hulme claimed that the two major traditions in poetry, romanticism and classicism, were as different as a well and a bucket. According to the romantic party, Hulme explained, humankind is “intrinsically good, spoilt by circumstance”; that is, our nature is “a well, a reservoir full of possibilities.” For the classical party, however, human nature is “like a bucket”; it is “intrinsically limited, but disciplined by order and tradition to something fairly decent” (Hulme 1987: 117). But it was not only that romanticism and classicism were as dissimilar as a well and a bucket; their contents were different, too. To draw water from the well of romanticism was, in effect, to pour a “pot of treacle over the dinner table,” while the classical bucket was more likely to be full of little stones – or jewels, perhaps. Romanticism, in Hulme’s view, was the result of displaced religious fervor; it represented the return of religious instincts that the “perverted rhetoric of Rationalism” had suppressed, so that “concepts that are right and proper in their own sphere are spread over, and so mess up, falsify and blur the clear outlines of human experience” (Hulme 1987: 118). Classicism, by contrast, traded in dry goods – dry, hard goods, to be precise.

Hulme left little doubt as to which side he was on. “It is essential to prove,” he argued, “that beauty may be in small, dry things. The great aim is accurate, precise and definite description. . . . I prophesy that a period of dry, hard, classical verse is coming” (Hulme 1987: 131–3). If by “dry, hard, classical verse” Hulme meant poems looking like the fragments of Sappho, he didn’t have to wait long to see his prophecy fulfilled.

The hard sand breaks,
and the grains of it
are clear as wine.

Far off over the leagues of it,
the wind,

228

playing on the wide shore,
piles little ridges,
and the great waves
break over it.

So wrote Hilda Doolittle in “Hermes of the Ways,” the first poem that she signed “H. D., Imagiste” at the behest of her fellow American expatriate Ezra Pound. From Pound’s perspective, the Imagist movement that he co-founded in 1912 with H. D. and the English poet Richard Aldington was finished well before the First World War began in August 1914; throughout this war-torn decade, however, Imagism continued to spawn the poetry of “small, dry things” whose coming Hulme had predicted a few years before.

Indeed, modernist poets weren’t content merely to break down the extended heroic narratives – the “spilt religion,” as Hulme put it – of their treacly nineteenthcentury predecessors; they insisted on breaking down small things into ever-smaller particles and subparticles. This logic of disintegration is clearly at work in poems like “Hermes of the Ways,” where each line is metrically unique, creating a sense of perpetual freshness – an apotheosis of modernity, as it were.

REFERENCE

Hulme, T. E. (1987). Speculations: Essays on Humanism and the Philosophy of Art, ed. Herbert Read. London and New York: Routledge and Kegan Paul. First published 1924.

Compare and contrast:

Jeremy Gray,
Plato's Ghost: The Modernist Transformation of Mathematics,
Princeton University Press, first edition Sept. 22, 2008

"Here, modernism is defined as an autonomous body of ideas,
having little or no outward reference, placing considerable emphasis
on formal aspects of the work and maintaining a complicated—
indeed, anxious— rather than a naïve relationship with the
day-to-day world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based group
that has a high sense of the seriousness and value of what it is
trying to achieve. This brisk definition…."

(Quoted at the webpage Solomon's Cube.)

Friday, November 3, 2023

“About Who”

Filed under: General — Tags: , — m759 @ 2:00 am

Loki  Season 2, Episode 5, minus spoilers . . .

"… then he learns to control his time slipping.
It's not about where, when, or why. It's about who."

Midrash for fans of narrative . . .

Sometimes tattoos are more useful than Post-It notes.

Wednesday, October 25, 2023

For Judy Chicago, Née Cohen

Filed under: General — Tags: , — m759 @ 2:03 pm

From the University of Chicago Press

The Nutshell:

    Related Narrative:

………………………………………………………………………………………………………..

 

Thursday, September 14, 2023

Cloud 9

Filed under: General — Tags: — m759 @ 7:45 am

Related narrative . . .

Wednesday, August 9, 2023

The Junction Function

Filed under: General — Tags: — m759 @ 12:27 pm

A function (in this case, a 1-to-1 correspondence) from finite geometry:

IMAGE- The natural symplectic polarity in PG(3,2), illustrating a symplectic structure

This correspondence between points and hyperplanes underlies
the symmetries discussed in the Cullinane diamond theorem.

Academics who prefer cartoon graveyards may consult …

Cohn, N. (2014). Narrative conjunction’s junction function:
A theoretical model of “additive” inference in visual narratives. 
Proceedings of the Annual Meeting of the Cognitive Science
Society
, 36. See https://escholarship.org/uc/item/2050s18m .

Friday, May 5, 2023

Inside Story

Filed under: General — m759 @ 5:23 am

The Bermuda Octahedron


Related narrative —

This post was suggested by the Möbius Dick  air date
August 4, 2011 — in this  journal.

Monday, May 1, 2023

A Word for Isadore Singer:  Snaith

Filed under: General — Tags: , — m759 @ 7:39 pm

Related narrative:   Bosch by Snaith .  See also . . .

Neil Welliver, great American painter, father of Titus Welliver 

Titus Welliver Says "Losing His Way" Led Him Back to Painting

Monday, April 24, 2023

Lemonade

Filed under: General — m759 @ 4:42 pm
 

레몬타워

 

Related narrative: Bosch by Snaith.

Friday, March 31, 2023

Inflection Points and Doing It

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

Nima Arkani-Hamed, as quoted by Peter Woit yesterday —

"I think the subject has not been so exciting for many, many decades, and at the same time our ability to experimentally address and solidly settle some of these very big questions has never been more uncertain. I don’t think it’s a normal time, it’s an inflection point in the history of the development of our subject, and it requires urgency… The confluence of the technical expertise for doing so and the enthusiasm amongst the young people who are willing to do it exists now and I very much doubt it will exist in 10 or 15 years from now. If we are going to do it, we have to start thinking about doing it now."

See as well an inflection-point-related post in this  journal —

True Grid: "Rosetta Stone" as a Metaphor
in Mathematical Narratives
 .

Friday, February 3, 2023

Rhyme Time

Filed under: General — Tags: , — m759 @ 2:16 pm

From Wednesday, St. Bridget's Day, 2023

Galois Additions of Space Partitions

Poetic meditation from The New Yorker  today

"If the tendency of rhyme, like that of desire,
is to pull distant things together
and force their boundaries to blur,
then the countervailing force in this book,
the one that makes it go, is the impulse
toward narrative, toward making sense of
the passage of time."

Tuesday, January 31, 2023

The Object Subject

Filed under: General — Tags: , , — m759 @ 11:36 am

"The literary attack on the concept of a remembered self
comes principally from three directions:

(1) the brokenness of memory,

(2) the difficulty of affirming that all memories pertain to
the same self; and

(3) the impossibility of pretending that a subject is an object.

All three of these attacks tend to dissolve the self, to expose it
as fictitious, artificial, quaintly contrived."

The late Daniel Albright

"Literary and Psychological Models of the Self,” pp. 19 – 40 in
Neisser, U., & Fivush, R. (Eds.) (1994). The Remembering Self:
Construction and Accuracy in the Self-Narrative
  (Emory Symposia
in Cognition). Cambridge: Cambridge University Press.

See also The Thing and I.

Wednesday, January 25, 2023

In Memory of an Author* Who Died on Wednesday, Jan. 18

"He played with history and narrative techniques." — Obituary headline

* See his New York Times  obituary, online today —

Sunday, January 22, 2023

The Stillwell Dichotomies

Number Space
Arithmetic  Geometry
Discrete  Continuous

Related literature —

IMAGE- History of Mathematics in a Nutshell

Bourbaki on arithmetic and geometry

From a "Finite Fields in 1956" post —

The Nutshell:

    Related Narrative:

Wednesday, September 21, 2022

Heist Flick

Filed under: General — m759 @ 2:04 am

"A good public narrative can, at the best of times,
transform an art theft into a lucky break for the gallery."

The Walrus , Sept. 1, 2022 

From a search in this  journal for Goya —

Monday, June 20, 2022

John Baez: Grothendieck in Hanoi

Filed under: General — m759 @ 6:38 pm

Related quotations —

"So we beat on, boats against the current…." — F. Scott Fitzgerald

"There grows a tree in Paradise…." — Joan Baez

Related narrative — River of Death.

Sunday, June 12, 2022

Piercing the Twelve*

Filed under: General — m759 @ 10:26 am

From "When Novelists Become Cubists," by Andre Furlani—

"The architectonics of a narrative," Davenport says,
"are emphasized and given a role to play in dramatic effect
when novelists become Cubists; that is, when they see
the possibilities of making a hieroglyph, a coherent symbol,
an ideogram of the total work. A symbol comes into being
when an artist sees that it is the only way to get all the meaning in." 

* See "Starlight Like Intuition" by Delmore Schwartz.
The "Twelve" of the title may be regarded as cube edges.

 

Saturday, June 4, 2022

Spectral Valhalla … Continues.

Filed under: General — m759 @ 9:33 am

C. S. Lewis on myth —

"The stories I am thinking of always have a very simple narrative shape—
a satisfactory and inevitable shape, like a good vase or a tulip."

The image and quote are from posts tagged Spectral Valhalla.

Thursday, June 2, 2022

The Separatrix: 6/2

Filed under: General — Tags: , , , — m759 @ 12:00 am

    Mathematics and Narrative continues . . .

   The Mystic Equation

 "6/2 = 3" 
           as 
 Holy Seed:

Sylvester's Synthemes at Harvard

Friday, May 27, 2022

Plan 9 from Disney

Filed under: General — m759 @ 3:00 am

 "With the Tablet of Ahkmenrah and the Cube of Rubik,
my power will know no bounds!"
— Kahmunrah in a novelization of Night at the Museum:
Battle of the Smithsonian , Barron's Educational Series

Scholium

Abstracting from narrative to structure, and from structure
to pure number, the Tablet of Ahkmenrah represents the
number 9 and the Cube of Rubik represents the number 27.

Returning from pure abstract numbers to concrete representations,
9 yields the structures in Log24 posts tagged Triangle.graphics,
and 27 yields a Galois  cube .

Tuesday, May 17, 2022

As If Searching . . .

Filed under: General — Tags: , , — m759 @ 10:11 pm

'As if searching for prisms of light'quote

See also . . .

http://m759.net/wordpress/?s=Prism .

Further searching, on the wider Web, yields . . .

"Blair has multiple sclerosis, a condition Didion shared."
— Susan Burton, review of Mean Baby , NY Times 15 May 2022

Another recent narrative about Didion and MS —

March 3rd, 2022

A Fraying Narrative:

Multiple Sclerosis, The White Album, and how Didion’s seminal work became—to one writer—a bible for losing one's mind.

by Emily Carmichael

Friday, March 25, 2022

The Diamantova Logo

Filed under: General — Tags: — m759 @ 1:46 pm

From the "Mathematics and Narrative" link in the previous post

An image reposted here on March 12, 2022, the reported date of death
for Vera Diamantova —

Helen Mirren with plastic Gankyil .

Wednesday, March 23, 2022

Watchmen Squid Game: Pronoun Trouble

Filed under: General — Tags: — m759 @ 8:05 am

"… Wade’s entire life is built around the squid attack. In the episode’s opening, we see that 34 years ago, young Wade was at a carnival in Hoboken, New Jersey, proselytizing as a Jehovah’s Witness when the squid emitted a psychic blast that killed three million people in the New York area. Just before the attack, a girl led him into a house of mirrors, feigning interest in hooking up with him in order to steal his clothes, leaving him naked and humiliated in the fairground attraction. But the cruel prank also saved his life, as mirrors can apparently repel the squid's psychic blast."

Related literary remarks —

"It may have been by chance, and it may have had the side effect of being easy to read, but this way of putting a novel together offered a bridge between the miniaturist in Doerr and the seeker of world-spanning connections. He could focus on the details of every piece in the narrative, but there was pleasure, too, in placing them against each other. Sometimes he would lay out all these micro chapters on the floor so he could see them and discover the resonances between characters across space and time.

'That’s the real joy,' Doerr said, 'the visceral pleasure that comes from taking these stories, these lives, and intersecting them, braiding them.'"

— "A version of this article appears in print on Sept. 20, 2021, Section C, Page 4 of the New York edition with the headline: Bringing His Readers To Higher Ground." 

Saturday, February 5, 2022

Hexagram 61 Revisited

Filed under: General — m759 @ 4:10 pm

The online New York Times  today  reporting a  Jan. 29 death:

"Mr. Dylan asked Mr. Lay to back him on the title track
of his album “Highway 61 Revisited.” In addition to
playing drums, Mr. Lay played a toy whistle on the song’s
memorable opening."
— Richard Sandomir, Feb. 5, 2022, 2:06 p.m. ET

The above link yields a March 11, 2019, YouTube upload:

Some may prefer the theology of Hexagram  61.

“‘Oracle, why did you write
The Grasshopper Lies Heavy?
What are we supposed to learn?'”

— Philip K. Dick

“She began throwing the coins.“

I Ching Hexagram 61: Inner Truth

Other remarks from the above
YouTube upload date — March 11, 2019 —

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