Log24

Friday, August 18, 2023

Core Values

Filed under: General — m759 @ 7:23 pm

From posts tagged The Drill Imperative

Related material —

Friday, July 7, 2023

CORE

Filed under: General — Tags: — m759 @ 2:10 pm

The "CORE" reference in the previous post yields, via a search . . .

Within this thesis there are 19 references to the name "Cullinane"
and to my own work, cited as . . .

Cullinane, Steven H., ‘The Diamond Theorem’ (1979)
<http://diamondtheorem.com>
[accessed 6 May 2019]

––– ‘Geometry of the I Ching’ (1989)
<http://finitegeometry.org/sc/64/iching.html
[accessed 6 May 2019].

Sunday, June 4, 2023

The Galois Core

Filed under: General — Tags: , — m759 @ 9:24 pm
 

  Rubik core:

 

Swarthmore Cube Project, 2008


Non- Rubik core:

Illustration for weblog post 'The Galois Core'

Central structure from a Galois plane

    (See image below.)

Some small Galois spaces (the Cullinane models)

Wednesday, November 16, 2022

Core

Filed under: General — Tags: , , — m759 @ 8:29 pm

Friday, August 12, 2022

Mathematical Games: The Common Core

Filed under: General — Tags: — m759 @ 8:17 am

'The Resort' S1E5 - Shapes Puzzle

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article  at Zoltan Dienes’s website

This quote is from a Log24 post of Feb. 6, 2014,
The Representation of Minus One.

Wednesday, May 25, 2022

Corefire Temple

Filed under: General — Tags: , — m759 @ 3:33 pm

The words in the above title were suggested by

  • the title, Corefires , of a novel by the late
    Colin Cantwell (see previous post).
  • the place-name Temple, Texas , in the gas station
    scene of "No Country for Old Men,"
  • Log24 posts on the fictional cinematic Fire Temple,
    and by
  • a folk etymology for the word "pyramid" —

Monday, August 16, 2021

In a Nutshell: The Core of Everything

Filed under: General — m759 @ 11:32 am

“The great Confucius guided China spiritually for over 2,000 years.
The main doctrine is ' 仁 ' pronounced 'ren', meaning two people,
i.e., human relationship. Modern science has been highly competitive.
I think an injection of the human element will make our subject more
healthy and enjoyable." 

Geometer Shiing-Shen Chern in a Wikipedia article

See the "ren" character in Wiktionary.  See as well . . .

"The development of ren  ( 仁 )  in early Chinese philosophy,"
By Robin Elliott Curtis, U. of B.C. Master's thesis, 2016

Thus, we can conclude that several different forms of
the character ren , were in existence during the
Warring States period. This shows that etymological analyses
focusing exclusively on the combination of 人 and 二 are inadequate.
It should also serve as a warning against “
character fetishization,”
or giving “exaggerated status to Chinese characters in the interpretation
of Chinese language, thought, and culture.” 46

46  Edward McDonald 2009, p. 1194.

McDonald, Edward. 2009. “Getting over the Walls of
Discourse: 'Character Fetishization' in Chinese Studies.”
The Journal of Asian Studies  68 (4): 1189 – 1213.

Wikipedia article on Ren  in Confucianism:

人 + 二  =  仁  (Rén)
man on left two on right,
the relationship between two human beings,
means co-humanity. Originally the character
was just written as丨二  [citation needed] 
representing yin yang,
the vertical line is yang
(bright, traditionally masculine, heaven, odd numbers),
the two horizontal lines are yin
(dark, traditionally feminine, earth, even numbers),
仁 is the core of everything. 

"The core of everything" . . . Citation needed ?

Monday, August 17, 2020

The Silence at the Core

Filed under: General — Tags: — m759 @ 10:19 pm

The title is a phrase by Robert Hughes from the previous post.

Saturday, August 10, 2019

Muse Score

Filed under: General — m759 @ 1:55 pm

Tuesday, April 2, 2019

The Core Experience

Filed under: General — m759 @ 3:21 pm

"It never occurred to me that someone could so explicitly reject
the core experience of something like Chartres."

— Christopher Alexander to Peter Eisenman, 1982

For a less dramatic core experience , see Hitchcock.

Thursday, September 28, 2017

Core

Filed under: General,Geometry — Tags: , — m759 @ 4:01 pm

From the New York Times Wire  last night —

"Mr. Hefner styled himself as an emblem
of the sexual revolution."

From a Log24 post on September 23 —

A different emblem related to other remarks in the above Sept. 23 post

On the wall— A Galois-geometry 'inscape'

(On the wall — a Galois-geometry inscape .)

Saturday, July 8, 2017

Common Core

Filed under: General — m759 @ 6:00 pm

Monday, April 3, 2017

Even Core

Filed under: General,Geometry — Tags: , — m759 @ 9:16 pm

4x4x4 gray cube

http://www.log24.com/log/pix11A/110625-CubeHypostases.gif

Odd Core

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

 

3x3x3 Galois cube, gray and white

Tuesday, December 13, 2016

Core

Filed under: General — Tags: — m759 @ 6:06 pm

More recently

Click the above image for some backstory.

Saturday, September 24, 2016

Core Structure

Filed under: General,Geometry — Tags: , — m759 @ 6:40 am

For the director of "Interstellar" and "Inception"

At the core of the 4x4x4 cube is …

 


                                                      Cover modified.

The Eightfold Cube

Wednesday, August 24, 2016

Core Statements

Filed under: General,Geometry — Tags: — m759 @ 1:06 pm

"That in which space itself is contained" — Wallace Stevens

An image by Steven H. Cullinane from April 1, 2013:

The large Desargues configuration of Euclidean 3-space can be 
mapped canonically to the 4×4 square of Galois geometry —

'Desargues via Rosenhain'- April 1, 2013- The large Desargues configuration mapped canonically to the 4x4 square

On an Auckland University of Technology thesis by Kate Cullinane —
On Kate Cullinane's book 'Sample Copy' - 'The core statement of this work...'
The thesis reportedly won an Art Directors Club award on April 5, 2013.

Friday, July 1, 2016

Transparent Core

Filed under: General — Tags: — m759 @ 2:28 pm

"At the point of convergence the play of similarities and differences
cancels itself out in order that identity alone may shine forth.
The illusion of motionlessness, the play of mirrors of the one:
identity is completely empty; it is a crystallization and
in its transparent core the movement of analogy begins all over
once again." — The Monkey Grammarian  by Octavio Paz,
translated by Helen Lane 

A more specific "transparent core" —

See all references to this figure
in this journal.

For a more specific "monkey grammarian," 
see W. Tecumseh Fitch in this journal.

Sunday, June 26, 2016

Common Core versus Central Structure

Filed under: General,Geometry — Tags: , — m759 @ 2:56 pm

Rubik's Cube Core Assembly — Swarthmore Cube Project, 2008 —

"Children of the Common Core" —

There is also a central structure within Solomon's  Cube

'Children of the Central Structure,' adapted from 'Children of the Damned'

For a more elaborate entertainment along these lines, see the recent film

"Midnight Special" —

Friday, June 12, 2015

Core

Filed under: General — m759 @ 12:00 am
 
Grindhouse Madonna ,
 
Children at your feet.

Thursday, April 9, 2015

Core Values

Filed under: General,Geometry — m759 @ 10:20 am

"Yankee Doodle went to London" — Song lyric

  November Man

Geometry was very important to us in this movie.”

— The Missing ART   (Log24, November 7th, 2014)

ART —

"Faculty Approve Theater Concentration, Affirmation
of Integrity" — Recent Harvard Crimson  headline

Thursday, February 5, 2015

Core Problem

Filed under: General — Tags: — m759 @ 9:48 am

(As opposed to "The Hard Problem")

Sharon Gaudin at computerworld.com
on artificial intelligence (AI) today—

"Google's [Geoffrey] Hinton said he's most excited
about gains in neural networks that would enable
computers to understand the content of sentences
and documents.

'That is close to the core of Google because
it involves understanding sentences, and if you can
understand what a document is saying, you can do
a much better search,' Hinton said. 'That's a core
AI problem. Can you read a document and know
what it's saying?'" 

Sometimes. How about you?

Tuesday, December 30, 2014

Core

Filed under: General — m759 @ 1:11 pm

JOSEFINE LYCHE
ABSOLUTE ALT. VOL. 2
17. april – 23. mai [2015] —

"I kjernen av mitt arbeid er en pågående
utforskning av esoteriske konsepter…."

"At the core of my work is an ongoing
exploration of esoteric concepts…."

See also 
http://issuu.com/tmrk/docs/spritenkunsthall_2015_cut .

Related material:  Hard Core.

Sunday, September 21, 2014

Uncommon Noncore

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

This post was suggested by Greg Gutfeld’s Sept. 4 remarks on Common Core math.

Problem: What is 9 + 6 ?

Here are two approaches suggested by illustrations of Desargues’s theorem.

Solution 1:

9 + 6 = 10 + 5,
as in Common Core (or, more simply, as in common sense), and
10 + 5 = 5 + 10 = 15 as in Veblen and Young:

Solution 2:

In the figure below,
9 + 6 = no. of  V’s + no. of  A’s + no. of C’s =
no. of nonempty squares = 16 – 1 = 15.
(Illustration from Feb. 10, 2014.)

The silly educationists’ “partner, anchor, decompose” jargon
discussed by Gutfeld was their attempt to explain “9 + 6 = 10 + 5.”

As he said of the jargon, “That’s not math, that’s the plot from ‘Silence of the Lambs.'”

Or from Richard, Frank, and Marcus in last night’s “Intruders”
(BBC America, 10 PM).

Saturday, July 5, 2014

Core Curriculum Vocabulary:

Filed under: General — Tags: — m759 @ 5:01 pm

Separatrix  and  Mulligan

An image from this journal on September 16, 2013:

Carey Mulligan as a separatrix

IMAGE- Kipnis on Derrida's 'separatrix'

Mulligan:

“A mulligan, in a game, happens when a player gets a second chance
to perform a certain move or action.” — Wikipedia

New York Times  obituary for Richard Mellon Scaife:

“He had the caricatured look of a jovial billionaire promoting ‘family values’
in America: a real-life Citizen Kane with red cheeks, white hair, blue eyes and
a wide smile for the cameras. Friends called him intuitive but not intellectual.
He told Vanity Fair  his favorite TV show was ‘The Simpsons,’ and his favorite
book was John O’Hara’s  Appointment in Samarra , about a rich young
Pennsylvanian bent on self-destruction.” — Robert D. McFadden

Click image below for some nuclear family values in memory of Scaife:

See also the previous post,
Core Curriculum.

Core Curriculum

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

This post was suggested by reviews of the David Hare play “Skylight” at
The New York Times , at WorldSocialism.org, and at ChicagoCritic.com.

 Vide  Atoms in the Family , by Laura Fermi, a book I read in high school.

Thursday, July 3, 2014

Core Mathematics: Arrays

Filed under: General — m759 @ 11:00 am

Mathematics vulgarizer Keith Devlin on July 1
posted an essay on Common Core math education.

His essay was based on a New York Times story from June 29,
Math Under Common Core Has Even Parents Stumbling.”

An image from that story:

The Times  gave no source, other than the photographer’s name,
for the above image.  Devlin said,

“… the image of a Common Core math worksheet
the Times  chose to illustrate its story showed
a very sensible, and deep use of dot diagrams,
to understand structure in arithmetic.”  

Devlin seems ignorant of the fact that there is
no such thing as a “Common Core math worksheet.”
The Core is a set of standards without  worksheets
(one of its failings).

Neither the Times  nor whoever filled out the worksheet
nor Devlin seemed to grasp that the image the Times  used
shows some multiplication word problems that are more
advanced than the topic that Devlin called the
“deep use of dot diagrams to understand structure in arithmetic.”

This Core topic is as follows:

For some worksheets that are  (purportedly) relevant, see,
for instance…

http://search.theeducationcenter.com/search/
_Common_Core_Label-2.OA.C.4–keywords-math_worksheets,
in particular the worksheet
http://www.theeducationcenter.com/editorial_content/multipli-city:

Some other exercises said to be related to standard 2.OA.C.4:

http://www.ixl.com/standards/
common-core/math/grade-2

The Common Core of course fails to provide materials for parents
that are easily findable on the Web and that give relevant background
for the above second-grade topic.  It leaves this crucial task up to
individual states and school districts, as well as to private enterprise.
This, and not the parents’ ignorance described in  Devlin’s snide remarks,
accounts for the frustration that the Times  story describes.

Friday, February 28, 2014

Score

Filed under: General — m759 @ 9:00 pm

"Once a verbal structure is read, and reread
often enough to be possessed, it 'freezes.'
It turns into a unity in which all parts exist at
once, without regard to the specific movement
of the narrative. We may compare it to the study
of a music score, where we can turn to any
part without regard to sequential performance."

— Northrop Frye in The Great Code

Astronaut Dale Gardner, shown retrieving a satellite, reportedly died at 65.

Gardner reportedly died at 65 on February 19.
A post linked to here on that date suggests some
musical remarks.

Saturday, May 11, 2013

Invariant Core

Filed under: General — m759 @ 11:00 pm

The title is from today's noon post, Core.

It also appears, quoted from Popovič, in Susan Bassnett's
Translation Studies  (third edition, Routledge, 2002)—

"It is an established fact in Translation Studies that if a dozen
translators tackle the same poem, they will produce a dozen
different versions. And yet somewhere in those dozen versions there
will be what Popovič calls the ‘invariant core’ of the original poem.
This invariant core, he claims, is represented by stable, basic and
constant semantic elements in the text, whose existence can be
proved by experimental semantic condensation. Transformations, or
variants, are those changes which do not modify the core of meaning
but influence the expressive form. In short, the invariant can be
defined as that which exists in common between all existing
translations of a single work. So the invariant is part of a dynamic
relationship and should not be confused with speculative arguments
about the ‘nature’, the ‘spirit’ or ‘soul’ of the text; the ‘indefinable
quality’ that translators are rarely supposed to be able to capture."

"A writer hopes to leave behind a work no one forgets…."

Song sung on NBC's Smash  tonight

Fulsere vere candidi mihi soles….

— André Weil, The Apprenticeship of a Mathematician

nam unguentum dabo, quod meae puellae
donarunt Veneres Cupidinesque….

Catullus, quoted in Bassnett's Translation Studies

http://www.log24.com/log/pix11C/111210-Wiig-Perfume.jpg

Vale puella, iam Catullus obdurat.

Core

Promotional description of a new book:

“Like Gödel, Escher, Bach  before it, Surfaces and Essences  will profoundly enrich our understanding of our own minds. By plunging the reader into an extraordinary variety of colorful situations involving language, thought, and memory, by revealing bit by bit the constantly churning cognitive mechanisms normally completely hidden from view, and by discovering in them one central, invariant core— the incessant, unconscious quest for strong analogical links to past experiences— this book puts forth a radical and deeply surprising new vision of the act of thinking.”

“Like Gödel, Escher, Bach  before it….”

Or like Metamagical Themas .

Rubik core:

Swarthmore Cube Project, 2008

Non- Rubik cores:

Of the odd  nxnxn cube:

Of the even  nxnxn cube:

The image “http://www.log24.com/theory/images/cube2x2x2.gif” cannot be displayed, because it contains errors.

Related material: The Eightfold Cube and

“A core component in the construction
is a 3-dimensional vector space  over F.”

—  Page 29 of “A twist in the M24 moonshine story,”
by Anne Taormina and Katrin Wendland.
(Submitted to the arXiv on 13 Mar 2013.)

Tuesday, March 19, 2024

Belgian Puzzle Art

Filed under: General — Tags: , , — m759 @ 3:33 pm

From the Belgian artist of the March 25 New Yorker  cover

'The Resort' S1E5 - Shapes Puzzle

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article  at Zoltan Dienes’s website

Saturday, March 9, 2024

Annals of Deceptive Fiction —
Dark Materials: Milton, Eliot, Pullman

For Pullman, see previous instances of "wilde abyss" in this journal.

For a less fictional approach to the abyss, see the following.

From T. S. Eliot and the Dynamic Imagination
by Sarah Kennedy,
Cambridge University Press, 2018 —

Chapter 7
His Dark Materials

Would you have me
False to my nature? Rather say, I play
The Man I am.

Shakespeare, Coriolanus, III.ii. [Link added.]

. . . .

Eliot describes the creative germ as the
‘unknown, dark psychic material . . .
with which the poet struggles’.

The phrase echoes Milton’s Paradise Lost :

Into this wilde Abyss,
The Womb of nature and perhaps her Grave,
Of neither Sea, nor Shore, nor Air, nor Fire,
But all these in their pregnant causes mixt
Confus’dly, and which thus must ever fight,
Unless th’ Almighty Maker them ordain
His dark materials to create more Worlds . . .

Eliot’s creative logic retains an aspect of the divine
poet-as-maker, but the effect is not hubristic.
Where Milton’s Almighty may ordain, Eliot’s poet
can only struggle against something unknown.
Yet even in the image of struggle, reminiscent of
Jacob’s struggle with the obscured figure who
appears in the darkness and departs at dawn,
there is a sense of the poet as more than human,
both blessed and maimed by the confrontation.
Like Milton, Eliot locates the struggle in a ‘wilde abyss’:
he once described human consciousness
(following The Tempest ) as extending into a
‘dark . . . backward and abysm of time’. Importantly,
this space is not an aspect of the world as constructed
by a presiding intention (as in Paradise Lost ), but exists
within the poet.
. . . .

"The phrase echoes Milton's Paradise Lost" —

In describing his  abyss, Milton invokes not "psychic material" but
rather the classical view of Nature as composed of the four elements
Water, Earth, Air and Fire.

Note that one source* of the "psychic material" phrase in Eliot's work
gives a rather different picture . . .

"And now I should like to return for a moment to Gottfried Benn
and his unknown, dark psychic material —
we might say, the octopus or angel with which the poet struggles."

* "The Three Voices of Poetry," by T. S. Eliot, The Atlantic, April 1954.

Related entertainment . . .

Taylor: “The Politics of Recognition”

Filed under: General — m759 @ 2:19 am

I found the above essay via the references cited in . . .

https://www.cambridge.org/core/journals/legal-studies/article/abs/
criminalising-deceptive-sex-sex-identity-and-recognition/
7A5589286B535E30B88A9765A5844CFC
.

Wednesday, February 14, 2024

Live Poet Society

Filed under: General — Tags: , — m759 @ 10:43 am

RHYMES  for Bergen Feb. 13-14, 2024   

one fun
two crew
three see
four core
five live
six tricks
seven heaven
eight gate
nine line

core    line    crew
see     live     heaven
gate    fun     tricks

Heaven's Gate

This post was suggested by the
"Night of Lunacy" post of May  5, 2013.

Friday, December 22, 2023

Wiki’d

Filed under: General — Tags: — m759 @ 11:14 am

Lewis Carroll's chess  Red Queen, from Through the Looking Glass,
is "often confused with" the playing cards  Queen of Hearts, 
from Alice in Wonderland

" The King turned pale, and shut his notebook hastily.
'Consider your verdict,' he said to the jury in a low, trembling voice….

. . . . 'No, no!' said the Queen. 'Sentence first—verdict afterward.' "

— Lewis Carroll, Alice in Wonderland

The figure at right in the video of today's previous post,
Peter Berck —

"In Alice in Wonderland , the Red Queen
does everything backwards—
she demands the punishment first, and then
the trial, and then the crime comes last of all.
Today, the Red Queen is everywhere."

College of Natural Resources commencement address,
May 12, 2018, University of California, Berkeley

Berck's address was titled "The Red Queen."
It would have had diminished rhetorical effect if
correctly  titled "The Queen of Hearts."

Berck's dies natalis — "birth into heaven," in Catholic parlance —
was reportedly August 10, 2018.  A Log24 synchronology check
yields a different chess-related figure Actor/director John Huston:

Thursday, October 12, 2023

Hot Snakes

Filed under: General — Tags: , — m759 @ 12:07 am

Update of 12:32 AM Oct. 12:

Metadata —

See also this  journal on October 16th, 2018 — Broomsday.

Saturday, August 26, 2023

For the Church of Synchronology

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

Art Blocks  in the previous post

"… making accessibility and IRL viewership a core component" . . .

From this  journal on the above art date — April 6, 2021 —

Tuesday, April 6, 2021

Annals of Educational Temptation:

Filed under: General — m759 @ 10:21 PM 

Ever Witch Way

Monday, August 14, 2023

Hometown Obituary

Filed under: General — m759 @ 1:30 pm

Wednesday, August 9, 2023

Waiting for the Low-Hanging Fruit

Filed under: General — Tags: , — m759 @ 9:23 pm

How many miles to Babylon?*
Three score miles and ten.
Can I get there by candle-light?**
Yes, and back again.

Mary Gaitskill's latest substack meditation —

"I am thinking of Susan Sontag, writer, philosopher,
political activist and some-time pain in the ass;
she went to Sarajevo during the siege in order to
put on a theatrical production of Waiting for Godot. 
She didn’t get paid and none of the actors did either.
They rehearsed in the dark and performed by sparse
candlelight . . . ."

"How many  bananas ?"

"Drei . . . or else Vier ."

See also the comedy writers of  Elsevier

Saturday, July 8, 2023

Blacklist Quote from S10 E20, “Arthur Hudson”

Filed under: General — m759 @ 2:05 pm

"I am what I am. You made a devil's bargain.
Did you really expect me to stop being the devil?"

Read more at: https://tvshowtranscripts.ourboard.org/
viewtopic.php?f=194&t=64076

See as well yesterday's post CORE and Faustus in this journal.

Friday, June 23, 2023

A Little Drama

Filed under: General — Tags: — m759 @ 9:04 pm

The broken pencil in a Dial  illustration of June 20 — 

"I could a tale unfold . . ." — Hamlet's father's ghost

"Thus the entire little drama, from crystallized carbon
and felled pine to this humble implement, to this
transparent thing, unfolds in a twinkle."

— Vladimir Nabokov, Transparent Things

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

See also this  journal on March 6, 2003, in a search for
Michelangelo Geometry.

Punchline of the above little drama —

"Try the other  end of the pencil, Liz."

Thursday, June 22, 2023

Unfolded Drama

Filed under: General — Tags: , , — m759 @ 11:14 am

"I could a tale unfold . . ." — Hamlet's father's ghost

"Thus the entire little drama, from crystallized carbon
and felled pine to this humble implement, to this
transparent thing, unfolds in a twinkle."

— Vladimir Nabokov, Transparent Things

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

Monday, June 19, 2023

The Original Portable Door

Filed under: General — Tags: , , — m759 @ 3:26 pm

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

Compare and contrast the "portable door" as a literary device
with the "tesseract" in A Wrinkle in Time  (1962).

See also this  journal on March 6, 2003.

Saturday, June 10, 2023

Green, Orange, Black

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

https://www.dailymail.co.uk/tvshowbiz/article-12179599/
Emma-Watson-stuns-revealing-black-bandeau-Prada.html

The colors surrounding Watson's body in the above
"bandeau" photo suggest a review.  A search in this  journal
for Green+Orange+Black  yields . . .

In the above image, the "hard core of objectivity" is represented
by the green-and-white eightfold cube.  The orange and black are,
of course, the Princeton colors.

Sunday, June 4, 2023

“Design is how it works.” — Steve Jobs

Filed under: General — Tags: — m759 @ 9:42 am

The Hitchcock Version

Sunday, May 28, 2023

Annals of Philosophy: Shadow Hacking

Filed under: General — Tags: — m759 @ 1:18 pm

In memory of philosopher Ian Hacking, who
reportedly died on May 10, some Log24 posts
are now tagged "Shadow Hacking."

Related material — Plato's Ghost  in this journal, and . . .

Monday, March 20, 2023

Location, Location, Location:  0047

Filed under: General — m759 @ 7:47 am
"The distinct emphasis on
  the politics of space
  constitutes 0047’s core and identity."
— http://0047.org/home/about-2/
     (link on "politics of space" added)

Related note for film fans —

I prefer the less stressful TV series “GLOW,” starring Alison Brie —

“In the bluish light emanating from the TV,
EE looked at him, her eyes veiled.”

— Being There , by Jerzy Kosinski

Thursday, March 2, 2023

For a Tim Burton Fan

Filed under: General — Tags: , — m759 @ 12:22 pm

Artist: Jose Ortiz

Friday, November 18, 2022

The Crimson Riddle

Filed under: General — Tags: — m759 @ 1:58 am

Wednesday's original New York Times headline reporting a Harvard death —

"Henry Rosovsky, Who Redefined
Harvard to Its Core, Dies at 95
"

Yesterday that headline was rewritten —

That revision suggests another . . .

An Old Riddle Made New: 
"What's black and white and crimson all over?"

Tuesday, September 13, 2022

A Helpful Survey of the Literature

Filed under: General — Tags: — m759 @ 9:39 pm

Some background for the exercise of 9/11

Vera Pless, "More on the uniqueness of the Golay codes,"
Discrete Mathematics 106/107 (1992) 391-398 —

"Several people [1-2,6] have shown that
any set of 212 binary vectors of length 24,
distance ≥ 8, containing 0, must be the
unique (up to equivalence) [24,12,8] Golay code." 

[1] P. Delsarte and J.M. Goethals, "Unrestricted codes
with the Golay parameters are unique
,"
Discrete Math. 12 (1975) 211-224.

[2] A. Neumeier, private communication, 1990.

[6] S.L. Snover, "The uniqueness of the
Nordstrom-Robinson and the Golay binary codes
,"
Ph.D. Thesis, Dept. of Mathematics, 
Michigan State Univ., 1973.

Related images —

"Before time began, there was the Cube."

              — Optimus Prime in 2007

      

"Remember, remember the fifth of November"

  — Hugo Weaving in 2005

Friday, September 2, 2022

History of Mathematics

Filed under: General — m759 @ 2:54 pm

Anne Duncan in 1968 on a 1960 paper by Robert Steinberg —


_______________________________________________________________________________

Related remarks in this  journal — Steinberg + Chevalley.

Related illustrations in this journal — 4×4.

Related biographical remarksSteinberg Deathdate.

Monday, August 22, 2022

Tuesday, June 21, 2022

For the Church of Synchronology*

Filed under: General — Tags: — m759 @ 12:30 pm

'The Klein Correspondence' at Cambridge University Press, in a 2009 book on Twistor Geometry

See also this journal on the above Cambridge U. Press date.

"There are many places one can read about twistors
and the mathematics that underlies them. One that
I can especially recommend is the book Twistor Geometry
and Field Theory
, by Ward and Wells."

— Peter Woit, "Not Even Wrong" weblog post, March 6, 2020.

* A fictional entity. See Synchronology in this journal.

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.

 

Wednesday, May 25, 2022

Cargo Cult

Filed under: General — Tags: — m759 @ 3:58 pm

From the Amazon.com description of Colin Cantwell's space novel Corefires

"Of the cargo, the data Crystals are the most important.
Necessary to life in space, they have to be protected at all costs."

Related merchandise — Disney Holocrons:

Monday, May 23, 2022

Center Field

Filed under: General — Tags: — m759 @ 12:15 am

This leads to . . .

Sunday, May 1, 2022

The Coming

Filed under: General — Tags: — m759 @ 11:15 am

"Edward Bulwer-Lytton (infamous author of the opening line,
'It was a dark and stormy night') was a Victorian-era writer.
In 1870, he published a science fiction novel, The Power of
the Coming Race,
 which describes an underground race of
superhuman angel-like creatures and their mysterious energy
force, Vril, an 'all-permeating fluid' of limitless power."

— From a source linked-to in the post Vril Chick.

"Credit where credit is due" . . .

Tuesday, February 8, 2022

Directions Out

Filed under: General — Tags: — m759 @ 12:46 am

On reading about DNA:

"Suddenly it was clear to me 
that all the beautiful complexity of life
had simplicity at its core," he says.
"This is the kind of thing mathematicians love." 

Eric Lander in "The 2004 TIME 100 — Our list
of the most influential people in the world today"

The date on the above TIME piece is Monday,
Apr. 26, 2004. Remarks in this  journal on that date
are now tagged Directions Out.

Monday, January 24, 2022

Aesthetics Lesson

Filed under: General — Tags: , , — m759 @ 5:00 pm

From Log24 on New Year's Eve 2021

Related aesthetics —

Sunday, January 23, 2022

Apperception for Newton

Filed under: General — Tags: — m759 @ 1:50 am

"So we beat on, boats against the current…"
The Great Gatsby

Thandie Newton in "Reminiscence" (2021) —

The above Screen Rant article is from August 20, 2021.

From that same date —

Friday, December 31, 2021

Aesthetics in Academia

Filed under: General — Tags: — m759 @ 9:33 am

Related art — The non-Rubik 3x3x3 cube —

The above structure illustrates the affine space of three dimensions
over the three-element finite (i.e., Galois) field, GF(3). Enthusiasts
of Judith Brown's nihilistic philosophy may note the "radiance" of the
13 axes of symmetry within the "central, structuring" subcube.

I prefer the radiance  (in the sense of Aquinas) of the central, structuring 
eightfold cube at the center of the affine space of six dimensions over
the two-element field GF(2).

Thursday, September 23, 2021

The Narrow Window

Filed under: General — Tags: , , — m759 @ 12:53 pm

 "Forever" by Labrinth (see below) is from the Euphoria score.

Sunday, September 5, 2021

Linguistics

Filed under: General — Tags: — m759 @ 4:39 pm

A Letterman introduction for Plato's Academy Awards:

"Cunning, Anna. Anna, Cunning." (Rimshot.)

But seriously . . .

"This work [of Wierzbicka and colleagues] has led to
a set of highly concrete proposals about a hypothesized
irreducible core of all human languages. This universal core
is believed to have a fully ‘language-like’ character in the sense
that it consists of a lexicon of semantic primitives together with
a syntax governing how the primitives can be combined
(Goddard, 1998)." — Wikipedia, Semantic Primes

Goddard C. (1998) — Bad arguments against semantic primitives. 
Theoretical Linguistics  24:129-156.

Related fiction . . . Lexicon , by Max Barry (2013).  See Barry in this  journal.

Tuesday, August 31, 2021

Summer Knowledge

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

The title is that of a book of poems by Delmore Schwartz.

From "Searching for God in the Next Apartment,"
by Stanley Moss, New York Times Book Review ,
Sunday, October 19, 1986 —

Throughout Schwartz's poetry a question of belief is central. He thought we could not live without an interpretation of the whole of life, and that modern social orders were inevitably deficient in satisfying this need. He wrote studies and poetry explicitly concerned with the decline of Christian belief and the impossibility of any belief whatsoever. He read Rimbaud's ''Season in Hell,'' Valery's ''Cimetiere Marin,'' Arnold's ''Dover Beach,'' Hardy's ''Oxen,'' Stevens' ''Sunday Morning'' as poems forged in just such a dilemma. His own preferred poem, ''Starlight Like Intuition Pierced the Twelve,'' continued this argument.

See also Log24 posts tagged Central Myth, and the following image:

Thursday, August 19, 2021

A Scalpel for Einstein

Filed under: General — Tags: , , — m759 @ 2:08 pm

(A sequel to this morning's post A Subtle Knife for Sean.)

Exhibit A —

Einstein in The Saturday Review, 1949

"In any case it was quite sufficient for me 
if I could peg proofs upon propositions
the validity of which did not seem to me to be dubious.
For example, I remember that an uncle told me
the Pythagorean theorem before the holy geometry booklet
had come into my hands. After much effort I succeeded
in 'proving' this theorem on the basis of the similarity
of triangles
;
in doing so it seemed to me 'evident' that
the relations of the sides of the right-angled triangles
would have to be completely determined by one of the
acute angles. Only something which did not in similar fashion
seem to be 'evident' appeared to me to be in need of any proof
at all. Also, the objects with which geometry deals seemed to
be of no different type than the objects of sensory perception,
'which can be seen and touched.' This primitive idea, which
probably also lies at the bottom of the well-known Kantian
problematic concerning the possibility of 'synthetic judgments
a priori' rests obviously upon the fact that the relation of
geometrical concepts to objects of direct experience
(rigid rod, finite interval, etc.) was unconsciously present."

Exhibit B —

Strogatz in The New Yorker, 2015

"Einstein, unfortunately, left no … record of his childhood proof.
In his Saturday Review essay, he described it in general terms,
mentioning only that it relied on 'the similarity of triangles.' 
The consensus among Einstein’s biographers is that he probably
discovered, on his own, a standard textbook proof in which similar
triangles (meaning triangles that are like photographic reductions
or enlargements of one another) do indeed play a starring role.
Walter Isaacson, Jeremy Bernstein, and Banesh Hoffman all come
to this deflating conclusion, and each of them describes the steps
that Einstein would have followed as he unwittingly reinvented
a well-known proof."

Exhibit C —

Schroeder in a book, 1991

Schroeder presents an elegant and memorable proof. He attributes
the proof to Einstein, citing purely hearsay evidence in a footnote.

The only other evidence for Einstein's connection with the proof
is his 1949 Saturday Review  remarks.  If Einstein did  come up with
the proof at age 11 and discuss it with others later, as Schroeder
claims, it seems he might have felt a certain pride and been more
specific in 1949, instead of merely mentioning the theorem in passing
before he discussed Kantian philosophy relating concepts to objects.

Strogatz says that . . .

"What we’re seeing here is a quintessential use of
a symmetry argument… scaling….

Throughout his career, Einstein would continue to
deploy symmetry arguments like a scalpel, getting to
the hidden heart of things." 

Connoisseurs of bullshit may prefer a faux-Chinese approach to
"the hidden heart of things." See Log24 on August 16, 2021 —

http://m759.net/wordpress/?p=96023 —
In a Nutshell: The Core of Everything .

Tuesday, July 20, 2021

Zen in Cuernavaca

Filed under: General — Tags: , , — m759 @ 2:05 pm

Also from Terebess

https://terebess.hu/zen/mesterek/dtsuzuki.html

From Larry A. Fader, “D. T. Suzuki's Contribution to the West,” 
in A Zen Life: D. T. Suzuki Remembered , ed. by Masao Abe, 
John Weatherhill, Inc., 1986, pp. 95–108 —

In contrast to Jung's approach is the humanistic psychology of Erich Fromm. Fromm was also influenced by Suzuki, but in different ways. Whereas Jung dealt with Zen Buddhism as an aspect of his psychological thought, Suzuki's influence touches closer to the core of Fromm's thought. Fromm organized an influential workshop on Zen Buddhism and psychoanalysis in Cuernavaca, Mexico, and incorporated many concepts which resemble Suzuki's interpretation of Zen into his psychoanalytic writings.

The Cuernavaca workshop of 1957, held at Fromm's Mexico home, brought together eminent psychologists expressly for the purpose of exploring Zen Buddhism and psychoanalysis. As such, it marks an important point of contact between thinkers in the field of psychology and D. T. Suzuki's interpretation of Zen. Suzuki addressed the gathering, and his speeches were later published as “Lectures in Zen Buddhism” together with Fromm's address entitled “Psychoanalysis and Zen Buddhism” and that of Richard DeMartino entitled “The Human Situation and Zen Buddhism,” in a volume which Fromm edited and called Zen Buddhism and Psychoanalysis.

Fromm organized the Mexico meeting and issued the invitations to its participants as a result of his feeling that psychotherapists—and in particular, psychoanalysts—were at that time “not just interested, but deeply concerned” with Zen. This “concern,” Fromm believed, was a new and potentially important development in the attitude of psychologists. His own address to the workshop, reformulated, as he says, because of “the stimulation of the conference,” includes language and ideas that may be traced to Dr. Suzuki's Cuernavaca lectures.

See as well Fromm and  Frère Jacques, Cuernavaca  in this  journal.

Saturday, April 24, 2021

23:13

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

“Hitchcock did.”

Related material from 10 years ago: 
See April 24, 2011.

Wednesday, April 14, 2021

Raiders of the Lost Coordinates . . .

Filed under: General — m759 @ 3:10 pm

Continues.

A pyramid scheme in memory of the late Bernie Madoff —

The above passage from Whitehead’s 1906 book suggests
that the tetrahedral model may be older than Polster thinks.*

This is shown by . . .

See also “Profzi Scheme.”

* For some related work of the above “D. Mesner,” see
Mesner, D. (1967). “Sets of Disjoint Lines in PG(3, q),”
Canadian Journal of Mathematics, 19, 273-280.

Saturday, March 13, 2021

Eternal Spark

Filed under: General — Tags: , — m759 @ 9:43 am

According to Lt. Col. Wayne M. McDonnell in June 1983 —

“… it is accurate to observe that when a person experiences
the out-of- body state he is, in fact, projecting that eternal spark
of consciousness and memory which constitutes the ultimate
source of his identity….”

— Section 27, “Consciousness in Perspective,” of
“Analysis and Assessment of Gateway Process.”

A related quotation —

“In truth, the physical AllSpark  is but a shell….”

https://tfwiki.net/wiki/AllSpark

From the post Ghost in the Shell  (Feb. 26, 2019) —

See also, from posts tagged Ogdoad Space

“Like the Valentinian Ogdoad— a self-creating theogonic system
of eight Aeons in four begetting pairs— the projected eightfold work
had an esoteric, gnostic quality; much of Frye’s formal interest lay in
the ‘schematosis’ and fearful symmetries of his own presentations.”

— From p. 61 of James C. Nohrnberg’s “The Master of the Myth
of Literature: An Interpenetrative Ogdoad for Northrop Frye,”
Comparative Literature , Vol. 53 No. 1, pp. 58-82, Duke University
Press (quarterlyJanuary 2001)

— as well as . . .

Related illustration from posts tagged with
the quilt term Yankee Puzzle

IMAGE- 'Yankee Puzzle' quilt block pattern on cover of Northrop Frye's 'Anatomy of Criticism'

Sunday, March 7, 2021

Cinema for Nutcrackers

Filed under: General — Tags: — m759 @ 2:55 pm

Tuesday, March 2, 2021

Iconic Reinvention

Filed under: General — m759 @ 12:52 am

But perhaps its most iconic reinvention came with the longstanding
Marlboro Man campaign, which ran from 1963 to 1971. In an article
by Denver Post journalist Jim Carrier, who spent six months traveling
across the American West to meet former Marlboro Men, we’re told
that the campaign began in late 1954, when ad exec Leo Burnett asked
his top creatives, ‘What is the most masculine image in the U.S. today?’

According to Carrier, ‘Philip Morris, the fourth-largest American tobacco
company, wanted to create a filter cigarette to deal with the rising problem
of smoker’s cough and lung disease. But they had to overcome the early
image of filters as being for sissies.'”

Related story from The New York Times  on Monday, March 1  —

Related flashback from this  journal on Sunday, February 28

Monday, December 28, 2020

Theology for the Wiener Kreis

Filed under: General — m759 @ 11:00 pm

The previous post suggests a look at The New Yorker  today

Another “core claim” —

Change arises from the structure of the object.

See also Wiener Kreis  and Schlick.

Thursday, December 24, 2020

Change Arises: A Literary Example

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

The “Change Arises” part of the title refers to the previous post.
The 1905 “geometric object” there, a 4×4 square, appeared earlier,
in 1869, in a paper by Camille Jordan. For that paper, and the
“literary example” of the title, see “Ici vient M. Jordan .”

This  post was suggested by the appearance of Jordan in today’s
memorial post for Peter M. Neumann by Peter J. Cameron.

Related remarks on Jordan and “geometrical objects” from 2016 —

These reflections are available from their author as a postprint.

Friday, November 13, 2020

Deep State, Deep Mind, Deep Structure

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

. . . .

In Weber’s hands, the professor and the politician
are not figures to be joined. Each remains a lonely hero
of heavy burden, sent to ride against his particular foe:
the overly structured institution of the modern mind,
the overly structured institution of the modern state.”

 

See also Chomsky in this  journal.

Thursday, October 1, 2020

Annals of Academia

Filed under: General — Tags: , — m759 @ 1:21 pm

New York  magazine's "The Cut" —

BAD SCIENCE
JULY 14, 2016

Why It Took Social Science Years to Correct a Simple Error
About ‘Psychoticism’

By Jesse Singal

"What should we make of all of this? Partly, of course, this is
a story of conflicting personalities, of competitiveness between
researchers, of academics acting — let’s be frank — like dicks."

Or, worse, like New York Times  reporter Benedict Carey —

A Theory About Conspiracy Theories

 

In a new study, psychologists tried to get a handle on the personality types that might be prone to outlandish beliefs.

By Benedict Carey, New York Times  science reporter,
on Sept. 28, 2020

. . . .

The personality features that were solidly linked to conspiracy beliefs included some usual suspects: entitlement, self-centered impulsivity, cold-heartedness (the confident injustice collector), elevated levels of depressive moods and anxiousness (the moody figure, confined by age or circumstance). Another one emerged from the questionnaire that aimed to assess personality disorders — a pattern of thinking called “psychoticism.”

Psychoticism is a core feature of so-called schizo-typal personality disorder, characterized in part by “odd beliefs and magical thinking” and “paranoid ideation.” In the language of psychiatry, it is a milder form of full-blown psychosis, the recurrent delusional state that characterizes schizophrenia. It’s a pattern of magical thinking that goes well beyond garden variety superstition and usually comes across socially as disjointed, uncanny or “off.”

In time, perhaps some scientist or therapist will try to slap a diagnosis on believers in Big Lie conspiracies that seem wildly out of line with reality. For now, Dr. Pennycook said, it is enough to know that, when distracted, people are far more likely to forward headlines and stories without vetting their sources much, if at all.
. . . .

Some elementary  fact-checking reveals that historical definitions
of "psychoticism" vary greatly. Carey forwards this bullshit without
vetting his sources much, if at all.

Monday, September 7, 2020

Remedial Reading

Filed under: General — m759 @ 1:14 am

'A Discovery of Witches' S1 E2 0:33:45

Hopkins at Hiroshima

See also Archimedes at Hiroshima
and, more generally, Aitchison.

Monday, June 8, 2020

Chariot Race

Filed under: General — Tags: — m759 @ 2:02 pm

“Mr. Lowery’s view that news organizations’  ‘core value
needs to be the truth, not the perception of objectivity,’
as he told me, has been winning in a series of battles,
many around how to cover race.”

— Ben Smith in the print New York Times  this morning

“Christ is truth.” — St. Gerard Manley Hopkins

See also The Diamond Chariot  in posts tagged September Samurai.

This post was suggested by a May 28 death —

Friday, May 8, 2020

Moon Song

Filed under: General — Tags: — m759 @ 12:36 pm

"Even when some parts of the show don’t feel like they’re working,
the production is always top notch and eye-popping. The score, too,
is top notch here, but it’s the use of Pink Floyd’s 'The Dark Side of
the Moon' that resonates most."

Kevin Lever on the Westworld  May 3 Season 3 finale

Image from Log24 posts tagged Spectral Valhalla

 

Monday, April 27, 2020

The Cracked Nut

Filed under: General — Tags: , , — m759 @ 1:25 pm

“At that instant he saw, in one blaze of light, an image of unutterable
conviction, the reason why the artist works and lives and has his being –
the reward he seeks –the only reward he really cares about, without which
there is nothing. It is to snare the spirits of mankind in nets of magic,
to make his life prevail through his creation, to wreak the vision of his life,
the rude and painful substance of his own experience, into the congruence
of blazing and enchanted images that are themselves the core of life, the
essential pattern whence all other things proceed, the kernel of eternity.”

— Thomas Wolfe, Of Time and the River

“… the stabiliser of an octad preserves the affine space structure on its
complement, and (from the construction) induces AGL(4,2) on it.
(It induces A8 on the octad, the kernel of this action being the translation
group of the affine space.)”

— Peter J. Cameron,
The Geometry of the Mathieu Groups (pdf)

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside…."

— Joseph Conrad in Heart of Darkness

Sunday, April 5, 2020

The Ghost in the Shell

Filed under: General — Tags: — m759 @ 10:57 am

Wednesday, March 11, 2020

Visualizing Mathieu Group Generators

Filed under: General — Tags: — m759 @ 6:23 am

Marston Conder's M24 generators are illustrated by Cullinane's diamond-theorem (2x2 case) figures.

Update of March 17, 2020 —

The graphic images illustrate nicely Conder's six 4-cycles, but
their relationship, if any, to his eight 2-cycles is a mystery —

The Conder paper is at 
https://core.ac.uk/download/pdf/82622574.pdf.

 
 

Saturday, February 22, 2020

Remembering Speechlessly

Filed under: General — Tags: , — m759 @ 1:54 pm

"Remembering speechlessly we seek
the great forgotten language . . . ."

— Thomas Wolfe 

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 


See also other posts now tagged Transparent Things.

Saturday, January 25, 2020

Forty-Seven

Filed under: General — Tags: — m759 @ 2:12 pm

Friday, January 24, 2020

Oettinger Quote

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

Quote Investigator on May 4, 2010* —

"QI  has traced the core of the quotation
to the work of an early researcher in
artificial intelligence, Anthony Oettinger,
who was trying to get a computer to
manipulate the English language."

See as well Oettinger in 1963.

"And that  was the state  of the  art."
— Adapted from Stephen Sondheim

* Cf.  this  journal on that date.

Lucido Dreaming

Filed under: General — Tags: , , , — m759 @ 12:51 pm

Anthony Powell's 'O, How the Wheel Becomes It!' along with Laertes' comment 'This nothing's more than matter.'

(From "Today's Sermon," Jan. 24, 2010.)

Thursday, January 2, 2020

Nada for Hemingway

Filed under: General — Tags: , — m759 @ 11:47 am

See Nada + Hemingway  in this journal.

'Inner Space' YouTube upload on March 15, 2014

The above upload date suggests a look at 
other posts now tagged Red to Green.

Friday, October 11, 2019

The Flynn Legacy

Filed under: General — Tags: — m759 @ 9:26 pm

TRON Legacy: back door

James R. Flynn (born in 1934), "is famous for his discovery of
the Flynn effect, the continued year-after-year increase of IQ
scores in all parts of the world."  —Wikipedia

His son Eugene Victor Flynn is a mathematician, co-author
of the following chapter on the Kummer surface— 

Sunday, September 22, 2019

Colorful Tale

Filed under: General — Tags: , , — m759 @ 7:59 pm

“Perhaps the philosophically most relevant feature of modern science
is the emergence of abstract symbolic structures as the hard core
of objectivity behind— as Eddington puts it— the colorful tale of
the subjective storyteller mind.”

— Hermann Weyl, Philosophy of  Mathematics and
    Natural Science 
, Princeton, 1949, p. 237

"The bond with reality is cut."

— Hans Freudenthal, 1962

Indeed it is.

From page 180, Logicomix — It was a dark and stormy night

http://www.log24.com/log/pix11/110420-DarkAndStormy-Logicomix.jpg

Saturday, June 15, 2019

Actionable Daydream

Filed under: General — m759 @ 11:26 pm

— Kastalia Medrano, "The Art of Space Art," Sept. 14, 2017

Ghost in the Shell

Wednesday, June 5, 2019

Time Cube

Filed under: General — m759 @ 11:02 am

The opening lines of Eliot's Four Quartets

"Time present and time past
Are both perhaps present in time future,
And time future contained in time past."

Perhaps.

Those who prefer geometry to rhetoric may also prefer
to Eliot's lines the immortal opening of the Transformers  saga —

"Before time began, there was the Cube."

One version of the Cube —

Tuesday, May 14, 2019

Surrealistic Pillow Talk

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

   "Plan 9 deals with the resurrection of the dead.

IMAGE- Bill Murray explains Ed Wood's 'Plan 9 from Outer Space'- 'Plan 9 deals with the resurrection of the dead.'


"When the men on the chessboard
get up and tell you where to go . . ."

Saturday, May 4, 2019

The Chinese Jars of Shing-Tung Yau

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

The title refers to Calabi-Yau spaces.

T. S. Eliot —

Four Quartets

. . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness.

A less "cosmic" but still noteworthy code — The Golay code.

This resides in a 12-dimensional space over GF(2).

Related material from Plato and R. T. Curtis

Counting symmetries with the orbit-stabilizer theorem

A related Calabi-Yau "Chinese jar" first described in detail in 1905

Illustration of K3 surface related to Mathieu moonshine

A figure that may or may not be related to the 4x4x4 cube that
holds the classical  Chinese "cosmic code" — the I Ching

ftp://ftp.cs.indiana.edu/pub/hanson/forSha/AK3/old/K3-pix.pdf

Friday, March 29, 2019

The Blazon World*

Filed under: General — m759 @ 4:59 pm

“At that instant he saw, in one blaze of light,
an image of unutterable conviction,
the reason why the artist works and lives
and has his being — the reward he seeks —
the only reward he really cares about,
without which there is nothing. It is to snare
the spirits of mankind in nets of magic,
to make his life prevail through his creation,
to wreak the vision of his life, the rude and painful
substance of his own experience, into the congruence
of blazing and enchanted images that are themselves
the core of life, the essential pattern whence
all other things proceed, the kernel of eternity.”

— Thomas Wolfe, Of Time and the River

* Title suggested by that of a Siri Hustvedt novel.
   See also Blazon in this journal.

Tuesday, March 5, 2019

A Block Design 3-(16,4,1) as a Steiner Quadruple System:

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

A Midrash for Wikipedia 

Midrash —

Related material —


________________________________________________________________________________

The Miracle Octad Generator (MOG), the affine 4-space over GF(2), and the Cullinane diamond theorem

Tuesday, February 26, 2019

Ghost in the Shell

Filed under: General — m759 @ 12:00 am

Wednesday, October 17, 2018

Aesthetics

Filed under: General,Geometry — Tags: , — m759 @ 11:22 am
 

From "The Phenomenology of Mathematical Beauty,"
by Gian-Carlo Rota —

The Lightbulb Mistake

. . . . Despite the fact that most proofs are long, and despite our need for extensive background, we think back to instances of appreciating mathematical beauty as if they had been perceived in a moment of bliss, in a sudden flash like a lightbulb suddenly being lit. The effort put into understanding the proof, the background material, the difficulties encountered in unraveling an intricate sequence of inferences fade and magically disappear the moment we become aware of the beauty of a theorem. The painful process of learning fades from memory, and only the flash of insight remains.

We would like  mathematical beauty to consist of this flash; mathematical beauty should  be appreciated with the instantaneousness of a lightbulb being lit. However, it would be an error to pretend that the appreciation of mathematical beauty is what we vaingloriously feel it should be, namely, an instantaneous flash. Yet this very denial of the truth occurs much too frequently.

The lightbulb mistake is often taken as a paradigm in teaching mathematics. Forgetful of our learning pains, we demand that our students display a flash of understanding with every argument we present. Worse yet, we mislead our students by trying to convince them that such flashes of understanding are the core of mathematical appreciation.

Attempts have been made to string together beautiful mathematical results and to present them in books bearing such attractive titles as The One Hundred Most Beautiful Theorems of Mathematics . Such anthologies are seldom found on a mathematician’s bookshelf. The beauty of a theorem is best observed when the theorem is presented as the crown jewel within the context of a theory. But when mathematical theorems from disparate areas are strung together and presented as “pearls,” they are likely to be appreciated only by those who are already familiar with them.

The Concept of Mathematical Beauty

The lightbulb mistake is our clue to understanding the hidden sense of mathematical beauty. The stark contrast between the effort required for the appreciation of mathematical beauty and the imaginary view mathematicians cherish of a flashlike perception of beauty is the Leitfaden  that leads us to discover what mathematical beauty is.

Mathematicians are concerned with the truth. In mathematics, however, there is an ambiguity in the use of the word “truth.” This ambiguity can be observed whenever mathematicians claim that beauty is the raison d’être of mathematics, or that mathematical beauty is what gives mathematics a unique standing among the sciences. These claims are as old as mathematics and lead us to suspect that mathematical truth and mathematical beauty may be related.

Mathematical beauty and mathematical truth share one important property. Neither of them admits degrees. Mathematicians are annoyed by the graded truth they observe in other sciences.

Mathematicians ask “What is this good for?” when they are puzzled by some mathematical assertion, not because they are unable to follow the proof or the applications. Quite the contrary. Mathematicians have been able to verify its truth in the logical sense of the term, but something is still missing. The mathematician who is baffled and asks “What is this good for?” is missing the sense  of the statement that has been verified to be true. Verification alone does not give us a clue as to the role of a statement within the theory; it does not explain the relevance  of the statement. In short, the logical truth of a statement does not enlighten us as to the sense of the statement. Enlightenment , not truth, is what the mathematician seeks when asking, “What is this good for?” Enlightenment is a feature of mathematics about which very little has been written.

The property of being enlightening is objectively attributed to certain mathematical statements and denied to others. Whether a mathematical statement is enlightening or not may be the subject of discussion among mathematicians. Every teacher of mathematics knows that students will not learn by merely grasping the formal truth of a statement. Students must be given some enlightenment as to the sense  of the statement or they will quit. Enlightenment is a quality of mathematical statements that one sometimes gets and sometimes misses, like truth. A mathematical theorem may be enlightening or not, just as it may be true or false.

If the statements of mathematics were formally true but in no way enlightening, mathematics would be a curious game played by weird people. Enlightenment is what keeps the mathematical enterprise alive and what gives mathematics a high standing among scientific disciplines.

Mathematics seldom explicitly acknowledges the phenomenon of enlightenment for at least two reasons. First, unlike truth, enlightenment is not easily formalized. Second, enlightenment admits degrees: some statements are more enlightening than others. Mathematicians dislike concepts admitting degrees and will go to any length to deny the logical role of any such concept. Mathematical beauty is the expression mathematicians have invented in order to admit obliquely the phenomenon of enlightenment while avoiding acknowledgment of the fuzziness of this phenomenon. They say that a theorem is beautiful when they mean to say that the theorem is enlightening. We acknowledge a theorem’s beauty when we see how the theorem “fits” in its place, how it sheds light around itself, like Lichtung — a clearing in the woods. We say that a proof is beautiful when it gives away the secret of the theorem, when it leads us to perceive the inevitability of the statement being proved. The term “mathematical beauty,” together with the lightbulb mistake, is a trick mathematicians have devised to avoid facing up to the messy phenomenon of enlightenment. The comfortable one-shot idea of mathematical beauty saves us from having to deal with a concept that comes in degrees. Talk of mathematical beauty is a cop-out to avoid confronting enlightenment, a cop-out intended to keep our description of mathematics as close as possible to the description of a mechanism. This cop-out is one step in a cherished activity of mathematicians, that of building a perfect world immune to the messiness of the ordinary world, a world where what we think should be true turns out to be true, a world that is free from the disappointments, ambiguities, and failures of that other world in which we live.

How many mathematicians does  it take to screw in a lightbulb?

Tuesday, July 31, 2018

Lexicon

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

"A blank underlies the trials of device." — Wallace Stevens

IMAGE- The ninefold square .

Sunday, June 24, 2018

For 6/24

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

A clue to the relationship between the Kummer (16, 6)
configuration and the large Mathieu group M24

Related material —

See too the diamond-theorem correlation.

Thursday, March 1, 2018

The Movement of Analogy: Hume vs. Paz

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

Hume, from posts tagged "four-set" in this journal —

"The mind is a kind of theatre, where several perceptions
successively make their appearance; pass, repass, glide away,
and mingle in an infinite variety of postures and situations.
There is properly no simplicity in it at one time, nor identity
in different, whatever natural propension we may have
to imagine that simplicity and identity."

Paz, from a search for Paz + Identity in this journal —

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one: 
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

Wednesday, February 7, 2018

Conceptual Minimalism

Filed under: General,Geometry — Tags: — m759 @ 10:08 am

 

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one: 
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

See also AS IS.

Friday, November 24, 2017

Scholia

Filed under: General — m759 @ 11:00 pm

From this evening's online New York Times : 

"Eric Salzman, a composer and music critic who
championed a new art form, music theater,
that was neither opera nor stage musical, died
on Nov. 12 at his home in Brooklyn. He was 84."

. . . .

"The first American Music Theater Festival 
took place in the summer of 1984.

Among that first festival’s featured works was 
'Strike Up the Band!,' Mr. Salzman’s 'reconstructed
and adapted' version of a satirical musical
with a score by George and Ira Gershwin
that had not been staged in 50 years. The director
of that production, Frank Corsaro, died 
the day before Mr. Salzman did."

Synchronology check :

"The day before" above was November 11, 2017.

Links from this  journal  on November 11

A Log24 search for Michael Sudduth and an 
October 28, 2017, Facebook post by Sudduth.

Detail of Sudduth's Nov. 11 Facebook home page

Click the above for an enlarged view of the Sudduth profile picture.

Related material :

Harold Schonberg, 1977 review of Corsaro production of Busoni's 'Dr. Faust'

Aooo.

Friday, November 10, 2017

A Mathematician’s Apology

Filed under: General — m759 @ 4:00 pm

(Click to enlarge.)

For the paper on Steiner systems, see the bibliographic link in
the previous Log24 post.

See as well Cameron's posts before and after his post above:

     .

Annals of Rarefied Scholarship

Filed under: General,Geometry — m759 @ 3:00 pm

From Cambridge Core, suggested by a reference to
that website in the previous post and by the following
bibliographic data . . .

https://doi.org/10.1017/fmp.2016.5

Downloaded from https://www.cambridge.org/core
on 10 Nov 2017 at 19:06:19 

See Conwell + Princeton in this journal.

Related art —

Thursday, October 26, 2017

A Center

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

This post was suggested by a New York Times  obituary this evening —

"Tom Mathews, Promoter of Liberal Causes and Candidates, Dies at 96."

Mathews reportedly died on October 14, 2017.

"Mr. Mathews and his business partner Roger Craver 'dreamed for years
of finding the perfect citizen-candidate,' the authors wrote, 'a man or
woman of the center-left with a feel for issues, a history of independence,
a winning television manner and, most important of all, a center — a core
of beliefs more important to him or her than getting elected.'

Dream on.

From the date of Mathews's death:

Posts now tagged A Center for Krauss

"Let no one ignorant of geometry enter"

Tuesday, October 17, 2017

Status Symbols

Filed under: General,Geometry — Tags: , , — m759 @ 2:02 pm

"Status: Defunct"  

As is now its owner, who reportedly
died at 80 on Sunday, October 15, 2017.

In memoriam —

Excerpts from Log24 posts on Sunday night 
and yesterday evening

http://www.log24.com/log/pix11/110203-Scholia.jpg.

" … listen: there's a hell
of a good universe next door; let's go"

— e. e. cummings

Some literary background —

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one: 
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

Sunday, September 24, 2017

Figures

Filed under: General — m759 @ 8:30 pm

"On April 23, 2009 ….

'I’m reminded of the character in "The Silence of the Lambs," 
Hannibal Lecter, a very brilliant man,' the prosecutor said,
recognizing 'his ability to intelligently and articulately discuss
things occurring in society.'

'But at his core, as with Mr. Lecter at his core, he is a sociopath,' 
the prosecutor said."

— David Stout in an obituary from this evening's online
New York Times

See also this  journal on April 23, 2009, and
a figure from this morning's link Cantina —

 .

Saturday, September 23, 2017

The Turn of the Frame

"With respect to the story's content, the frame thus acts
both as an inclusion of the exterior and as an exclusion
of the interior: it is a perturbation of the outside at the
very core of the story's inside, and as such, it is a blurring
of the very difference between inside and outside."

— Shoshana Felman on a Henry James story, p. 123 in
"Turning the Screw of Interpretation,"
Yale French Studies  No. 55/56 (1977), pp. 94-207.
Published by Yale University Press.

See also the previous post and The Galois Tesseract.

Friday, August 18, 2017

The Savvy Philosophers

Filed under: General — m759 @ 1:37 pm

Flashback in Genial, a post of March 6, 2017 —

From a New York Times  book review today by
James Ryerson, instructor at The School of The New York Times —

"Savvy philosophers distill their core insight into a short phrase."

"Let them eat cake."

Thursday, July 27, 2017

Keeping It Simple

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

Michiko Kakutani in The New York Times

"The detective story genre concerns the finding of clues
and the search for hidden designs, and its very form
underscores Mr. Pynchon’s obsession with conspiracies
and the existence of systems too complicated to understand."

Review of Pynchon's Bleeding Edge , Sept. 10, 2013

Background:  "Moss on the Wall," this  journal on that date.

A less complicated system —

"Plan 9 deals with the resurrection of the dead."

— Bill Murray in "Ed Wood"
 

For The Church of Plan 9

(The plan , as well as the elevation ,
of the above structure is a 3×3 grid.)

Monday, July 10, 2017

Under Bleu Cup

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

Publishers Weekly  on a Nov. 1, 2011, book, Under Blue Cup

"Krauss’s core argument (what she deems a 'crusade')
is that the 'white cube,' which conceptual and installation
artists have deemed obsolete, actually thrives."

For other "core arguments," see Satuday's post "Common Core"
and the Art Space posts "Odd Core" and "Even Core."

Wednesday, June 28, 2017

Maori Farewell

Filed under: General — m759 @ 3:33 pm

The second editor mentioned below reportedly died
on June 21, 2017.  A page in his memory —

See also "Detail for Hopkins" in this journal on June 21.
For a Maori finale, see "De Haut en Bas " (July 11, 2008).

Friday, May 26, 2017

Day at the Museum

Filed under: General — m759 @ 12:00 pm

From the 1994 film review linked to above —

Reality Bites – Peter Travers in Rolling Stone , Feb. 1994

"Life after college – the time between graduation and
finding a job that pays your rent without making you puke.
Panic time. By spinning something fresh out of something
familiar, Reality Bites  scores the first comedy knockout of
the new year. It also brings out the vibrant best in Winona
Ryder and Ethan Hawke as friends who resist being lovers,
makes a star of Janeane Garofalo as their tart-tongued
buddy and puts Ben Stiller on the map as a director." 

Thursday, April 27, 2017

Partner, Anchor, Decompose

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

See also a figure from 2 AM ET April 26 

" Partner, anchor, decompose. That's not math.
That's the plot to 'Silence of the Lambs.' "

Greg Gutfeld, September 2014

Monday, March 27, 2017

Groundhog Day and After

Filed under: General — m759 @ 3:13 pm

A reader suspects Coretta Scott King letter is a forgery

See also "Damning" in this journal on Feb. 8, 2017.

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."

Friday, February 17, 2017

Fake News: The Definition

Filed under: General — m759 @ 11:15 am

See also, on Feb. 8 in this journal, Damning.

Sunday, February 12, 2017

Colorful Tales

Filed under: General — Tags: — m759 @ 1:23 pm

“Perhaps the philosophically most relevant feature of modern science
is the emergence of abstract symbolic structures as the hard core
of objectivity behind— as Eddington puts it— the colorful tale of
the subjective storyteller mind.”

— Hermann Weyl, Philosophy of  Mathematics and
    Natural Science 
, Princeton, 1949, p. 237

Harvard University Press on the late Angus Fletcher, author of
The Topological Imagination  and Colors of the Mind

From the Harvard webpage for Colors of the Mind

Angus Fletcher is one of our finest theorists of the arts,
the heir to I. A. Richards, Erich Auerbach, Northrop Frye.
This… book…  aims to open another field of study:
how thought— the act, the experience of thinking—
is represented in literature.

. . . .

Fletcher’s resources are large, and his step is sure.
The reader samples his piercing vision of Milton’s

Satan, the original Thinker,
leaving the pain of thinking
as his legacy for mankind.

A 1992 review by Vinay Dharwadker of Colors of the Mind —

See also the above word "dianoia" in The Echo in Plato's Cave.
Some context 

This post was suggested by a memorial piece today in
the Los Angeles Review of Books

A Florilegium for Angus Fletcher

By Kenneth Gross, Lindsay Waters, V. N. Alexander,
Paul Auster, Harold Bloom, Stanley Fish, K. J. Knoespel,
Mitchell Meltzer, Victoria Nelson, Joan Richardson,
Dorian Sagan, Susan Stewart, Eric Wilson, Michael Wood

Fletcher reportedly died on November 28, 2016.

"I learned from Fletcher how to apprehend
the daemonic element in poetic imagination."

— Harold Bloom in today's Los Angeles florilegium

For more on Bloom and the daemonic, see a Log24 post,
"Interpenetration," from the date of Fletcher's death.

Some backstory:  Dharwadker in this journal.

Wednesday, February 8, 2017

Damning

Filed under: General — m759 @ 9:42 pm

BuzzFeed, Tuesday, January 10, 2017, on "the damning letter"—

From the Jan. 10 BuzzFeed story

At the time of the hearing, Judiciary Committee Chairman Strom Thurmond never put the letter into the congressional record, and its contents remained largely unknown. In the only line that was made public at the time — published in June 1986 by Knight Ridder reporter Aaron Epstein — King made clear her opposition to Sessions’ nomination.

“For a century, the racial practices that characterized our region were established and enforced by men who, like Mr. Sessions, protested that they, too, were not personally hostile to blacks,” King’s letter said, according to Epstein’s dispatch.

A searchable text of the alleged 1986 letter, along with the
alleged attached statement, is now available at
https://www.aol.com/article/news/2017/02/08/
coretta-scott-kings-letter-opposing-jeff-sessions-1986-full-text/21709762/
.

A search of the letter and statement at that webpage yields
no instances of the phrases "racial practices," "established and enforced,"
or "personally hostile."

Hence the word "alleged" above.

Update of 1:44 PM ET on Feb. 9, 2017:

A relevant Wikipedia article —
Questioned document examination.

Tuesday, February 7, 2017

Authority Figure

Filed under: General — m759 @ 3:09 pm

Accepting for Professor Corey Thomas Pynchon.

Saturday, January 28, 2017

Cranking It Up

Filed under: General — m759 @ 12:17 pm

From "Core," a post of St. Lucia's Day, Dec. 13, 2016 —

'We are rooted in yoga and love the magic that happens when that practice is cranked up to eleven.'

In related news yesterday —

California yoga mogul’s mysterious death:
Trevor Tice’s drunken last hours detailed

"Police found Tice dead on the floor in his home office,
blood puddled around his head. They also found blood
on walls, furniture, on a sofa and on sheets in a nearby
bedroom, where there was a large bottle of Grey Goose
vodka under several blood-stained pillows on the floor."

See as well an image from "The Stone," a post of March 18, 2016 —

Some backstory —

“Lord Arglay had a suspicion that the Stone would be
purely logical.  Yes, he thought, but what, in that sense,
were the rules of its pure logic?”

Many Dimensions  (1931), by Charles Williams

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