Log24

Saturday, February 29, 2020

To and Fro…

Filed under: General — Tags: , — m759 @ 12:25 AM

Continued .

See as well instances of "to and fro" in this  journal.

Friday, February 28, 2020

Material

Filed under: General — Tags: — m759 @ 4:58 PM

See as well this  journal on that date — Oct. 25, 2013.

Up the Trinity Staircase

Filed under: General — Tags: — m759 @ 3:57 PM

Or:  The Newman Prize  Continues.

Freeman Dyson reportedly died today.  In memoriam ,
some remarks by Dyson from Hiroshima Day 1979 —

(Click to enlarge.)

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.

Friday, February 21, 2020

To and Fro, Back and …

Filed under: General — Tags: , — m759 @ 11:44 PM

Also on January 27, 2017 . . .

For other appearances of John Hurt here,
see 1984 Cubes.

Update of 12:45 AM Feb. 22 —

A check of later obituaries reveals that Hurt may well
have died on January 25, 2017, not January 27 as above.

Thus the following remarks may be more appropriate:

Not to mention what, why, who, and how.

Sunday, February 9, 2020

Hors d’Oeuvre

Filed under: General — Tags: , , , — m759 @ 1:29 PM

From the May Day 2016 link above, in "Sunday Appetizer from 1984"

The 2015 German edition of Beautiful Mathematics ,
a 2011 Mathematical Association of America (MAA) book,
was retitled Mathematische Appetithäppchen —
Mathematical Appetizers . The German edition mentions
the author's source, omitted in the original American edition,
for his section 5.17, "A Group of Operations" (in German,
5.17, "Eine Gruppe von Operationen") —  

Mathematische Appetithäppchen:
Faszinierende Bilder. Packende Formeln. Reizvolle Sätze

Autor: Erickson, Martin

"Weitere Informationen zu diesem Themenkreis finden sich unter

http://​www.​encyclopediaofma​th.​org/
index.​php/​Cullinane_​diamond_​theorem

und

http://​finitegeometry.​org/​sc/​gen/​coord.​html ."

That source was a document that has been on the Web
since 2002. The document was submitted to the MAA
in 1984 but was rejected. The German edition omits the
document's title, and describes it as merely a source for
"further information on this subject area."

From the Gap Dance link above, in "Reading for Devil's Night" —

Das Nichts nichtet.” — Martin Heidegger.

And "Appropriation Appropriates."

Tuesday, February 4, 2020

Cleavage

Filed under: General — Tags: , , , — m759 @ 12:55 PM

From Martin Heidegger's
Contributions to Philosophy (From Enowning) , 
Translated by Parvis Emad and Kenneth Maly,
Indiana University Press, 1999 (first published in German
in 1989 as Beiträge zur Philosophie (Vom Ereignis)  but
written in 1936-1938 

"The 'between' [das Zwischen ] is the simple 'bursting open'
that enowns be-ing to a being, which up until then is held back
from what is ownmost to it and is not yet to be named a being.
This 'bursting open' is the clearing for the sheltered. But the
'bursting open' does not disperse. and the clearing is not a mere
emptiness.

The 'between' [das Zwischen ] which bursts open gathers
what it removes into the open of its strifing and refusing
belongingness, moves unto the ab-ground , out of which everything
(god, man, world, earth) recoils in swaying into itself and thus leaves
to be-ing the unique decidedness of en-ownment."

— 270, "The Essential Sway of Be-ing" (p. 341)

"Enownment and enstrifing, historical grounding and decision,
uniqueness and the onefold, what has the character of
the between [Zwischenhafte ] and the cleavage [Geklüft ] —
they never name the essential sway of be-ing as properties
but rather in each case the whole essential swaying* of its essential
sway."

— 270, "The Essential Sway of Be-ing" (p. 342)

* For "swaying" as "unfolding," see (for instance)
the Stanford Encyclopedia of Philosophy  and
also George Kovacs, Thinking and Be-ing in Heidegger's
Beiträge zur Philosophie (Vom Ereignis) ,
Zeta Books, 2015.

Sunday, January 26, 2020

Harmonic-Analysis Building Blocks

Filed under: General — Tags: — m759 @ 1:14 PM

See also The Eightfold Cube.

Duke Blocks

Filed under: General — Tags: — m759 @ 12:38 AM

The Wall Street Journal  Jan. 24 on a Duke University professor —

"Dr. Daubechies is best known for her work on mathematical structures
called wavelets; her discoveries have been so influential, in fact, that
these are referred to in the field as Daubechies wavelets. She describes
them as 'mathematical building blocks' that can be used to extract the 
essential elements of images or signals without losing their quality—
in effect, a new universal language for scientists and researchers."

See also this  journal on January 20-21, and …

Thursday, January 23, 2020

The Demarcation of Nothing

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

" nothing could be demarcated as 'hors d'oeuvre'…"

Geoffrey Hartman in his Haskins Lecture for 2000
(quoted here on Columbus Day, 2004).

See also May Day 2016 and Gap Dance.

Wednesday, January 22, 2020

Gap Dance

Filed under: General — Tags: , , — m759 @ 12:09 AM

From Wallace Stevens, "The Man with the Blue Guitar":

IX

And the color, the overcast blue
Of the air, in which the blue guitar
Is a form, described but difficult,
And I am merely a shadow hunched
Above the arrowy, still strings,
The maker of a thing yet to be made . . . .

"Arrowy, still strings" from the diamond theorem

Tuesday, January 21, 2020

Eye-in-the-Pyramid Points

Filed under: General — Tags: — m759 @ 2:06 PM

"it remains only to choose a pleasing arrangement of {1, 2, … 7}
to label the eye-in-the-pyramid points.
there are, as it’ll turn out, 168 of ’em that’ll work."

— Comment at a weblog on November 27, 2010.

See also Log24 on that date.

The 11/27/2010 comment was on a post dated November 23, 2010.

See also Log24 on that  date.

Precisely.

Monday, January 20, 2020

Dyadic Harmonic Analysis:

Filed under: General — Tags: — m759 @ 8:26 PM

The Fourfold Square and Eightfold Cube

Related material:  A Google image search for "field dream" + log24.

Thursday, January 16, 2020

NowHere

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

The title is suggested by the word "NowHere" on a map
that I encountered in a personal weblog post tonight.

Related Google search —

Et cetera, et cetera, et cetera.

Wednesday, January 15, 2020

Paradigm Shift

Filed under: General — Tags: , — m759 @ 1:33 PM

Sheehan, 'Making Sense of Heidegger,' p. 39

Illustration, from a search in this journal for "Symplectic" —

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

Some background:  Rift-design  in this journal and

Saturday, January 11, 2020

Mathematical Theology (“Art School Confidential” continues.)

Filed under: General — Tags: , — m759 @ 7:07 PM

Detail of artwork by Josefine Lyche, 2010

Related academic remarks:

Friday, January 3, 2020

Valhalla Requiem

Filed under: General — Tags: , , — m759 @ 9:59 PM


See also this  journal on Monday, the day of Kupfer's reported death

 

Spectral Woo

Filed under: General — Tags: , , — m759 @ 12:14 PM

 " during that spell between the feasts of Christmas and Epiphany
when ghosts and specters are supposed to be abroad . . . ."

Heinrich Zimmer on  Sir Gawain and the Green Knight

Times Literary Supplement , January 3, 2020

Sciences | Book Review

The world is not enough:
Guessing at the game God is playing

By Samuel Graydon

See as well

Thursday, January 2, 2020

Interality

Filed under: General — Tags: — m759 @ 8:25 PM

Structure of the eightfold cube

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.

Wednesday, January 1, 2020

Águila

Filed under: General — Tags: — m759 @ 11:30 PM
"We learned so much
about singing from each other
because you get to sort of
be them for a second
when you're shadowing
them in harmony.
It's like getting on an eagle
and getting to see the world
through that eagle's experience."

Read more: https://www.springfieldspringfield.co.uk/
movie_script.php?movie=linda-ronstadt-the-sound-of-my-voice

See also Aguila de Oro.

Le Mot Juste

Filed under: General — Tags: — m759 @ 3:23 PM

Related art

Exploring Inner Space* at The New York Times

Filed under: General — Tags: — m759 @ 11:35 AM

From Corrections: Jan. 1, 2020

The astronomy article, by Dennis Overbye, is dated Dec. 23* (a Monday).

The above reference to "Tuesday" is explained by the fine print
at the bottom of the Science Times  article — "A version of this article
appears in print on [Tuesday] , Section D, Page 6 of the
New York edition with the headlineIn Battle of Giant Telescopes,
Outlook for the U.S. Dims." 

From the article as quoted on Thursday, Dec. 26,  
at https://uclafacultyassociation.blogspot.com

"Now, as the wheels of the academic and government bureaucracy begin to turn, many American astronomers worry that they are following in the footsteps of their physicist colleagues. In 1993, Congress canceled the Superconducting Super Collider, and the United States ceded the exploration of inner space to Europe and CERN, which built the Large Hadron Collider, 27 miles in diameter, where the long-sought Higgs boson was eventually discovered.

The United States no longer builds particle accelerators. There could come a day, soon, when Americans no longer build giant telescopes. That would be a crushing disappointment to a handful of curious humans stuck on Earth, thirsting for cosmic grandeur. In outer space, nobody can hear you cry."

Source: https://www.nytimes.com/2019/12/23/science/telescopes-magellan-hawaii-astronomy.html

Related material from this  journal on April 2, 2019 —

Cover design by Greg Stadnyk, available in an animated gif.

* See also this  journal on Dec. 23.

Monday, December 23, 2019

Orbit

Filed under: General — Tags: , — m759 @ 7:34 PM

"December 22, the birth anniversary of India’s famed mathematician
Srinivasa Ramanujan, is celebrated as National Mathematics Day."
Indian Express  yesterday

"Orbits and stabilizers are closely related." — Wikipedia

Symmetries by Plato and R. T. Curtis —

Counting symmetries with the orbit-stabilizer theorem

In the above, 322,560 is the order 
of the octad stabilizer group .

Obit

Filed under: General — Tags: , , — m759 @ 8:16 AM

See as well the previous post and Pacific Science Institute.

Monday, December 16, 2019

Penning

Filed under: General — Tags: — m759 @ 10:38 PM

New Yorker  art critic Peter Schjeldahl 
as quoted today by Margaret Soltan

Unlike computers. See ReactiveX and Observable.

Writer’s Block

Filed under: General — Tags: — m759 @ 12:43 PM

Frindle, Helen. The Sentient Shield .
Austin Macauley Publishers Ltd., Kindle edition. 

“But why, I am not aware or can’t remember anything; previous lives, contracts, whatever.”

“Perhaps not, but the block has been removed. As I understand blocks are placed because the person would not be able to cope with the information of their past life, or lives, or experiences that may have been so terrible. It seems however that what is happening is that you are now needed to wake up and remember and that is why the block has been removed.”

“Wake up. I don’t understand. I am sorry, I keep repeating myself but I don’t understand!”

Maddy shook her herself and went quiet, she thought perhaps she needed to listen to Pam.

“At this present time no, but it has been removed and you will begin to become, let’s say, more aware and remember.”

“Remember what, here I go again, it seems like a riddle to me and I am beginning to feel very odd, in fact even a little frightened. It seems as if we are venturing into things that are rather supernatural.”

Amen. See also The Crosswicks Curse.

Sunday, December 15, 2019

For Harlan Kane* — The Frindle Kindle

Filed under: General — Tags: — m759 @ 5:37 PM

"Thus the nature of reality comes into question…."

Frindle, Helen. The Sentient Shield , author's preface.
Austin Macauley Publishers Ltd. Kindle edition.
Published on December 11, 2018:


————————————————————————————————————–

This  journal on December 11, 2018 —

Etymology of 'profane'

* See as well other references to Harlan Kane in this journal.

Saturday, December 14, 2019

Colorful Tale

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

(Continued)

Four-color correspondence in an eightfold array (eightfold cube unfolded)

The above image is from 

"A Four-Color Theorem:
Function Decomposition Over a Finite Field,"
http://finitegeometry.org/sc/gen/mapsys.html.

These partitions of an 8-set into four 2-sets
occur also in Wednesday night's post
Miracle Octad Generator Structure.

This  post was suggested by a Daily News
story from August 8, 2011, and by a Log24
post from that same date, "Organizing the
Mine Workers
" —

http://www.log24.com/log/pix11B/110808-DwarfsParade500w.jpg

Tuesday, December 10, 2019

Eternal Color

Filed under: General — Tags: , , — m759 @ 7:34 PM

For the above title, see posts tagged Eternal Color.

From this evening's online New York Times

Related imaterial —

A scene from the film of the above book —

Monday, December 2, 2019

Aesthetics at Harvard

Filed under: General — Tags: , , , — m759 @ 4:05 PM

"What the piece of art is about is the gray space in the middle."

— David Bowie, as quoted in the above Crimson  piece.

Bowie's "gray space" is the space between the art and the beholder.

I prefer the gray space in the following figure —

Some small Galois spaces (the Cullinane models)

Context:  The Trinity Stone  (Log24, June 4, 2018).

Wednesday, November 20, 2019

After Rothko

Filed under: General — Tags: , — m759 @ 12:52 PM

RED
_____________________________________________________________________________


 

GRAY
______________________


Arya on Rothko

“Experience is the best teacher,” they say.

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

Related readings — Also from 11/08/2005 — A Constant Idea, and
some related posts
 that link to

 .

Saturday, November 16, 2019

Logic in the Spielfeld

Filed under: General — Tags: , — m759 @ 8:03 PM

"A great many other properties of  E-operators
have been found, which I have not space
to examine in detail."

— Sir Arthur EddingtonNew Pathways in Science ,
Cambridge University Press, 1935, page 271.

The following 4×4 space, from a post of Aug. 30, 2015,
may help:

The next time she visits an observatory, Emma Stone
may like to do a little dance to

'The Eddington Song'

Friday, November 15, 2019

Operators

Filed under: General — Tags: — m759 @ 2:40 PM

Easy E

 

Not So Easy:  E-Operators

"A great many other properties of  E-operators
have been found, which I have not space
to examine in detail."

Sir Arthur Eddington, New Pathways in Science ,
Cambridge University Press, 1935, page 271.
(This book also presents Eddington's unfortunate
speculations on the fine-structure constant.)

Thursday, November 14, 2019

Lit for Brats

Filed under: General — Tags: , , — m759 @ 8:36 AM

From a search in this journal for Salinger

“… the wind was noisy the way it is in spooky movies
on the night the old slob with the will gets murdered.”

— From the opening sentence of the first Holden Caulfield
story, published in the Collier’s  of December 22, 1945

See as well the previous post.

Wednesday, November 13, 2019

Sein Feld

Filed under: General — Tags: , — m759 @ 2:25 PM

Monday, November 11, 2019

Seuil

Filed under: General — Tags: — m759 @ 8:16 AM

The trailer pictured above is from the 2016 film Blood Father .

See as well the blood father of Wonderland's Alice:

https://en.wikiquote.org/wiki/Henry_George_Liddell

For the Eleventh Day of the Eleventh Month

Filed under: General — Tags: — m759 @ 7:42 AM

A Lexicon for Housman — See the posts of June 21, 2013.

Sunday, November 10, 2019

Housman and Ecclesiastes

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

From A.E. Housman's 1892 lecture in the previous post

"In the day when the strong men shall bow themselves,
  and desire shall fail…."

Today's readers may be less familiar than was Housman's 1892
audience with the source of those phrases

Saturday, November 9, 2019

Wall

Filed under: General — Tags: — m759 @ 6:34 AM
 

"Nor again will I pretend that, as Bacon asserts, `the pleasure and delight of knowledge and learning far surpasseth all other in nature'. This is too much the language of a salesman crying his own wares. The pleasures of the intellect are notoriously less vivid than either the pleasures of sense or the pleasures of the affections; and therefore, especially in the season of youth, the pursuit of knowledge is likely enough to be neglected and lightly esteemed in comparison with other pursuits offering much stronger immediate attractions. But the pleasure of learning and knowing, though not the keenest, is yet the least perishable of pleasures; the least subject to external things, and the play of chance, and the wear of time. And as a prudent man puts money by to serve as a provision for the material wants of his old age, so too he needs to lay up against the end of his days provision for the intellect. As the years go by, comparative values are found to alter: Time, says Sophocles, takes many things which once were pleasures and brings them nearer to pain. In the day when the strong men shall bow themselves, and desire shall fail, it will be a matter of yet more concern than now, whether one can say `my mind to me a kingdom is'; and whether the windows of the soul look out upon a broad and delightful landscape, or face nothing but a brick wall."

– A.E. Housman, Inaugural Lecture as Professor of Latin,
University College, London, 1892
, as quoted at . . .

http://spenceralley.blogspot.com/2016/01/
housman-manifesto.html

Hello, Mr. Chips

Filed under: General — Tags: , — m759 @ 6:00 AM

A geometric diagram by the late Andrew Jobbings (1951-2019) —

From a book review quoted here on the date of Jobbings's death —

"Dodge is eventually brought back to life, or a kind of virtual afterlife,
in the 'Bitworld' where he exists as ones and zeros. Initially inchoate,
Dodge’s mind evolves, along with the digital environment he creates
around him, a kind of information-age Genesis story that Stephenson
describes evocatively."

Schicksalstag

Filed under: General — Tags: — m759 @ 5:00 AM

"Something there is that doen't love a wall."

Thursday, October 17, 2019

Annals of Architectural Theory

Filed under: General — Tags: , — m759 @ 6:16 PM

Related material — See Jencks and
some other Log24 posts now tagged

Dancing About Architecture.

Dance of the Fire Temple

Filed under: General — Tags: , , — m759 @ 10:13 AM

The previous post, Tetrahedron Dance, suggests a review of . . .

A figure from St. Patrick's Day 2004 that might
represent a domed  roof 

Inscribed Carpenter's Square:

In LatinNORMA

 and a cinematic "Fire Temple" from 2019 

In related news . . .

Related background "e. e. cummings" in this  journal.

Tetrahedron Dance

Filed under: General — Tags: , , , — m759 @ 9:42 AM

John Lithgow in "The Tomorrow Man" (2019)

" connect the dots…."

IMAGE- 'The geometry of the dance' is that of a tetrahedron, according to Peter Pesic

Saturday, October 12, 2019

SNL Drill

Filed under: General — Tags: — m759 @ 8:21 PM

"Hellboy  was theatrically released on April 12, 2019,
  to negative reviews . . . ." — Wikipedia

 

Thursday, September 26, 2019

Identity

Filed under: General — Tags: , — m759 @ 8:53 AM


Related story:

E is for Einheit

Wednesday, August 28, 2019

Exercise

Filed under: General — Tags: , — m759 @ 4:44 PM

Sunday, August 25, 2019

Design Theory

Filed under: General — Tags: , , — m759 @ 7:58 PM

"Mein Führer Steiner"

See Hitler Plans and Quadruple System.

"There is  such a thing as a quadruple system."

Saying adapted from a 1962 young-adult novel

Friday, August 16, 2019

Stanza Romanza

Filed under: General — Tags: — m759 @ 7:49 PM

Wallace Stevens's 'a million diamonds' quote in Woodman's 'Stanza My Stone'

For those who prefer greater clarity than is offered by Stevens . . .

The A section —

The B section —

"A paper from Helsinki in 2005 says there are more than a million
3-(16,4,1) block designs, of which only one has an automorphism
group of order 322,560. This is the affine 4-space over GF(2)."

Thursday, August 15, 2019

Schoolgirl Space — Tetrahedron or Square?

Filed under: General — Tags: , — m759 @ 9:03 PM

The exercise in the previous post  was suggested by a passage
purporting to "use standard block design theory" that was written
by some anonymous author at Wikipedia on March 1, 2019:

Here "rm OR" apparently means "remove original research."

Before the March 1 revision . . .

The "original research" objected to and removed was the paragraph
beginning "To explain this further."  That paragraph was put into the
article earlier on Feb. 28 by yet another anonymous author (not  by me).

An account of my own (1976 and later) original research on this subject 
is pictured below, in a note from Feb. 20, 1986 —

'The relativity problem in finite geometry,' 1986

On Steiner Quadruple Systems of Order 16

Filed under: General — Tags: , — m759 @ 4:11 AM

An image from a Log24 post of March 5, 2019

Cullinane's 1978  square model of PG(3,2)

The following paragraph from the above image remains unchanged
as of this morning at Wikipedia:

"A 3-(16,4,1) block design has 140 blocks of size 4 on 16 points,
such that each triplet of points is covered exactly once. Pick any
single point, take only the 35 blocks containing that point, and
delete that point. The 35 blocks of size 3 that remain comprise
a PG(3,2) on the 15 remaining points."

Exercise —

Prove or disprove the above assertion about a general "3-(16,4,1) 
block design," a structure also known as a Steiner quadruple system
(as I pointed out in the March 5 post).

Relevant literature —

A paper from Helsinki in 2005* says there are more than a million
3-(16,4,1) block designs, of which only one has an automorphism
group of order 322,560. This is the affine 4-space over GF(2),
from which PG(3,2) can be derived using the well-known process
from finite geometry described in the above Wikipedia paragraph.

* "The Steiner quadruple systems of order 16," by Kaski et al.,
   Journal of Combinatorial Theory Series A  
Volume 113, Issue 8, 
   November 2006, pages 1764-1770.

Wednesday, August 14, 2019

Double Veil

Filed under: General — Tags: , , — m759 @ 9:48 PM

"If you want to win, you need to know just one thing and not to waste your time
on anything else: the pleasures of erudition are reserved for losers. The more
a person knows, the more things have gone wrong."

— Eco, Umberto. Numero Zero  (p. 9). HMH Books. Kindle Edition. 

"All this notwithstanding, I dreamed what all losers dream, about one day writing
a book that would bring me fame and fortune. To learn how to become a great
writer, I became what in the last century was called the nègre  (or ghostwriter,
as they say today, to be politically correct) for an author of detective stories who
gave himself an American name to improve sales, like the actors in spaghetti
westerns. But I enjoyed working in the shadows, hidden behind a double veil
(the Other’s and the Other’s other name)."

— Eco, Umberto. Numero Zero  (pp. 9-10). HMH Books. Kindle Edition. 

How's this for a double veil, Umberto?

Boeing/Being Meets the Flying Spaghetti Monster . . .

Monday, August 12, 2019

Transformers

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

See also Dueling Formulas in this  journal.

Friday, August 9, 2019

Design Theory

Filed under: General — Tags: , — m759 @ 6:48 PM

Click to enlarge:

Block Designs?

Wednesday, August 7, 2019

Rehinged

Filed under: General — Tags: , — m759 @ 8:19 PM

Recent posts now tagged Black Fire suggest some context . . .

Hinges:

Meditations on the Portals of the Imagination 

by Grace Dane Mazur, A K Peters/CRC Press;
first edition November 8, 2010

Interviewer's questions to the author (Feb. 4, 2011) —

"This book fuses together literature, art, science, history,
certainly the underworld–so many different points of obsession
for you, and you move so swiftly among them. It feels like a
magnum opus in that way. Where do you go from here?
After the hinges of hell, what comes next?"

The reviews?

Hinged

Filed under: General — Tags: , — m759 @ 12:15 PM

Wednesday, July 24, 2019

The Batty Farewell

Filed under: General — Tags: — m759 @ 8:40 PM

Adam Rogers today on "Rutger Hauer in Blade Runner , playing
the artificial* person Roy Batty in his death scene." 

* See the word "Artifice" in this  journal,
   as well as Tears in Rain . . .

Game Over

The film "The Matrix," illustrated
Coordinates for generating the Miracle Octad Generator

and Adam Rogers in
    the previous post.

 

Monday, July 22, 2019

The Four Diamonds Meet the Five Red Herrings

Filed under: General — Tags: — m759 @ 11:34 AM

Lord Peter Wimsey (Balliol 1912) on the Balliol-Trinity rivalry at Oxford:

See also Balliol College in the post subtitled Spidey Goes to Church.

Signed, Sealed, Delivered

Filed under: General — Tags: — m759 @ 5:58 AM

Visual Languages

Filed under: General — Tags: — m759 @ 4:48 AM

Good question. See also this  journal on the above date —

September 15, 2018.

Space, Time, Form

Filed under: General — Tags: — m759 @ 3:33 AM

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

Click the image for some remarks on a related novel.

Tuesday, July 16, 2019

Hieroglyph for Surrealists

Filed under: General — Tags: — m759 @ 10:14 AM

The previous post suggests a review of
an image from last Saturday night

What’s in a Name: Boeing/Being

Filed under: General — Tags: — m759 @ 9:45 AM

See also Visual Structure (May 22, 2014)
and Snakes on a Plane posts.

Saturday, July 13, 2019

Live from New York, It’s …

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

Curse of the Fire Temple

"Power outages hit parts of Manhattan
plunging subways, Broadway, into darkness"

New York Post  this evening

Tuesday, June 25, 2019

Medium and Message

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

Analogy

Filed under: General — Tags: — m759 @ 6:36 AM

Monday, June 24, 2019

Ex Fano Apollinis

Filed under: General — Tags: — m759 @ 11:57 PM

Tuesday, June 18, 2019

The Crooning

Filed under: General — Tags: — m759 @ 12:55 PM

For fans of the story theory of truth  

 A "tale as old as time . . ."
 — Song lyric,  Beauty and the Beast

Nicholas Hoult as X-Men "Beast" Hank McCoy

See also the previous post, "Equals Tolkien?"

Related material The real  McCoy

Equals Tolkien?

Filed under: General — Tags: — m759 @ 12:34 PM

Paris Review

Filed under: General — Tags: — m759 @ 3:33 AM

"The loveliness of Paris seems somehow sadly gay." — Song lyric

Stewart also starred in "Equals" (2016). From a synopsis —

"Stewart plays Nia, a writer who works at a company that extols
the virtues of space exploration in a post-apocalyptic society.
She falls in love with the film's main character, Silas (Nicholas Hoult),
an illustrator . . . ."

Space art in The Paris Review

For a different sort of space exploration, see Eightfold 1984.

June Moon Croon

Filed under: General — Tags: — m759 @ 12:02 AM

Monday, June 17, 2019

The Callahan Turtle

Filed under: General — Tags: , — m759 @ 10:54 PM

By Stephen King

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

Salvation by Grace

Filed under: General — Tags: , — m759 @ 3:18 PM

High Society

Filed under: General — Tags: , — m759 @ 1:16 PM

From the date in the above Google search result —

 See as well Jeremy Gray in this  journal.

Thursday, June 13, 2019

The Reality Blocks

Filed under: General — Tags: — m759 @ 9:24 PM

The new Log24 tag "Eightfold Metaphysics" used in the previous post
suggests a review of posts that were tagged "The Reality Blocks" on May 24.

Then there is, of course, the May 24 death of Murray Gell-Mann, who
hijacked from Buddhism the phrase "eightfold way."

See Gell-Mann in this journal and May 24, 2003.

Seeing the Seing

Filed under: General — Tags: , , , — m759 @ 2:30 PM

The phrase "experimental metaphysics" appeared in Peter Woit's weblog on June 11.
Google reveals that . . .

" 'experimental metaphysics' is a term coined by Abner Shimony …."

Shimony reportedly died on August 8, 2015.  Also on that date —

Tuesday, June 11, 2019

Relish

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

"Center loosens, forms again elsewhere." — Roger Zelazny

See also an image in memory of the Coppertone artist
from a post of May 18, 2006

The image “http://www.log24.com/log/pix06A/060517-StarAndDiamond.bmp” cannot be displayed, because it contains errors.

“My God, it’s
full of stars!”

Monday, June 10, 2019

Revelations of a Transcendental Subject

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

(Namely, Plato's ghost)

Background: "Transcendental subject" is Kant's term for, more or less, the self.

Rosalind Krauss in 1978 —

"To get inside the systems of this work,
whether LeWitt's or Judd's or Morris's,
is precisely to enter
a world without a center,
a world of substitutions and transpositions 
nowhere legitimated by the revelations
of a transcendental subject. This is the strength
of this work, its seriousness, and its claim to modernity." 

More from Krauss —

A book by an author with somewhat wider "cultural experience" —

See also "Plato's Diamond" in this journal.

Saturday, June 8, 2019

Nowhere Legitimated

Filed under: General — Tags: — m759 @ 10:28 PM

Tuesday, May 21, 2019

Inside the White Cube

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

(Continued)

Monday, May 20, 2019

The Bond with Reality

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


"The bond with reality is cut."

— Hans Freudenthal, 1962

Indeed it is.

Friday, May 10, 2019

Desperately Seeking Resonance

Filed under: General — Tags: , , — m759 @ 10:46 AM

Continues

Also from Fall Equinox 2018 — Looney Tune for Physicists

Tuesday, May 7, 2019

Breach

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

"Honored in the Breach:
Graham Bader on Absence as Memorial"

Artforum International , April 2012 

. . . .

"In the wake of a century marked by inconceivable atrocity, the use of emptiness as a commemorative trope has arguably become a standard tactic, a default style of public memory. The power of the voids at and around Ground Zero is generated by their origin in real historical circumstance rather than such purely commemorative intent: They are indices as well as icons of the losses they mark.

Nowhere is the negotiation between these two possibilities–on the one hand, the co-optation of absence as tasteful mnemonic trope; on the other, absence's disruptive potential as brute historical scar–more evident than in Berlin, a city whose history, as Andreas Huyssen has argued, can be seen as a 'narrative of voids.' Writing in 1997, Huyssen saw this tale culminating in Berlin's post-wall development, defined equally by an obsessive covering-over of the city's lacunae–above all in the elaborate commercial projects then proliferating in the miles-long stretch occupied until 1989 by the Berlin Wall–and a carefully orchestrated deployment of absence as memorial device, particularly in the 'voids' integrated by architect Daniel Libeskind into his addition to the Berlin Museum, now known as the Jewish Museum Berlin."
. . . .

See also Breach  in this  journal. 

Monday, May 6, 2019

One Stuff

Filed under: General — Tags: , , , — m759 @ 1:17 PM

Building blocks?

From a post of May 4

Structure of the eightfold cube

See also Espacement  and The Thing and I.

Saturday, May 4, 2019

Inside the White Cube

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

Structure of the eightfold cube

See also Espacement  and The Thing and I.

Wednesday, April 24, 2019

Critical Visibility

Filed under: General — Tags: , , , , — m759 @ 8:24 AM

Correction — "Death has 'the whole spirit sparkling…'"
should be "Peace after death has 'the whole spirit sparkling….'" 
The page number, 373, is a reference to Wallace Stevens:
Collected Poetry and Prose
, Library of America, 1997.

See also the previous post, "Critical Invisibility."

Tuesday, April 23, 2019

Critical Invisibility

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

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

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

On "The Emperor's New Clothes" —

Andersen’s weavers, as one commentator points out, are merely insisting that “the value of their labor be recognized apart from its material embodiment.” The invisible cloth they weave may never manifest itself in material terms, but the description of its beauty (“as light as spiderwebs” and “exquisite”) turns it into one of the many wondrous objects found in Andersen’s fairy tales. It is that cloth that captivates us, making us do the imaginative work of seeing something beautiful even when it has no material reality. Deeply resonant with meaning and of rare aesthetic beauty—even if they never become real—the cloth and other wondrous objets d’art have attained a certain degree of critical invisibility.

—  Maria Tatar, The Annotated Hans Christian Andersen  (W. W. Norton & Company, 2007). Kindle Edition. 

A Certain Dramatic Artfulness

Filed under: General,Geometry — Tags: , , , , — m759 @ 11:43 AM

See also a book found in a Log24 search for Tillich

Monday, March 25, 2019

Espacement

Filed under: General — Tags: , , , , — m759 @ 1:46 PM

(Continued from the previous post.)

In-Between "Spacing" and the "Chôra "
in Derrida: A Pre-Originary Medium?

By Louise Burchill

(Ch. 2 in Henk Oosterling & Ewa Plonowska Ziarek (Eds.),  Intermedialities: Philosophy, Arts, Politics , Lexington Books, October 14, 2010)

"The term 'spacing' ('espacement ') is absolutely central to Derrida's entire corpus, where it is indissociable from those of différance  (characterized, in the text from 1968 bearing this name, as '[at once] spacing [and] temporizing' 1), writing  (of which 'spacing' is said to be 'the fundamental property' 2) and deconstruction (with one of Derrida's last major texts, Le Toucher: Jean-Luc Nancy , specifying 'spacing ' to be 'the first word of any deconstruction' 3)."

1  Jacques Derrida, “La Différance,” in Marges – de la philosophie  (Paris: Minuit, 1972), p. 14. Henceforth cited as  D  .

2  Jacques Derrida, “Freud and the Scene of Writing,” trans. A. Bass, in Writing and  Difference  (Chicago: University of Chicago Press, 1978), p. 217. Henceforth cited as FSW .

3  Jacques Derrida, Le Toucher, Jean-Luc Nancy  (Paris: Galilée, 2000), p. 207.

. . . .

"… a particularly interesting point is made in this respect by the French philosopher, Michel Haar. After remarking that the force Derrida attributes to différance  consists simply of the series of its effects, and is, for this reason, 'an indefinite process of substitutions or permutations,' Haar specifies that, for this process to be something other than a simple 'actualisation' lacking any real power of effectivity, it would need “a soubassement porteur ' – let’s say a 'conducting underlay' or 'conducting medium' which would not, however, be an absolute base, nor an 'origin' or 'cause.' If then, as Haar concludes, différance  and spacing show themselves to belong to 'a pure Apollonism' 'haunted by the groundless ground,' which they lack and deprive themselves of,16 we can better understand both the threat posed by the 'figures' of space and the mother in the Timaeus  and, as a result, Derrida’s insistent attempts to disqualify them. So great, it would seem, is the menace to différance  that Derrida must, in a 'properly' apotropaic  gesture, ward off these 'figures' of an archaic, chthonic, spatial matrix in any and all ways possible…."

16  Michel Haar, “Le jeu de Nietzsche dans Derrida,” Revue philosophique de la France et de l’Etranger  2 (1990): 207-227.

. . . .

… "The conclusion to be drawn from Democritus' conception of rhuthmos , as well as from Plato's conception of the chôra , is not, therefore, as Derrida would have it, that a differential field understood as an originary site of inscription would 'produce' the spatiality of space but, on the contrary, that 'differentiation in general' depends upon a certain 'spatial milieu' – what Haar would name a 'groundless ground' – revealed as such to be an 'in-between' more 'originary' than the play of differences it in-forms. As such, this conclusion obviously extends beyond Derrida's conception of 'spacing,' encompassing contemporary philosophy's continual privileging of temporization in its elaboration of a pre-ontological 'opening' – or, shall we say, 'in-between.'

For permutations and a possible "groundless ground," see
the eightfold cube and group actions both on a set of eight
building blocks arranged in a cube (a "conducting base") and
on the set of seven natural interstices (espacements )  between
the blocks. Such group actions provide an elementary picture of
the isomorphism between the groups PSL(2,7) (acting on the
eight blocks) and GL(3,2) (acting on the seven interstices).

Espacements
 

For the Church of Synchronology

See also, from the reported publication date of the above book
Intermedialities , the Log24 post Synchronicity.

Sunday, March 24, 2019

Espacement: Geometry of the Interstice in Literary Theory

Filed under: General — Tags: , , , , — m759 @ 3:28 AM

"You said something about the significance of spaces between
elements being repeated. Not only the element itself being repeated,
but the space between. I'm very interested in the space between.
That is where we come together." — Peter Eisenman, 1982

https://www.parrhesiajournal.org/
parrhesia03/parrhesia03_blackburne.pdf

Parrhesia  No. 3 • 2007 • 22–32

(Up) Against the (In) Between: Interstitial Spatiality
in Genet and Derrida

by Clare Blackburne

Blackburne — www.parrhesiajournal.org 24 —

"The excessive notion of espacement  as the resurgent spatiality of that which is supposedly ‘without space’ (most notably, writing), alerts us to the highly dynamic nature of the interstice – a movement whose discontinuous and ‘aberrant’ nature requires further analysis."

Blackburne — www.parrhesiajournal.org 25 —

"Espacement  also evokes the ambiguous figure of the interstice, and is related to the equally complex derridean notions of chora , différance , the trace and the supplement. Derrida’s reading of the Platonic chora  in Chora L Works  (a series of discussions with the architect Peter Eisenman) as something which defies the logics of non-contradiction and binarity, implies the internal heterogeneity and instability of all structures, neither ‘sensible’ nor ‘intelligible’ but a third genus which escapes conceptual capture.25 Crucially, chora , spacing, dissemination and différance  are highly dynamic concepts, involving hybridity, an ongoing ‘corruption’ of categories, and a ‘bastard reasoning.’26 Derrida identification of différance  in Margins of  Philosophy , as an ‘unappropriable excess’ that operates through spacing as ‘the becoming-space of time or the becoming-time of space,’27 chimes with his description of chora  as an ‘unidentifiable excess’ that is ‘the spacing which is the condition for everything to take place,’ opening up the interval as the plurivocity of writing in defiance of ‘origin’ and ‘essence.’28  In this unfolding of différance , spacing  ‘insinuates  into  presence an  interval,’29 again alerting us to the crucial role of the interstice in deconstruction, and, as Derrida observes  in Positions ,  its  impact  as  ‘a movement,  a  displacement  that  indicates  an  irreducible alterity’: ‘Spacing is the impossibility for an identity to be closed on itself, on the inside of its proper interiority, or on its coincidence with itself. The irreducibility of spacing is the irreducibility of the other.’30"

25. Quoted in Jeffrey Kipnis and Thomas Leeser, eds., 
Chora L Works. Jacques Derrida and Peter Eisenman  
(New York: The Monacelli Press, 1997), 15.

26. Ibid, 25.

27. Derrida, Margins of Philosophy.
(Brighton: The Harvester Press, 1982), 6 and 13.

28. Derrida, Chora L Works , 19 and 10.

29. Ibid, 203.

30. Derrida, Positions , 94.

Saturday, March 23, 2019

Another Typology

Filed under: General — Tags: , , — m759 @ 11:04 AM

"You said something about the significance of spaces between
elements being repeated. Not only the element itself being repeated,
but the space between. I'm very interested in the space between.
That is where we come together." — Peter Eisenman, 1982

Thursday, March 21, 2019

Geometry of Interstices

Filed under: General — Tags: , , , — m759 @ 10:18 PM

Finite Galois geometry with the underlying field the simplest one possible —
namely, the two-element field GF(2) — is a geometry of  interstices :

For some less precise remarks, see the tags Interstice and Interality.

The rationalist motto "sincerity, order, logic and clarity" was quoted
by Charles Jencks in the previous post.

This  post was suggested by some remarks from Queensland that
seem to exemplify these qualities —

Friday, March 15, 2019

Nailing Down the Words †

Filed under: General — Tags: — m759 @ 10:40 PM

From a belated New York Times  obituary this evening

"Ms. Iglauer died on Feb. 13 at a hospital
in Sechelt, British Columbia. She was 101."
[Link added.]

See also the previous two posts.

Unpunctuated

Filed under: General — Tags: — m759 @ 9:57 PM

out of the horn of dreams of my own life
I wake again into the laughing child

W. S. Merwin

Punctuated

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

The poet W. S. Merwin reportedly died  today. 

“Punctuation basically has to do with prose
and the printed word,” he said in the Paris Review
interview. “I came to feel that punctuation was like
nailing the words onto the page. Since I wanted
instead the movement and lightness of the spoken
word, one step toward that was to do away with
punctuation.”

— Margalit Fox in The New York Times

See as well Snakes (on a plane) in this  journal.

Networking

Filed under: General — Tags: , — m759 @ 1:30 PM

See also this  journal on the "Illuminati Tinder" date, June 27, 2018.

Related material — Posts tagged QDOS.

Tuesday, March 5, 2019

The Eightfold Cube and PSL(2,7)

Filed under: General,Geometry — Tags: , — m759 @ 10:45 PM

For PSL(2,7), this is ((49-1)(49-7))/((7-1)(2))=168.

The group GL(3,2), also of order 168, acts naturally
on the set of seven cube-slicings below —

Another way to picture the seven natural slicings

Application of the above images to picturing the
isomorphism of PSL(2,7) with GL(3,2) —

Why PSL(2,7) is isomorphic to GL(3.2)

For a more detailed proof, see . . .

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

Saturday, March 2, 2019

Wikipedia Scholarship (Continued):

Filed under: General — Tags: , — m759 @ 11:21 AM

Ignotum per Ignotius

A Log24 post from yesterday afternoon has the following

Commentary —

Friday, March 1, 2019

Wikipedia Scholarship (Continued)

Filed under: General — Tags: , , — m759 @ 12:45 PM

This post continues a post from yesterday on the square model of
PG(3,2) that apparently first appeared (presented as such*) in . . .

Cullinane, "Symmetry invariance in a diamond ring,"
Notices of the AMS , pp. A193-194, Feb. 1979.

The Cullinane diamond theorem, AMS Notices, Feb. 1979, pp. A-193-194

Yesterday's Wikipedia presentation of the square model was today
revised by yet another anonymous author —

Revision history accounting for the above change from yesterday —

The jargon "rm OR" means "remove original research."

The added verbiage about block designs is a smokescreen having
nothing to do with the subject, which is square  representation
of the 35 points and lines.

* The 35 squares, each consisting of four 4-element subsets, appeared earlier
   in the Miracle Octad Generator (MOG) of R. T. Curtis (published in 1976).
  They were not at that time  presented as constituting a finite geometry, 
  either affine (AG(4,2)) or projective (PG(3,2)).

Thursday, February 28, 2019

Wikipedia Scholarship

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

Cullinane's Square Model of PG(3,2)

Besides omitting the name Cullinane, the anonymous Wikipedia author
also omitted the step of representing the hypercube by a 4×4 array —
an array called in this  journal a Galois  tesseract.

Monday, February 25, 2019

The Deep Six

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

". . . this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it. . . ."

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

See Six-Set in this journal.

“Far from the shallow now”

Filed under: General,Geometry — Tags: , , , — m759 @ 12:06 AM

See posts tagged depth.

See as well Eddington Song and the previous post.

Sunday, February 24, 2019

Exceeding His Grasp

Filed under: General,Geometry — Tags: , , , — m759 @ 4:09 PM

See also Hudson Hawk in this  journal.

Saturday, January 26, 2019

In Memory of a Composer

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

who reportedly died early today in Paris, a tribute from
those who wrote the English lyrics for "Windmills of Your Mind" —

Legrand tribute related to 'Eddington Song'

Installasjon

Filed under: General,Geometry — Tags: , , — m759 @ 5:13 AM

'Josefine Lyche,' 'Interlock, Interlac, Interweave'

The above cryptic search result indicates that there may
soon be a new Norwegian art installation based on this page
of Eddington (via Log24) —

See also other posts tagged Kummerhenge.

Wednesday, January 23, 2019

Decorated

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

For those who prefer more elaborate decorations —

1.  A Facebook image from last August … 

2.  The Facebook glider suggests a tune from "The Thomas Crown Affair"
     (1968) that appeared in a Dec. 16, 2018 post on Christianity and
     "interlocking names"—

'The Eddington Song'

The revised lyrics describe a square space.

3.  An even more  elaborate square space:
     the Dance of the Snowflakes from
     Balanchine's version of The Nutcracker —

Thursday, January 17, 2019

The Dreaming Jewels’ Nightmares

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

Some Log24 posts related to Theodore Sturgeon's 1950 tale
of The Dreaming Jewels  have been tagged with that title.

For a purely mathematical approach to Sturgeon's concept see . . .

July 6, 2014, Amsterdam master's thesis on geometric models of the Golay code and Mathieu group

For some related nightmares, see July 2014 in this journal.

Wednesday, January 16, 2019

Permutahedron Dream

Filed under: General — Tags: , , , — m759 @ 3:21 PM

The geometric object of the title appears in a post mentioning Bourgain 
in this journalBourgain appears also in today's online New York Times —

https://www.nytimes.com/2019/01/16/
obituaries/jean-bourgain-dead.html
 .

Bourgain reportedly died on December 22.

An image from this journal on that date

Related poetic meditations —

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

The Dreaming Polyhedron

Filed under: General — Tags: , — m759 @ 5:32 AM

"Here is a recipe for preparing a copy of the Mathieu group M24.
The main ingredient is a genus-3 regular polyhedron X
with 56 triangular faces, 84 edges, and 24 vertices.
The most delicate part of this recipe is to hold the polyhedron
by the 24 vertices and immerse the rest of it in 3-dimensional space."

— "How to Make the Mathieu Group M24 ," undated webpage
by David A. Richter, Western Michigan University

Illustration from that page —

Illustration from a webpage by David A. Richter, Western Michigan University

"Another model of the (universal cover of the) polyhedron X"

Related fiction —

Cover of a 1971 British paperback edition of The Dreaming Jewels,  
a story by Theodore Sturgeon (first version published in 1950):

Discuss Richter's model and the Sturgeon tale 
in the context of posts tagged Aitchison.

Thursday, January 10, 2019

Archimedes at Hiroshima

Filed under: General,Geometry — Tags: , , , — m759 @ 7:35 PM

Two examples from the Wikipedia article  "Archimedean solid" —

Iain Aitchison said in a talk last year at Hiroshima that
the Mathieu group M24  can be represented as permuting
naturally the 24 edges  of the cuboctahedron.

The 24 vertices  of the truncated  octahedron are labeled 
naturally by the 24 elements of S4  in a permutahedron

Can M24  be represented as permuting naturally
the 24 vertices  of the truncated octahedron?

 
 

Wednesday, January 9, 2019

Desperately Seeking Clarity*

Filed under: General — Tags: , , — m759 @ 2:10 PM

A much earlier, much truer, obituary —

* A sequel to Resonant Clarity and Desperately Seeking Resonance.

  Quantum electrodynamics  is also known as QED.

Tuesday, January 8, 2019

Desperately Seeking Resonance

Filed under: General — Tags: , , — m759 @ 10:00 AM

'Limbic Resonance'- First episode of 'Sense8.'

"Eight strangers from cities around the globe
begin having experiences that defy explanation."

As do "Burnt Norton" and "Bird Box."

Monday, January 7, 2019

Resonant Clarity

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

Abstract for a talk at the City University of New York:

The Experience of Meaning 
Jan Zwicky, University of Victoria 
09:00-09:40 Friday, April 5, 2013

Once the question of truth is settled, and often prior to it, what we value in a mathematical proof or conjecture is what we value in a work of lyric art: potency of meaning. An absence of clutter is a feature of such artifacts: they possess a resonant clarity that allows their meaning to break on our inner eye like light. But this absence of clutter is not tantamount to 'being simple': consider Eliot's Four Quartets  or Mozart's late symphonies. Some truths are complex, and they are simplified  at the cost of distortion, at the cost of ceasing to be  truths. Nonetheless, it's often possible to express a complex truth in a way that precipitates a powerful experience of meaning. It is that experience we seek — not simplicity per se , but the flash of insight, the sense we've seen into the heart of things. I'll first try to say something about what is involved in such recognitions; and then something about why an absence of clutter matters to them.

For some context, see posts tagged Artifacts.

Sunday, January 6, 2019

For Broom Bridge*

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

GL(2,3) is not unrelated to GL(3,2).

See Quaternion Automorphisms 
and Spinning in Infinity.

* See Wikipedia.

Friday, December 28, 2018

Phenomenology of Viewing

Filed under: General — Tags: — m759 @ 11:58 PM

From a post of December 22, 2018

See as well related posts now tagged Blackline.

Love and Darkness

Filed under: General — Tags: — m759 @ 5:29 PM

Blackline Master

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

From a Log24 post of September 4, 2018, "Identity Crisis" —

http://www.log24.com/log/pix18/180903-Womens_Night_Bingo-at48.41-The_Net.jpg

From the 2011 Spanish film "Verbo" — (Click to enlarge) —

From a  Blackline Master

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