Log24

Wednesday, June 15, 2016

The Garden of Allah

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

Continues .

From "The Back Page," Notices of the American Mathematical Society ,
June-July 2016 —

Related material:  Page 1 of Screenland , April 1923 —

Saturday, January 14, 2012

Derrida at Villanova

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

"As Derrida said at Villanova,
"We wait for something we would not like to wait for.
That is another name for death."

— Brian D. Ingraffia, "Is the Postmodern Post-Secular?,"
p. 50 in Postmodern Philosophy and Christian Thought ,
ed. by Merold Westphal, Indiana University Press, 1999, pp. 44-68

See also Derrida at Villanova in this journal.

The link to Ingraffia's remarks was suggested by
this evening's New York Times  obituaries—

http://www.log24.com/log/pix12/120114-NYTobits-642PM.jpg

Friday, January 6, 2012

The Garden Path

Filed under: General — Tags: — m759 @ 4:01 AM

"Not all those who have sought to decode the symbolism of the Tarot pack
have been occultists; some have been serious scholars…."

— Michael Dummett, The Game of Tarot , Ch. 20

“Eliot by his own admission took the ‘still point of the turning world’
in Burnt Norton  from the Fool in Williams’s The Greater Trumps .”

Humphrey Carpenter, The Inklings , Ballantine Books, 1981, p. 106

From a talk on April 16, 2010, in Cuernavaca

http://www.log24.com/log/pix12/120106-UNAM-slide.jpg

Related material—

IMAGE- 'A Walk in the Noncommutative Garden'

See also The Martial Art of Giving Talks.

(Thanks to Lieven Le Bruyn for his Twelfth Night post on this topic.)

Wednesday, June 3, 2020

Lynchburg Law Continues.

Filed under: General — Tags: — m759 @ 4:45 PM

Flashback to November 22, 2004

Charles Williams  on the
Salem witchcraft trials:

“The afflicted children continued to testify; there entered into the cases
what was called ‘spectral evidence,’ a declaration by the witness that
he or she could see that else invisible shape before them, perhaps hurting them.
It was a very ancient tendency of witnesses, and it had occurred at a number of
trials in Europe.”

— Witchcraft , Meridian Books, Inc., New York,
1959 (first published 1941), page 281

Charles Williams, 'Witchcraft'

The Ghost Writer

Filed under: General — Tags: , , — m759 @ 3:14 PM

See also Litsky’s obituary from All Saints’ Day, 2018.

Litsky reportedly died on October 30, 2018 — Devil’s Night.

Theology for Jews

Filed under: General — Tags: , , — m759 @ 2:42 PM

See also Aloha.

But see as well . . .

Click to enlarge the above story by Paul Meyer, Dayton sports writer.

Tuesday, June 2, 2020

The Imperfect Storm*

Filed under: General — Tags: — m759 @ 10:36 AM

* Update at 10:45 AM EDT —

A title check yields a comedian’s book.

I  prefer Wallace Stevens . . .
See Thunderstorms of Yucatan.

Stormy, Jack.  Jack, Stormy .

Thursday, May 28, 2020

Unity Game

Filed under: General — Tags: , , — m759 @ 11:59 PM

“Old men ought to be explorers.” — T. S. Eliot

Everybody’s lost but me!” — Young Indiana Jones, quoted
in a book review (“Knox Peden on Martin Hägglund”) in
Sydney Review of Books  on May 26 . . .

” Here I am reminded of the words of
the young Indiana Jones alone in the desert,
decades before the Last Crusade:
Everybody’s lost but me.’ “

 Related remarks — Now You See It, Now You Don’t.

Finite Geometry at GitHub

Filed under: General — Tags: , , — m759 @ 5:04 PM

My website on finite geometry is now available
on GitHub at http://m759.github.io/ . The part
of greatest interest to coders is also at
https://repl.it/@m759/View-4x4x4#index.html .

Wednesday, May 20, 2020

Scholarly History

Filed under: General — Tags: — m759 @ 10:39 PM

On “emergence, institutionalization and (importantly) legitimation …
(with its resource allocation system and authority structure)” —

“It’s still the same old story.” — Song lyric

See as well other posts now tagged Raiding Minsky’s.

Something to Look At

Filed under: General — Tags: , — m759 @ 4:24 PM

Stephen Ornes in Quanta Magazine  today

ARTIFICIAL INTELLIGENCE:
Symbolic Mathematics Finally Yields to Neural Networks

“Another possible direction for the neural net to explore
is the development of automated theorem generators.
Mathematicians are increasingly investigating ways to
use AI to generate new theorems and proofs, though
‘the state of the art has not made a lot of progress,’
Lample said.  ‘It’s something we’re looking at.’ “

As is Stephanie Dick.

Mathematics as a Black Art

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

Sunday, May 17, 2020

Gran Torino

Filed under: General — Tags: — m759 @ 3:55 PM

Source citation for an article quoted here last night

Hegel’s Conceptual Group Action —

A check of that source yields the seal of the University of Torino —

Related material —

Saturday, May 16, 2020

Bullshit Studies

Filed under: General — Tags: — m759 @ 11:59 PM

From https://www.mathunion.org/outreach/logos/versions-all-logos

Click the logo for some IMU history.

Related bullshit —

Hegel’s Conceptual Group Action

Click the banner below for the background of the logo

Monday, May 11, 2020

Nietzsche for Comedians

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

See also Shangri-La  and  “At the Back of the North Wind .”

Update from the Times —

Some things that happen for the first time….” — Song lyric

Sunday, May 10, 2020

Plato Again Thanks the Academy

Filed under: General — Tags: — m759 @ 10:41 PM

I prefer  The Pride of Lowell —

IMAGE- Scenes from 'The Fighter'- Amy Adams, Christian Bale

Some literary background— Doctor Sax.

Thursday, May 7, 2020

Now You See It, Now You Don’t

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

“Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyahquoted here on April 4, 2016

 

Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.

Friday, May 1, 2020

The H-State

Filed under: General — Tags: , , — m759 @ 9:27 PM

Related pure mathematics —

The Escape from Plato’s Cave to . . .

See also Numberland and Walpurgisnacht Geometry.

Bullshit Studies

Filed under: General — Tags: , , — m759 @ 2:55 PM

The following passage is from Amanda Gefter’s  Trespassing
on Einstein’s Lawn  (Bantam Books, 2014).

You know the story of Plato’s cave?” my father asked. “All the prisoners are chained up in the cave and they can’t see the real world outside, only the shadows on the wall? That’s supposed to be a negative thing, like they’ll never know reality. But the truth is, you have to be stuck inside a limited reference frame for there to be any reality at all! If you weren’t chained to your light cone, you’d see nothing. The H-state.”

I nodded. “You’d have no information. You need the broken symmetry, the shadow, to have information and information gives rise to the world. It from bit.”

I couldn’t help but grin with excitement. The message was clear: having a finite frame of reference creates the illusion of a world, but even the reference frame itself is an illusion. Observers create reality, but observers aren’t real. There is nothing ontologically distinct about an observer, because you can always find a frame in which that observer disappears: the frame of the frame itself, the boundary of the boundary.

“If physicists discover an invariant someday, the game will be up,” my father mused. “That would rule out the hypothesis that the universe is really nothing.”

That was true. But so far, at least, every last invariant had gone the way of space and time, rendered relative and observer-dependent. Spacetime, gravity, electromagnetism, the nuclear forces, mass, energy, momentum, angular momentum, charge, dimensions, particles, fields, the vacuum, strings, the universe, the multiverse, the speed of light— one by one they had been downgraded to illusion. As the surface appearance of reality fell away, only one thing remained. Nothing.

My path to Gefter’s father’s musing led from a quotation attributed,
probably falsely, to John Archibald Wheeler on page 52 of Octavio
Paz’s  Claude Lévi-Strauss: An Introduction  (Cornell, 1970)

“There is a point at which

‘something is nothing and nothing is something.’

The quote may actually be by AP writer John Barbour reporting
on a 1967 American Physical Society talk by Wheeler, “The End
of Time.”

Gefter mentions Wheeler 369 times:

See as well Introduction to Quantum Woo.

Wednesday, April 29, 2020

Curtis at Pilsen, Thursday, July 5, 2018

Filed under: General — Tags: , — m759 @ 11:48 AM

For an account by R. T. Curtis of how he discovered the Miracle Octad Generator,
see slides by Curtis, “Graphs and Groups,” from his talk on July 5, 2018, at the
Pilsen conference on algebraic graph theory, “Symmetry vs. Regularity: The first
50 years since Weisfeiler-Leman stabilization” (WL2018).

See also “Notes to Robert Curtis’s presentation at WL2018,by R. T. Curtis.

Meanwhile, here  on July 5, 2018

Simultaneous perspective does not look upon language as a path because it is not the search for meaning that orients it. Poetry does not attempt to discover what there is at the end of the road; it conceives of the text as a series of transparent strata within which the various parts—the different verbal and semantic currents—produce momentary configurations as they intertwine or break apart, as they reflect each other or efface each other. Poetry contemplates itself, fuses with itself, and obliterates itself in the crystallizations of language. Apparitions, metamorphoses, volatilizations, precipitations of presences. These configurations are crystallized time: although they are perpetually in motion, they always point to the same hour—the hour of change. Each one of them contains all the others, each one is inside the others: change is only the oft-repeated and ever-different metaphor of identity.

— Paz, Octavio. The Monkey Grammarian
(Kindle Locations 1185-1191).
Arcade Publishing. Kindle Edition.

The 2018 Log24 post containing the above Paz quote goes on to quote
remarks by Lévi-Strauss. Paz’s phrase “series of transparent strata”
suggests a review of other remarks by Lévi-Strauss in the 2016 post
Key to  All Mythologies.

Sunday, April 19, 2020

Easter Egg for Wittgenstein

Filed under: General — Tags: — m759 @ 1:24 PM

A language game on Orthodox Easter —

See also Geometric Theology and Trinity Staircase.

Friday, April 17, 2020

A Mechanism of Fission

Filed under: General — Tags: , — m759 @ 3:01 PM

The above title was suggested by the previous post, Explosive Remarks.

'On Froebel's Third Gift,' from 'Paradise of Childhood,' 1906

Explosive Remarks

Filed under: General — Tags: — m759 @ 2:15 PM

Here is the background to Wheeler’s explosive remarks.

John Archibald Wheeler, director of the Center
for Theoretical Physics at the University of Texas,
is one of the world’s top theoretical physicists.
In 1939 he and Niels Bohr published a paper on
‘The Mechanism of Nuclear Fission”
that laid the groundwork for atomic and hydrogen bombs.
Wheeler later played major roles in their development.”

For a rather different explosion of Wheeler’s views, see the previous post.

Introduction to Quantum Woo

Filed under: General — Tags: — m759 @ 1:07 AM

“In his big book, Gravity  [sic ], Wheeler puts our space
into what he calls superspace, and speculates on the
most basic physical laws which operate on superspace.
He comes to the (to me) surprising conclusion that the
rock-bottom laws are the laws of the propositional calculus!”

— Martin Gardner, letter to Donald E. Knuth, 8 January 1976,
on cover of Notices of the American Mathematical Society ,
March 2011 issue.

Fact check —

Related reading —

Sunday, April 5, 2020

Plan 9 from The New York Times

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

Click the image above for a tweet on the advertised IQ test.

Click the image below for the tweet’s details of the IQ test’s billing plan.

The Ghost in the Shell

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

Wednesday, April 1, 2020

The Ghost

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

Related material —

Sunday’s Plan 9 from Yale  as well as

http://www.arcadiainstitution.org/?page_id=16  and

https://www.flickr.com/photos/lselibrary/4114751310/in/photolist-7gBbd7.

Sunday, March 29, 2020

Metatextuality at Yale

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

See also this  journal on the date — February 19, 2009
of the above Ibsen opening, as well as today’s previous post.

Plan 9 from Yale

Filed under: General — Tags: — m759 @ 3:48 PM

Play ‘Stella by Starlight’ for Lady Macbeth” — Bob Dylan

Friday, March 27, 2020

Annals of Literature

Filed under: General — Tags: — m759 @ 7:58 AM

Recent posts now tagged Paycheck suggest . . .

Related material —

See too “The Bond with Reality” in posts tagged Voids.

The Lottery Midrash

Filed under: General — Tags: — m759 @ 6:55 AM

NY Lottery numbers, midday and evening, March 26, 2020

For yesterday’s midday 179, see interpellation.

For yesterday’s evening 376, see transparencies.

Thursday, March 26, 2020

Line for a National Comedy Center

Filed under: General — Tags: — m759 @ 9:05 AM

Log24 last Sunday:

Two years earlier —

Saturday Night Live on March 24, 2018 (a repeat) —

Related literature: The 1953 Philip K. Dick story
Paycheck” —

A punchline for Saoirse —

Manly, yes, but I like it too.”

Wednesday, March 25, 2020

Spectral Evidence

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

See the recent post “On the Spectrum” and

See also The Matthias Defense.

Sunday in the Park

Filed under: General — Tags: — m759 @ 6:56 AM

Some notes suggested by recent posts now also tagged Three Days

Sporkin in 1975, according to his obituary in this morning’s print edition
of The New York Times

He reportedly died at 88 of natural causes on Monday, March 23.

Tuesday, March 24, 2020

No Ordinary Venue

Filed under: General — Tags: , — m759 @ 4:24 AM

See the above title in this journal.  See also the Paradiso in Amsterdam.

 

Sunday, March 22, 2020

Three Days of the Breakthrough Institute

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

For the Institute itself, see a March 9 death.

Related drama — Three Days in this journal and . . .

Tuesday, March 17, 2020

Geometric Theology

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

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

Sunday, March 15, 2020

The “Octad Group”

Filed under: General — Tags: — m759 @ 4:17 PM

The phrase “octad group” discussed here in a post
of March 7 is now a domain name, “octad.group,”
that leads to that post. Remarks by Conway and
Sloane now quoted there indicate how the group
that I defined in 1979 is embedded in the large
Mathieu group M24.

Related literary notes — Watson + Embedding.

Saturday, March 14, 2020

Compare and Contrast.

Filed under: General — Tags: , , — m759 @ 9:38 PM

Logos —

See also Devs .

Possession

Filed under: General — Tags: — m759 @ 7:09 AM

Detail of Box Style I Ching: Hexagram 14.

Click the above image for details.

There was, however, a challenge by Cozzens himself:

Cozzens replies to Macdonald, March 1958

The apparent source:

 

Friday, March 13, 2020

Missa Brevis

Filed under: General — Tags: , — m759 @ 9:19 PM

In memory of a composer who reportedly died on Wednesday,
March 11, 2020 —

From a   synchronology  check

Wednesday, March 11, 2020

Hunger Game for a “Pop Culture Star”

Filed under: General — Tags: , , — m759 @ 9:46 PM

"A hunger to be more serious"

Arts & Letters Daily  on the late
    George Steiner, who reportedly
    died on February 3, 2020

The New York Times  on a Sunday death —

A Midrash —

Serious —

Elegy for a Language Animal

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

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.

 
 

Tuesday, March 10, 2020

Labeling a Cuboctahedron

Filed under: General — Tags: , , — m759 @ 12:01 PM

The above arrangement of graphic images on  cube faces is purely
decorative and static, and of  little mathematical interest. 

(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the "Cosets in S4" picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose "Connoisseur
of Chaos" first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)

If mathematically interesting  permutations of the graphic images
are to be done, the images should be imagined as situated on 
parallel  planes, as in the permutahedron below —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

Click the above permutahedron for an analysis of its structure.

Monday, March 9, 2020

“Archimedes at Hiroshima” Continues.

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

A figure from this journal on June 1, 2019

The following figure may help relate labelings of the
truncated octahedron ("permutahedron") to labelings
of its fellow Archimedean solid, the cuboctahedron.

See as well other posts tagged Aitchison.

 
 

Max von Sydow

Filed under: General — Tags: , — m759 @ 9:08 AM

The Bucharest Wheel

Filed under: General — Tags: , — m759 @ 8:14 AM

From the Bucharest author in last night's 12:12 AM post

From this  journal on the above date, Feb. 16, 2011 —

The Bucharest Cross

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

For fans of "The Zero Theorem" —

The 24 permutations of S4 arranged on a cube
by Cristi Stoica of Bucharest at
http://www.unitaryflow.com/2009/06/polyhedra-and-groups.html:

Sunday, March 8, 2020

A Tool

Filed under: General — Tags: — m759 @ 2:23 PM

Detail: 

Click on the above date for further details.

Wednesday, March 4, 2020

Architect’s Elegy

Filed under: General — Tags: , — m759 @ 2:31 PM

On Boston's Hancock Tower:

"I reflect that all art, all beauty, is reflection."

Fictional character by John Updike (July 1976)

The architect of the tower reportedly died Monday.

See as well "Reflections: Disturbing the Universe I"
by the late Freeman Dyson in The New Yorker
issue dated August 6, 1979.

A reflection I prefer:

Monday, March 2, 2020

The Alohomora Code

Filed under: General — Tags: — m759 @ 10:02 PM

Entertainment and More  Entertainment

Filed under: General — Tags: — m759 @ 2:33 PM

Eye of the Beholder

Filed under: General — Tags: , — m759 @ 1:53 PM

Sunday, March 1, 2020

Notes Towards the Ministry of Culture

Filed under: General — Tags: — m759 @ 8:22 PM

Same Staircase, Different Day

Filed under: General — Tags: , , — m759 @ 2:18 PM

Freeman Dyson on his staircase at Trinity College
(University of Cambridge) and on Ludwig Wittgenstein:

“I held him in the highest respect and was delighted
to find him living in a room above mine on the same
staircase. I frequently met him walking up or down
the stairs, but I was too shy to start a conversation.”

Frank Close on Ron Shaw:

“Shaw arrived there in 1949 and moved into room K9,
overlooking Jesus Lane. There is nothing particularly
special about this room other than the coincidence that
its previous occupant was Freeman Dyson.”

— Close, Frank. The Infinity Puzzle  (p. 78).
Basic Books. Kindle Edition.

See also other posts now tagged Trinity Staircase.

Illuminati enthusiasts  may enjoy the following image:

'Ex Fano Apollinis'- Fano plane, eightfold cube, and the two combined.

Saturday, February 29, 2020

Potter’s Staircase

Filed under: General — Tags: — m759 @ 11:48 PM

See as well "Up the Trinity Staircase" (yesterday afternoon)
and "British Pottery" (Log24 , December 22, 2018).

Friday, February 28, 2020

Up the Trinity Staircase

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

Or:  The Newman Prize  Continues.

Freeman Dyson reportedly died todayIn memoriam ,
some remarks by Dyson from Hiroshima Day 1979 —

(Click to enlarge.)

Sunday, February 23, 2020

The Representation of Reality

Filed under: General — Tags: — m759 @ 1:36 PM

"Although art is fundamentally everywhere and always the same,
nevertheless two main human inclinations, diametrically opposed
to each other, appear in its many and varied expressions. ….
The first aims at representing reality objectively, the second subjectively." 

Mondrian, 1936  [Links added.]

An image search today (click to enlarge) —

Image search for 'Eightfold Cube'

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.

Monday, February 3, 2020

Another Opening, Another Show

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

Notification

Filed under: General — Tags: , — m759 @ 2:24 PM

George Steiner, death notification, 2:20 PM ET

See as well a Steiner book cover in Art Space, a post of May 7, 2017.

Ereignis*

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

A sequel to Xmas Eve 2019

* "Ereignis  appears in Heidegger's later works
    and is not easily summarized." — Wikipedia 

Tuesday, January 28, 2020

Once Upon a Time in Laurel Canyon

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

In memory of a screenwriter who reportedly died today

"Ms. Frank lived in Laurel Canyon in the Hollywood Hills…."
The New York Times  today

"Here, under the shadow of the great tree, I have found peace."
Mike Nichols in 1965

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 …

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.)

Smart Jewish Girl*…

Filed under: General — Tags: , — m759 @ 11:41 AM

Suggests the word dreamlogic. And so

"You are getting sleepy, very sleepy "

"In this state of free-association, each new thought
resembles or overlaps or somehow connects-to
the previous thought. As our alertness continues to fall —
as we continue to grow more tired — we lose contact with
external reality.

'The sweetness/ of the gentle world you had made for him
dissolving beneath/ his drowsy eyelids, into the foretaste of
sleep — .'  (Rilke, transl. Stephen Mitchell.) Eventually we
sleep and dream."

— Edge.org, "Dream-logic, the Internet and Artificial Thought,"
by David Gelernter [7.7.10]

* Aimee Lucido

Wheel Turnin’ ’Round and ’Round

Filed under: General — Tags: , — m759 @ 2:21 AM

 

Thursday, January 23, 2020

Exploring Schoolgirl Space…

Filed under: General — Tags: , — m759 @ 11:59 PM

Continued .

"Old men ought to be explorers." — T. S. Eliot.

Rose the Hat in her younger days.

See as well Barsotti in this journal.

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.

Columbus Day 2004

Filed under: General — Tags: , , — m759 @ 2:02 PM

A followup to the previous post:

Related material — A web page on chess cached for use in a
Log24 post on the date of the above post, Columbus Day, 2004.

Obit et Orbit Continues.

Filed under: General — Tags: , , — m759 @ 2:02 AM

Obit et Orbit.

In memoriam

"Doug co-founded the Secure Machine Learning research group
in 2004, focused on defining how adversaries can influence and
manipulate machine learning algorithms and how to make them
robust against such attacks, culminating in a recently published
book, Adversarial Machine Learning , with a colleague and two
former students." 

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.

Friday, January 17, 2020

September Morn

Filed under: General — Tags: — m759 @ 10:17 PM

Epigraph from Ch. 4 of Design Theory , Vol. I:

"Es is eine alte Geschichte,
 doch bleibt sie immer neu 
"
 —Heine (Lyrisches Intermezzo  XXXIX)

This epigraph was quoted here earlier on
the morning of September 1, 2011.

Design Theory

Filed under: General — Tags: , — m759 @ 12:57 PM

On a recently deceased professor emeritus of architecture
at Princeton —

"… Maxwell  'established the school as a principal
center of design research, history and theory.' ”

"This is not the Maxwell you're looking for."

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.

A Very Stable Cornfield

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

"We show deeper implications of this simple principle,
by establishing a connection with the interplay
of orbits and stabilizers of group actions."

See also Dark Fields , a post featuring a work of philosophy
translated, reportedly, by one "Francis MacDonald Cornfield"

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

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

The Crimson Passion* Continues

Filed under: General — Tags: — m759 @ 12:13 AM

Related material — Earlier posts now also tagged Uncanny Valley,
esp. Xmas Colors: Green to Red.

* See a  search for Crimson Passion in this  journal.

Sunday, January 12, 2020

Plastic Elements

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

"Step by step, Kepes follows the liberation of the plastic elements:
lines, planes, and colors, and the creation of a world of forms of our own.
The spatial conception interconnects the meaning fragments and
binds them together just as in another period perspective did when it used
a single station point for naturalistic representation."

— S. Giedion, introduction to Language of Vision  by Gyorgy Kepes 

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:

Tuesday, January 7, 2020

Invisible Weaving

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

See as well a post from this journal on the above date
June 12, 2014. (That post revisits a post from today's  date —
January 7 — eight years ago, in 2012.)

Related material:  Dharma Fabric and Symplectic.

Dharma Fabric

Filed under: General — Tags: — m759 @ 8:42 AM

Lines from "Description Without Place" —

"An age is green or red. An age believes

Or it denies. An age is solitude
Or a barricade against the singular man

By the incalculably plural."

— Wallace Stevens

Monday, January 6, 2020

Art for Optimus Prime

Filed under: General — Tags: — m759 @ 8:35 PM

A 2020 Manifesto

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

Art as Experience (Minus Baldessari)

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

In memory of an artist who reportedly died in Venice, CA, on Jan. 2 —

Two quotes from the website Quotes Sayings

"I always felt like I was right out of Dickens, looking in the window
of the Christmas feast, but not at the feast." — John Baldessari

"A TWO-DIMENSIONAL SURFACE WITHOUT ANY ARTICULATION
IS A DEAD EXPERIENCE" — John Baldessari

The "dead experience" quote is actually from Gyorgy Kepes:

Saturday, January 4, 2020

Welcome to the Uncanny Valley Country Club

Filed under: General — Tags: — m759 @ 12:44 PM

The previous post  suggests a look at some Robot Apocalypse  remarks:

Related material —

This  journal on the above Stranger Dimensions date —

"Thus the theory of description matters most. 
It is the theory of the word for those 

For whom the word is the making of the world…." 

— Wallace Stevens, "Description Without Place, VII"

See also Finite Relativity (St. Cecilia's Day, 2012).

Some other lines from "Description Without Place" —

"An age is green or red. An age believes

Or it denies. An age is solitude
Or a barricade against the singular man

By the incalculably plural."

Xmas Colors: Green to Red

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

The above story from Salon.com this morning suggests 
a Salon.com Christmas review :

Sunday, December 29, 2019

Springer Link

Filed under: General — Tags: , , — m759 @ 5:08 PM

Related reading

"I closed my eyes and saw the number 137—
so very close to the reciprocal of alpha—
on the chest of the runner in Van Cortlandt Park.
Should I start the story there? "

— Alpert, Mark.  Saint Joan of New York
(Science and Fiction) (p. 103).
Springer International Publishing. Kindle edition. 

Cover detail:

See as well St. Joan in this  journal.

Friday, December 27, 2019

The Secret Life of Mark Alpert

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

Booklist on Final Theory :

"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."

Booklist on The Omega Theory

"Alpert’s follow-up to his acclaimed first novel, Final Theory  (2008),
continues the adventures of science historian David Swift."

See as well this  journal on June 1, 2008.

God in the Object…

Filed under: General — Tags: — m759 @ 7:55 AM

. . . Pace  Wallace Stevens.

"The history of the universe can thus be seen as
an endless chain of changes, but Aquinas argued
that there must be some transcendent entity that
initiated the chain, something that is itself
unchanging and that already possesses all of the
properties that worldly objects can come to possess.
He also claimed that this entity must be eternal;
because it is the root of all causes, nothing else
could’ve caused it. And unlike all worldly objects,
the transcendent entity is necessary—it must  exist."

— Mark Alpert in Scientific American, 12/23/2019

Tuesday, December 24, 2019

Stille Nacht

Filed under: General — Tags: , — m759 @ 11:55 PM

Later in the film "He's not Einstein You're  Einstein."

Related material at the University of Iowa —

See as well this  journal on the above Daily Iowan  date.

Lucy Noir …

Filed under: General — Tags: , — m759 @ 10:21 AM

… Continued from August 26

Heidegger, "Hölderlin and the Essence of Poetry,"
translated by Douglas Scott, in Existence and Being  ,
Regnery, 1949, pp. 291-316—

IMAGE- Page 304 of Heidegger's 'Existence and Being' - Heidegger's essay 'Hölderlin and the Essence of Poetry,' tr. by Douglas Scott, publ. by Henry Regnery Company, Chicago, in 1949

See as well Readings for St. Patrick's Day, March 17, 2005.

Saturday, December 21, 2019

Last of the God Professors

Filed under: General — Tags: — m759 @ 10:32 AM

From some autobiographical remarks by Simon During,
who was featured in the previous post

For more on the phrase "god professor," see

"The Ownership of Knowledge in Higher Education
in Australia 1939-1996
," Hannah Forsyth, Ph.D. thesis,
University of Sydney, 2012

Simon During at Utrecht earlier this year

For the Church of Synchronology, other April 11, 2019, remarks —

See in particular the phrase "Eritis sicut dei " in the Log24 remarks.

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).

Gray Space

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

See as well a search for Gray Space in this journal.

Related material:  The Schwartz Omega .

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

— Richard Evan Schwartz

Wednesday, October 23, 2019

Philosophy in a New Key

Filed under: General — Tags: — m759 @ 2:29 AM

(With apologies to Susanne K. Langernée  Susanne Katherina Knauth)

Google search for 'buzzard key proof'

See too the buzzard-related Catch-22 song

Monday, October 21, 2019

Algebra and Space… Illustrated.

Filed under: General — Tags: , — m759 @ 4:26 PM

Related entertainment —

Detail:

   George Steiner

"Perhaps an insane conceit."

 

Perhaps.

 

See Quantum Tesseract Theorem .

 

Perhaps Not.

 

 See Dirac and Geometry .

New Key

Filed under: General — Tags: — m759 @ 4:22 AM

 

Sunday, October 13, 2019

Langer

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

"Visual forms— lines, colors, proportions, etc.—
are just as capable of articulation ,
i.e. of complex combination, as words.
But the laws that govern this sort of articulation
are altogether different from the laws of syntax
that govern language. The most radical difference
is that visual forms are not discursive .
They do not present their constituents successively,
but simultaneously, so the relations determining
a visual structure are grasped in one act of vision."

— Susanne K. LangerPhilosophy in a New Key

Wednesday, October 9, 2019

The Joy of Six

Note that in the pictures below of the 15 two-subsets of a six-set,
the symbols 1 through 6 in Hudson's square array of 1905 occupy the
same positions as the anticommuting Dirac matrices in Arfken's 1985
square array. Similarly occupying these positions are the skew lines
within a generalized quadrangle (a line complex) inside PG(3,2).

Anticommuting Dirac matrices as spreads of projective lines

Related narrative The "Quantum Tesseract Theorem."

Tuesday, October 8, 2019

An Ordinary Day in New Haven

Filed under: General — Tags: — m759 @ 7:30 PM

This  journal on the date of Coe's death 

Related material:  Today's  noon post and a post from August 7, 2006.

Sunday, September 29, 2019

Stage Direction: “Comments Off.”

Filed under: General — Tags: , — m759 @ 11:29 AM

The previous post dealt with “magic” cubes, so called because of the
analogous “magic” squares. Douglas Hofstadter has written about a
different, physical , object, promoted as “the  Magic Cube,” that Hofstadter
felt embodied “a deep invariant”:

Friday, September 27, 2019

Algebra for Schoolgirls

Filed under: General — Tags: , — m759 @ 8:37 AM

The 15 points of the finite projective 3-space PG(3,2)
arranged in tetrahedral form:

The letter labels, but not the tetrahedral form,
are from The Axioms of Projective Geometry , by
Alfred North Whitehead (Cambridge U. Press, 1906).

The above space PG(3,2), because of its close association with
Kirkman's schoolgirl problem, might be called "schoolgirl space."

Screen Rant  on July 31, 2019:

A Google Search sidebar this morning:

Apocalypse Soon!

Thursday, September 26, 2019

Identity

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


Related story:

E is for Einheit

Personalities …

Filed under: General — Tags: , — m759 @ 8:06 AM

For Dan Brown 

It’s a combination of elation and fear, a certain kind of terror,”
Dr. Scott-Warren, a lecturer at Cambridge University, said
Thursday [Sept. 19] in an interview, describing his feelings.

“As a scholar, you get a sense of the fixed landmarks,” he said.
Suddenly to have a new landmark to come right up through
the ground is quite disconcerting; there’s something alarming
about that.”

Wednesday, September 25, 2019

Before Personalities …

Filed under: General — Tags: — m759 @ 6:10 PM

Connecting the Dots

Filed under: General — Tags: , — m759 @ 5:27 PM

"A scholar in England suspected annotations in a First Folio
at the Free Library of Philadelphia were John Milton’s, so he
connected the dots . . . ." — The New York Times  last Thursday

It’s a combination of elation and fear, a certain kind of terror,”
Dr. Scott-Warren, a lecturer at Cambridge University, said
Thursday in an interview, describing his feelings.

“As a scholar, you get a sense of the fixed landmarks,” he said.
Suddenly to have a new landmark to come right up through
the ground is quite disconcerting; there’s something alarming
about that.”
. . . .

"Dr. Scott-Warren  studies the history of books as material objects …."

Language Game

Filed under: General — Tags: , — m759 @ 9:28 AM

Previous posts now tagged Pyramid Game suggest

A possible New Yorker  caption:   " e . . . (ab) . . . (cd) . "

Caption Origins —

Playing with shapes related to some 1906 work of Whitehead:

Hollywood Headlines

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

'Assassin's Creed' . . . . Read more "

 

 

Tuesday, September 24, 2019

Emissary

Filed under: General — Tags: , , — m759 @ 8:04 PM
 

Thursday, September 12, 2019

Tetrahedral Structures

Filed under: General — Tags:  —
m759 @ 8:11 PM 

In memory of a Church emissary  who reportedly died on  September 4 . . . .

Playing with shapes related to some 1906 work of Whitehead:

Saturday, September 21, 2019

Annals of Random Fandom

Filed under: General — Tags: , — m759 @ 5:46 PM

For Dan Brown fans …

… and, for fans of The Matrix, another tale
from the above death date: May 16, 2019 —

An illustration from the above
Miracle Octad Generator post:

Related mathematics — Tetrahedron vs. Square.

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