Meanwhile, in this journal on the above Ice Stone date —
Thursday, December 31, 2020
The Dreaming Jewels . . .
Wednesday, December 30, 2020
Space Force
New Yorker video today, at 14:00-14:25 —
“What’s good about KenKen, and Sudoku, and crosswords,
all of those puzzles like that, is that they have grids to be filled in,
empty squares. I think there is something about human nature
that we want to fill up spaces. And if you’re a puzzle person,
or almost anybody, and you see an empty grid, you want to
put something in those spaces. It gives a feeling of satisfaction
that you don’t get often in life and that really feels good.”
— Will Shortz, New York Times puzzle editor
“I can’t get no… satisfaction….” — The Rolling Stones
The New Yorker recently restarted the Weiner story,
which includes —
“… the fall of 2017, when he began a twenty-one-month
prison sentence for sexting with a minor.”
“You want to put something in those spaces.”
— Will Shortz, New York Times puzzle editor
Yes, you do.
Weiner is now with a Brooklyn countertops company called IceStone.
The Whiteboard Jungle
Detail:
A story in numbers:
It is what it is.
See also the phrase “Beautiful Mathematics” in this journal.
The Sixteenth Subset
A four-set has sixteen subsets. Fifteen of these symbolize the points
of “the smallest perfect universe,”* PG(3,2). The sixteenth is empty.
In memory of . . .
Polish this — “The Nothing That Is.”
* Phrase by Burkard Polster.
Tuesday, December 29, 2020
Raiders of the Lost Coordinates
Memorial by Kinbote for Cardin: WWW
A Harvard student* attempts to summarize Nabokov’s aesthetics —
“Take ‘Pale Fire,’ his 1962 poem-as-novel
bursting with butterfly as theme:
‘I can do what only a true artist can do —
pounce upon the forgotten butterfly of revelation …
see the web of the world,
and the warp and the weft of that web.’ “
“True artist” here refers to Kinbote, not Nabokov.
* Tessa K.J. Haining, Harvard Crimson Contributing Opinion Writer.
Tessa K.J. Haining ’23 lives in Adams House. Her column appears on
alternate Fridays. December 11, 2020.
Monday, December 28, 2020
Theology for the Wiener Kreis
The previous post suggests a look at The New Yorker today —
Another “core claim” —
“Change arises from the structure of the object.“
See also Wiener Kreis and Schlick.
Childermas
Related material for innocents — Siobhan Roberts
on Conway’s Game of Life in today’s New York Times .
Those desiring greater literary depth may consult
this journal’s Gameplayers.
Sunday, December 27, 2020
Knight Move for Trevanian
“Knight move” remark from The Eiger Sanction —
“I like to put people on myself by skipping logical steps
in the conversation until they’re dizzy.”
The following logical step — a check of the date Nov. 18, 2017 —
was omitted in the post Futon Dream on this year’s St. Stephen’s Day.
For further context, see James Propp in this journal.
V
From today’s post “Logo Animation” —
Related material from the art world —
Related entertainment —
“V. is whatever lights you to the end of the street: she is also the dark annihilation waiting at the end of the street.” (Tony Tanner, page 36, "V. and V-2," in Pynchon: A Collection of Critical Essays, ed. Edward Mendelson. Prentice-Hall, 1978. 16-55). |
Midrash — Other posts tagged Annihilation.
Logo Animation
Related material from Log24 yesterday —
Click the Aquarius symbol for a puzzle.
A related animation —
Box
“… a revisionist account of The Wonderful Wizard of Oz…
portrays the Wicked Witch of the West ….”
Note the ambiguity of the initials “WW” in the above passage,
mirrored in the current film title “WW84.”
Saturday, December 26, 2020
Memorial
For Children of the Labyrinth
Futon Dream
” There’s a line from the movie ‘The Paper Chase’, in which
the fearsome Professor Kingsfield tells a room of first-year
law-school students ‘You come in here with a skull full of mush …
and you leave thinking like a lawyer.’ “
— James Propp on December 14, 2020, in . . .
Related material — Japanese Bed.
Friday, December 25, 2020
Design Theory
Mathematics
The Fano plane block design |
Magic
The Deathly Hallows symbol— |
Another name for the Fano plane design — The Ghostly Hallows.
From a search in this journal for Ghostly —
Ghosts of Christmas Present
Related material — Digital Theology in a search for Dyson Bits.
Circle of Positivity
“A quick note on terminology. Members of the Circle
were logical empiricists, sometimes called logical positivists.
Positivism is the view that our knowledge derives from
the natural world and includes the idea that we can have
positive knowledge of it. The Circle combined this position
with the use of modern logic; the aim was to build a new
philosophy.”
— Edmonds, David. The Murder of Professor Schlick (p. vii).
Princeton University Press. Kindle Edition.
For aficionados of associative logic —
See Triple Cross in this journal and the Fano-plane circle
in the illustration below.
Change Arises: Mathematical Examples
From old posts tagged Change Arises —
From Christmas 2005:
For the eightfold cube
For an rather more Click on image for details. |
The phrase "change arises" is from Arkani-Hamed in 2013, describing
calculations in physics related to properties of the positive Grassmannian —
A related recent illustration from Quanta Magazine —
The above illustration of seven cells is not unrelated to
the eightfold-cube model of the seven projective points in
the Fano plane.
Thursday, December 24, 2020
Change Arises: A Literary Example
The “Change Arises” part of the title refers to the previous post.
The 1905 “geometric object” there, a 4×4 square, appeared earlier,
in 1869, in a paper by Camille Jordan. For that paper, and the
“literary example” of the title, see “Ici vient M. Jordan .”
This post was suggested by the appearance of Jordan in today’s
memorial post for Peter M. Neumann by Peter J. Cameron.
Related remarks on Jordan and “geometrical objects” from 2016 —
These reflections are available from their author as a postprint.
Change Arises
See posts so tagged.
"Change arises from the structure of the object." — Arkani-Hamed
Related material from 1936 —
Related material from 1905, with the "object" a 4×4 array —
Related material from 1976, with the "object"
a 4×6 array — See Curtis.
Related material from 2018, with the "object"
a cuboctahedron — See Aitchison.
Wednesday, December 23, 2020
Facets . . .
“The book by Hesse has many facets ….” (Link added.)
— V. V. Nalimov, In the Labyrinths of Language ,
Ch. 1, “What Language Is,” p. 22.
Related philosophical speculation —
Kind of a Drag
See also remarks from Berlin on the 6×6 square and . . .
a Harvard illustration from Linden Street —
Associative Logic
“The bureaucratic innovations of the New Deal
fed into the powerful associative logic
of commonsense reasoning,
leading a number of Americans to equate science
with the technocratic, managerial liberalism
of Roosevelt and his allies.”
— http://bostonreview.net/science-nature/
andrew-jewett-how-americans-came-distrust-science
From a Log24 search for “Notes Toward” —
“Logos and logic, crystal hypothesis, Incipit and a form to speak the word And every latent double in the word….” — Wallace Stevens, “Notes Toward a Supreme Fiction“ |
Tuesday, December 22, 2020
Small Venues
“… her art was rarely exhibited until the 1970s,
and then only sporadically and in small venues . . . .”
— New York Times obituary suggested by
today’s review,
https://www.nytimes.com/2020/12/22/
arts/artists-who-died-2020.html
“No ordinary venue.” — Song lyric
Related material now linked to in the previous post —
Monday, December 21, 2020
Re Volvo
“The crystal was a sort of magnifying glass,
vastly enlarging the things inside the block.
Strange things they were, too.”
Sunday, December 20, 2020
Principles Before Personalities
“I Know Him So Well” — The Beckinsale Version —
Facets
Note for Technicians and Theorists
See as well Simple Tune and Variation.
Looking Firmly
“… and the song of love’s recision is the music of the spheres.”
— E. L. Doctorow, City of God
Doctorow’s remark was quoted here earlier, on February 5, 2009 —
The central aim of Western religion–
"Each of us has something to offer the Creator... the bridging of masculine and feminine, life and death. It's redemption.... nothing else matters." -- Martha Cooley in The Archivist (1998) The central aim of Western philosophy– Dualities of Pythagoras as reconstructed by Aristotle: Limited Unlimited Odd Even Male Female Light Dark Straight Curved ... and so on .... “Of these dualities, the first is the most important; all the others may be seen as different aspects of this fundamental dichotomy. To establish a rational and consistent relationship between the limited [man, etc.] and the unlimited [the cosmos, etc.] is… the central aim of all Western philosophy.” — Jamie James in The Music of the Spheres (1993) “In the garden of Adding — The Midrash Jazz Quartet in City of God, by E. L. Doctorow (2000) A quotation today at art critic Carol Kino’s website, slightly expanded: “Art inherited from the old religion — Octavio Paz,”Seeing and Using: Art and Craftsmanship,” in Convergences: Essays on Art and Literature (New York: Harcourt Brace Jovanovich 1987), 52 From Brian O’Doherty’s 1976 Artforum essays– not on museums, but rather on gallery space: “We have now reached “Space: what you — James Joyce, Ulysses |
Saturday, December 19, 2020
Classic Romantic
Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance ,
Ch. 6 (italics are mine):
“A classical understanding sees the world primarily as underlying form itself.
A romantic understanding sees it primarily in terms of immediate appearance .”
Quackers
Friday, December 18, 2020
Notes towards the Redefinition of Culture
In the altered headline above, " Q******* " may, if you like,
be interpreted as " Quellers ," an invented term for scholars
who investigate the origins of Christianity.
See the Log24 post "Q is for Quelle " (November 7, 2020).
Dan Brown, like the earlier novelist who wrote The Source ,
is such an investigator (of sorts), though not a scholar .
(For an example of actual scholarship , see the webpage
https://quod.lib.umich.edu/m/
middle-english-dictionary/dictionary/MED35525.
That page may be interpreted as putting the "hit" in "s***.")
De Corpore*
* De Corpore had a negative effect on Hobbes’s scholarly reputation.
The inclusion of a claimed solution for squaring the circle, an apparent
afterthought rather than a systematic development, led to an extended
pamphlet war in the Hobbes-Wallis controversy. — Wikipedia
Another afterthought, in the style of Kinbote —
A search in this journal for Peter M. Neumann
yields a link to Transformations over a bridge (1983 Aug. 16).
Body Space — Annals of Corporate Law
In memory of Ralph Winter and Barbara Windsor.
See also . . .
Personally, I prefer To Catch a Thief —
“Breast or Thigh”?
Square Space at Athens
(A sequel to the previous post, Square Space at Wikipedia)
Related remarks: A Dec. 16 Wikipedia revision by Quack5quack,
and posts in this journal tagged Helsinki Math.
Thursday, December 17, 2020
Square Space at Wikipedia
The State of Square-Space Art at Wikipedia as of December 16, 2020,
after a revision by an anonymous user on that date:
See also Square Space at Squarespace.
In Memoriam
Composer Harold Budd reportedly died at 84 on December 8
in Arcadia, California.
"The way I work is that
I focus entirely on a small thing
and try to milk that for all it's worth,
to find everything in it
that makes musical sense,"
Budd explained in a 1997 interview….
See related remarks in posts now tagged Quartet,
as well as posts now tagged Galois Window.
Just 17
Wednesday, December 16, 2020
Tuesday, December 15, 2020
Christmas Carol Carré
At the Intersection…
Continues. The Chanel mandorla in the previous post
suggests a review of a more complex figure — The Venn Lotus.
Politically correct leftists may be reminded of Intersectionality.
Connection
Hurt’s dies natalis (date of death, in the saints’ sense) was,
it now seems, 25 January 2017, not 27.
A connection, for fantasy fans, between the Philosopher’s Stone
(represented by the eightfold cube) and the Deathly Hallows
(represented by the usual Fano-plane figure) —
Images from a Log24 search for “Holocron.”
Chess Tenet
“Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself. That must in the story be taken seriously,
neither laughed at nor explained away.’ “
— A leftist academic’s essay at aeon.co, “Empire of Fantasy,”
on St. Andrew’s Day, 2020.
Monday, December 14, 2020
Espace Carré
"Leave a space." — Tom Stoppard, "Jumpers."
Obituary of a novelist in The Washington Post yesterday —
"He gave various explanations for how he chose his nom de plume —
le Carré means 'the square' in French —
before ultimately admitting he didn’t really know."
Related material for Dan Brown — Imperial Symbology and . . .
"Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself. That must in the story be taken seriously,
neither laughed at nor explained away.’ "
— A leftist academic's essay at aeon.co, "Empire of Fantasy,"
on St. Andrew's Day, 2020.
A more respectable writer on literature and magic —
Sunday, December 13, 2020
The Alcott Gesture, from the author of Little Women
A speaker in Washington, D.C., yesterday —
“We are in a crucible moment in the history
of the United States of America,” he said at
the “Let the Church Roar” rally at the National Mall.
In other drama —
“It’s a gesture, dear, not a recipe.”
— Peggy (Vanessa Redgrave) in a 1987 film.
The above Emma Watson date — Oct. 28, 2014 — suggests
some DC-related remarks in a Log24 search for “The Lost Symbol.”
Puer Viri Pater Est*
* “Suck any sense from that who can” — Gerard Manley Hopkins
Saturday, December 12, 2020
“Opus Esse Uno”
“He said, ‘It’s no coincidence that I study narcissistic leaders,
because it takes one to know one’”
— Obituary for a CIA psychologist
“Opus esse uno, unum cognoscendi,” the arch-narcissist Veidt
haughtily declares before he does this, which he translates to mean,
“It takes one to know one.”
— https://www.salon.com/2019/12/16/
watchmen-finale-one-last-reveal-explains-all-those-eggs-
and-the-crushing-weight-of-legacy/
Dr. Post reportedly died on November 22.
The Craft
From The New York Times on October 29 —
Zoe Lister-Jones on ‘The Craft’ and Women’s Power
by Melena Ryzik
See as well Ryzik in yesterday’s post “After Valentine’s” —
Related material —
The Wrong Stuff
Globe Services
“Perhaps only Shakespeare manages to create at the highest level
both images and people; and even Hamlet looks second-rate
compared with Lear .”
— Iris Murdoch, “Against Dryness,” 1961
Byline from a 2019 post — ‘GLOBE STAFF AND NEW SERVICES’ —
Above: Dr. Harrison Pope, Harvard professor of psychiatry,
demonstrates the use of the Wechsler Adult Intelligence Scale
“block design” subtest.
— From a Log24 search for “Harrison Pope.”
Related drama — Other posts tagged Plastic Elements.
Friday, December 11, 2020
Thursday, December 10, 2020
Popular Mechanics Continues
From a review of the new game Cyberpunk 2077 —
“Oh, you also find out the chip has meshed with
your nervous system, so you can’t take it out, and
that Silverhand’s consciousness will eventually
overtake yours, meaning your body will live on
but not your mind, soul or spirit.
Damn computers.”
— Daniel Van Boom at cnet.com,
Dec. 7, 2020 4:19 p.m. PT
(and under a different title later)
See also the similar plot of “Upgrade” (2018) , a film featured in the
Log24 post Popular Mechanics: Midnight Upgrade (Oct. 26, 2019).
STEM Education —
For an earlier form of the plot,
see “Go Chip” in this journal.
New Light on the Redactedentity Mystery
See a Log24 search that includes earlier posts on “Redactedentity.”
Recent activity by that entity at the Encyclopedia of Mathematics:
As the above “recent changes” list notes, Redactedentity added
a new favicon section to Talk:EoM on December 7, 2020. Details —
The new section as it appeared later, with “Redactedentity”
replaced by “Mihir Narayanan” —
Update at 5:35 PM ET on Thursday, Dec. 10, 2020 —
User “Redactedentity” at Wikipedia is now user “Mihir Narayanan.”
A Date Which
From the Net on December 7, 2020 —
Some background for academics:
“The Self Regained”: Cyberpunk’s Retreat
to the Imperium by Sharon Stockton (1995)
A review dated December 7:
Crimson Peak*
See the previous post and Butcher’s Clay (March 29, 2014).
* The title refers to a film starring Jessica Chastain.
See also Chastain in Annals of Subliminal Typography.
Wednesday, December 9, 2020
Word
“Rosenbaum has a fluent style that can
pivot and change direction on a single word ….”
The above quotation results from a search
in this journal for golem.
That search resulted from today’s previous post,
Clay Risen.
Related conceptual art —
“You’ve got to be carefully taught . . . .” — Oscar Hammerstein II.
See as well the word undoing in a post of December 6.
Clay Risen
The title, which suggests a combination of musings by James Joyce
and Gerard Manley Hopkins, is actually a person’s name. See below.
Programming with Windows
“Program or be programmed.” — Douglas Rushkoff
Detail —
The part of today’s online Crimson front page relevant to my own
identity work (see previous post) is the size, 4 columns by 6 rows,
of the pane arrays in the windows of Massachusetts Hall.
See the related array of 6 columns by 4 rows in the Log24 post
Dramarama from August 6 (Feast of the Transfiguration), 2020.
“Identity Work”
The title is a phrase I encountered today in a search for background
on the anonymous Wikipedia user whose first “user talk” page is as
follows —
See also CrazyMinecart88 at
https://en.wikipedia.org/wiki/User:CrazyMinecart88 .
“… the disclosure of knowledge as it is
intimately bound up with identity work”
— “Awarding the self in Wikipedia : Identity work
and the disclosure of knowledge,” by Daniel Ashton.
First Monday, Volume 16, Number 1 – 3 January 2011.
Some mine cart “identity work” of my own —
Tuesday, December 8, 2020
Another Damned Dyslexic
The Importance of Being Ernst —
In the above Wikipedia revision today, the anonymous user “Redactedentity”
found that the article Kummer surface omitted Kummer’s first name
and so changed “authorlink=Ernst Kummer|last=Kummer” to
“authorlink=Ernst Kummer|last=Ernst Kummer.” This fixed the
omission but makes no sense as a statement of parameters.
“Redactedentity” was apparently unable to read the following page,
which explains that “last=” is for the author’s last name —
Of course, this revision may be merely an instance of trolling or of
the sort of humor sometimes found among people with the following
interests:
See also Pazouzou.
Best Meets Bester
The New York Times online today —
Menu bar above a book review: “The Best of 2020.”
Alfred Bester —
Related search results —
Monday, December 7, 2020
Sunday, December 6, 2020
The Undoing
Today’s earlier post “Binary Coordinates” discussed a Dec. 6
revision to the Wikipedia article on PG(3,2), the projective
geometry of 3 dimensions over the 2-element field GF(2).
The revision, which improved the article, was undone later today
by a clueless retired academic, one William “Bill” Cherowitzo,
a professor emeritus of mathematics at U. of Colorado at Denver.
(See his article “Adventures of a Mathematician in Wikipedia-land,”
MAA Focus , December 2014/January 2015.)
See my earlier remarks on this topic . . . specifically, on this passage —
“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.”
As I noted on November 17, this is bullshit. Apparently Cherowitzo
never bothered to find out that an arbitrary “3-(16,4,1) block design”
(an example of a Steiner quadruple system ) does not yield a PG(3,2).
PG(3,2) is derived from the classical 3-(16,4,1) block design formed by the affine
space of 4 dimensions over GF(2). That design has 322,560 automorphisms.
In contrast, see a 3-(16,4,1) block design that is automorphism-free.
“Binary Coordinates”
The title phrase is ambiguous and should be avoided.
It is used indiscriminately to denote any system of coordinates
written with 0 ‘s and 1 ‘s, whether these two symbols refer to
the Boolean-algebra truth values false and true , to the absence
or presence of elements in a subset , to the elements of the smallest
Galois field, GF(2) , or to the digits of a binary number .
Related material from the Web —
Some related remarks from “Geometry of the 4×4 Square:
Notes by Steven H. Cullinane” (webpage created March 18, 2004) —
A related anonymous change to Wikipedia today —
The deprecated “binary coordinates” phrase occurs in both
old and new versions of the “Square representation” section
on PG(3,2), but at least the misleading remark about Steiner
quadruple systems has been removed.
Saturday, December 5, 2020
At the Still Point
The photo of Lauren German from “Standing Still” (2005) in the
previous post suggests some related material for comedians:
The above character-creator name “Neil Gaiman” occurs here
in a post from June 2013 —
The above footnote refers to . . .
More merriment: Lauren German in a video of the related song
“Another One Bites the Dust.”
Friday, December 4, 2020
German Lesson: Untergang
The recent posts "Bunker Bingo" and "Here's to Efficient Packing!"
suggest a review.
Alex Ross in The New Yorker on Dec. 2, 2020, on the German
word "Untergang " —
"The usual translation is 'downfall,' although
the various implications of the word—
literally, “going-under”—are difficult to capture
in English. In some contexts, Untergang simply
means descent: a sunset is a Sonnenuntergang .
Lauren German in a 2005 film —
See as well . . .
Here’s to Efficient Packing!
Devil Music … Now in Infernovision!
“DEVIL – MUSIC
20 pages of incidental music written at school
for G. K. Chesterton’s play MAGIC
by D. Coxeter.”
See also other posts now tagged Infernovision.
Thursday, December 3, 2020
A Veritable Frame
A search in this journal for “Jean Brodie” suggests a review —
“A professor is all-powerful, Gareth liked to tell his daughter, he puts
‘a veritable frame around life,’ and ‘organizes the unorganizable.
Nimbly partitions it . . . .'”
— Review of Special Topics in Calamity Physics , Aug. 13, 2006
For Alison Lurie (Sept. 3, 1926 — December 3, 2020)
“Once upon a time there was a classroom.”
— Zenna Henderson, “Loo Ree”
See as well other posts now tagged Lurie.
Pilgrim’s Progress
Bunker Bingo
See as well 5×5, The Matrix of Abraham, and Deutsche Schule Montevideo .
“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
Brick Joke
The "bricks" in posts tagged Octad Group suggest some remarks
from last year's HBO "Watchmen" series —
Related material — The two bricks constituting a 4×4 array, and . . .
"(this is the famous Kummer abstract configuration )"
— Igor Dolgachev, ArXiv, 16 October 2019.
As is this —
.
The phrase "octad group" does not, as one might reasonably
suppose, refer to symmetries of an octad (a "brick"), but
instead to symmetries of the above 4×4 array.
A related Broomsday event for the Church of Synchronology —
Tuesday, December 1, 2020
Beach Rocks
"The Beach is a 1996 novel by English author Alex Garland." — Wikipedia
Windows lockscreen today —
Another part of the lockscreen, later . . .
Related* mystical remark on a legendary artifact —
Animation adapted from a legendary diagram —
* The "9" and "16" may be viewed as referring to areas —
both above and below the hypotenuse — bordering a
3-4-5 triangle illustrating Euclid's proposition I.47.
Annals of Subliminal Typography
Projects
The tinfoil link in the previous post suggests a review.
The Wikipedia article on the Harvard Psilocybin Project links to . . .
Beach Tips from Microsoft
Related security tips. . . See tinfoil. “We all know the song.”
Image related to last night’s post “Time Class” —