Note that if the "compact Riemann surface" is a torus formed by
joining opposite edges of a 4×4 square array, and the phrase
"vector bundle" is replaced by "projective line," and so forth,
the above ChatGPT hallucination is not completely unrelated to
the following illustration from the webpage "galois.space" —
See as well the Cullinane diamond theorem.
For the image at upper left below, see
https://www.google.com/doodles/celebrating-alan-rickman.
On the Rickman domain . . .
See as well "Stella Maris" in this journal.
"Even though he’s not currently part of a Star Wars movie,
Lindelof seems open to working on the franchise down the line.
'Will I get back in line outside the club and try to get back in again?
Of course,' he added. '[Star Wars ] was the alpha and the omega.
It’s the first movie I saw in a movie theater. I love all of the storytelling
in that world. If at first you don’t succeed, try, try again. Or again, again,
try, as Yoda would say.' ” — Jay Peters, The Verge , April 28, 2023
From this journal on 4/01, 2009:
The Cruelest Month —
"Langdon sensed she was toying with him…." — Dan Brown
Less playfully . . .
See also the show tune from the end of "Second Tree from the Corner,"
a classic New Yorker short story by E. B. White. (And related posts.)
"The history of the length of movies takes place in two dimensions—
on the axis of the ordinary and the axis of the extraordinary, or,
of the rule and the exception."
— Richard Brody, The New Yorker , April 24, "In Praise of the Long Movie."
The Ordinary —
The Extraordinary —
A version of "News of the World" I prefer —
For those who prefer facts to Harvard bullshit —
"You got your demons and you got desires
Well, I got a few of my own" — Song lyric
Click the above box for a related New Yorker article.
See also, in this journal, Baudelaire and Psychonauts.
From the previous post, "The Large Language Model,"
a passage from Wikipedia —
"… sometimes large models undergo a 'discontinuous phase shift'
where the model suddenly acquires substantial abilities not seen
in smaller models. These are known as 'emergent abilities,' and
have been the subject of substantial study." — Wikipedia
Compare and contrast
this with the change undergone by a "small space model,"
that of the finite affine 4-space A with 16 points (a Galois tesseract ),
when it is augmented by an eight-point "octad." The 30 eight-point
hyperplanes of A then have a natural extension within the new
24-point set to 759 eight-point octads, and the 322,560 affine
automorphisms of the space expand to the 244,823,040 Mathieu
automorphisms of the 759-octad set — a (5, 8, 24) Steiner system.
For a visual analogue of the enlarged 24-point space and some remarks
on analogy by Simone Weil's brother, a mathematician, see this journal
on September 8 and 9, 2022.
"… sometimes large models undergo a 'discontinuous phase shift'
where the model suddenly acquires substantial abilities not seen
in smaller models. These are known as 'emergent abilities,' and
have been the subject of substantial study." — Wikipedia
See also the first five episodes of "Mrs. Davis."
The reference to metaphysics in today's previous post
suggests a review of the phrase "logical point of view."
"Many of these same characters wonder whether
they are creating these special places anew, or
are merely finding places which already exist
(very much like 'the problem of universals' in
classical metaphysics)."
— Wikipedia article on author Roger Zelazny
Related material —
* For the title, see a story by Zelazny.
This journal on April 19, 2004 —
"Follow the fellow who follows a dream."
Melissa Errico
in Finian's Rainbow
"Give her a song like … 'Look to the Rainbow,'
and her gleaming soprano effortlessly flies it
into the stratosphere where such numbers belong.
This is the voice of enchantment…."
"Follow the fellow…." Or the girl.
See posts now tagged Birthday Girls
in honor of a Coachella Valley native
born on September 27, 2002.
"Born in 1965, James Wood grew up in Durham,
where his father lectured in zoology at the university.
He attended Durham choir school, where he was
a cathedral chorister, and Eton College, before
studying at Jesus College, Cambridge."
— The Independent , 19 April 2003.
* For the title, see Wikipedia.
For an illustration, see Jenna Ortega.
For Wood himself, see (for instance)
some Log24 posts.
"Bedknobs and Broomsticks is a 1971 American musical fantasy film
directed by Robert Stevenson and produced by Bill Walsh for
Walt Disney Productions. It is loosely based upon the books
The Magic Bedknob; or, How to Become a Witch in Ten Easy Lessons
(1944) and Bonfires and Broomsticks (1947) by English children's author
Mary Norton."
Glow with the Flow
"In the digital cafeteria where AI chatbots mingle,
Perplexity AI is the scrawny new kid ready to
stand up to ChatGPT, which has so far run roughshod
over the AI landscape. With impressive lineage, a wide
array of features, and a dedicated mobile app, this
newcomer hopes to make the competition eat its dust."
— Jason Nelson at decrypt.co, April 12, 2023
What Barnes actually wrote:
"The final scene — the death of Simone most movingly portrayed,
I understand, by Geraldine Librandi, for the program did not specify
names — relied on nothing but light gradually dying to a cold
nothingness of dark, and was a superb theatrical coup."
(Title suggested by recent episodes of "The Blacklist.")
"It's the system that matters.
How the data arrange
themselves inside it."
The Pynchon quote is from posts now tagged Map Systems.
See this journal on January 1, 2011, said to be the day that
an interesting Czech girl (see "Blue Czech Marks") turned 18.
* For the title, see an appealing 2013 fantasy starring Lily Collins.
Collins herself turned 18 on March 18, 2007.
“She never looked up while her mind rotated the facts,
trying to see them from all sides, trying to piece them
together into theory. All she could think was that she
was flunking an IQ test.”
— Steve Martin, An Object of Beauty
Byron Gogol is a tech magnate in the HBO series "Made for Love."
See also Mykonos in this journal and . . .
The logo of MUSE, the band —
A logo I prefer . . .
Related material from a post of October 2020 —
Related material from a post on the above Reddit date —
|
A Story That Works
“There is the dark, eternally silent, unknown universe;
and lastly, there is lonely, story-telling, wonder-questing, – Fritz Leiber in “The Button Molder“ |
"…something I once heard Charles M. Schulz say,
'Don't worry about the world coming to an end today.
It's already tomorrow in Australia.'"
— William F. House at Xanga, quoted here on
January 31, 2003
In memory of Dame Edna:
An image from this journal at 5:11 PM ET yesterday —
"In the digital cafeteria where AI chatbots mingle,
Perplexity AI is the scrawny new kid ready to
stand up to ChatGPT, which has so far run roughshod
over the AI landscape. With impressive lineage, a wide
array of features, and a dedicated mobile app, this
newcomer hopes to make the competition eat its dust."
— Jason Nelson at decrypt.co, April 12, 2023
Not unlike, in the literary cafeteria, Pullman vs. Tolkien?
ChatGPT seems to have the advantage for lovers of
fiction and fantasy, Perplexity AI for lovers of truth.
This post was suggested
by a Chinese birthday:
|
In the box-style I Ching
Art is represented
And of course
The combination of these |
See as well Parfit in this journal and in
an April 12 New Statesman article —
"Perplexity is a technical term
referring to how sophisticated
the answer is that is generated by
a program such as ChatGPT."
— https://www.zdnet.com/article/
this-new-technology-could-blow-away-
gpt-4-and-everything-like-it/
Continued from April 18 .
"Working with words to create art
and working with your hands to create art
seem like two separate activities to me."
— Cover artist, The New Yorker , on April 17
See also Alphabet Blocks in this journal
as well as Escher's Verbum.
|
|
"Google Gone Haywire" Continues.
See as well a long complete list of the many Google search results
on combinatorial mathematics that contain the above phrase as
part of a fake "abstract" quoted by Google.
Saturday, September 17, 2016
A Box of Nothing
|
For those who prefer comedy —
Demystifying Alpha Delta, the original 'Animal House' —
"Dartmouth officially recognized its chapter of
the Alpha Delta Phi fraternity in 1846."
Harvard, on the other hand . . .
NY Times columnist's advice to the recent Harvard donor of $300 million —
"At least make them build you some weird pharaonic monument."
For the descendants of Leonard Shlain and Harry "Parkyakarkus" Einstein —
"Watch your parking meters." — Bob Dylan
Honoring the Spaces, Minding the Gaps . . .
From this journal on the above YouTube upload date, Sept. 9, 2022 —
Poetry enthusiasts might view the brick at left as
symbolizing the scepter'd isle off the west coast
of Europe, and the gap between as the English
Channel. Mind the gap.
Rated XXX !
"There were questions in the eyes of other dancers
As we floated over the floor
There were questions but my heart knew all the answers
And perhaps a few things more"
— Song lyric, "Polka Dots and Moonbeams"
|
“The challenge is to keep high standards of scholarship while maintaining showmanship as well.” |
— Olga Raggio, a graduate of the Vatican library school
and the University of Rome
This quote is from posts tagged The Positive.
A review of those posts was suggested by the date of a different quote,
from a "Timeless" episode that aired on January 16, 2017 —
The New York Times reports an April 14 death.
See as well Vermont as A Metaphysical State .
UPDATE:
THE SOURCE:
https://www.newyorker.com/gallery/
cartoons-from-the-april-17-2023-issue.
The date at the bottom, April 7, was Good Friday.
“We said, ‘This is really … the killer example
for visual abstract reasoning, let’s jump in,’”
— "A New Approach to Computation
Reimagines Artificial Intelligence,"
Quanta Magazine , April 13, 2023
See as well . . .
"A neuro-vector-symbolic architecture for solving
Raven’s progressive matrices,"
Nature Machine Intelligence , March 9, 2023.
Click Ravenna for some related posts.
Meanwhile, also on March 9, 2023 —
"Reverting to a more primitive and sensual, almost magical
experience of art is what Sontag desires…." — Wikipedia
In memory of an East Village journalist who reportedly
died at 68 on April 1, a link to posts now tagged East Village.
Other April-1-related material —
“I had a nose for news,” he said, “and the news
I had a nose for was 10 years ahead.”
For some posts from 10 years behind the above death date,
see the tag April 1 in 2013.
“They’re saying it’s ‘Hunger Games’ meets ‘Lord of the Flies.’"
— https://www.nytimes.com/2023/04/12/technology/
meta-layoffs-employees-management.html .
Google's new update page for its Bard AI experiment yesterday:
"We've updated Bard with better capabilities for math and logic."
Better, but still faulty.
Exercise: Correct the errors in the following —
(The worst errors are "1997" and "inspired by.")
(Perspective Not as Symbolic Form)
From a post of June 8, 2014 —
See August 6, 2013 — Desargues via Galois.
Abigail Spencer in the "Timeless" Watergate episode,
and related remarks by the father, Gordon S. Wood, of
the author, Christopher S. Wood, quoted in the previous post —
http://www.log24.com/log/pix23/230408-NYer-crossword-puzzle-urn.jpg
"The two cover characters, who I’ve been thinking of as ○ and □ . . ."
— Chris Ware on his New Yorker cover for the issue dated Dec. 26, 2022.
A current art exhibition in Norway —
"Ashes to ashes , dust to dust ."
Update of 12:31 PM ET —
The time of this post, 12:27 PM ET,
suggests a 12/27 flashback:
Click the above image for a related Log24 post of 15 years ago today.
A related literary remark —
"Imagine Raiders of the Lost Ark set in 20th-century London, and then
imagine it written by a man steeped not in Hollywood movies but in Dante
and the things of the spirit, and you might begin to get a picture…."
— Doug Thorpe in an Amazon.com book review, not of Dark Materials.
Excerpt of Google Book Search results tonight —
(The search, suggested by a current art exhibition, was for
"Josefine Lyche" + Cullinane . See also a 2017 post titled
"So Set 'Em Up, Jo.")
… And then there is Gresham College —
Film script adapted from the Gresham novel Nightmare Alley —
Update of 4:04 PM ET —
Religious remarks in the Times Literary Supplement
issue dated April 7, 2023 (Good Friday) suggest a
review of other remarks — from July 1, 2019 —now
tagged The Exploded Cube. Some will prefer more useful
types of explosions.
Related elementary mathematics from Google image searches —
Despite the extremely elementary nature of the above tables,
the difference between the binary addition of Boole and that
of Galois seems not to be widely known.
See "The Hunt for Galois October" and "In Memory of a Mississippi Coach."
The above image from the bottom of a Windows 11 screen tonight
is in memory of a New York Times photographer who reportedly
died at 97 on Monday, April 3.
“Anyone can take a picture,” he liked to say,
“but are you a journalist?”
The "large language model" approach to AI has yielded
startlingly good results for programmers, but is not so good
for finding out facts . . .
A Google search for harvard mathematician h.s.m. coxeter yields . . .
Readers able to use Google can easily find out who wrote the above
gestalt passage. It was not Coxeter.
Further investigation via Google yields the O'Toole source:
O'Toole, Michael, The Language of Displayed Art ,
Leicester University Press, 1994, p. 4.
From "The Color Out of Nevermore," an April 1 post —
A detail from the final Log24 post of March 2023 —
"Wednesday, some red doors
should not be painted black."
From Arts & Letters Daily today —
A rather different curious case —
"I’ve been heavily influenced by American 'roots' music."
— Natalie Merchant in a New Yorker piece dated April 2, 2023.
"Roots" non-music —
See other "Root Circle" posts.
A detail from the final Log24 post of March 2023 —
"Wednesday, some red doors
should not be painted black."
Powered by WordPress
.
.
.
