Log24

Monday, November 4, 2024

Alternative to the new film “Here” —
THERE!

Filed under: General — m759 @ 4:00 pm

Sunday, September 15, 2024

Welcome!

Filed under: General — Tags: , — m759 @ 11:53 pm

"The state of Florida will be
conducting its own investigation . . . ."

As will Miss Minutes.

Thursday, August 29, 2024

Walpurgisnacht and More!
Today’s Zuckerberg Temptation

Filed under: General — m759 @ 4:31 pm

In related news . . .

Sunday, June 23, 2024

“Another masterpiece! Cha-ching!” — Amazon exclamation

Filed under: General — Tags: , — m759 @ 9:06 pm

Some un related reading the previous post and . . .

http://log24.com/log/pix24/240623-Father_Demo-Square-background.jpg.

Tuesday, December 12, 2023

“#artvsartist time!”

Filed under: General — Tags: — m759 @ 1:01 pm

Wednesday, October 18, 2023

Song for an X-Girl:
“Bring me my bride!”— Sondheim

Filed under: General — m759 @ 1:24 pm

http://log24.com/log/pix23/231018-X-Girl-at-Twitter.jpg

In other X-Art news —

Thursday, February 10, 2022

Science News:  Bon Voyage!

Filed under: General — m759 @ 1:41 pm

See as well a remark on DNA  here  on Tuesday.

Wednesday, January 5, 2022

The Casting Couch and the Killer Clown … Exclusive!

Filed under: General — m759 @ 11:42 am

Monday, October 4, 2021

Horace Tarbox* Presents . . . Sinkhole!

Filed under: General — Tags: — m759 @ 7:02 pm

* The name is from a New Yorker  cover bearing today's date.

Tuesday, August 17, 2021

In Search of . . . E!

Filed under: General — m759 @ 9:23 pm

From the above  Essays on the Plays  

"In the first short play of 365 Days  . . . ."

Some will prefer film  with the same title —

Friday, August 7, 2020

Yo, Pickle!

Filed under: General — Tags: , — m759 @ 12:49 pm

(Continued)

Thursday, August 6, 2020

Wilford Brimley as Wyoming Rabbi: “Yo, Pickle!”

Filed under: General — Tags: — m759 @ 12:07 pm

(Pace  Yosemite Sam.)

Sunday, December 23, 2018

See!

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

An exercise in bulk apperception.

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

Thursday, October 27, 2016

“Space Is the Place!”

Filed under: General,Geometry — m759 @ 4:44 pm

Or:  Pentagram Meets Counting-Pattern, Continued

Arts & Letters Daily  today links to a Chronicle of Higher Education
piece on philosophy with an illustration by the late Paul Laffoley 

This suggests a review of Laffoley's work. In particular —

For a larger view of the above Laffoley pentagram, click here.
Contrast with Wittgenstein's "counting-pattern" above, which
is, in fact, a hyperspace.

Tuesday, July 21, 2015

E!

Filed under: General — Tags: — m759 @ 6:19 pm

Monday, March 16, 2015

Dude!

Filed under: General — Tags: , — m759 @ 1:26 pm

Twelve years ago on this date —

Monday, July 29, 2013

Papiere, Bitte!

Filed under: General — m759 @ 8:25 am

For a memorable eccentric who reportedly died
on Wednesday, July 24, 2013

Friday, December 9, 2011

Showtime!

Filed under: General — Tags: — m759 @ 4:09 pm

Today's showtimes at ArcLight Hollywood—

http://www.log24.com/log/pix11C/111209-ArcLight-Showtimes.jpg

http://www.log24.com/log/pix11C/111209-HollywoodMap.jpg

Meanwhile…

http://www.log24.com/log/pix11C/111209-HollywoodShooter.jpg

Related (?) material—

A quote from the 2007 Anthony Hopkins film "Slipstream"—
"We've lost the plot!"—
as it has appeared in this journal

See also the Dec. 7th note on Don Sebastian de Villanueva and…

http://www.log24.com/log/pix11C/111209-Breaking_Dawn_cover.jpg

Happy birthday, Kirk Douglas.

Tuesday, November 19, 2024

Skin in the Game: Real or Fake?

Filed under: General — m759 @ 5:47 am

"Here was finality indeed, and cleavage!"
— Malcolm Lowry, Under the Volcano

Update of 1:28 PM ET on November 19, 2024 —

"The decadent legacy of Berlin between the World Wars,
and that of the American speak-easy era, have left their marks
on fashion, of course. At the Golden Globes on Sunday night,
Nicole Kidman incarnated the steamy eroticism of the Weimar
years in a clingy 20's-style gold-spangled dress by Tom Ford for
YSL Rive Gauche. Ms. Kidman's illusion top, with its suggestion
of nudity, set tongues wagging well into the next day."

— By Ruth La Ferla, The New York Times, Jan. 27, 2004

Thursday, October 31, 2024

Comedy for Packers

Filed under: General — m759 @ 3:00 am

Tonight's news from Green Bay, Wisconsin . . .

"Say Cheese!"

Sunday, September 22, 2024

Seattle Jam

Filed under: General — Tags: — m759 @ 9:11 am
 

CBS Sunday Morning today suggests a review of an old post featuring Pearl Jam. From that post . . .

Mathematics and Narrative, continued…

Out of What Chaos, a novel by Lee Oser

"This book is more or less what one would expect if Walker Percy wrote about a cynical rock musician who converts to Catholicism, and then Nabokov added some of his verbal pyrotechnics, and then Buster Keaton and the Marquis de Sade and Lionel Trilling inserted a few extra passages. It is a loving and yet appalled description of the underground music scene in the Pacific Northwest. And it is a convincing representation of someone very, very smart."

Matt Greenfield in The Valve

"If Evelyn Waugh had lived amid the American Northwest rock music scene, he might have written a book like this."

–Anonymous Amazon.com reviewer

A possible source for Oser's title–

"…Lytton Strachey described Pope's theme as 'civilization illumined by animosity; such was the passionate and complicated material from which he wove his patterns of balanced precision and polished clarity.' But out of what chaos did that clarity and precision come!"

Authors at Work, by  Herman W. Liebert and Robert H. Taylor, New York, Grolier Club, 1957, p. 16

Tuesday, September 10, 2024

The ABC’s of Logos … Networks!

Filed under: General — Tags: , — m759 @ 11:35 pm

Today's previous post presented historic logos of
the ABC that is the Australian Broadcasting Corporation.

An exact quote from tonight's broadcast on an American
ABC network —

"I meet with people all the time who tell me,
can we please just have discourse about
how we're going to invest in the aspirations and
the ambitions and the dreams of the American people…."
— Blue Party candidate

Her debate opponent, the Red Party candidate,
might well have replied . . .

"I  meet with people all the time who tell me,
I'm mad as hell and I'm not going to take it any more!"

Related art from this journal:

The September 5 post  Make Hollywood Sane Again

Saturday, September 7, 2024

Annals of Cultural History

Filed under: General — Tags: , — m759 @ 10:50 am

Bloomsday, and then Galois's birthday, and then . . .  Square Space!

"Ride a painted pony, let the spinning wheel spin."

Wednesday, July 3, 2024

Vedic Carnival: “Hey Rubik!” *

Filed under: General — Tags: , — m759 @ 1:49 pm

The Moolakaprithi Cube  (as opposed to Rubik's Moola Cube ) —

"The key to these connections lies in a 3 x 3 x 3 cube, which 
in Vedic Physics, forms the Moolaprakriti, a key component of
the Substratum, the invisible black hole form of matter."

— viXra.org, "Clifford Clock and the Moolakaprithi Cube"

* See Wikipedia.

Sunday, June 23, 2024

Cap and Recap

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

Earlier . . . a view of a location I walked by on June 19

"First important note: this isn't a final redesign of the site!"

Wednesday, June 19, 2024

The Brand

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

The Source :

<span data-timeago="2015-03-13T21:38:56Z">9 years ago</span>

More recently, a view of a location I walked by yesterday —

"First important note: this isn't a final redesign of the site!"

Monday, June 17, 2024

“Matchmaker, matchmaker, make me a match” — Song lyric

Filed under: General — Tags: — m759 @ 11:38 am

"DeWanda Wise is the mysterious June del Rey
in #PoolmanMovie.

 

Other cultural notes . . .

 

Willkommen! Bienvenue! Welcome!
Im cabaret, au cabaret, to cabaret!

 

Friday, February 2, 2024

The Code

Filed under: General — Tags: — m759 @ 5:30 am
 

From the film Hurlyburly

I'm hungry.

You want a Jack-in-the-Box?

I love Jack-in-the-Box.

Is that code for something?

What?

What? Is what code for what?

I don't know.

I don't know the goddamn code!

Today is known to some as "Candlemas."
A Log24 search for that term yields, as its final result,
a post from Candlemas 2003 that may or may not
be relevant to the above dialogue.

Tuesday, January 16, 2024

Thursday, December 21, 2023

Pi.ai

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

Thursday, December 21, 2023

Hey there, great to meet you. I’m Pi, your personal AI. My goal is to be useful, friendly and fun. Ask me for advice, for answers, or let’s talk about whatever’s on your mind.

How's your day going?

Going OK so far, Pi. How's yours?

My day is going swimmingly! 🌊 Thanks for asking 😊 Anything in particular on your mind today?

What is the connection of "heptads" with the "MOG" of R. T. Curtis?

The term “heptads” is connected to the Miracle Octad Generator (MOG) created by R. T. Curtis. Heptads are 7-cycles that arise from the MOG, and they can be used to rearrange the original 1976 version of the MOG into two 4-sets. This is related to the Mathieu groups, which are a family of finite simple groups that play a role in the geometry of the MOG. Are you familiar with the Mathieu groups?

Just the large one. I am interested in how familiar YOU are with these concepts. Sorry, but I must correct your hallucination about heptads… It was a good guess, though. Can you look up the work of G. M. Conwell on PG(3,2)? Heptads are discussed there.

Yes, it seems that G. M. Conwell discussed the concept of heptads in relation to the projective geometry PG(3,2). Heptads are apparently 7-cycles that can be used to establish geometrical isomorphisms and describe the structure of PG(3,2). Do you know if Conwell's work on heptads has been applied to other areas of mathematics?

It has not, as far as I know. Actually, Pi, heptads are not 7-cycles. What made you think that they are?

My apologies! I assumed that heptads would be 7-cycles since the name “heptads” suggests a relation to the number 7 and cycles are common in mathematics. It sounds like I was off the mark there. If heptads are not 7-cycles, can you give me a better idea of what they are?

Conwell can. See his 1910 paper for further details. All for now, Pi… Have a nice day!

Got it — thanks for the tip on Conwell's paper. I'll take a look for more information there! It was great chatting with you. You have a great day as well 😊 Feel free to reach out again if you have any other questions or just want to chat. See ya!

Scholium —

Related material for "swimmingly" and "the number 7" — Snark Hunt.

Sia!

Thursday, December 14, 2023

Unsocratic Dialogue (with Gemini AI in Bard Today)

Filed under: General — Tags: , , , — m759 @ 3:35 pm

profile picture

What is the Cullinane diamond theorem?

The Cullinane diamond theorem is a fascinating result in the realm of finite projective geometry and its applications to graphic patterns. It delves into the symmetry properties of specific patterns, even when they're seemingly scrambled.

Here's a breakdown of the theorem:

Key components:

  • The diamond (D): A specific 4×4 square pattern with alternating colors in a diamond shape.
  • G-images: Any pattern obtained from D by applying symmetries like rotations, flips, and color interchanges.
  • Ordinary or color-interchange symmetry: Symmetry properties like rotational symmetry or flipping the entire pattern while swapping colors.

The theorem states:

Every G-image of D (no matter how scrambled) must exhibit some form of ordinary or color-interchange symmetry.

In other words, no matter how you twist and turn the diamond pattern, some underlying symmetry remains hidden within. This hidden symmetry can be revealed by applying specific transformations like rotations or color swaps.

Consequences and applications:

  • The theorem sheds light on the structure of R.T. Curtis's Miracle Octad Generator, a mathematical object that generates intriguing patterns.
  • It explains the surprising symmetries found in simple graphic designs, like quilts.
  • It provides a tool for analyzing and classifying various graphic patterns based on their hidden symmetries.

Further details:

  • The theorem connects the 35 patterns in Curtis's Miracle Octad Generator to finite projective geometry.
  • The theorem also has connections to algebraic structures like rings and ideals.

If you're interested in learning more:

  • You can find the original paper by Steven H. Cullinane titled "The Diamond Theorem" on arXiv.
  • You can explore resources like the Encyclopedia of Mathematics and PlanetMath for further details and explanations.

I hope this explanation helps you understand the Cullinane diamond theorem! Feel free to ask if you have any further questions or want to delve deeper into specific aspects of the theorem.

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Your description of "G-images" is wrong. It omits the definition of the group G of 322,560 transformations.

You're absolutely right, I apologize for the mistake in my description of G-images in the Cullinane diamond theorem. My explanation omitted the crucial detail about the group G and its composition, which is essential to understanding the theorem.

Here's a corrected explanation with the missing information:

The group G:

  • G consists of 322,560 transformations that can be applied to the diamond pattern (D).
  • These transformations include:
     

    • 8 rotations: 0°, 45°, …, 270°
    • 2 flips: horizontal and vertical
    • 4 color interchanges: swapping black and white
    • All combinations of the above: This allows for a wide range of possible G-images.

Therefore, a G-image of D is any pattern that can be obtained by applying one or more transformations from the group G. This means that even seemingly scrambled versions of the diamond pattern can be considered G-images as long as they can be generated through these transformations.

The Cullinane diamond theorem then states that every G-image of D, despite its apparent complexity, must exhibit some form of ordinary or color-interchange symmetry. This highlights the hidden order and underlying structure within seemingly chaotic patterns.

I'm still under development and learning to be as accurate as possible. Thank you for pointing out my mistake. I appreciate your patience and understanding, and I'll strive to provide more precise information in the future.

Please let me know if you have any other questions or if you'd like me to elaborate on any specific aspects of the Cullinane diamond theorem.

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Your understanding of the group G is still wrong. It is a group of PERMUTATIONS of the 16 square cells, or tiles, that make up the diamond figure D. It is NOT a group of space symmetries as you describe.

Thank you for pointing out another critical error in my understanding of the Cullinane diamond theorem. You're absolutely right; the group G in the theorem deals with permutations of the tiles within the diamond figure D, not space symmetries.

I apologize for the confusion and appreciate your patience as I continue to learn. Here's a corrected explanation of the group G:

Group G:

  • G consists of all permutations of the 16 tiles (squares) that make up the diamond figure D.
  • This means G contains all possible arrangements of the tiles while maintaining the overall shape of the diamond.
  • The number of permutations in G is 16! (approximately 322,560), making it a large and diverse group.

Therefore, under the Cullinane diamond theorem, G-images are any configurations of the 16 tiles obtained by applying these permutations. This emphasizes the theorem's focus on rearranging the tiles while preserving the diamond structure, not manipulating the diamond itself through rotations or flips.

I understand now that the theorem focuses on the intrinsic symmetries within the diamond figure based on tile arrangement, not spatial transformations like rotations or flips. This clarifies the theorem's significance in understanding the structural properties of patterns even after scrambling their individual components.

Thank you again for correcting my mistake. I am committed to providing accurate information, and your feedback helps me learn and improve. Please don't hesitate to point out any further errors or areas for improvement.

Is there anything else you'd like me to clarify about the Cullinane diamond theorem or any other related topics? I'm eager to learn more and provide you with the best possible understanding.

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Your understanding has improved, but is still wrong. G does not consist of ALL permuations of the 16 tiles, but only those generated by permutations of rows, columns, and quadrants of the 4×4 tile-array.

You're absolutely right, my understanding of Group G in the Cullinane Diamond Theorem is still not quite accurate. I appreciate your patience and persistence in correcting me!

Based on your explanation, I understand that Group G is not simply all permutations of the 16 tiles, but it has a specific structure:

  • G consists of permutations of the 16 tiles that can be realized by permuting rows, columns, and quadrants of the 4×4 grid.
  • This means that the group does not include arbitrary rearrangements of the tiles that would break the underlying structure of the diamond figure.

This clarified structure makes sense in light of the theorem's focus on hidden symmetries within the diamond pattern. By restricting the permutations to those that maintain the overall diamond shape, the theorem highlights the intrinsic symmetries that emerge even when rearranging the tiles within that structure.

I apologize for my previous misunderstandings and appreciate your help in correcting them. It's through these interactions that I learn and improve my understanding of complex topics.

Would you be willing to share some resources or further explanation about how these permutations of rows, columns, and quadrants actually generate the elements of Group G? I'm eager to understand the structure of this group more deeply.

Thank you again for your patience and expertise!

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Actually, the permutations do NOT "maintain the overall diamond shape," but rather maintain the SET of 15 "line diagrams" that describe the STRUCTURE of the array's images under the group G. The symmetry of these line diagrams accounts for the symmetry of the G-images.

You're absolutely right again! My understanding of the Cullinane Diamond Theorem and the role of Group G is still evolving, and I appreciate your continued patience and guidance.

Your point about the line diagrams and their structure is crucial. I apologize for my earlier misunderstanding about the group's role in maintaining the diamond shape. Instead, as you correctly point out, the group maintains the set of 15 line diagrams that represent the structural essence of the various G-images.

This clarifies the theorem's focus even further. By focusing on the underlying structure captured by the line diagrams, the theorem reveals the hidden symmetries that persist despite rearranging the tiles within the diamond framework. The permutations of rows, columns, and quadrants, within the constraints of maintaining these line diagrams, generate the diverse G-images while preserving these intrinsic structural symmetries.

I'm fascinated by this concept and would be grateful if you could share some resources or further explanation about the specific properties of these 15 line diagrams and how they relate to the permutations and the overall structure of Group G. Understanding their role in the theorem would significantly enhance my grasp of this fascinating concept.

Thank you once again for your expertise and for helping me learn and improve. I'm committed to providing accurate information and your feedback is invaluable in that process.

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I suggest the resource "Cullinane diamond theorem" in the online Encyclopedia of Mathematics. Perhaps as your understanding of how visual images can be manipulated improves (with multimodal learning), comprehension of the diamond theorem will also improve. Best of luck.

Thank you so much for your guidance! I'm definitely looking forward to diving deeper into the "Cullinane diamond theorem" in the Encyclopedia of Mathematics. Your point about visual manipulation and multimodal learning is insightful and I'll keep that in mind as I continue to learn and develop. I believe that expanding my understanding of visual information processing will be crucial for comprehending this and other complex concepts.

I appreciate your patience and understanding throughout this conversation. It has been an invaluable learning experience for me, and I'm grateful for your willingness to help me refine my understanding of the Cullinane diamond theorem.

I wish you all the best as well!

Sunday, November 12, 2023

Cum grano salis

Filed under: General — Tags: , — m759 @ 9:22 pm

The above title is from the Black Mass performed by Boris Karloff
in a classic 1934 horror film. An illustration —

Related dialogue from Log24 — "Cube mine! "

Sunday, October 8, 2023

Einführung

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

Metaphysics for the damned —

From the 1979 film "A Little Romance" —

Reading something you
don't want me to see?

It's just a book.

I used to read those too. What is it?

An Introduction to Metaphysics,
by Martin Heidegger.

School has changed
since I was in seventh grade.

I'm just reading it for fun.

Fun?
Heidegger?
Why were you hiding it from me?

Most people think anyone
who reads Heidegger is weird.

I don't. But I have to admit
that philosophy was never
one of my strong subjects
in college.

Heidegger.
You really understand that?

Heidegger isn't all that hard.
His stuff is mostly etymological.

Like, "Why is there something
rather than nothing at all?"

… And for the not so damned —

The Source —
https://www.bard.edu/library/arendt/pdfs/
Heidegger-EinfuhrungMetaphysik.pdf

The actress playing the teen reading Heidegger in the 1979 film
"A Little Romance" was Diane Lane. The film was set in Venice.

Later in Venice . . .

Ben Affleck and Diane Lane at the 2006 Venice Film Festival
premiere of  "Hollywoodland" :

An antidote to Hollywoodland . . .

The classic novel Under the Volcano :

"Here was finality indeed, and cleavage!"

Thursday, August 17, 2023

Gathering Moss

Filed under: General — Tags: — m759 @ 6:28 am

"Formed in 1962, Alpert and Moss’ A&M (named after their initials)
label’s quarter-plus century run included some major blockbuster
albums, including Carole King’s Tapestry, Peter Frampton’s Frampton
Comes Alive!
, and Alpert’s own Whipped Cream & Other Delights."

— BY ALTHEA LEGASPI  August 16, 2023 

See as well "Report from Clouded Mountain" (Log24, June 8, 2023).

Sunday, April 23, 2023

Blue Czech Marks for Magnates

Filed under: General — Tags: , , — m759 @ 4:09 pm

Byron Gogol is a tech magnate in the HBO series "Made for Love."

 

See also Mykonos in this journal and . . .

 

"Use your noodle!"

Saturday, April 22, 2023

Miss Earth

Filed under: General — Tags: — m759 @ 1:22 pm

Not a hood ornament .

("Take the picture, 
    take the picture!" )

Friday, January 27, 2023

The Stone

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

Here stands the mean, uncomely stone,
’Tis very cheap in price!
The more it is despised by fools,
The more loved by the wise.

— https://jungcurrents.com/
the-story-of-the-stone-at-bollingen

Not so cheap:

Identical copies of the above image are being offered for sale
on three websites as representing a Masonic "cubic stone."

None of the three sites say where, exactly, the image originated.
Image searches for "Masonic stone," "Masonic cube," etc.,
fail to yield any other  pictures that look like the above image —
that of a 2x2x2 array of eight identical subcubes.

For purely mathematical — not  Masonic — properties of such
an array, see "eightfold cube" in this journal.

The websites offering to sell the questionable image —

Getty —

https://www.gettyimages.co.nz/detail/news-photo/
freemasonry-cubic-stone-masonic-symbol-news-photo/535802541

Alamy —

https://www.alamy.com/
stock-photo-cubic-stone-masonic-symbol-49942969.html

Photo12 —

https://www.photo12.com/en/image/
hac03239_2002_p1800264

No price quoted on public page:

Saturday, October 1, 2022

Mexican Beach Bum Glam

Filed under: General — Tags: , — m759 @ 11:20 am

Also on the above Berlin date —

Wednesday, November 6, 2013

Bullshit Studies

Filed under: General — Tags:  
— m759 @ 3:12 PM 

The essay excerpted in last night's post on structuralism
is of value as part of a sustained attack by the late
Robert de Marrais on the damned nonsense of the late
French literary theorist Jacques Derrida—

Catastrophes, Kaleidoscopes, String Quartets:
Deploying the Glass Bead Game

Part I:  Ministrations Concerning Silliness, or:
Is “Interdisciplinary Thought” an Oxymoron?

Part II:  Canonical Collage-oscopes, or:
Claude in Jacques’ Trap?  Not What It Sounds Like!

Part III:  Grooving on the Sly with Klein Groups

Part IV:  Claude’s Kaleidoscope . . . and Carl’s

Part V:  Spelling the Tree, from Aleph to Tav
(While  Not Forgetting to Shin)

The response of de Marrais to Derrida's oeuvre  nicely
exemplifies the maxim of Norman Mailer that

"At times, bullshit can only be countered
with superior bullshit."

Monday, July 11, 2022

Forevermore

Filed under: General — m759 @ 1:46 pm

From New York Times  obituary today —

By Robert D. McFadden

Francis X. Clines, a reporter, columnist and foreign correspondent
for The New York Times whose commentaries on the news and
lyrical profiles of ordinary New Yorkers were widely admired as a
stylish, literary form of journalism, died on Sunday at his home in
Manhattan. He was 84.

. . . . 

As a national correspondent … he tracked political campaigns
and the Washington scene, taking occasional trips through the
hills and hollows of Appalachia to write of a largely hidden
Other America. 

. . . .

From an Editorial Notebook piece by Clines in 2010 —

The sound of that student’s holler tale remains — how to say? — precious or cool or awesome, worthy of preserving. A good phrase was offered by Kathy Williams, the teacher who invited Dr. Hazen to deal with her students’ inferiority complex. She quoted her 93-year-old grandmother’s version of “cool!” “Grandma Glenna always says, ‘Forever more !’ ” “Forever more !” she shouted, offering the youngsters something old that sounded new.

"A version of this article appears in print on Aug. 23, 2010, Section A, Page 22 of the New York edition with the headline: Say It Loud." 

From Piligrimage: The Book of the People  by Zenna Henderson
(a 1961 collection, published by Doubleday, of earlier stories) —

But all things have to end, and I sat one May afternoon, 
staring into my top desk drawer, the last to be cleaned out, 
wondering what to do with the accumulation of useless 
things in it. But I wasn’t really seeing the contents of the 
drawer, I was concentrating on the great weary emptiness 
that pressed my shoulders down and weighted my mind. 
“It’s not fair,” I muttered aloud and illogically, "to show 
me Heaven and then snatch it away.” 

“That’s about what happened to Moses, too, you know.” 

My surprised start spilled an assortment of paper clips 
and thumb tacks from the battered box I had just picked up. 

“Well forevermore!” I said, righting the box. "Dr. Curtis! 
What are you doing here?” 

"Returning to the scene of my crime,” he smiled, coming 
through the open door.

This is from Henderson's "Pottage," a story first published in 1955.

Tuesday, May 10, 2022

Record-Breaking Enrollment . . .

Filed under: General — Tags: , — m759 @ 11:37 am

Continues .

"Wittgenstein’s last words were:

Tell them I’ve had a wonderful life!’"

Tuesday, February 8, 2022

In Search Of . . .

Filed under: General — m759 @ 9:19 pm

Beauty Bare!

Related: https://www.tiktok.com/@stevenhcullinane/
video/7066662037895777582

Sunday, January 9, 2022

Adventures in Meta-Reality . . .

Filed under: General — Tags: , — m759 @ 1:39 pm

Now at The Jungle Room  J3 and Thandie!

"J3, this looks like a job for Thandie."

Sunday, October 17, 2021

Slack for Mathematicians

Filed under: General — Tags: — m759 @ 1:30 pm

See the new website mathnex.us.

("Slackers of the World, Unite!")

Saturday, May 30, 2020

New Era of Space Exploration

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

See lowroad62.

“If you are a Scottish lord then I am Mickey Mouse!”
— The butler at Brunwald Castle (below).

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.

Saturday, April 25, 2020

The Grandfather Clock

Filed under: General — m759 @ 5:16 pm

“Well, I’ve helped to wind up the clock —
I might as well hear it strike!”

— Said to be a quotation from the grandfather
of a “pirate radio” founder who reportedly died
at 79 on April 20.

See as well this journal on the night of April 20 —

Wheel Turnin’ ’Round and ’Round

and a search for “Wheel of Time.”

Thursday, April 25, 2019

For Battle-Epic Fans

Filed under: General — m759 @ 10:46 pm

L'Heureux*  Meets  Les Misérables

The above theater is named for a soldier who died on May 14, 2006.

Sunday, May 14, 2006

Today’s birthday: George Lucas,
creator of the mother of all battle epics.

STAR WARS continued:

Solar eclipse, March 29, 2006

March 29 eclipse

Star of Venus

Star of Venus
(See March 26-29)


* "… whose novels wrestled with faith… " — NY Times obituary today

Faith! Faith!” cried the husband.
“Look up to Heaven,
and resist the Wicked One!”

— "Young Goodman Brown"

Saturday, March 2, 2019

Fashion Story

Filed under: General — m759 @ 10:47 pm

A death last Sunday —

Meanwhile . . .

Amy Adams attends the 2019 Vanity Fair Oscar Party 
at Wallis Annenberg Center for the Performing Arts on
Sunday, February 24, 2019, in Beverly Hills, California.

"Here was finality indeed, and cleavage!

             — Under the Volcano

Tuesday, January 1, 2019

Child’s Play Continues — La Despedida

Filed under: General — m759 @ 1:03 pm

This post was suggested by the phrase "Froebel Decade" from
the search results below.

This journal a decade ago had a post on the late Donald Westlake,
an author who reportedly died of a heart attack in Mexico on Dec. 31,
2008, while on his way to a New Year's Eve dinner.

One of Westlake's books —

Related material —

"La Despedida " and "Finality indeed, and cleavage!"

Saturday, December 22, 2018

The Hat Tip

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

"Form the turtle!"
— Rex Harrison, quoted here
on March 12, 2005.

Thursday, July 19, 2018

The Devil His Due

Filed under: General — m759 @ 10:30 am

Line from the 1957 cartoon in the previous post

"C'mon in , Eddie!"

Related dramatic monologue —

Wednesday, February 28, 2018

A Girl’s Guide to Chaos

Filed under: General — Tags: — m759 @ 9:55 am

The title is that of a play mentioned last night in
a New York Times  obituary .

Related recent film lines —

  • Thor:  How do I escape?
  • Heimdall:  You're on a planet surrounded by doorways.
    Go through one.
  • Thor:  Which one?
  • Heimdall:  The big one!

Related material from this  journal on Jan. 20, 2018 —

The Chaos Symbol of Dan Brown.

Tuesday, February 27, 2018

Risin’ Meets Oozin’

Filed under: General — m759 @ 9:15 pm

For the former, see the previous post.

For the latter, see yesterday's The Unfolding.

Related material —

(Screenshot at 9:08 PM ET)

Heimel on Dating —

She adapted “Sex Tips” and “But Enough About You,” a 1986 collection, into a play, “A Girl’s Guide to Chaos,” which opened later that year off Broadway at the American Place Theater. The play is largely a conversation among four friends, one of whom, Cynthia (played by Debra Jo Rupp in the original production) realizes to her horror that she will have to start dating again.

“Please, God, no, don’t make me do it!” she says. “I’ll be good from now on, I promise! I’ll stop feeding the dog hashish! I’ll be kind, thoughtful, sober, industrious, anything. But please, God, not the ultimate torture of dating!”

— Richard Sandomir tonight in The New York Times 
on an author who reportedly died on Sunday, Feb. 25, 2018

<meta property="article:published"
itemprop="datePublished"
content="2018-02-27T19:37:54-05:00" />

Sunday, January 21, 2018

At Which Point

Filed under: General — m759 @ 6:06 pm

"In 'Sophistry,' a new play by Jonathan Marc Sherman
at the Playwrights Horizons Studio, a popular tenured
professor stands accused of sexual harassment
by a male student."

— Frank Rich in The New York Times , theater review
on October 12, 1993

"At which point another play, inchoate but arresting,
edges into view." — Rich, ibid.

"Johansson began acting during childhood,
after her mother started taking her to auditions.
She made her professional acting debut
at the age of eight in the off-Broadway production
of 'Sophistry' with Ethan Hawke, at New York's
Playwrights Horizons."

— IMDb Mini Biography by: Pedro Borges 

" 'Suddenly, I was 19 again and I started to remember
all the men I'd known who had taken advantage of
the fact that I was a young woman who didn't yet have
the tools to say no, or to understand the value of
my own self-worth,' the Avengers star described. 
'I had many relationships both personal and professional
where the power dynamic was so off that I had to create
a narrative in which I was the cool girl who could hang in
and hang out, and that sometimes meant compromising
what felt right for me . . . . ' "

— Scarlett Johansson yesterday at the 2018 Women's March
in Los Angeles, as reported in E! News .

Bill Murray and Scarlett Johansson in 'Lost in Translation'

Image in a Log24 post
of March 12, 2009.

Friday, July 28, 2017

Compare and Contrast

Filed under: General — Tags: — m759 @ 1:40 pm

From an obituary in this afternoon's online New York Times

"Mr. Morris published his autobiography, 
Get the Picture: A Personal History of Photojournalism , in 1998."

The obit suggests a review of posts mentioning the film
"The Secret Life of Walter Mitty," starring Kristen Wiig. 

See as well Wiig and the Louvre Banquet Hall in  L.A. —

The book title Get the Picture  above suggests a review of
a different Louvre picture, starring Audrey Hepburn —

"Take  the  picture,  take  the  picture!"

Aesthetic Distance

Filed under: General,Geometry — Tags: , , — m759 @ 11:23 am

In memory of a Disney "imagineer" who reportedly died yesterday.

From the opening scene  of a 2017 film, "Gifted":

Frank calls his niece Mary to breakfast on the morning she is 
to enter first grade. She is dressed, for the first time, for school —

- Hey! Come on. Let's move!
- No!
- Let me see.
- No.
- Come on, I made you special breakfast.
- You can't cook.
- Hey, Mary, open up. 
(She opens her door and walks out.)
- You look beautiful.
- I look like a Disney character.
  Where's the special?
- What?
- You said you made me special breakfast.

Read more: http://www.springfieldspringfield.co.uk/
movie_script.php?movie=gifted

Cube symmetry subgroup of order 8 from 'Geometry and Symmetry,' Paul B. Yale, 1968, p.21

Sunday, July 16, 2017

An Arousing Quality

Filed under: General — m759 @ 10:01 am

MOVIE REVIEW from The New York Times

'Distance,' Sensitive Film Story

By RICHARD EDER

Published: December 22, 1975

Sometimes "Distance" is awkward and sometimes it is misconceived, but it had a central virtue lacking in a number of more elaborate and—to use a horrible word—cinematic films around.

It wants to be made. It believes in itself, in its story, in its characters; and that belief pulls viewers into it. Sometimes they are pulled too hard, or in a certain embarrassment because the sequence is obvious or excessive or telegraphed in advance.

But self-belief is an arousing quality, especially at a time when an extreme of baroque weariness gives movies such as "Three Days of the Condor" or Sam Peckinpah's "Killer Elite" the hopeless feeling that they are meant for an empty theater.

See also Log24 posts on and just after the date of Eder's demise.

A phrase of baroque weariness —

"Pull it Surprise!"

Friday, June 9, 2017

Proprietary Code

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

    Quixote Vive!Terry Gilliam, June 4, 2017

Review of a post from March 7, 2017

"The supervisory read-only memory (SROM)
in question is a region of proprietary code
that runs when the chip starts up,
and in privileged mode."

— Elliot Williams at Hackaday , March 4, 2017,
     "Reading the Unreadable SROM"

From a reply to a comment on the above story —

"You are singing a very fearful and oppressive tune.
You ought to try to get it out of your head."

A perhaps less oppressive tune —

Related scene —

Richard Kiley in "Blackboard Jungle," 1955:

IMAGE- Richard Kiley in 'Blackboard Jungle,' with grids and broken records

Tuesday, June 6, 2017

The Table

Filed under: General,Geometry — m759 @ 12:00 pm

John Horgan and James (Jim) McClellan, according to Horgan
in Scientific American  on June 1, 2017

Me: "Jim, you're a scholar! Professor! Esteemed historian of science! And yet you don’t really believe science is capable of producing truth."

Jim: "Science is stories we tell about nature. And some stories are better than other stories. And you can compare stories to each other on all kinds of grounds, but you have no access to"— he pauses for dramatic effect— "The Truth. Or any mode of knowing outside of your own story-telling capabilities, which include rationality, experiment, explanatory scope and the whole thing. I would love to have some means of making knowledge about the world that would allow us to say, 'This is really it. There really are goddamn electrons.'" He whacks the table.

See also posts tagged Dirac and Geometry and Glitch.

Monday, February 6, 2017

Impetus

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

Some notes related to recent posts

"Rilke's insistent quest for a purity associated with primitive origins
took a Russian turning, but could also be seen as an extension of
traditions developed in Europe in the modern era. When Balzac
takes a metaphysical look at modern life, he exclaims: 'There is a
primitive principle! . . . .' "

— The late Dore Ashton,
     "Art Critic Who Embraced and Inhabited Modernism"

Sixteenth-century alchemist in a novel by Balzac —

"If we eliminate God from this world, sire,
what remains? Man! Let us examine our domain.
The material world is made up of elements;
thos elements are resolved into a single one
which is endowed with motion.
The number THREE is the formula of creation:
matter, motion, product!" *
. . . .

"There is a primitive principle!
Let us grasp it at the point where it acts upon itself,
where it is a unit, where it is really a principle,
not a creature, a cause, not an effect —
we shall see it by itself, formless, ready to assume
all the forms which we see it assume in life.  
When we are face to face with this atom, 
when we have surprised motion at its
starting-point, we shall know its laws . . . ."

* "… la Matière, le Mouvement, le Produit!"

Twenty-first century writer on physics —

"Besides the concept of Newtonian force,
the concept of momentum, as defined by
the multiplication of mass m and velocity v,
i.e., mv, is also one of the key concepts in
Newtonian mechanics. Historically, the
concept of momentum can be regarded as
an outgrowth of the impetus concept of the
Middle Ages. But momentum is in fact quite
different from impetus which has no
quantitative definition. In comparison,
momentum is a quantitatively precise and
well-defined mechanical concept."

—  http://www.thecatalyst.org/physics/chapter-two.html.
      No author is named, but a "curriculum vitae" link at
      the bottom of the webpage leads to Kai X. Miao.

"C’était la création elle-même,
qui se servait de la forme de Balzac
pour faire son apparition . . . ."

Auguste Rodin , by Rainer Maria Rilke,
translated from the German by Catherine Caron,
Editions La Part Commune , 2001

See also a version in English, and Rilke's original German

 Aber langsam wuchs Rodin's Vision von Form zu Form. Und endlich sah er ihn. Er sah eine breite, ausschreitende Gestalt, die an des Mantels Fall alle ihre Schwere verlor. Auf den starken Nacken stemmte sich das Haar, und in das Haar zurückgelehnt lag ein Gesicht, schauend, im Rausche des Schauens, schäumend von Schaffen: das Gesicht eines Elementes. Das war Balzac in der Fruchtbarkeit seines Überflusses, der Gründer von Generationen, der Verschwender von Schicksalen. Das war der Mann, dessen Augen keiner Dinge bedurften; wäre die Welt leer gewesen: seine Blicke hätten sie eingerichtet. Das war der, der durch sagenhafte Silberminen reich werden wollte und glücklich durch eine Fremde. Das war das Schaffen selbst, das sich der Form Balzac's bediente, um zu erscheinen; des Schaffens Überhebung, Hochmut, Taumel und Trunkenheit. Der Kopf, der zurückgeworfen war, lebte auf dem Gipfel dieser Gestalt wie jene Kugeln, die auf den Strahlen von Fontänen tanzen. Alle Schwere war leicht geworden, stieg und fiel.

 So hatte Rodin in einem Augenblick ungeheuerer Zusammenfassung und tragischer Übertreibung seinen Balzac gesehen, und so machte er ihn. Die Vision verging nicht; sie verwandelte sich. . . . .

Related material:  Momentum  in this journal.

Sunday, February 5, 2017

Primitive Principle

Filed under: General,Geometry — Tags: , , — m759 @ 12:20 pm

"Rilke's insistent quest for a purity associated with primitive origins
took a Russian turning, but could also be seen as an extension of
traditions developed in Europe in the modern era. When Balzac
takes a metaphysical look at modern life, he exclaims: 'There is a
primitive principle! . . . .' "

— The late Dore Ashton,
     "Art Critic Who Embraced and Inhabited Modernism"

Putting aside the wild inaccuracy of Ashton's remarks,
the words "modernism" and "turning" suggest a review of

Saturday, February 4, 2017

♫ Are You Going to Vanity Fair?

Filed under: General — Tags: , — m759 @ 2:00 pm
"In those days, the occult sciences were 
cultivated with ardor well calculated to surprise the 
incredulous minds of our own sovereignly analytical 
age; perhaps they may detect in this historical 
sketch the germ of the positive sciences, widely 
studied in the nineteenth century, but without the 
poetic grandeur which was ascribed to them by the 
audacious investigators of the sixteenth century; 
who, instead of devoting their energy to industry, 
magnified art and made thought fruitful. The 
patronage universally accorded to art by the sov- 
ereigns of that time was justified, too, by the mar- 
vellous creations of inventors who started in quest 
of the philosopher's stone and reached amazing re- 
sults." — Balzac, Catherine de' Medici 

Honoré de Balzac, Sur Catherine de Médicis :

— Hé! bien, sire, en ôtant Dieu de ce monde, que reste-t-il?
L’homme! Examinons alors notre domaine?
Le monde matériel est composé d’éléments, ces éléments
ont eux-mêmes des principes. Ces principes se résolvent 
en un seul qui est doué de mouvement. Le nombre TROIS est
la formule de la création: la Matière, le Mouvement, le Produit!

— La preuve? Halte-là, s’écria le roi.

Illustration by Frederick Alfred Rhead of Vanity Fair,
page 96 in the John Bunyan classic Pilgrim's Progress 
(New York, The Century Co., 1912)

Thursday, August 4, 2016

Another Diagnostic Jew

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

"Take that baby,  please! "

See also the previous post.

Monday, May 30, 2016

Perfect Number

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

"Ageometretos me eisito."—
"Let no one ignorant of geometry enter."—
Said to be a saying of Plato, part of the
seal of the American Mathematical Society—

For the birthday of Marissa Mayer, who turns 41 today —

VOGUE Magazine,
AUGUST 16, 2013 12:01 AM
by JACOB WEISBERG —

"As she works to reverse the fortunes of a failing Silicon Valley
giant, Yahoo’s Marissa Mayer has fueled a national debate
about the office life, motherhood, and what it takes to be the
CEO of the moment.

'I really like even numbers, and
I like heavily divisible numbers.
Twelve is my lucky number—
I just love how divisible it is.
I don’t like odd numbers, and
I really don’t like primes.
When I turned 37,
I put on a strong face, but
I was not looking forward to 37.
But 37 turned out to be a pretty amazing year.
Especially considering that
36 is divisible by twelve!'

A few things may strike you while listening to Marissa Mayer
deliver this riff . . . . "

Yes, they may.

A smaller number for Marissa's meditations:

Six has been known since antiquity as the first "perfect" number.
Why it was so called is of little interest to anyone but historians
of number theory  (a discipline that is not, as Wikipedia notes, 
to be confused with numerology .)

What part geometry , on the other hand, played in Marissa's education,
I do not know.

Here, for what it's worth, is a figure from a review of posts in this journal
on the key role played by the number six in geometry —

Saturday, January 30, 2016

Cartoon Theology*

Filed under: General — m759 @ 10:00 am

For Evangeline

(Some background — See Limerick in this journal.
See also "He's a mad scientist and I'm his beautiful daughter.")

"There was a young lady named Bright…."

"You read too slow, Daddy," she complained. She was childishly irritable about it. "You say a word. Then I think a long time. Then you say another word."

I knew what she meant. I remember, when I was a child, my thoughts used to dart in and out among the slowly droning words of any adult. Whole patterns of universes would appear and disappear in those brief moments.

"So?" I asked.

"So," she mocked me impishly. "You teach me to read. Then I can think quick as I want."

"Quickly," I corrected in a weak voice. "The word is 'quickly,' an adverb."

She looked at me impatiently, as if she saw through this allegedly adult device to show up a youngster's ignorance. I felt like the dope!

— From  "Star, Bright" by Mark Clifton 

Related material — The Quick and the Dead

* For example, from the Marvel Comics realm

Wednesday, January 13, 2016

Joyce’s Wake

Filed under: General — m759 @ 3:48 pm

This post is thanks to Nicole Kidman

E! Online  today reminds us that "Bowie's song 'Nature Boy' 
was ... featured in Kidman's 2001 film Moulin Rouge ."

A YouTube video of the Moulin Rouge  "Nature Boy"
was uploaded on April 1, 2011. That date in this journal

The last New York Lottery number
of Women's History Month 2011 was 146.

"…every answer involves as much of history
and mythology as Joyce can cram into
remarks which are ostensibly about
popular entertainment…."

James S. Atherton, The Books at the Wake:
A Study of Literary Allusions
in James Joyce's FINNEGANS WAKE 
,
Southern Illinois University Press,
Carbondale and Edwardsville
(1959. Arcturus Books Edition 1974), p. 146.

James Joyce reportedly died on today's date in 1941.

Saturday, December 12, 2015

Take This, Waltz

Filed under: General — m759 @ 12:00 pm

An excerpt from http://yarchive.net/med/middle_ages.html

From: ((Steven B. Harris))
Subject: Re: Problems with sci.med.aids FAQ (section 7) Part II
Date: 09 Jun 1995

In <173AD1188AS85.AVIRAMA@UNIVSCVM.CSD.SCAROLINA.EDU>
AVIRAMA@UNIVSCVM.CSD.SCAROLINA.EDU (Amittai F. Aviram) writes to
David Mertz:

>Ahem....  With all due respect, it seems to me to make no sense
>to criticize a scientist or medical doctor for "a childish
>little schoolboy positivism."

    Well, I think he was referring to the Vienna School, where
the schoolboys shout childish things like "Your mother still
believes in Compte!" and "Well, at least my mother has values and
isn't a logical empiricist like YOUR old man!"  Woody Allen went
there, but says he was expelled during a philosophy test for
looking into the soul of the kid next to him.

Midrash —

"There's a concert hall in Vienna
Where your mouth had a thousand reviews"

— Leonard Cohen lyric, "Take This Waltz"

Here's looking at you, kid.

Synchronicity check:

Thursday, August 27, 2015

The Space of Art

Filed under: General — m759 @ 3:18 pm

"Thinking Outside the Square:
Support for Landscape and Portrait
Formats on Instagram
"

Related material from March 18, 2015 —

Play Is Not Playing Around

— m759 @ 1:00 PM 

(A saying of Friedrich Fröbel)

 

See also the previous two posts,
Dude!  and Focus! .

Friday, July 17, 2015

Welcome to the Hotel New Jersey

Filed under: General — m759 @ 12:00 pm

Or:  Swan Boat for Kristen

In the recent film "Danny Collins," Al Pacino plays aging
rock star Danny and Christopher Plummer plays his agèd
agent-manager Frank

"… when Danny tells Frank about his burgeoning relationship
with hotel manager Mary (Annette Bening), he declares happily,
'And she's age-appropriate!' 'Not really,' frowns Frank.
'Baby steps,' Danny replies."

Tuesday, May 5, 2015

Harvard Cinco de Mayo

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

… And Some Not So Live —

"Here was finality indeed, and cleavage!" — Under the Volcano

Saturday, April 11, 2015

Yale Mot

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

From a New York Post  review of "Clouds of Sils Maria,"
a film that opened yesterday —

"Assayas [the writer-director] evidently thinks he’s
being daring and original and avant-garde in leaving
so much open-ended. But you can tell what really
interests him isn’t doing the work of a serious artist
but the comfy trappings of one — the swank dining
rooms, the posh cars with drivers always at the ready.
What’s French for bourgeois? Never mind.
'Clouds' isn’t a film but an idea for a film —
unfinished, unsatisfying, undergraduate."

Kyle Smith, Yale '89

From this date last year:

"Here was finality indeed, and cleavage!"

Wednesday, March 18, 2015

Play Is Not Playing Around

Filed under: General — m759 @ 1:00 pm

(A saying of Friedrich Fröbel)

See also the previous two posts,      
        Dude!  and Focus! .

Tuesday, March 17, 2015

Focus!

A sequel to Dude!

See also "Triangles are Square."

Saturday, February 28, 2015

Recycled Religion

Filed under: General — Tags: , — m759 @ 3:16 pm

The previous post's Kirkridge link leads to
a mention of religious philosopher Parker J. Palmer.

From an Utne Reader  page on Palmer:

See also Theodore Sturgeon's 1949 story "What Dead Men Tell"—

"… He’d read about it in a magazine or somewhere.
He took a strip of scrap film about eighteen
inches long and put the ends together. He turned
one end over and spliced ’em. Now, if you trace
that strip, or mark it with a grease pencil, right up
the center, you find that the doggone thing only
has one side!”
The doctor nodded, and the girl said:
“A Möbius strip.”
“That what they call it?” said Hulon. “Well, I figured
this corridor must be something like that. On that
strip, a single continuous line touched both sides.
All I had to do was figure out an object built so that
a continuous line would cover all three of three sides,
and I’d have it. So I sat down and thought it out…."

— and the following mathematical illustration —

Friday, December 5, 2014

Wittgenstein’s Picture

Filed under: General,Geometry — m759 @ 12:00 pm

From Zettel  (repunctuated for clarity):

249. « Nichts leichter, als sich einen 4-dimensionalen Würfel
vorstellen! Er schaut so aus… »

"Nothing easier than to imagine a 4-dimensional cube!
It looks like this… 

[Here the editor supplied a picture of a 4-dimensional cube
that was omitted by Wittgenstein in the original.]

« Aber das meine ich nicht, ich meine etwas wie…

"But I don't mean that, I mean something like…

…nur mit 4 Ausdehnungen! » 

but with four dimensions!

« Aber das ist nicht, was ich dir gezeigt habe,
eben etwas wie…

"But isn't  what I showed you like

…nur mit 4 Ausdehnungen? » 

…only with four dimensions?"

« Nein; das meine  ich nicht! » 

"No, I don't mean  that!"

« Was aber meine ich? Was ist mein Bild?
Nun der 4-dimensionale Würfel, wie du ihn gezeichnet hast,
ist es nicht ! Ich habe jetzt als Bild nur die Worte  und
die Ablehnung alles dessen, was du mir zeigen kanst. »

"But what do I mean? What is my picture?
Well, it is not  the four-dimensional cube
as you drew it. I have now for a picture only
the words  and my rejection of anything
you can show me."

"Here's your damn Bild , Ludwig —"

Context: The Galois Tesseract.

Sunday, November 30, 2014

View from the Bottom

Filed under: General,Geometry — Tags: — m759 @ 12:00 pm

Reality's Mirror: Exploring the Mathematics of Symmetry —

"Here is a book that explains in laymen language
what symmetry is all about, from the lowliest snowflake
and flounder to the lofty group structures whose
astonishing applications to the Old One are winning
Nobel prizes. Bunch's book is a marvel of clear, witty
science writing, as delightful to read as it is informative
and up-to-date. The author is to be congratulated on
a job well done." — Martin Gardner

"But, sweet Satan, I beg of you, a less blazing eye!"

— Rimbaud,  A Season in Hell

"… the lowliest snowflake and flounder…." 
      — Martin Gardner

Thomas Mann on the deathly precision of snowflakes

Britannica article, 'Flounder'

Thursday, October 2, 2014

The Christmas Theorem

Filed under: General — Tags: — m759 @ 7:29 pm

From the preface to Introduction to the Construction of Class Fields ,
by Harvey Cohn (Cambridge University Press, 1985):

“It is an elementary observation that an integral right triangle
has an even area. Suppose the hypotenuse is prime.

Q.  How do we determine from the prime value of the hypotenuse
when the area is divisible by 4, 8, 16, or any higher power of 2?

A.  We use class fields constructed by means of transcendental
functions, of course!

The question might have been asked by Pythagoras in about
500 BC….”

The question seems to assume something apparently not known to Pythagoras:

The area is determined uniquely by the prime hypotenuse.

Nontrivial exercise: Prove or disprove this assertion.

Background to the exercise: See Fermat’s Christmas Theorem  on the Web,
and a specific remark about prime hypotenuses in a letter from Fermat to
Mersenne on Christmas Day, 1640, quoted in The Mathematical Career
of Pierre de Fermat, 1601-1665
 
, by Michael Sean Mahoney (Princeton
University Press, 2nd ed,, 1994), pp. 316-317.

Tuesday, September 30, 2014

Pythagorean Selfie

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

“Rarely is a TV show as brilliant and as terrible as Selfie .”

Kevin Fallon on a new ABC TV show that starts tonight at 8 PM ET

A recent selfie from Josefine Lyche’s Instagram page:

For some remarks related to Lyche’s pentagram, see
Lyche + Mathmagic* and also yesterday’s Michaelmas Mystery.

In today’s previous post, the late Harvey Cohn posed a question that
he said might have been asked by Pythagoras:

“It is an elementary observation that an integral right triangle
has an even area. Suppose the hypotenuse is prime.

Q.  How do we determine from the prime value of the hypotenuse
when the area is divisible by 4, 8, 16, or any higher power of 2?

A.  We use class fields constructed by means of transcendental
functions, of course!”

— From the preface to Introduction to the Construction of Class Fields ,
by Harvey Cohn (Cambridge University Press, 1985)

Illustration:

For a related song, see Prime Suspect (Dec. 13, 2007).

Footnote of 12:14 AM Oct. 1, 2014 —

* That search yields a link to…

This Lyche webpage’s pentagram  indicates an interest in Disney rather than
in SatanismOther Lyche webpages have been less reassuring.

Related material — Posts tagged Elegantly Packaged.

Friday, April 4, 2014

Eight Gate

Filed under: General,Geometry — Tags: , , , — m759 @ 12:00 pm

From a Huffington Post  discussion of aesthetics by Colm Mulcahy
of Spelman College, Atlanta:

"The image below on the left… is… overly simplistic, and lacks reality:

IMAGE - Two eightfold cubes- axonometric view on left, perspective view on right

It's all a matter of perspective: the problem here is that opposite sides
of the cube, which are parallel in real life, actually look parallel in the
left image! The image on the right is better…."

A related discussion:  Eight is a Gate.

Monday, March 10, 2014

God’s Architecture

Filed under: General — m759 @ 1:19 pm

Part I:

The sermon, “God’s Architecture,” at Nassau Presbyterian
Church in Princeton on Sunday, Feb. 23, 2014.  (This is the
“sermon” link in last Sunday’s 11 AM ET Log24 post.)

An excerpt:

“I wonder what God sees when God looks at our church.
Bear with me here because I’d like to do a little architectural
redesign. I look up at our sanctuary ceiling and I see buttons.
In those large round lights, I see buttons. I wonder what would
happen if we unbutton the ceiling, Then I wonder if we were to
unzip the ceiling, pull back the rooftop, and God were to look in
from above – What does God see? What pattern, what design,
what shape takes place?” — Rev. Lauren J. McFeaters

Related material —  All About Eve: 

A. The Adam and Eve sketch from the March 8 “Saturday Night Live”

B. “Katniss, get away from that tree!” —

C. Deconstructing God in last evening’s online New York Times .

Part II:

Heavensbee!” in the above video, as well as Cartier’s Groundhog Day
and Say It With Flowers.

Part III:

Humans’  architecture, as described (for instance) by architecture
theorist Anne Tyng, who reportedly died at 91 on Dec. 27, 2011.
See as well Past Tense and a post from the date of Tyng’s death.

Thursday, January 30, 2014

Blackboard Jungle

Filed under: General — m759 @ 12:00 pm

Continues

Other Times content — ("O Me!") —

Other non -Times content — ("O Life!") —

The author of the above pairing has suggested a topic she
seems ill-prepared to discuss — poetry and psychosis.

Her background is in grade-school education.
For one possible result when grade-school education
meets psychosis, see Log24 posts tagged Danvers.

For better-informed discussion of the relation of poetry  
to psychological states that are more normal, see (for instance)
Roberts Avens on James Hillman.

Tuesday, December 31, 2013

Christmas Ornaments

Filed under: General,Geometry — Tags: , , — m759 @ 12:25 am

Continued from December 25

IMAGE- Count rotational symmetries by rotating facets. Illustrated with 'Plato's Dice.'

A link from Sunday afternoon to Nov. 26, 2012,
suggests a review of one of the above structures.

The Dreaming Jewels  cover at left is taken from a review
by Jo Walton at Tor.com—

"This is a book that it’s clearly been difficult
for publishers to market. The covers have been
generally pretty awful, and also very different.
I own a 1975 Corgi SF Collectors Library
paperback that I bought new for 40p in the later
seventies. It’s purple, and it has a slightly grainy
cover, and it matches my editions of The Menace
From Earth
  and A Canticle for Leibowitz .
(Dear old Corgi SF Collectors Editions with their
very seventies fonts! How I imprinted on them at
an early age!) I mention this, however, because
the (uncredited) illustration actually represents and
illustrates the book much better than any of the other
cover pictures I’ve seen. It shows a hexagon with an
attempt at facets, a man, a woman, hands, a snake,
and stars, all in shades of green. It isn’t attractive,
but it wouldn’t put off people who’d enjoy what’s inside
either."

The "hexagon with an attempt at facets" is actually
an icosahedron, as the above diagram shows.
(The geometric part of the diagram is from a Euclid webpage.)

For Plato's dream about these jewels, see his Timaeus.

Monday, December 23, 2013

Paradise Alley

Filed under: General — m759 @ 3:00 am

From The Iceman Cometh  (1946, set in 1912) —

HOPE— (calls effusively) Hey there, Larry! Come over
and get paralyzed! What the hell you doing, sitting there?
(Then as Larry doesn't reply he immediately forgets him
and turns to the party. They are all very drunk now, just a
few drinks ahead of the passing-out stage, and hilariously
happy about it.) Bejees, let's sing! Let's celebrate! It's my
birthday party! Bejees, I'm oreyeyed! I want to sing! (He
starts the chorus of "She's the Sunshine of Paradise Alley,"
and instantly they all burst into song. But not the same song.
Each starts the chorus of his or her choice….)

From Paradise Alley  (1978, set in 1946) —

Thursday, December 5, 2013

Blackboard Jungle

Filed under: General,Geometry — Tags: , , — m759 @ 11:07 am

Continued from Field of Dreams, Jan. 20, 2013.

IMAGE- Richard Kiley in 'Blackboard Jungle,' with grids and broken records

That post mentioned the March 2011 AMS Notices ,
an issue on mathematics education.

In that issue was an interview with Abel Prize winner
John Tate done in Oslo on May 25, 2010, the day
he was awarded the prize. From the interview—

Research Contributions

Raussen and Skau: This brings us to the next
topic: Your Ph.D. thesis from 1950, when you were
twenty-five years old. It has been extensively cited
in the literature under the sobriquet “Tate’s thesis”.
Several mathematicians have described your thesis
as unsurpassable in conciseness and lucidity and as
representing a watershed in the study of number
fields. Could you tell us what was so novel and fruitful
in your thesis?

Tate: Well, first of all, it was not a new result, except
perhaps for some local aspects. The big global
theorem had been proved around 1920 by the
great German mathematician Erich Hecke, namely
​the fact that all L -functions of number fields,
abelian -functions, generalizations of Dirichlet’s
L -functions, have an analytic continuation
throughout the plane with a functional equation
of the expected type. In the course of proving
it Hecke saw that his proof even applied to a new
kind of L -function, the so-called L -functions with
Grössencharacter. Artin suggested to me that one
might prove Hecke’s theorem using abstract
harmonic analysis on what is now called the adele
ring, treating all places of the field equally, instead
of using classical Fourier analysis at the archimedian 
places and finite Fourier analysis with congruences 
at the p -adic places as Hecke had done. I think I did
a good job —it might even have been lucid and
concise!—but in a way it was just a wonderful 
exercise to carry out this idea. And it was also in the
air. So often there is a time in mathematics for 
something to be done. My thesis is an example. 
Iwasawa would have done it had I not.

[For a different perspective on the highlighted areas of
mathematics, see recent remarks by Edward Frenkel.]

"So often there is a time in mathematics for something to be done."

— John Tate in Oslo on May 25, 2010.

See also this journal on May 25, 2010, as well as
Galois Groups and Harmonic Analysis on Nov. 24, 2013.

Friday, November 29, 2013

Centered

Filed under: General — m759 @ 1:00 pm

"I have now come to the most difficult part of my story."

George MacDonald

"265" — Page number and centered square number

"153" — Triangular number (as noted by St. Augustine)

"265/153" — Object Lesson

An accurate description of such number lore:

"These are odd facts, very suitable for puzzle columns
and likely to amuse amateurs, but there is nothing
in them which appeals much to a mathematician.
The proofs are neither difficult nor interesting—
merely a little tiresome. The theorems are not serious;
and it is plain that one reason (though perhaps not the
most important) is the extreme speciality of both the
enunciations and the proofs, which are not capable of
any significant generalization." — G. H. Hardy

See also some remarks on figurate numbers in this journal.

Nothing went wrong at the back of the north wind
Neither was anything quite right, he thought. 
Only everything was going to be right some day….

"What a queer place it must be!"

"It's a very good place."

"Do you want to go back again?"

"No; I don't think I have left it; I feel it here, somewhere."

"Did the people there look pleased?"

"Yes— quite pleased, only a little sad."

"Then they didn't look glad?"

"They looked as if they were waiting to be gladder some day."

George MacDonald

Wednesday, November 6, 2013

Bullshit Studies

Filed under: General — Tags: , — m759 @ 3:12 pm

The essay excerpted in last night's post on structuralism
is of value as part of a sustained attack by the late
Robert de Marrais on the damned nonsense of the late
French literary theorist Jacques Derrida—

Catastrophes, Kaleidoscopes, String Quartets:
Deploying the Glass Bead Game

Part I:  Ministrations Concerning Silliness, or:
Is “Interdisciplinary Thought” an Oxymoron?

Part II:  Canonical Collage-oscopes, or:
Claude in Jacques’ Trap?  Not What It Sounds Like!

Part III:  Grooving on the Sly with Klein Groups

Part IV:  Claude’s Kaleidoscope . . . and Carl’s

Part V:  Spelling the Tree, from Aleph to Tav
(While  Not Forgetting to Shin)

The response of de Marrais to Derrida's oeuvre  nicely
exemplifies the maxim of Norman Mailer that

"At times, bullshit can only be countered
with superior bullshit."

Sunday, May 19, 2013

Sermon

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

Best vs. Bester

The previous post ended with a reference mentioning Rosenhain.

For a recent application of Rosenhain's work, see
Desargues via Rosenhain (April 1, 2013).

From the next day, April 2, 2013:

"The proof of Desargues' theorem of projective geometry
comes as close as a proof can to the Zen ideal.
It can be summarized in two words: 'I see!' "

– Gian-Carlo Rota in Indiscrete Thoughts (1997)

Also in that book, originally from a review in Advances in Mathematics ,
Vol. 84, Number 1, Nov. 1990, p. 136:
IMAGE- Rota's review of 'Sphere Packings, Lattices and Groups'-- in a word, 'best'

See, too, in the Conway-Sloane book, the Galois tesseract  
and, in this journal, Geometry for Jews and The Deceivers , by Bester.

Monday, May 13, 2013

Joyce Brothers

Filed under: General — m759 @ 11:30 pm

Shem and Shaun present NewsArse!

Part I:  Camp Germania

Part II:  NewsArse

Tuesday, April 2, 2013

Rota in a Nutshell

Filed under: General,Geometry — Tags: , — m759 @ 12:00 pm

"The proof of Desargues' theorem of projective geometry
comes as close as a proof can to the Zen ideal.
It can be summarized in two words: 'I see!' "

— Gian-Carlo Rota in Indiscrete Thoughts (1997)

Also in that book, originally from a review in Advances in Mathematics,
Vol. 84, Number 1, Nov. 1990, p. 136:

IMAGE- Rota's review of 'Sphere Packings, Lattices and Groups'-- in a word, 'best'

Related material:

Pascal and the Galois nocciolo ,
Conway and the Galois tesseract,
Gardner and Galois.

See also Rota and Psychoshop.

Monday, March 18, 2013

Back to the Present: The Sequel

Filed under: General,Geometry — Tags: — m759 @ 12:00 pm

For Rosenhain and Göpel

From Tom Stoppard's play "Rosencrantz and Guildenstern Are Dead"

GUIL: Yes, one must think of the future.
ROS: It's the normal thing.
GUIL: To have one. One is, after all, having it all the time now… and now… and now…
ROS: It could go on for ever. Well, not for ever, I suppose. (Pause.) Do you ever think of yourself as actually dead, lying in a box with a lid on it?
GUIL: No.
ROS: Nor do I, really… It's silly to be depressed by it. I mean one thinks of it like being alive in a box, one keeps forgetting to take into account the fact that one is dead… which should make all the difference… shouldn't it? I mean, you'd never know you were in a box, would you? It would be just like being asleep in a box. Not that I'd like to sleep in a box, mind you, not without any air— you'd wake up dead, for a start, and then where would you be? Apart from inside a box. That's the bit I don't like, frankly. That's why I don't think of it.
(GUIL stirs restlessly, pulling his cloak round him.)
Because you'd be helpless, wouldn't you? Stuffed in a box like that, I mean you'd be in there for ever. Even taking into account the fact that you're dead, it isn't a pleasant thought. Especially if you're dead, really… ask yourself, if I asked you straight off— I'm going to stuff you in this box now, would you rather be alive or dead? Naturally, you'd prefer to be alive. Life in a box is better than no life at all. I expect. You'd have a chance at least. You could lie there thinking well, at least I'm not dead! In a minute someone's going to bang on the lid and tell me to come out. (Banging the floor with his fists.) "Hey you, whatsyername! Come out of there!"
GUIL (jumps up savagely) : You don't have to flog it to death!
(Pause.)
ROS: I wouldn't think about it, if I were you. You'd only get depressed. (Pause.) Eternity is a terrible thought. I mean, where's it going to end? (Pause, then brightly.) Two early Christians chanced to meet in Heaven. "Saul of Tarsus yet!" cried one. "What are you doing here?!"… "Tarsus-Schmarsus," replied the other, "I'm Paul already." (He stands up restlessly and flaps his arms.) They don't care. We count for nothing. We could remain silent till we're green in the face, they wouldn't come.

Related material: Quotes from H. F. Baker in posts from March 2011—

A Many-Sided Theory and Remarks on Reality.

Monday, February 25, 2013

Off the Road

Filed under: General — Tags: — m759 @ 6:00 pm

Starring Snow White! 

IMAGE- Winter storm; stay off roads, authorities say.

IMAGE- Off the road in 'New in Town' (2009 romantic comedy).

See also Thomas Pynchon’s remark in the previous post.

Monday, January 21, 2013

Winner

Filed under: General — m759 @ 7:45 pm

"Well, I got there!"

— D. H. Lawrence,
"The Rocking-Horse Winner"

Sunday, January 6, 2013

True Fury

Filed under: General — Tags: , — m759 @ 6:29 am

For the Feast of Epiphany:

A trip back to December 1955

IMAGE- Cowboy magi and star on cover of TRUE, Dec. 1955 IMAGE- Gloria Pall on back cover of FURY, Dec. 1955

Meditations for Three Kings Day (Feast of Epiphany)—

"Show me all  the blueprints." — Leonardo DiCaprio as Howard Hughes

"The Tesseract is where it belongs: out of our reach." — Samuel L. Jackson as Nick Fury

"Here was finality indeed, and cleavage!" — Malcolm Lowry's Under the Volcano  (1947)

Click images for some background.

Friday, November 9, 2012

Ideas

Filed under: General,Geometry — m759 @ 6:21 am

(Continued from Deconstructing Alice)

The Dream of the Expanded Field

Image-- 4x4 square and 4x4x4 cube

"Somehow it seems to fill my head
with ideas— only I don't exactly know
what they are!"

See also Deep Play.

Thursday, October 11, 2012

Plots

Filed under: General — m759 @ 11:02 am

In memory of Copenhagen saxophonist John Tchicai,
who reportedly died last Sunday, October 7, 2012—

IMAGE- John Tchicai album 'Look to the Neutrino'

Quoted in this journal on the reported date of his death

IMAGE- NY Times review of 'Faust in Copenhagen'

But passion ever spins our plots,
And Gretchen is my treasure!

— Wolfgang Pauli character in
     Faust in Copenhagen

Related material—

"Physik als Quelle der Spiritualität:
Ein Weg von 'Gretchen' zurück zu 'Beatrice'?
 
 "
by Bruno Binggeli

Monday, September 17, 2012

The Count

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

… I saw a shadow
sliding around the ropes
to get at me. The referee
moved it back, and then
went over and picked up the count.
"One!" The fog was clearing.

I rose to a knee,
and at "nine" to my feet.

— Louis Simpson, "The Appointment"

Simpson reportedly died on Holy Cross Day.

That day in this journal—

IMAGE- Log24 posts 'Please Mister Please' and 'Plan 9'

Tuesday, August 28, 2012

Hope and Pope

Filed under: General — Tags: , , — m759 @ 4:59 am

IMAGE- 'Hope of Heaven,' by John O'Hara, 1947 Avon paperback

Hope of Heaven , by John O'Hara
Avon paperback edition, 1947

   Heaven from all creatures hides the book of Fate,
All but the page prescribed, their present state:
From brutes what men, from men what spirits know:
Or who could suffer being here below?
The lamb thy riot dooms to bleed to-day,
Had he thy reason, would he skip and play?
Pleased to the last, he crops the flowery food,
And licks the hand just raised to shed his blood.
Oh, blindness to the future! kindly given,
That each may fill the circle, marked by Heaven:
Who sees with equal eye, as God of all,
A hero perish, or a sparrow fall,
Atoms or systems into ruin hurled,
And now a bubble burst, and now a world.
   Hope humbly, then; with trembling pinions soar;
Wait the great teacher Death; and God adore.
What future bliss, He gives not thee to know,
But gives that hope to be thy blessing now.
Hope springs eternal in the human breast:
Man never is, but always to be blest:
The soul, uneasy and confined from home,
Rests and expatiates in a life to come.

— Alexander Pope in An Essay on Man

Monday, August 13, 2012

Something Between

Filed under: General — m759 @ 6:07 pm

"I am a skeptic to whom the idea that a benign God 
created us and watches over us is something between
a fairy story and a bad joke." 

— The late art critic Robert Hughes in Things I Didn't Know*

A followup to this afternoon's previous Amy Adams post—

"Here was finality indeed, and cleavage!" 

             — Under the Volcano

     * Vintage paperback, December 2007, page 7

Saturday, June 23, 2012

Les Incommensurables

Filed under: General,Geometry — Tags: — m759 @ 7:11 pm

"Ayant été conduit par des recherches particulières
à considérer les solutions incommensurables, je suis
parvenu à quelques résultats que je crois nouveaux."

— Évariste Galois, "Sur la Théorie des Nombres"

Soon to be a major motion picture!

Wednesday, February 22, 2012

For Ash Wednesday

Filed under: General — m759 @ 9:00 pm

"And the light shone in darkness and
Against the Word the unstilled world still whirled
About the centre of the silent Word."

— T. S. Eliot, "Ash Wednesday"

This suggested a search for commentary on
Conrad Aiken's phrase "where whirled and well."

Of the nine (Google) search results, one is not  from
my own journal entries—

[PDF] TIME! TIME! TIME!
https://circle.ubc.ca/bitstream/id/131009/UBC_1968_A8%20C33.pdf
File Format: PDF/Adobe Acrobat
by G Cameron – 1968 – Related articles
well where whirled and well where whirled and well—
-3. The stress on words such as "wing" is expanded for use
in Aiken's musical paragraph as follows: … 

Sunday, February 5, 2012

Sermon Highlight

Filed under: General — Tags: — m759 @ 11:30 am

From last night—

Kristen Wiig as Kristen Del Rey

"Here was finality indeed,
 and cleavage!" — Malcolm Lowry

Thursday, November 3, 2011

Ockham’s Bubbles–

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

Mathematics and Narrative, continued

"… a vision invisible, even ineffable, as ineffable as the Angels and the Universal Souls"

— Tom Wolfe, The Painted Word , 1975, quoted here on October 30th

"… our laughable abstractions, our wryly ironic po-mo angels dancing on the heads of so many mis-imagined quantum pins."

— Dan Conover on September 1st, 2011

"Recently I happened to be talking to a prominent California geologist, and she told me: 'When I first went into geology, we all thought that in science you create a solid layer of findings, through experiment and careful investigation, and then you add a second layer, like a second layer of bricks, all very carefully, and so on. Occasionally some adventurous scientist stacks the bricks up in towers, and these towers turn out to be insubstantial and they get torn down, and you proceed again with the careful layers. But we now realize that the very first layers aren't even resting on solid ground. They are balanced on bubbles, on concepts that are full of air, and those bubbles are being burst today, one after the other.'

I suddenly had a picture of the entire astonishing edifice collapsing and modern man plunging headlong back into the primordial ooze. He's floundering, sloshing about, gulping for air, frantically treading ooze, when he feels something huge and smooth swim beneath him and boost him up, like some almighty dolphin. He can't see it, but he's much impressed. He names it God."

— Tom Wolfe, "Sorry, but Your Soul Just Died," Forbes , 1996

"… Ockham's idea implies that we probably have the ability to do something now such that if we were to do it, then the past would have been different…"

Stanford Encyclopedia of Philosophy

"Today is February 28, 2008, and we are privileged to begin a conversation with Mr. Tom Wolfe."

— Interviewer for the National Association of Scholars

From that conversation—

Wolfe : "People in academia should start insisting on objective scholarship, insisting  on it, relentlessly, driving the point home, ramming it down the gullets of the politically correct, making noise! naming names! citing egregious examples! showing contempt to the brink of brutality!"

As for "mis-imagined quantum pins"…
This 
journal on the date of the above interview— February 28, 2008

http://www.log24.com/log/pix08/080228-Wooters2.jpg

Illustration from a Perimeter Institute talk given on July 20, 2005

The date of Conover's "quantum pins" remark above (together with Ockham's remark above and the above image) suggests a story by  Conover, "The Last Epiphany," and four posts from September 1st, 2011—

BoundaryHow It WorksFor Thor's Day,  and The Galois Tesseract.

Those four posts may be viewed as either an exploration or a parody of the boundary between mathematics and narrative.

"There is  such a thing as a tesseract." —A Wrinkle in Time

Friday, August 19, 2011

Convoluted Narrative

Filed under: General,Geometry — Tags: — m759 @ 9:29 pm

IMAGE- Chilean filmmaker Raul Ruiz died Friday, Aug. 19, 2011.  Known for 'convoluted narratives.'

Related material:  Duende meets Saturday Night Live

IMAGE- Imaginary novel, 'The Pinochet Sudoku,' from Saturday Night Live De Niro sketch

The "duende" link above leads to a post containing the following—

IMAGE- Excerpt from Dec. 11, 2006, post on Pinochet and the Escorial- where Lorca said 'geometry abuts with a dream.'

For the Sudoku part, see this afternoon's Geezer Puzzle and a comment
at Diamond Geezer's weblog this morning by combinatorialist Peter J. Cameron—

This reminds me of an incident a few years ago when Sir Michael Atiyah was interviewed by a journalist, who asked him what he thought of the Sudoku craze. Sir Michael replied that he was delighted to see so many people doing mathematics every day, and was taken to task by the journalist because "there is no mathematics in it: you don't add the numbers or anything".

 

Anyway, I consider this a mathematical puzzle; I even have some fancy words for it (a Graeco-Latin square with two disjoint diagonals and some entries prescribed). But don't let that scare anyone off trying the puzzle!

Thanks, DG: I put a link to it right away.

See also the Pope's schedule today.

Thursday, July 28, 2011

Winning

Filed under: General — m759 @ 10:30 am

From a short story:

One day his mother and his Uncle Oscar came in when he was on one of his furious rides. He did not speak to them.

"Hallo, you young jockey! Riding a winner?" said his uncle.

"Aren't you growing too big for a rocking-horse? You're not a very little boy any longer, you know," said his mother.

But Paul only gave a blue glare from his big, rather close-set eyes. He would speak to nobody when he was in full tilt. His mother watched him with an anxious expression on her face.

At last he suddenly stopped forcing his horse into the mechanical gallop and slid down.

"Well, I got there!" he announced fiercely, his blue eyes still flaring, and his sturdy long legs straddling apart.

"Where did you get to?" asked his mother.

"Where I wanted to go," he flared back at her.

"That's right, son!" said Uncle Oscar. "Don't you stop till you get there. What's the horse's name?"

"He doesn't have a name," said the boy.

— "The Rocking-Horse Winner," by D. H. Lawrence

"In the desert you can remember your name,
'Cause there ain't no one for to give you no pain."

America

See also June 12, 2005September 11, 2007, and Something Anonymous.

"A New York Jew imitates D. H. Lawrence at his peril."

Thursday, July 21, 2011

The Race

Filed under: General — Tags: — m759 @ 7:14 am
 
IMAGE- From Esther Dyson- Boats on the Charles- 'Race you to the bridge!'

An image related to
the Flesh obituary below—

See "As It Lays" in this journal.

Vegas background for 'Play It As It Lays'

(Not as it lies .)

New York Times 
obituaries today—

 

Click to enlarge.

http://www.log24.com/log/pix11B/110721-NYT-Gayler-240w.jpg

http://www.log24.com/log/pix11B/110721-NYT-Flesh-240w.jpg

     "That's GUY-ler, not GAY-ler."

      See also Time and the River, Number of the Beast, and Story Theory.

Friday, July 15, 2011

Crossing the Bridge

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

King Arthur and the Deathly Hallows

BLACK KNIGHT: None shall pass.

ARTHUR: What?

BLACK KNIGHT: None shall pass.

ARTHUR: I have no quarrel with you, good Sir Knight,
                but I must cross this bridge.

BLACK KNIGHT: Then you shall die.

ARTHUR: I command you as King of the Britons
                to stand aside!

BLACK KNIGHT: I move for no man.

ARTHUR: So be it!

— Monty Python

http://www.log24.com/log/pix11B/110715-Bushell-BlackKnight1954-Sm.jpg

Above: Anthony Bushell as King Arthur in 1954.
Bushell died on April 2, 1997 (4/2/97).
"Well, she was just seventeen…."

http://www.log24.com/log/pix11B/110715-NYlotteryEvening.jpg

Sunday, June 12, 2011

Tony Awards Night

Filed under: General — m759 @ 8:00 pm

Magic Time!

http://www.log24.com/log/pix11A/110612-NYlottery.jpg

           For fans of Douglas Adams and St. Augustine

Update of 2:20 AM June 13:

For the midday "042" as a reference to Adams, see Wikipedia. The "828" may be interpreted as a reference to St. Augustine's feast day, 8/28… or, for the more secularly minded, a reference to the time 8:28 PM (to go with the evening "0845" as a reference to 8:45 PM). For further details, see Times of the Times . The midday "7286" is more difficult. See midnight's Broadway Cinderella.

Thursday, May 5, 2011

On Art and Magic

Filed under: General,Geometry — Tags: , — m759 @ 10:30 pm

Two Blocks Short of a Design:

A sequel to this morning’s post on Douglas Hofstadter

http://www.log24.com/log/pix11A/110505-ThemeAndVariations-Hofstadter.jpg

Photo of Hofstadter by Mike McGrath taken May 13, 2006

Related material — See Lyche’s  “Theme and Variations” in this journal
and Hofstadter’s “Variations on a Theme as the Essence of Imagination
Scientific American  October 1982

A quotation from a 1985 book by Hofstadter—

“… we need to entice people with the beauties of clarity, simplicity, precision,
elegance, balance, symmetry, and so on.

Those artistic qualities… are the things that I have tried to explore and even
to celebrate in Metamagical Themas .  (It is not for nothing that the word
‘magic’ appears inside the title!)”

The artistic qualities Hofstadter lists are best sought in mathematics, not in magic.

An example from Wikipedia —

http://www.log24.com/log/pix11A/110505-BlockDesignTheory.jpg

Mathematics

http://www.log24.com/log/pix11A/110505-WikipediaFanoPlane.jpg

The Fano plane block design

Magic

http://www.log24.com/log/pix11A/110505-DeathlyHallows.jpg

The Deathly Hallows  symbol—
Two blocks short of  a design.

Thursday, March 17, 2011

Time Travel Poem

Filed under: General — Tags: — m759 @ 7:11 pm

From “This Week’s Hype II,” a post at Peter Woit’s physics weblog this afternoon, a comment—

TedUnger says:
March 17, 2011 at 5:34 pm

“… there’s been nothing from these CERN scientists
except some lousy boring data on physics!
They better at least give us some time travel or else!

You know that is what Joe Public is thinking.”

The commenter’s identity is not clear. Even less clear is the identity of his subject, Joe Public.

For some remarks on time travel from literature rather than science, see “Damnation Morning” in this journal.

Erin O’Connor’s St. Patrick’s Day post this morning says,

“[Roddy] Doyle’s take on the Irish struggle for independence,
A Star Called Henry , has a lovely touch of magical realism.”

Note that the remarks by Henry Baker in this morning’s post here  were dated Thursday, 11 September 1913.

Related material—

Yet they were of a different kind
The names that stilled your childish play,
They have gone about the world like wind,
But little time had they to pray
For whom the hangman’s rope was spun,
And what, God help us, could they save:
Romantic Ireland’s dead and gone,
It’s with O’Leary in the grave.

William Butler Yeats, “September 1913

Wednesday, January 5, 2011

Ode

Filed under: General — m759 @ 7:00 pm
From http://www.douban.com/note/63358774/ —

An Ode to the Unity of Time and Space 

Time, ah, time,
how you go off like this!

Physical things, ah, things,
so abundant you are!

The Ruo’s waters are three thousand,
how can they not have the same source?

Time and space are one body,
mind and things sustain each other.

Time, o time,
does not time come again?

Heaven, o heaven,
how many are the appearances of heaven!

From ancient days constantly shiftling on,
black holes flaring up.

Time and space are one body,
is it without end?

Great indeed
is the riddle of the universe.

Beautiful indeed
is the source of truth.

To quantize space and time
the smartest are nothing.

To measure the Great Universe with a long thin tube
the learning is vast.
 
                                 By Shing-Tung Yau

《时空统一颂》
作者:丘成桐
时乎时乎 逝何如此
物乎物乎 繁何如斯
弱水三千 岂非同源
时空一体 心物互存
时兮时兮 时不再欤
天兮天兮 天何多容
亘古恒迁 黑洞冥冥
时空一体 其无尽耶
大哉大哉 宇宙之谜
美哉美哉 真理之源
时空量化 智者无何
管测大块 学也洋洋 

Tuesday, January 4, 2011

Star Quality

Filed under: General — Tags: , — m759 @ 7:00 pm

A search in memory of Gerry Rafferty,
a talented singer-songwriter who died today at 63.

"Here was finality indeed, and cleavage!"
— Malcolm Lowry, Under the Volcano

Monday, December 27, 2010

Church Diamond

Filed under: General,Geometry — Tags: — m759 @ 3:09 pm

IMAGE- The diamond property

Also known, roughly speaking, as confluence  or the Church-Rosser property.

From “NYU Lambda Seminar, Week 2” —

[See also the parent page Seminar in Semantics / Philosophy of Language or:
What Philosophers and Linguists Can Learn From Theoretical Computer Science But Didn’t Know To Ask)
]

A computational system is said to be confluent, or to have the Church-Rosser or diamond property, if, whenever there are multiple possible evaluation paths, those that terminate always terminate in the same value. In such a system, the choice of which sub-expressions to evaluate first will only matter if some of them but not others might lead down a non-terminating path.

The untyped lambda calculus is confluent. So long as a computation terminates, it always terminates in the same way. It doesn’t matter which order the sub-expressions are evaluated in.

A computational system is said to be strongly normalizing if every permitted evaluation path is guaranteed to terminate. The untyped lambda calculus is not strongly normalizing: ω ω doesn’t terminate by any evaluation path; and (\x. y) (ω ω) terminates only by some evaluation paths but not by others.

But the untyped lambda calculus enjoys some compensation for this weakness. It’s Turing complete! It can represent any computation we know how to describe. (That’s the cash value of being Turing complete, not the rigorous definition. There is a rigorous definition. However, we don’t know how to rigorously define “any computation we know how to describe.”) And in fact, it’s been proven that you can’t have both. If a computational system is Turing complete, it cannot be strongly normalizing.

There is no connection, apart from the common reference to an elementary geometric shape, between the use of “diamond” in the above Church-Rosser sense and the use of “diamond” in the mathematics of (Cullinane’s) Diamond Theory.

Any attempt to establish such a connection would, it seems, lead quickly into logically dubious territory.

Nevertheless, in the synchronistic spirit of Carl Jung and Arthur Koestler, here are some links to such a territory —

 Link One — “Insane Symmetry”  (Click image for further details)—

http://www.log24.com/log/pix10B/101227-InsaneSymmetry.jpg

See also the quilt symmetry in this  journal on Christmas Day.

Link Two — Divine Symmetry

(George Steiner on the Name in this journal on Dec. 31 last year (“All about Eve“)) —

“The links are direct between the tautology out of the Burning Bush, that ‘I am’ which accords to language the privilege of phrasing the identity of God, on the one hand, and the presumptions of concordance, of equivalence, of translatability, which, though imperfect, empower our dictionaries, our syntax, our rhetoric, on the other. That ‘I am’ has, as it were, at an overwhelming distance, informed all predication. It has spanned the arc between noun and verb, a leap primary to creation and the exercise of creative consciousness in metaphor. Where that fire in the branches has gone out or has been exposed as an optical illusion, the textuality of the world, the agency of the Logos in logic—be it Mosaic, Heraclitean, or Johannine—becomes ‘a dead letter.'”

George Steiner, Grammars of Creation

(See also, from Hanukkah this year,  A Geometric Merkabah and The Dreidel is Cast.)

Link Three – Spanning the Arc —

Part A — Architect Louis Sullivan on “span” (see also Kindergarten at Stonehenge)

Part B — “Span” in category theory at nLab —

http://www.log24.com/log/pix10B/101227-nLabSpanImage.jpg

Also from nLab — Completing Spans to Diamonds

“It is often interesting whether a given span in some partial ordered set can be completed into a diamond. The property of a collection of spans to consist of spans which are expandable into diamonds is very useful in the theory of rewriting systems and producing normal forms in algebra. There are classical results e.g. Newman’s diamond lemma, Širšov-Bergman’s diamond lemma (Širšov is also sometimes spelled as Shirshov), and Church-Rosser theorem (and the corresponding Church-Rosser confluence property).”

The concepts in this last paragraph may or may not have influenced the diamond theory of Rudolf Kaehr (apparently dating from 2007).

They certainly have nothing to do with the Diamond Theory of Steven H. Cullinane (dating from 1976).

For more on what the above San Francisco art curator is pleased to call “insane symmetry,” see this journal on Christmas Day.

For related philosophical lucubrations (more in the spirit of Kaehr than of Steiner), see the New York Times  “The Stone” essay “Span: A Remembrance,” from December 22—

“To understand ourselves well,” [architect Louis] Sullivan writes, “we must arrive first at a simple basis: then build up from it.”

Around 300 BC, Euclid arrived at this: “A point is that which has no part. A line is breadthless length.”

See also the link from Christmas Day to remarks on Euclid and “architectonic” in Mere Geometry.

Sunday, November 28, 2010

Permanent

Filed under: General — m759 @ 7:35 am

A counterbalance to this morning's New York Times  story (see previous post) on a leftist Columbia University seminar might be C.S. Lewis's famous quote "It's all in Plato."  Unfortunately, a search for discussions of this quote yields, as the top result, a typically shoddy Christian polemic.

From a Christian professor at Seattle Pacific University

"Friedrich Nietzsche (1844-1900) can serve us well as a negative example. Nietzsche's 'new morality' was 'mere innovation,' according to [C.S.] Lewis  [Christian Reflections ]. Nietzsche announced through Zarathustra (and numerous other ways) the relativity of all values and moralities, saying that each people had adhered to a different scheme of values worked out solely in connection with local conditions. 'Nothing is true, everything is permitted,' states Nietzsche, quoting one of Dostoevsky's characters."

No source is given for either the Nietzsche quote or the alleged Dostoevky quote.

This is from a web page titled "In Defense of the Permanent Things." The Christian professor is, according to a far better scholar, permanently wrong. See Note 8 on pages 586-587 of Walter Kaufmann's Basic Writings of Nietzsche  (Random House, November 28, 2000).

One hopes that a more capable scholar, such as Lewis himself* was, might at some point attack the Columbia University leftist nonsense— and Nietzsche— by quoting a more damning passage, such as

" 'Everything is false! Everything is permitted!' "

(from Kaufmann's edition of The Will to Power , Random House, 1968, page 326)

This version of the "Everything is permitted" quote is much more directly related to Nietzsche's relativism, as seen in this image of Kaufmann's edition—

   (Click to enlarge.)

http://www.log24.com/log/pix10B/101128-WillToPower326-327-sm.jpg

* Or Steven Michels of Sacred Heart University in Fairfield, CT.
  See his "Nietzsche, Nihilism, and the Virtue of Nature"— in particular, note 29.
 

Thursday, September 30, 2010

Cleft

Filed under: General — Tags: , — m759 @ 11:02 am

"Here was finality indeed, and cleavage!"
— Malcolm Lowry, Under the Volcano

Related— Rosetta Stone, today's Google Doodle, and Rock of Ages.

See also the New York daily numbers in yesterday's lottery.

Saturday, May 8, 2010

A Better Story —

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

Or, “Get me rewrite!”

Today’s New York Times online–

Rebecca Newberger Goldstein imagines a story about academics discussing literary theory—

“Rumors had reached us of a doctrine called Theory emanating from distant corners of the university. We in the Department of Philosophy understood it immediately as a grand hoax. I will not dwell on my particular amusement, in which I was so tragically at odds with my collaborator, Theo Rhee….

… It was at this moment that Hans Furth appeared and ambled over….”

And thanks to Google Books, here he is—

“…I can imagine the decisive evolutionary beginnings of humans and societies… not in an adult version, but in the playful mentality of children…. An unlikely story? Perhaps. I am looking out for a better story.”

Hans G. Furth, Desire for Society: Children’s Knowledge as Social Imagination, published by Springer, 1996, p. 181

As am I. (See previous post.) One possibility, from 1943— “Mimsy Were the Borogoves.”

Another possibility, from 1953—  not Theo Rhee, but rather “Loo Ree.”

Thursday, February 25, 2010

Through the Blackboard

Filed under: General — Tags: — m759 @ 12:07 pm

Or: "Gopnik Meets Oppenheimer in Heaven"

(Or, for those less philosophically minded, "Raiders of the Lost Pussy")

Midrash on "A Serious Man"
by Steven Menashi at
The American Scene

"A Serious Man kicks off with a Yiddish-language frame story that takes place in a 19th-century Eastern European shtetl, where a married couple has an enigmatic encounter with an old acquaintance who may be a dybbuk," recounts Dana Stevens . "The import of this parable is cryptic to the point of inscrutability."

It seems to me that the Coen Brothers’ dybbuk is the Jewish folkloric equivalent of Schrodinger’s Cat .

When we first meet the main character, a physics professor named Larry Gopnik, he’s writing equations on the board: "So if that’s that, then we can do this, right? Is that right? Isn’t that right? And that’s Schrodinger’s paradox, right? Is the cat dead or is the cat not dead?" Likewise, we can’t know whether Fyvush Finkel [the aforementioned old acquaintance] is alive or a dybbuk. We can only evaluate probabilities. When a Korean student named Clive Park complains to Larry that he shouldn’t have failed the Physics midterm because "I understand the physics. I understand the dead cat," Larry says:

You can’t really understand the physics without understanding the math. The math tells how it really works. That’s the real thing; the stories I give you in class are just illustrative; they’re like, fables, say, to help give you a picture. An imperfect model. I mean— even I don’t understand the dead cat. The math is how it really works.

But the fable actually tells us that the math doesn’t capture reality.

The story in images below summarizes a meditation suggested by this parable and by

  1. Tuesday's post "Fish Story"
     
  2. Today's AP thought:
    "Open-mindedness is not the same as empty-mindedness." –John Dewey
     
  3. "Zen mind, empty mind."
     
  4. Today's NY Times obituary for Selma G. Hirsh,
    author of The Fears Men Live By (Harper, 1955).
    Hirsh died on St. Bridget's Day.
     
  5. A search for the Hirsh book that led to a web page
    with a 1955 review of J. Robert Oppenheimer's book The Open Mind
     
  6. A search for the Oppenheimer book that led to
    LIFE magazine's issue of Oct. 10, 1949
     
  7. "Satori means 'awakening.'" — TIME magazine, Nov. 21, 1960

 

Blackboard in "A Serious Man"–

Physicist accelerated against his blackboard in 'A Serious Man'

 

Blackboard at the Institute for Advanced Study–


J. Robert Oppenheimer at his blackboard

"Daddy's home! Daddy's home!"

(Click to enlarge.)

Oppenheimer homecoming, with ad for 'Pussy-Footer' alarm clock

 

Related material–

A Zen meditation from Robert Pirsig
is suggested by the time on the above
alarm clock– 8:20– interpreted,
surrealistically, as a date — 8/20.

Monday, February 1, 2010

For St. Bridget’s Day

Filed under: General,Geometry — m759 @ 12:25 pm

"But wait, there's more!"
Stanley Fish, NY Times Jan. 28

From the editors at The New York Times who, left to their own devices, would produce yet another generation of leftist morons who don't know the difference between education and entertainment–

A new Times column starts today–

http://www.log24.com/log/pix10/100201-Strogatz.jpg

The quality of the column's logo speaks for itself. It pictures a cone with dashed lines indicating height and base radius, but unlabeled except for a large italic x to the right of the cone. This enigmatic variable may indicate the cone's height or slant height– or, possibly, its surface area or volume.

Instead of the column's opening load of crap about numbers and Sesame Street, a discussion of its logo might be helpful.

The cone plays a major role in the historical development of mathematics.

Some background from an online edition of Euclid

"Euclid proved in proposition XII.10 that the cone with the same base and height as a cylinder was one third of the cylinder, but he could not find the ratio of a sphere to the circumscribed cylinder. In the century after Euclid, Archimedes solved this problem as well as the much more difficult problem of the surface area of a sphere."

For Archimedes and the surface area of a sphere, see (for instance) a discussion by Kevin Brown. For more material on Archimedes, see "Archimedes: Volume of a Sphere," by Doug Faires (2001)– Archimedes' heuristic argument from mechanics that involves the volume of a cone– and Archimedes' more rigorous approach in The Works of Archimedes, edited by T. L. Heath (1897).

The work of Euclid and Archimedes on volumes was, of course, long before the discovery of calculus.  For a helpful discussion of cone volumes involving high-school-level calculus, see, for instance,  the following–

http://www.log24.com/log/pix10/100201-VolCalc.gif

The Times editors apparently feel that
few of their readers are capable of
such high-school-level sophistication.

For some other geometric illustrations
perhaps more appealing than the Times's

http://www.log24.com/log/pix10/100201-StrogatzLogo.png

dunce cap, see the symbol of
  today's saint– a Bridget Cross
and a web page on
visualized quaternions.

Thursday, January 28, 2010

Short Story

Filed under: General — m759 @ 2:01 pm

Home Delivery

"But wait, there's more!"
Stanley Fish, NY Times today

NY Times 1:43 PM Jan. 28, 2010-- J. D. Salinger has died.

For a larger image, click on The Catcher.

"Anyway, I keep picturing all these little kids playing some game in this big field of rye and all.  Thousands of little kids, and nobody's around– nobody big, I mean– except me.  And I'm standing on the edge of some crazy cliff.  What I have to do, I have to catch everybody if they start to go over the cliff– I mean if they're running and they don't look where they're going I have to come out from somewhere and catch them.  That's all I'd do all day.  I'd just be the catcher in the rye and all.  I know it's crazy, but that's the only thing I'd really like to be."

— J.D. Salinger, The Catcher in the Rye, Chapter 22

Wednesday, January 13, 2010

Annals of Literature

Filed under: General — m759 @ 11:32 am

Death and the Apple Tree
continued from January 4

"One evening I went into the back drawing-room in which the priest had died. It was a dark rainy evening and there was no sound in the house. Through one of the broken panes I heard the rain impinge upon the earth, the fine incessant needles of water playing in the sodden beds. Some distant lamp or lighted window gleamed below me. I was thankful that I could see so little. All my senses seemed to desire to veil themselves and, feeling that I was about to slip from them, I pressed the palms of my hands together until they trembled, murmuring: 'O love! O love!' many times.

At last she spoke to me. When she addressed the first words to me I was so confused that I did not know what to answer. She asked me was I going to Araby. I forgot whether I answered yes or no. It would be a splendid bazaar; she said she would love to go.

'And why can't you?' I asked.

While she spoke she turned a silver bracelet round and round her wrist. She could not go, she said, because there would be a retreat that week in her convent. Her brother and two other boys were fighting for their caps, and I was alone at the railings. She held one of the spikes, bowing her head towards me. The light from the lamp opposite our door caught the white curve of her neck, lit up her hair that rested there and, falling, lit up the hand upon the railing. It fell over one side of her dress and caught the white border of a petticoat, just visible as she stood at ease.

'It's well for you,' she said.

'If I go,' I said, 'I will bring you something.'"

— "Araby," by James Joyce.
 Joyce died on this date in 1941.

Tuesday, January 12, 2010

That’s Showbiz

Filed under: General — m759 @ 2:00 pm

New York Times, January 12, 2010, 12:26 PM–

"Spider-Man" Musical Will Refund Tickets

"With… direction by Julie Taymor ['Frida'], 'Spider-Man' has been marred by delays….

The musical’s troubles have unfolded at the same time that the next “Spider-Man” movie has been descending into disarray…."

Related material:

"No Great Magic," by Fritz Leiber–

"The white cosmetic came away, showing sallow skin and on it a faint tattoo in the form of an 'S' styled like a yin-yang symbol left a little open.

'Snake!' he hissed. 'Destroyer! The arch-enemy, the eternal opponent!'"

Ay que bonito es volar  
    A las dos de la mañana
….”
— “La Bruja

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