Log24

Sunday, November 11, 2018

Tombstone

Filed under: General — m759 @ 3:33 AM

Search for 'Catch-22' + 'Also sprach'

See also this journal on the above Catch-22 date — July 16, 2014 —
and a search in this journal for "Halmos + Tombstone."

Thursday, July 16, 2015

Tombstone

Filed under: General — Tags: , — m759 @ 1:44 PM

The black rectangle at the end of Example 1.4
is known as the "end-of-proof symbol," "Halmos,"
or "tombstone."

Thursday, July 14, 2011

Tombstones

Filed under: General — m759 @ 7:00 AM

Part I: Literal

"Shinin' like a diamond,
 she had tombstones in her eyes."

http://www.log24.com/log/pix11B/110714-ProctorTombstone.jpg

Part II: Figurative

See Halmos Tombstone in this journal.

http://www.log24.com/log/pix06A/061004-Halmos100x225.jpg

Monday, March 12, 2018

“Quantum Tesseract Theorem?”

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

Remarks related to a recent film and a not-so-recent film.

For some historical background, see Dirac and Geometry in this journal.

Also (as Thas mentions) after Saniga and Planat —

The Saniga-Planat paper was submitted on December 21, 2006.

Excerpts from this  journal on that date —

A Halmos tombstone and the tale of HAL and the pod bay doors

     "Open the pod bay doors, HAL."

Monday, July 18, 2011

Voldemort

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

Continuing yesterday's lottery meditation

The NY evening numbers yesterday were 244 and 2962.

The latter suggests Post  2962

IMAGE- A post on the meaning of 'Voldemort'

There is no Post  244 here, but a search within this journal for 244 yields

http://www.log24.com/log/pix11B/110718-Eggleston244.gif

    See also Halmos Tombstone and Death Proof.

Monday, September 8, 2008

Monday September 8, 2008

Filed under: General — m759 @ 2:25 PM
Annals of Propaganda: Cabaret and Goebbels, Arthur Szyk and German Authority
Related material:

Tuesday, July 31, 2007

Aesthetics for Jesuits

Joke

The Guardian, July 26,
on a work by the
late playwright
 George Tabori:

“… inspired satire, laced with Jewish and Christian polemics, sparkling wit and dazzlingly simple effects. For Golgotha a stagehand brings on three crosses. ‘Just two,’ says Jay. ‘The boy is bringing his own.’ Tabori often claimed that the joke was the most perfect literary form.”

Update at noon,
Sept. 9, 2008:

Tabori, a Jew from Hungary
and former screenwriter
(“No Exit“), died at 93
on July 23, 2007.

Black monolith, 4x9

For related material on
another Jew from Hungary
click on the black monolith
(also known as
the Halmos tombstone).

Tuesday, October 10, 2006

Tuesday October 10, 2006

Filed under: General — Tags: , — m759 @ 8:00 PM
Mate in
Two Seconds

From Oct. 14 last year:

The image “http://www.log24.com/log/pix05B/051014-Tick.gif” cannot be displayed, because it contains errors.

From Oct. 13 last year
(Yom Kippur):

A Poem for Pinter
Oct. 13, 2005

The Guardian on Harold Pinter, winner of this year's Nobel Prize for Literature:

"Earlier this year, he announced his decision to retire from playwriting in favour of poetry,"

Michael Muskal in today's Los Angeles Times:

"Pinter, 75, is known for his sparse and thin style as well as his etched characters whose crystal patter cuts through the mood like diamond drill bits."

Robert Stone, A Flag for Sunrise (See Jan. 25):

"'That old Jew gave me this here.'  Egan looked at the diamond….  'It's worth a whole lot of money– you can tell that just by looking– but it means something, I think.  It's got a meaning, like.'

'Let's see,' Egan said, 'what would it mean?'  He took hold of Pablo's hand cupping the stone and held his own hand under it.  '"The jewel is in the lotus," perhaps that's what it means.  The eternal in the temporal….'"

Notes on Modal Logic:

"Modal logic was originally developed to investigate logic under the modes of necessary and possible truth.  The words 'necessary' and 'possible' are called modal connectives, or modalities.  A modality is a word that when applied to a statement indicates when, where, how, or under what circumstances the statement may be true.  In terms of notation, it is common to use a box [] for the modality 'necessary' and a diamond <> for the modality 'possible.'"

A Poem for Pinter

The image “http://www.log24.com/log/pix05B/051013-Waka.gif” cannot be displayed, because it contains errors.

Commentary:

"Waka" also means Japanese poem or Maori canoe.  (For instance, this Japanese poem and this Maori canoe.)

For a meditation on "bang splat," see Sept. 25-29.

For the meaning of "tick tick," see Emily Dickinson on "degreeless noon."

"Hash," of course, signifies "checkmate."  (See previous three entries.)

For language more suited to
the year's most holy day, see
this year's Yom Kippur entry,
from October 2.

That was also the day of the
Amish school killings in
Pennsylvania and the day that
mathematician Paul Halmos died.

For more on the former, see
Death in Two Seconds.

For more on the latter, see
The Halmos Tombstone.

4x9 black monolith

Thursday, October 5, 2006

Thursday October 5, 2006

Filed under: General,Geometry — m759 @ 9:11 AM
In Touch with God

(Title of an interview with
the late Paul Halmos, mathematician)

Since Halmos died on Yom Kippur, his thoughts on God may be of interest to some.

From a 1990 interview:

“What’s the best part of being a mathematician? I’m not a religious man, but it’s almost like being in touch with God when you’re thinking about mathematics. God is keeping secrets from us, and it’s fun to try to learn some of the secrets.”

I personally prefer Annie Dillard on God:

“… if Holy the Firm is matter at its dullest, Aristotle’s materia prima, absolute zero, and since Holy the Firm is in touch with the Absolute at base, then the circle is unbroken.  And it is…. Holy the Firm is in short the philosopher’s stone.”

Some other versions of
the philosopher’s stone:

The image �http://www.log24.com/log/pix06/060101-SixOfOne.jpg� cannot be displayed, because it contains errors.

And, more simply,
April 28, 2004:

This last has the virtue of
being connected with Halmos
via his remarks during the
“In Touch with God” interview:

“…at the root of all deep mathematics there is a combinatorial insight… the really original, really deep insights are always combinatorial….”
 
“Combinatorics, the finite case, is where the genuine, deep insight is.”

See also the remark of Halmos that serves as an epigraph to Theme and Variations.

Finally, it should be noted that
the 4×9 black rectangle

The image “http://www.log24.com/log/pix06A/061004-Halmos100x225.jpg” cannot be displayed, because it contains errors.

has also served
at least one interpreter
as a philosopher’s stone,
and is also the original
Halmos tombstone.”

(See previous entry.)

Wednesday, October 4, 2006

Wednesday October 4, 2006

Filed under: General — m759 @ 6:15 AM
Paul R. Halmos died
on Yom Kippur, 2006

“Prof. Paul Halmos died of pneumonia early in the morning of October 2, 2006. He was 90 years old. He is survived by his wife, Virginia Halmos. An obituary may be found at the website of the Mathematical Association of America….”

Halmos’s home page
at Santa Clara University

For a memorial of sorts, see
Lovely, Dark and Deep

Update of 8 PM Oct. 4 —

From Google Book Search:
 
The image “http://www.log24.com/log/pix06A/061004-Halmos.jpg” cannot be displayed, because it contains errors.

This is the source of the
Halmos tombstone” symbol,
which has been described in a
different form at Wikipedia:

“The tombstone, or halmos
symbol ∎ (Unicode U+220E)–
is used in mathematics to denote
the end of a proof.” 

This Unicode character is rendered
as an empty square in Explorer
and as a black square in Firefox.

Related material:

The Unity of Mathematics
and
Monolith

Wednesday, May 17, 2006

Wednesday May 17, 2006

Filed under: General — Tags: — m759 @ 4:29 AM

Tombstone

From today's New York Times:

Obituary

"Jiri Frel, a mercurial and eccentric curator who helped build the J. Paul Getty Museum into a major center for Greek and Roman art but resigned after revelations about unscrupulous acquisition practices, died on April 29. He was 82…. a well-regarded expert in Greek tombstones…."

News story

"ATHENS, May 16 — After four hours of talks here with the Greek culture minister, the director of the J. Paul Getty Museum in Los Angeles said Tuesday that he would press for the return of some of the Getty's most prized ancient artifacts to Greece…. Greece is seeking the repatriation of a… tombstone…."

From a photo accompanying the obituary:

The image “http://www.log24.com/log/pix06A/060517-Window.jpg” cannot be displayed, because it contains errors.
Museum
window

 

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

To Aster, from Plato

Asteras eisathreis, Aster emos.
Eithe genoimen ouranos,
'os pollois ommasin eis se blepo.

You gaze at stars, my Star.
Would that I were born the starry sky,
that I with many eyes might gaze at you.

Related material:

Log24 entries of Dec. 31, 2002

Why Me?

Plato's Diamond

The Halmos Tombstone

Sunday, October 26, 2003

Sunday October 26, 2003

Filed under: General — m759 @ 3:17 AM

ART WARS for

Trotsky’s Birthday

Part I:
Symbols

From my entry of July 26, 2003, in memory
of Marathon Man director John Schlesinger:

Bright Star and Dark Lady

“Mexico is a solar country — but it is also a black country, a dark country. This duality of Mexico has preoccupied me since I was a child.”

Octavio Paz,
quoted by Homero Aridjis

Bright Star

Amen.

Dark Lady

For the meaning of the above symbols, see
Kubrick’s 1x4x9 monolith in 2001,
the Halmos tombstone in Measure Theory,
and the Fritz Leiber Changewar stories.

No se puede vivir sin amar.


Part II:
Sunday in the Park with Death

  To Leon from Diego —
Details of a mural,
A Dream of a Sunday Afternoon
in Alameda Park,
Fresco, 1947-48,
Alameda Hotel, Mexico City:

Three’s a Crowd:

Symbol:


Saturday, July 26, 2003

Saturday July 26, 2003

Filed under: General — m759 @ 5:29 AM

Funeral March

John Schlesinger dead at 77;
‘Midnight Cowboy’ director

 
Anthony Breznican
Associated Press
Jul. 26, 2003 12:00 AM

LOS ANGELES – Oscar-winning director John Schlesinger, who daringly brought gay characters into mainstream cinema with Midnight Cowboy and tapped into nightmares with the teeth-drilling torture of Marathon Man, died Friday at 77.

The British-born filmmaker…. died about 5:30 a.m….

Schlesinger also directed The Day of the Locust, based on a novel by Nathanael West.

See Heaven, Hell, and Hollywood and

Dogma Part II: Amores Perros.

From the latter:

“Then you know your body’s sent,
Don’t care if you don’t pay rent,
Sky is high and so am I,
If you’re a viper — a vi-paah.”

The Day of the Locust,
    by Nathanael West (1939),
    New Directions paperback,
    1969, page 162

This song may be downloaded at

Pot Culture, 1910-1960.

That same site begins with a traditional Mexican song…

La cucaracha, la cucaracha,
 ya no puede caminar,
 porque no quiere,
 porque le falta
 marihuana que fumar.
” 

(“The cockroach, the cockroach,
 can’t walk anymore,
 because he doesn’t want to,
 because he has no
 marihuana to smoke.”)

This suggests an appropriate funeral march for John Schlesinger:

“Ya murió la cucaracha, ya la llevan a enterrar…”La Cucaracha

Those attending Schlesinger’s wake, as opposed to his funeral, may wish to perform other numbers from the Pot Culture page, which offers a variety of “viper” songs.

Bright Star and Dark Lady

“Mexico is a solar country — but it is also a black country, a dark country. This duality of Mexico has preoccupied me since I was a child.”

Octavio Paz,
quoted by Homero Aridjis

Bright Star

Amen.

 

Dark Lady

For the meaning of the above symbols, see
Kubrick’s 1x4x9 monolith in 2001,
the Halmos tombstone in Measure Theory,
and the Fritz Leiber Changewar stories.

No se puede vivir sin amar.

Concluding Unscientific Postscript:

Oh, yes… the question of
Heaven or Hell for John Schlesinger… 

Recall that he also directed the delightful
Cold Comfort Farm and see
last year’s entry for this date.

Monday, November 12, 2018

Half Crazy

Filed under: General — m759 @ 10:42 PM

Douglas Rain, the voice of HAL in Kubrick's 2001 , reportedly
died at 90 on Sunday, Nov. 11, 2018. A piece from the Sunday,
April 1, 2018, print  edition of The New York Times  recalls that . . .

When HAL says, “I know I’ve made some very poor decisions recently, but I can give you my complete assurance that my work will be back to normal,” Mr. Rain somehow manages to sound both sincere and not reassuring. And his delivery of the line “I think you know what the problem is just as well as I do” has the sarcastic drip of a drawing-room melodrama and also carries the disinterested vibe of a polite sociopath.

Kubrick had Mr. Rain sing the 1892 love song “Daisy Bell” (“I’m half crazy, all for the love of you”) almost 50 times, in uneven tempos, in monotone, at different pitches and even just by humming it. In the end, he used the very first take. Sung as HAL’s brain is being disconnected, it’s from his early programming days, his computer childhood. It brings to an end the most affecting scene in the entire film.

— Gerry Flahive in the online New York Times 
 

"A version of this article appears in print on , on Page AR13 of the New York edition with the headline: HAL 9000 Wasn’t Always So Eerily Calm."

This  journal on the above online date, March 30, 2018 —

"Program or be programmed."
— A saying by Douglas Rushkoff

See as well the following link from this journal
on Armistice Day, the reported date of Mr. Rain's death —

"Halmos + Tombstone."

Thursday, March 7, 2013

Proof Symbol

Filed under: General,Geometry — m759 @ 8:28 PM

Today's previous post recalled a post
from ten years before yesterday's  date.

The subject of that post was the
Galois tesseract.

Here is a post from ten years before
today's  date

The subject of that  post is the Halmos
tombstone:

"The symbol    is used throughout the entire book
in place of such phrases as 'Q.E.D.' or 'This
completes the proof of the theorem' to signal
the end of a proof."

Measure Theory  (1950)

For exact proportions, click on the tombstone.

For some classic mathematics related
to the proportions, see September 2003.

Tuesday, October 6, 2009

Tuesday October 6, 2009

Filed under: General — m759 @ 11:07 AM
A Halmos
for Gelfand:

Black monolith

See also
The Unity
 of Mathematics
.

Sunday, October 22, 2006

Sunday October 22, 2006

Filed under: General — m759 @ 9:00 AM
Ad
 
The image “http://www.log24.com/log/pix05A/050619-AdReinhardt.gif” cannot be displayed, because it contains errors.
Ad Reinhardt

 

Ad for "The Prestige":

"Every great magic trick consists of three acts. The first act is called 'The Pledge.' The magician shows you something ordinary, but of course… it probably isn't. The second act is called 'The Turn.' The magician makes his ordinary 'some thing' do something extraordinary. Now if you're looking for the secret… you won't find it.   That's why there's a third act, called 'The Prestige.' This is the part with the twists and turns, where lives hang in the balance, and you see something shocking you've never seen before."
 

The Associated Press
Thought for Today,
Oct. 22, 2006:

"You can fool
too many of the people
too much of the time."

— James Thurber,
American humorist
(1894-1961)

 
The image “http://www.log24.com/log/pix06A/061020-Halmos.gif” cannot be displayed, because it contains errors.

For more detail,

click on the above
tombstone.

Friday, October 20, 2006

Friday October 20, 2006

Filed under: General — m759 @ 2:00 AM
Halmos
 
For one definition, see
Tombstone (typography)
at Wikipedia.
 
  A halmos, according to
the Wikipedia definition:

The image “http://www.log24.com/log/pix06A/061020-Halmos.gif” cannot be displayed, because it contains errors.

Click on the halmos
for further details from
today’s New York Times.

Sunday, March 9, 2003

Sunday March 9, 2003

Filed under: General,Geometry — m759 @ 4:01 PM

Symbols

Broadway:
The Sound of Silence

Hello darkness, my old friend. I’ve come to talk with you again.

(See previous entry, Mar. 7, “Lovely, Dark and Deep.) 

And the people bowed and prayed to the neon god they made.

(See CNN.com   Broadway City Arcade club story of Mar. 9)

The words of the prophets are written on the subway walls.

(See picture in NY Times Book Review, Mar. 9, page 31.)

See also the footnote on the Halmostombstonesymbol in the previous entry, the entry “Dustin in Wonderland” of Feb. 24, the film “Marathon Man,” and the entry “Geometry for Jews” of March 6.

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