From the post "For Guy Noir" of Wednesday morning, January 24 —
"as privileged viewers of the shadows and reflections"
Related material —
The death on January 24 of a famed ski film maker,
and the Sun Valley icon below (one of a pair of ski
location icons by Wink, a Minneapolis design firm).
See earlier posts now also tagged O.C.D. .
Related material —
Acme Book Shop and The Philosophy Section .
"By an archetype I mean a systematic repertoire
of ideas by means of which a given thinker describes,
by analogical extension , some domain to which
those ideas do not immediately and literally apply."
— Max Black in Models and Metaphors
(Cornell, 1962, p. 241)
"Others … spoke of 'ultimate frames of reference' …."
— Ibid.
A "frame of reference" for the concept four quartets —
A less reputable analogical extension of the same
frame of reference —
Madeleine L'Engle in A Swiftly Tilting Planet :
"… deep in concentration, bent over the model
they were building of a tesseract:
the square squared, and squared again…."
See also the phrase Galois tesseract .
From a Log24 post of March 4, 2008 —
|
SINGER, ISAAC:
"Sets forth his own aims in writing for children and laments
— An Annotated Listing of Criticism
"She returned the smile, then looked across the room to
— A Swiftly Tilting Planet,
For "the dimension of time," see A Fold in Time, Time Fold,
A Swiftly Tilting Planet is a fantasy for children |
Ibid. —
The pen's point:
John Trever, Albuquerque Journal, 2/29/08
Note the figure on the cover of National Review above —
A related figure from Pentagram Design —
See, more generally, Isaac Singer in this journal.
From a search for Limerick in this journal —
"C A V E S is an exhibition of three large scale works,
each designed to immerse the viewer, and then to
confront the audience with a question regarding how far
they, as privileged viewers of the shadows and reflections
being played out upon the walls, are willing to allow
themselves to believe what they know to be a false reality."
For the original Davos icon by Wink-Minneapolis,
see the previous post.
For related geometry, see posts tagged Barth Art.
A death on the date of the above symmetry chat,
Wednesday, August 17, 2016 —
An Hispanic Hollywood moment:
Ojo de Dios —
Click for related material.
For further Hispanic entertainment,
see Ben Affleck sing
"Aquellos Ojos Verdes "
in "Hollywoodland."
"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 .
Image in a Log24 post
of March 12, 2009.
In her new spiritual memoir . . . .
Armies of the Night —
Armies of the Day —
Cole Porter —
Night and Day —
In the following passage, Dan Brown claims that an eight-ray star
with arrowheads at the rays’ ends is “the mathematical symbol for
entropy.” Brown may have first encountered this symbol at a
questionable “Sacred Science” website. Wikipedia discusses
some even less respectable uses of the symbol.
Related news —
Related symbolism —
A star figure and the Galois quaternion.
The square root of the former is the latter.
Jodie Foster in a Dec. 15, 2017, sketch with Stephen Colbert —
"People invest in and take ownership of brands,
and they wonder why the brand didn’t
ask their permission to change."
— Michael Bierut of Pentagram Design
in a Design Week article of Jan. 17, 2018
The online New York Times reports this afternoon
the death of a production designer on January 9th —
"In addition to the two Oscars Mr. Marsh won
(which he shared with others), he was nominated
for two more: for 'Scrooge' (1970), with Albert Finney and
Alex [sic ] Guinness, and 'Mary, Queen of Scots' (1971),
with Vanessa Redgrave and Glenda Jackson."
"… The Little Broomstick by Mary Stewart,
illustrated by Shirley Hughes, published Brockhampton 1971.
The story is about Mary, staying at Great-Aunt Charlotte's house,
bored until she meets the black cat Tib and finds the purple flower
fly-by-night that makes the little broomstick fly. In chapter 10
'gay go up and gay go down' Mary hides in Endor College,
the witch school, after hours and finds Tib transformed into a frog
(Madame Mumblechook had taken him from her as her entry fee).
She recites the Master Spell to release him. ' It was a simple,
gay little rhyme, and it ended on a phrase that might have been
(but wasn't) "the dancing ring of days".' "
"Bah, humbug!" — A Christmas Carol
Continued from Zen and Language Games
(a post of May 2, 2003, written on March 1, 2002)
From The Harvard Crimson on St. Andrew's Day 2017 —
See also a larger, clearer view of the titles in the above file photo.
Dialogue suggested by the above Harvard Crimson line
"I am a book today . . . . I know it all." —
A problem child* of sorts in the 2017 film "Gifted" —
Mary- "Maybe this school isn't as great as you think it is." Mary is returned to the place of her examination. Professor- "Mary, you knew that the problem was incorrect, why didn't you say anything?" Mary- "Frank says I'm not supposed to correct older people. Nobody likes a smart-ass."
* "Problem Child" was a working title related to a novel
Heinlein wrote in 1941, Beyond This Horizon —
See Eightfold Froebel.
(Continued from September 12, 2005)
The previous post contrasted the number-triple 11-7-8 below
with number triples 12-9-5 and 12-5-9.
A perhaps more logical counterpart of the triple 11-7-8, based
on opposite locations of star-points or cube-edges, is
the triple 9-12-5. For a theological interpretation, see 9/12/05.
Lines from characters played in the film by Tom Hanks and Halle Berry —
— Cloud Atlas , by David Mitchell (2004).
An orison of sorts from a post on Martin Scorsese's
birthday, Sunday, Nov. 18, 2007 —
Displayed on the BlackBerry are parts
of Log24 posts from October 25, 2007,
and October 24, 2007.
Related pattern geometry
From a Log24 search for Angleton + Brotherhood:
A photo of Angleton in a post from 12/9/5 —
From a post of 11/7/8 —
A cryptic note for Dan Brown:
The above dates 11/7/8 and 12/9/5 correspond to the corner-labels
(read clockwise and counter-clockwise) of the two large triangles
in the Finkelstein Talisman —
Above: More symbology for Tom Hanks from
this morning's post The Pentagram Papers.
The above symbology is perhaps better suited to Hanks in his
role as Forrest Gump than in his current role as Ben Bradlee.
For Hanks as Dan Brown's Harvard symbologist
Robert Langdon, see the interpretation 12/5/9, rather
than 12/9/5, of the above triangle/cube-corner label.
"There was a game we used to play . . . ."
— The Cranberries on "Charmed,"
Season 2, Episode 5 (aired Nov. 4, 1999)
Related material in this journal —
The final link in a post of 8:07 AM ET on Friday, June 27, 2008,
pointed to http://www.gateofheavenparish.com. That 2008 link
now leads to a more recent, quite different, webpage.
The page that the link led to in 2008 is now archived at
https://web.archive.org/web/20080509125920/
http://www.gateofheavenparish.com/.
Ken Yuszkus, Salem News staff photo
SALEM — The former MIT professor from Hamilton
accused of trying to swindle his son’s widow and children
out of nearly $5 million pleaded not guilty to the charges
on Friday in Salem Superior Court.
John Donovan Sr., 75, was clutching a set of rosary beads
as he entered his plea before Judge Timothy Feeley.
Donovan was indicted last month by an Essex County grand jury
on 13 counts, including larceny, forgery and witness intimidation.
. . . .
— Julie Manganis, Salem News staff writer, Jan. 13, 2018
See also other posts tagged Systems Programming.
From an obituary in this morning's online New York Times —
"John Tunney seemed to have a charmed political life until 1976,
when at age 42 he lost his Senate seat after just one term
to the unlikeliest of Republican challengers, a former Democrat
named Samuel I. Hayakawa."
Topology punchline —
"Sorry, but A is closed."
For more tasteless mathematical humor, see . . .
From The New York Times online last October —
"A version of this article appears in print on October 6, 2017,
on Page A1 of the New York edition with the headline:
Genre-Spanning Author of ‘The Remains of the Day’
Wins Nobel."
From The San Diego Union-Tribune on that October 6th —
"UC San Diego is mourning the loss of mathematician Jeff Remmel,
who died unexpectedly on Sept. 29th."
From Log24 on that Sept. 29th —
Principles Before Personalities:
Some Remarks for Science Addicts.
From the Hannah Goldfield link in today's 7 AM ET
post "In the Bag" —
"… the bride . . . . is a daughter of Gaylord Bourne and
Carl Goldfield of New Haven."
— Wedding story, New York Times , Oct. 18, 2015
A search indicates that Bourne may be the person of that name
associated with Achievement First charter schools.
Here is a related story from today's online New York Times —
"Can a ‘No Excuses’ Charter Teach Students
to Think for Themselves?" (11:40 AM ET)
In memory of a resident of the Upper West Side
who reportedly died on Twelfth Night 2018 —
“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”
— David Vessey, Department of Philosophy,
Grand Valley State University,
Gadamer and the Fusion of Horizons,
International Journal of Philosophical Studies,
17/4 (2009), 531-42.
See as well Hannah Goldfield as Pennywise the Dancing Clown
in this morning's online New York Times —
<meta property="og:description" content="Life doesn’t present us
with many opportunities to put to use the facts that we know
for no other reason than that we know them." />
<meta property="article:published" itemprop="datePublished"
content="2018-01-11T05:00:26-05:00" />
In a new film, "The Commuter," Liam Neeson fights
a conspiracy …
"so vast and preposterous that it becomes
nothing more than a grab-bag of plot twists."
— A. O. Scott in The New York Times , 5 AM Jan. 11
Update of 6:29 AM —
Updates of 9:40 PM ET Jan. 10
to 5:45 AM ET the next day:
See a letter from the AMS on their new logo.
Recent revision (pre-2018) of the former AMS logo
The Society's letter describes perceptions of the pre-2018 logo —
"… market research on our current logo revealed that
the connection between a Greek temple and
a mathematical society has become increasingly tenuous
among non-members and younger mathematicians, who
associate the Greek temple with a financial institution."
The omission of the alleged motto of Plato's Academy,
AGEOMETRETOS ME EISITO, in the recent (pre-2018)
revision of the logo was part of the Society's ongoing
process of politically correct dumbing-down. That omission
may have influenced the perception of the logo as picturing
a Greek temple rather than the Academy.
Some related remarks from 2005 —
Background for the remarks of Koen Thas in the previous post —
Schumacher and Westmoreland, "Modal Quantum Theory" (2010).
Related material —
" There is a pleasantly discursive treatment
of Pontius Pilate’s unanswered question
‘What is truth?’ "
— Coxeter, 1987, introduction to Trudeau’s
The Non-Euclidean Revolution
The whole truth may require an unpleasantly discursive treatment.
Example —
1. The reported death on Friday, Jan. 5, 2018, of a dancer
closely associated with George Balanchine
2. This journal on Friday, Jan. 5, 2018:
3. Illustration from a search related to the above dancer:
4. "Per Mare Per Terras" — Clan slogan above, illustrated with
what looks like a cross-dagger.
"Unsheathe your dagger definitions." — James Joyce.
5. Discursive remarks on quantum theory by the above
Schumacher and Westmoreland:
6. "How much story do you want?" — George Balanchine
This post supplies some background for earlier posts tagged
Quantum Tesseract Theorem.
The Quantum Tesseract Theorem —
Raiders —
A Wrinkle in Time
starring Storm Reid,
Reese Witherspoon,
Oprah Winfrey &
Mindy Kaling
Time Magazine December 25, 2017 – January 1, 2018
The previous post suggests a look at a baggage tale
from this evening's New York Times —
"Domestic airlines hoped to reunite all bags at the airport
with their owners by the end of Monday."
Yana Paskova for The New York Times
Tom Wolfe in The Painted Word (1975):
“It is important to repeat that Greenberg and Rosenberg
did not create their theories in a vacuum or simply turn up
with them one day like tablets brought down from atop
Green Mountain or Red Mountain (as B. H. Friedman once
called the two men). As tout le monde understood, they
were not only theories but … hot news,
straight from the studios, from the scene.”
Harold Rosenberg in The New Yorker (click to enlarge)—
See also Interality and the Eightfold Cube .
The Yale of the title is not the university, but rather the
mathematician Paul B. Yale. Yale's illustration of the Fano
plane is below.
A different illustration from a mathematician named Greenberg —
This illustration of the ominous phrase "line at infinity"
may serve as a sort of Deathly Hallows for Greenberg.
According to the AMS website yesterday, he died on
December 12, 2017:
A search of this journal for Greenberg yields no mention of
the dead mathematician, but does yield some remarks
on art that are pehaps less bleak than the above illustration.
For instance —
Art adapted from the Google search screen. Discuss.
Wikipedia — "Tamagawa's doctoral students included
Doris Schattschneider and Audrey Terras."
See also Schattschneider and Terras in this journal.
Subway art related to an event of January 3, 2018 —
Monday, November 7, 2016
|
From "The Principle of Sufficient Reason," by George David Birkhoff,
in "Three Public Lectures on Scientific Subjects,"
delivered at the Rice Institute, March 6, 7, and 8, 1940 —
From the same lecture —
|
Up to the present point my aim has been to consider a variety of applications of the Principle of Sufficient Reason, without attempting any precise formulation of the Principle itself. With these applications in mind I will venture to formulate the Principle and a related Heuristic Conjecture in quasi-mathematical form as follows: PRINCIPLE OF SUFFICIENT REASON. If there appears in any theory T a set of ambiguously determined ( i e . symmetrically entering) variables, then these variables can themselves be determined only to the extent allowed by the corresponding group G. Consequently any problem concerning these variables which has a uniquely determined solution, must itself be formulated so as to be unchanged by the operations of the group G ( i e . must involve the variables symmetrically). HEURISTIC CONJECTURE. The final form of any scientific theory T is: (1) based on a few simple postulates; and (2) contains an extensive ambiguity, associated symmetry, and underlying group G, in such wise that, if the language and laws of the theory of groups be taken for granted, the whole theory T appears as nearly self-evident in virtue of the above Principle. The Principle of Sufficient Reason and the Heuristic Conjecture, as just formulated, have the advantage of not involving excessively subjective ideas, while at the same time retaining the essential kernel of the matter. In my opinion it is essentially this principle and this conjecture which are destined always to operate as the basic criteria for the scientist in extending our knowledge and understanding of the world. It is also my belief that, in so far as there is anything definite in the realm of Metaphysics, it will consist in further applications of the same general type. This general conclusion may be given the following suggestive symbolic form:
While the skillful metaphysical use of the Principle must always be regarded as of dubious logical status, nevertheless I believe it will remain the most important weapon of the philosopher. |
Related remarks by a founding member of the Metaphysical Club:
See also the previous post, "Seven Types of Interality."
* See the term interality in this journal.
For many synonyms, see
“The Human Seriousness of Interality,”
by Peter Zhang, Grand Valley State University,
China Media Research 11(2), 2015, 93-103.
" . . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."
— T. S. Eliot, Four Quartets
"The Grand Valley spirit never dies."
— Adapted from the Tao Te Ching
“I need a photo opportunity, I want a shot at redemption.
Don’t want to end up a cartoon in a cartoon graveyard.”
— Paul Simon
“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”
— David Vessey,
Gadamer and the Fusion of Horizons
(Quoted here on Saturday, June 4, 2005.)
This post was suggested by the reported Monday, Jan. 1, 2018,
death of the Juilliard String Quartet founding violinist and by the
reported Thursday, Feb. 25, 2016 death of his brother, a
biotech entrepreneur.
Details from Feb. 25-26, 2016 —
Related material from this evening's New York Times —
The archaeologist above reportedly died on Friday, Dec. 29, 2016.
See too a Log24 post from that date, On Becket's Day.
The above images were suggested in part by the birthdays
on Sept. 21, 2011, of Bill Murray and Stephen King.
More seriously, also in this journal on that date, from a post
titled Symmetric Generation —
The first 12 pages of my 1976 preprint "Diamond Theory" are
now scanned and uploaded. See a slideshow.
For downloading, all 12 pages are combined in a PDF.
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