Log24

Saturday, October 24, 2020

Grids

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

Wikipedia on what has been called “the doily” —

“The smallest non-trivial generalized quadrangle
is GQ(2,2), whose representation* has been dubbed
‘the doily’ by Stan Payne in 1973.”

A later publication relates the doily to grids.

From Finite Generalized Quadrangles , by Stanley E. Payne
and J. A. Thas, December 1983, at researchgate.net, pp. 81-82—

“Then the lines … define a 3×3 grid G  (i.e. a grid
consisting of 9 points and 6 lines).”
. . . .
“So we have shown that the grid G  can completed [sic ]
in a unique way to a grid with 8 lines and 16 points.”
. . . .
“A 4×4 grid defines a linear subspace
of  the 2−(64,4,1) design, i.e. a 4×4 grid
together with the affine lines on it is AG(2,4).”

A more graphic approach from this journal —

Seven is Heaven...

Click the image for further details.

* This wording implies that GQ(2,2) has a unique
visual representation. It does not. See inscape .

Sunday, March 17, 2019

Another Lying Rhyme…

Filed under: General — Tags: — m759 @ 11:29 pm

For Tom Stoppard, author of "Jumpers"

"Seven is Heaven" 


          From a webpage of Bill Cherowitzo

" … the Fano plane ,
a set of seven points
grouped into seven lines
that has been called
'the combinatorialist’s coat of arms.' "

— Blake Stacey in a March 14 post 

Tuesday, July 26, 2016

In Nomine Patris

Filed under: General — Tags: , , — m759 @ 9:48 pm

"Robert Fano, an electrical engineer who was instrumental
in creating a world of instantly responsive computers, died
on July 13 in Naples, Fla. He was 98."

John Markoff in this evening's online New York Times

Wikipedia on Robert Fano

"Fano's father was the mathematician Gino Fano . . . .

A mnemonic I associate with the Fano plane — "Seven is Heaven . . . .

Log24 on the date of Robert Fano's death —

Saturday, July 2, 2016

Mnemonic

Filed under: General — Tags: — m759 @ 8:24 pm
 

"…  Seven is Heaven,  Eight is a Gate  …"

 

Tuesday, May 31, 2016

Galois Space —

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

A very brief introduction:

Seven is Heaven...

Sunday, March 20, 2016

Where

Filed under: General — Tags: — m759 @ 12:00 am

"Where indeed might the literary scholar expect to find, 
if not in literature, the measure  of modern thought?"

— "Ruins of the Ogdoad," by Michael Keefer

"Seven is Heaven, Eight is a Gate, Nine is a Vine."

— Mnemonic rhyme; author anonymous

Saturday, September 20, 2014

Review

Filed under: General — m759 @ 8:00 pm

See “Seven is Heaven, Eight is a Gate” in this journal.

For greater detail, see “Seven is Heaven” and “Eight is a Gate” separately.

Sunday, November 4, 2012

Shakespeare’s Rhyme

Filed under: General — m759 @ 5:01 am

From Saturday Night Live  last night—

IMAGE- Louis C. K. as Shakespeare on SNL

Related material from the Log24 post "Now Lens"
(March 11, 2011)—

Errol Morris in The New York Times  on March 9, 2011

"If everything is incommensurable, then everything
is seen through the lens of the present, the lens of now ."

"Borges concluded by quoting Chesterton, 'there is nothing
more frightening than a labyrinth that has no center.' [72]"

See also Borges on Shakespeare, everything, and nothing 
in a note from September 7, 2006.

Everything and nothing in Peter J. Cameron's weblog yesterday—

The existence of everything entails the existence of nothing;
indeed, the existence of anything (any set A) entails
the existence of the empty set (the set {x∈A:x≠x}).
But not the other way round.

Right, I had better put on my anorak and go out now …

Illustration added by m759—

How many miles to Babylon?*
Three score miles and ten.
Can I get there by candle-light?**
Yes, and back again.

* Suggested by the Pindar link in this journal yesterday.

** Quoted in the "Seven is Heaven" post on All Souls' Day.

Friday, November 2, 2012

By Candlelight

Filed under: General — m759 @ 7:00 pm

"Seven is Heaven, Eight is a Gate" — Memory rhyme

For Rebekah Gay

IMAGE- Book cover (horse, girl at gate) of 'Can I Get There by Candlelight?,' illus. by Ted Lewin

Click for image source.

Friday, January 20, 2012

Chess

Filed under: General — Tags: — m759 @ 8:00 pm
 
Saturday, November 12, 2005

— m759 @ 8:00 PM

(continued)

A Singer 7-Cycle

“… problems are the poetry of chess.
   They demand from the composer
   the same virtues that characterize
   all worthwhile art:
   originality, invention, 
   harmony, conciseness,
   complexity, and
   splendid insincerity.”

   —Vladimir Nabokov

Monday, April 25, 2011

The Apollo* Meme

Filed under: General — m759 @ 9:00 pm

In the May Smithsonian  magazine— "What Defines a Meme?"

Related — Seven is Heaven

Seven is Heaven...

* For the connection to Apollo, see Oct. 9, 2006.

Saturday, October 9, 2010

Some Like It in the Pot

Filed under: General — m759 @ 11:59 am

Seven is Heaven, Eight is a Gate, Nine is a Vine

"And the serpent's eyes shine…."

Sunday, November 9, 2008

Sunday November 9, 2008

Filed under: General — m759 @ 9:00 am

“Beauty is a riddle.”

— Dostoevsky

“Seven is Heaven
 Eight is a Gate
 Nine is a Vine”

— Folk rhyme

Monday, February 25, 2008

Monday February 25, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 4:00 pm
A System of SymbolsA book from
Yale University Press
discussed in Log24
four years ago today:

Inside Modernism: Relativity Theory, Cubism, Narrative

Click on image for details.

The book is titled
Inside Modernism:
Relativity Theory,
Cubism, Narrative
.

For a narrative about relativity
and cubes, see Knight Moves.

Related material:

Geek chic in
this week’s New Yorker

“… it takes a system of symbols
to make numbers precise–
to ‘crystallize’ them….”

— and a mnemonic for three
days in October 2006
following a memorial to
the Amish schoolchildren
slain that month:

Seven is Heaven,
Eight is a Gate,
Nine is a Vine.

Monday, July 30, 2007

Monday July 30, 2007

Filed under: General,Geometry — m759 @ 7:00 pm
The Deathly Hallows Symbol

'Deathly Hallows symbol, related to the 'Snakes on a Plane' cartoon.

Some fear that the Harry Potter books introduce children to the occult; they are not entirely mistaken.

According to Wikipedia, the “Deathly Hallows” of the final Harry Potter novel are “three fictional magical objects that appear in the book.”

The vertical line, circle, and triangle in the symbol pictured above are said to refer to these three magical objects.

One fan relates the “Deathly Hallows” symbol above, taken from the spine of a British children’s edition of the book, to a symbol for “the divine (or sacred, or secret) fire” of alchemy. She relates this fire in turn to “serpent power” and the number seven:

Kristin Devoe at a Potter fan site:

“We know that seven is a powerful number in the novels. Tom Riddle calls it ‘the most powerfully magic number.‘ The ability to balance the seven chakras within oneself allows the person to harness the secret fire. This secret fire in alchemy is the same as the kundalini or coiled snake in yogic philosophy. It is also known as ‘serpent power’ or the ‘dragon’ depending on the tradition. The kundalini is polar in nature and this energy, this internal fire, is very powerful for those who are able to harness it and it purifies the aspirant allowing them the knowledge of the universe. This secret fire is the Serpent Power which transmutes the base metals into the Perfect Gold of the Sun.

It is interesting that the symbol of the caduceus in alchemy is thought to have been taken from the symbol of the kundalini. Perched on the top of the caduceus, or the staff of Hermes, the messenger of the gods and revealer of alchemy, is the golden snitch itself! Many fans have compared this to the scene in The Order of the Phoenix where Harry tells Dumbledore about the attack on Mr. Weasley and says, ‘I was the snake, I saw it from the snake’s point of view.

The chapter continues with Dumbledore consulting ‘one of the fragile silver instruments whose function Harry had never known,’ tapping it with his wand:

The instrument tinkled into life at once with rhythmic clinking noises. Tiny puffs of pale green smoke issued from the minuscule silver tube at the top. Dumbledore watched the smoke closely, his brow furrowed, and after a few seconds, the tiny puffs became a steady stream of smoke that thickened and coiled into he air… A serpent’s head grew out of the end of it, opening its mouth wide. Harry wondered whether the instrument was confirming his story; He looked eagerly at Dumbledore for a sign that he was right, but Dumbledore did not look up.

“Naturally, Naturally,” muttered Dumbledore apparently to himself, still observing the stream of smoke without the slightest sign of surprise. “But in essence divided?”

Harry could make neither head not tail of this question. The smoke serpent, however split instantly into two snakes, both coiling and undulating in the dark air. With a look of grim satisfaction Dumbledore gave the instrument another gentle tap with his wand; The clinking noise slowed and died, and the smoke serpents grew faint, became a formless haze, and vanished.

Could these coiling serpents of smoke be foreshadowing events to come in Deathly Hallows where Harry learns to ‘awaken the serpent’ within himself? Could the snake’s splitting in two symbolize the dual nature of the kundalini?”

Related material

The previous entry

“And the serpent’s eyes shine    
As he wraps around the vine
In The Garden of Allah” —

and the following
famous illustration of
the double-helix
structure of DNA:

 Odile Crick, drawing of DNA structure in the journal Nature, 1953
This is taken from
a figure accompanying
an obituary, in today’s
New York Times, of the
artist who drew the figure
.

The double helix
is not a structure
from magic; it may,
however, as the Rowling
quote above shows, have
certain occult uses,
better suited to
Don Henley’s
Garden of Allah
than to the
  Garden of Apollo.

Seven is Heaven...

Similarly, the three objects
above (Log24 on April 9)
are from pure mathematics–
the realm of Apollo, not
of those in Henley’s song.

The similarity of the
top object of the three —
the “Fano plane” — to
the “Deathly Hallows”
symbol is probably
entirely coincidental.

Saturday, July 7, 2007

Saturday July 7, 2007

Filed under: General — m759 @ 1:48 am
Seven is Heaven


John Lahr, review
of a production of Tom Stoppard’s “Jumpers”–

The play is about a philosophy professor, George, and his wife, Dotty, who “exudes a sumptuous sexuality…. She has a pert round head, high cheekbones, and a deep voice, which, like her acting, is full of playfulness and longing. George is lost in thought; Dotty is just lost. ‘Heaven, how can I believe in Heaven?’ she sings at the finale. ‘Just a lying rhyme for seven!’ She is promise and heartbreak in one.”

The image “http://www.log24.com/log/pix07/070707-Obits.jpg” cannot be displayed, because it contains errors.

“With a name like Frigo…”

Related material:

Eight is a Gate

Thursday, June 14, 2007

Thursday June 14, 2007

Filed under: General — Tags: — m759 @ 9:00 pm
A Time
for Remembering

June 9, the birthday of
Aaron Sorkin, a writer
mentioned in recent
Log24 entries, was also
the birthday of writer
Patricia Cornwell.

An illustration
from that date:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

Cornwell's first book was
a biography of
Ruth Bell Graham,
A Time for Remembering.

"Seven is heaven,
Eight is a gate,
Nine is a vine."
 

Monday, April 9, 2007

Monday April 9, 2007

Filed under: General — m759 @ 1:00 pm
Continued from last April:

ART WARS
in Poetry Month

Seven is Heaven...

Related Log24
entries from
last April:

7
8
9

Related Log24
entry from
this April

Sunday, December 24, 2006

Sunday December 24, 2006

Filed under: General — Tags: — m759 @ 7:00 am
 The Edge of Eternity

(in memory of George Latshaw,
who died on Tuesday, Dec. 19, 2006)

Log24 on October 25, 2005:

Brightness Doubled

The image “http://www.log24.com/log/pix05B/051025-Sun3.jpg” cannot be displayed, because it contains errors.

Seven is Heaven

“Love is the shadow
   that ripens the vine.
Set the controls for
   the heart of the Sun.

Witness the man who
   raves at the wall
Making the shape of his
   questions to Heaven.
Knowing the sun will fall
   in the evening,
Will he remember the
   lessons of giving?
Set the controls for
   the heart of the Sun.
Set the controls for
   the heart of the Sun.”

— Roger Waters, quoted in
    Allusions to Classical
    Chinese Poetry in Pink Floyd


The image “http://www.log24.com/log/pix06B/061224-NYT-Latshaw.jpg” cannot be displayed, because it contains errors.

Click on picture for details.

Related material:

Part I —
Wordsworth

Adapted from
Brenda Garrett’s

At Home in Landscape:
Mannheim’s Chiliastic Mentality
in ‘Tintern Abbey’

Garrett comments on Wordsworth’s approach to landscape, citing Karl Mannheim, Ideology and Utopia, translated by Louis Wirth and Edward Shils (page numbers below refer to the 1998 Routledge edition):

“… ‘the present becomes the breach through which what was previously inward, bursts out suddenly, takes hold of the outer world and transforms it’ [p. 193]. This breaking through into ecstasy can only be brought about through ‘Kairos‘ or ‘fulfilled time'”….

See translators’ note, p. 198: “In Greek mythology Kairos is the God of Opportunity– the genius of the decisive moment.  The Christianized notion of this is given thus in Paul Tillich‘s The Religious Situation [1925, translation by H. Richard Niebuhr, New York, Holt, 1932, pp. 138-139]: ‘Kairos is fulfilled time, the moment of time which is invaded by eternity.  But Kairos is not perfection or completion in time.'”

Garrett quotes Wordsworth’s 1850 Prelude:

There are in our existence spots of time,
That with distinct pre-eminence retain
A renovating virtue … (12.208-210)

“And in book 14 Wordsworth…. symbolizes how man can find transcendent unity with the universe through the image of himself leading his group to the peak of Mt. Snowdon. Climbing at night in thick fog, he almost steps off a cliff, but at the last instant, he steps out of the mist, the moon appears, and his location on the brink is revealed. Walking in the darkness of reason, his imagination illumed the night, revealed the invisible world, and spared him his life.”

See also Charles Frazier on the edge of eternity:

“They climbed to a bend and from there they walked on great slabs of rock. It seemed to Inman that they were at the lip of a cliff, for the smell of the thin air spoke of considerable height, though the fog closed off all visual check of loftiness…. Then he looked back down and felt a rush of vertigo as the lower world was suddenly revealed between his boot toes. He was indeed at the lip of a cliff, and he took one step back….”

Cold Mountain

Part II — 7/15

From Log24 on 7/15, 2005:

Christopher Fry’s obituary
in The New York Times

“His plays radiated
an optimistic faith in God
and humanity, evoking,
in his words, ‘a world
in which we are poised
on the edge of eternity,
a world which has
deeps and shadows
of mystery,
and God is anything but
a sleeping partner.'”

Accompanying illustration:

The image “http://www.log24.com/log/pix05A/050703-Cold.jpg” cannot be displayed, because it contains errors.

Adapted from cover of
German edition of Cold Mountain


Monday, October 9, 2006

Monday October 9, 2006

Filed under: General,Geometry — Tags: — m759 @ 9:00 am
ART WARS:
To Apollo

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

“This is the garden of Apollo,
the field of Reason….”
John Outram, architect

To Apollo (10/09/02)
Art Wars: Apollo and Dionysus
(10/09/02)
Balanchine’s Birthday
(01/09/03)
Art Theory for Yom Kippur
(10/05/03)
A Form
(05/22/04)
Ineluctable
(05/27/04)
A Form, continued
(06/05/04)
Parallelisms
(06/06/04)
Ado
(06/25/04)
Deep Game
(06/26/04)
Gameplayers of Zen
(06/27/04)
And So To Bed
(06/29/04)
Translation Plane for Rosh Hashanah
(09/15/04)
Derrida Dead
(10/09/04)
The Nine
(11/09/04)
From Tate to Plato
(11/19/04)
Art History
(05/11/05)
A Miniature Rosetta Stone
(08/06/05)
High Concept
(8/23/05) 
High Concept, Continued
(8/24/05)
Analogical Train of Thought
(8/25/05)
Today’s Sermon: Magical Thinking
(10/09/05)
Balance
(10/31/05)
Matrix
(11/01/05)
Seven is Heaven, Eight is a Gate
(11/12/05)
Nine is a Vine
(11/12/05)
Apollo and Christ
(12/02/05)
Hamilton’s Whirligig
(01/05/06)
Cross
(01/06/06)
On Beauty
(01/26/06)
Sunday Morning
(01/29/06)
Centre
(01/29/06)
New Haven
(01/29/06) 
Washington Ballet
(02/05/06)
Catholic Schools Sermon
(02/05/06)
The Logic of Apollo
(02/05/06)
Game Boy
(08/06/06)
Art Wars Continued: The Krauss Cross
(09/13/06)
Art Wars Continued: Pandora’s Box
(09/16/06)
The Pope in Plato’s Cave
(09/16/06)
Today’s Birthdays
(09/26/06)
Symbology 101
(09/26/06)

Friday, August 11, 2006

Friday August 11, 2006

Filed under: General — m759 @ 7:00 pm

Catechism

QNo more Mr. Nice Guy?
ASeven is heaven.

Monday, July 31, 2006

Monday July 31, 2006

Filed under: General — m759 @ 2:00 am

For the feast of
St. Ignatius Loyola…

Final Arrangements,
continued:

 

“Now you has jazz.”
High Society, 1956 

The image “http://www.log24.com/log/pix06A/060731-Deaths.jpg” cannot be displayed, because it contains errors.

— Today’s online New York Times

Also from today’s
New York Times
:

The image “http://www.log24.com/log/pix06A/060731-Kreuger.gif” cannot be displayed, because it contains errors.

Kurt Kreuger
in the 1945 film
“Paris Underground.”
 
Kurt Kreuger,
a German-born actor
who reluctantly played
Nazi soldiers
in many films
about World War II,
died July 12 in
Beverly Hills, Calif.
He was 89.

Log24, Wednesday,
July 12, 2006
:

Band Numbers

“Some friends
 of mine
 are in
 this band…”

— David
   Auburn,
   Proof

Seven is Heaven
,
Eight is a Gate,
Nine is a Vine.

The Prime Powers

Related material:

A Log24 entry commemorating
the murder of six Jesuits
in El Salvador.

Wednesday, July 12, 2006

Wednesday July 12, 2006

Filed under: General — m759 @ 9:00 am

Band Numbers

“Some friends of mine
are in this band…”
— David Auburn, Proof

Seven is Heaven
,
Eight is a Gate,
Nine is a Vine.

The Prime Powers

Monday, July 10, 2006

Monday July 10, 2006

Filed under: General — Tags: — m759 @ 2:48 am
Knock, Knock, Knockin'

An obituary in this morning's New York Times suggests a flashback. The Times says that Paul Nelson, 69, a music critic once famously ripped off by the young Bobby Zimmerman, was found dead in his Manhattan apartment last Wednesday. Here is a Log24 entry for that date. (The obituary, by Jon Pareles, notes that Nelson "prized hard-boiled detective novels and film noir.")

Wednesday, July 5, 2006  7:35 PM

Dance of the Numbers
continued–

A music review:

"… in the mode of
 a film noir murder mystery"

"For Bach, as Sellars explains,
 death is not an exit but an entrance."

Seven is Heaven,
Eight is a Gate,
Nine is a Vine.

Wednesday, July 5, 2006

Wednesday July 5, 2006

Filed under: General — m759 @ 7:35 pm

Dance of the Numbers
continued–

A music review:

“… in the mode of a film noir murder mystery

“For Bach, as Sellars explains,
 death is not an exit but an entrance.”

Seven is Heaven
,
Eight is a Gate,
Nine is a Vine.

Saturday, November 12, 2005

Saturday November 12, 2005

Filed under: General — Tags: — m759 @ 8:00 pm
Seven is Heaven,
Eight is a Gate


(continued)

A Singer 7-Cycle

“… problems are the poetry of chess.
They demand from the composer
 the same virtues that characterize
all worthwhile art:
originality, invention,
harmony, conciseness,
complexity, and
splendid insincerity.”

Vladimir Nabokov

Tuesday, October 25, 2005

Tuesday October 25, 2005

Filed under: General — Tags: — m759 @ 12:00 pm
Brightness Doubled

The image “http://www.log24.com/log/pix05B/051025-Sun3.jpg” cannot be displayed, because it contains errors.

From Log24 on October 7, 2005,
the day that Dr. Michael Ward died:

Seven is Heaven

“Love is the shadow that ripens the vine.
Set the controls for the heart of the Sun.

Witness the man who raves at the wall
Making the shape of his questions to Heaven.
Knowing the sun will fall in the evening,
Will he remember the lessons of giving?
Set the controls for the heart of the Sun.
Set the controls for the heart of the Sun.”

— Roger Waters, quoted in
    Allusions to Classical
    Chinese Poetry in Pink Floyd

Friday, October 7, 2005

Friday October 7, 2005

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

Seven is Heaven

The image “http://www.log24.com/log/pix05B/051007-%20Brightness.jpg” cannot be displayed, because it contains errors.

“Love is the shadow that ripens the vine.
Set the controls for the heart of the Sun.

Witness the man who raves at the wall
Making the shape of his questions to Heaven.
Knowing the sun will fall in the evening,
Will he remember the lessons of giving?
Set the controls for the heart of the Sun.
Set the controls for the heart of the Sun.”

— Roger Waters, quoted in
    Allusions to Classical
    Chinese Poetry in Pink Floyd

Tuesday, July 1, 2003

Tuesday July 1, 2003

Filed under: General — Tags: — m759 @ 5:37 pm

Jew’s on First

This entry is dedicated to those worshippers of Allah who have at one time or another cried
Itbah al-Yahud!” … Kill the Jew!
(See June 29 entries).

Dead at 78

Comedian Buddy Hackett died on Tuesday, July First, 2003, according to the New York Times.  According to Bloomberg.com, he died Sunday or Monday.

Associated Press

Buddy Hackett,
on the set of
“It’s a Mad, Mad,
Mad, Mad
World”
in 1962.

Whatever.  We may imagine he has now walked, leading a parade of many other stand-up saints, into a bar.


Hepburn at Chaillot

MIDRASH
for Buddy Hackett

From my May 25 entry,

Matrix of the Death God:

R. M. Abraham’s Diversions and Pastimes, published by Constable and Company, London, in 1933, has the following magic square:

The Matrix of Abraham

A summary of the religious import of the above from Princeton University Press:

“Moslems of the Middle Ages were fascinated by pandiagonal squares with 1 in the center…. The Moslems thought of the central 1 as being symbolic of the unity of Allah.  Indeed, they were so awed by that symbol that they often left blank the central cell on which the 1 should be positioned.”

— Clifford A. Pickover, The Zen of Magic Squares, Circles, and Stars, Princeton U. Press, 2002, pp. 71-72

Other appearances of this religious icon on the Web include:

On Linguistic Creation

Picasso’s Birthday

1991 Yearbook
Rolling Stone



Hackett

In the Picasso’s Birthday version, 22 of the 25 magic square cells are correlated with pictures on the “Class of ’91” cover of Rolling Stone magazine.  Number 7 is Rod Stewart.  In accordance with the theological rhyme “Seven is heaven, eight is a gate,” our site music for today is “Forever Young,” a tune made famous by Stewart.

Roderick, actually   the name of the hero in “Madwoman of Chaillot”

Tuesday, March 4, 2003

Tuesday March 4, 2003

Filed under: General — Tags: — m759 @ 9:25 pm

Fearful Symmetry

I just Googled this phrase and found the following site, which turns out to be related to my previous entry on the Bead Game and the death of John P. Thompson.

Fearful Symmetry:
The Music Master’s Lecture
,

by Daniel d’Quincy.

This in turn links to an excerpt from The Glass Bead Game that includes this passage: 

“I suddenly realized that in the language, or at any rate in the spirit of the Glass Bead Game, everything actually was all-meaningful, that every symbol and combination of symbols led not hither and yon, not to single examples, experiments, and proofs, but into the center, the mystery and innermost heart of the world, into primal knowledge. Every transition from major to minor in a sonata, every transformation of a myth or a religious cult, every classical or artistic formulation was, I realized in that flashing moment, if seen with a truly meditative mind, nothing but a direct route into the interior of the cosmic mystery, where in the alternation between inhaling and exhaling, between heaven and earth, between Yin and Yang, holiness is forever being created.”

It is very easy to get dangerously confused about holiness, but here are some relevant quotes:

“You will have to allow me to digress a bit in order to bring ourselves to a sufficiently elevated perspective… I warn you, it will require an attitude of playfulness on your part. Our approach will aim more at sincerity than seriousness. The attitude I’m aiming at is best expressed, I suppose, in the playing of a unique game, known by its German name as Das Glasperlenspiel, and which we may translate as the Glass Bead Game.”

— Daniel d’Quincy, Fearful Symmetry 

“7:11”

— God himself said this, at least according to the previous entry and to my Jan. 28 entry, State of the Communion.

“Seven is heaven.”

— See my web page Eight is a Gate.

“An excellent example of a ‘universal’ in the sense of Charles Williams, Jung, or Plato is Hexagram 11 in China’s 3,000-year-old classic, the I Ching:

Hexagram 11

‘Heaven and earth unite:
 the image of PEACE.’ 
 (Wilhelm/Baynes translation,
 Princeton University Press, 1967)” 

— S. H. Cullinane, Plato, Pegasus, and the Evening Star

Thus we may associate the numbers 7 and 11 with the notions of heaven and peace; for a somewhat darker association of the time 7:11 with Kali as Time the Destroyer, see my last entry and also my previous entries

Fat Man and Dancing Girl (Feb. 18, 2003), and 

Time and Eternity (Feb. 1, 2003).

Monday, December 16, 2002

Monday December 16, 2002

Filed under: General,Geometry — m759 @ 10:00 pm

Rebecca Goldstein
at Heaven’s Gate

This entry is in gratitude for Rebecca Goldstein’s
excellent essay
in The New York Times of December 16, 2002.

She talks about the perennial conflict between two theories of truth that Richard Trudeau called the “story theory” and the “diamond theory.” My entry of December 13, 2002, “Rhyme Scheme,” links the word “real” to an article in the Stanford Encyclopedia of Philosophy that contains the following:

“According to a platonist about arithmetic, the truth of the sentence ‘7 is prime’ entails the existence of an abstract object, the number 7. This object is abstract because it has no spatial or temporal location, and is causally inert. A platonic realist about arithmetic will say that the number 7 exists and instantiates the property of being prime independently of anyone’s beliefs, linguistic practices, conceptual schemes, and so on. A certain kind of nominalist rejects the existence claim which the platonic realist makes: there are no abstract objects, so sentences such as ‘7 is prime’ are false…”

This discussion of “sevenness,” along with the discussion of “eightness” in my December 14, 2002, note on Bach, suggest that I supply a transcription of a note in my paper journal from 2001 that deals with these matters.

From a paper journal note of October 5, 2001:

The 2001 Silver Cup Award
for Realism in Mathematics
goes to…
Glynis Johns, star of
The Sword and the Rose,
Shake Hands with the Devil, and
No Highway in the Sky.

Glynis Johns is 78 today.

“Seven is heaven,
Eight is a gate.”
— from
Dealing with Memory Changes
as You Grow Older
,
by Kathleen Gose and Gloria Levi

“There is no highway in the sky.”
— Quotation attributed to Albert Einstein.
(See
Gotthard Günther’s website
“Achilles and the Tortoise, Part 2”.)

“Don’t give up until you
Drink from the silver cup
And ride that highway in the sky.”
America, 1974

See also page 78 of
Realism in Mathematics
(on Gödel’s Platonism)
by Penelope Maddy,
Clarendon Press, Oxford, 1990
(reprinted, 2000).

Added 12/17/02: See also
the portrait of Rebecca Goldstein in
Hadassah Magazine
 Volume
78
Number 10
(June/July 1997).

For more on the Jewish propensity to
assign mystical significance to numbers, see
Rabbi Zwerin’s Kol Nidre Sermon.

For the significance of “seven” in Judaism, see
Zayin: The Woman of Valor.
For the significance of “eight” in Judaism, see
Chet: The Life Dynamic.

For the cabalistic significance of
“Seven is heaven, Eight is a gate,”
note that Zayin, Seven, signifies
“seven chambers of Paradise”
and that Chet, Eight, signifies
the “gateway to infinity.”

For the significance of the date 12.17, see
Tet: The Concealed Good.

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