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Saturday, June 25, 2022
Gödel, Escher, Bach
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Sunday, June 23, 2019
Verbum Sat
Vinnie Mancuso, in an article now dated December 25, 2018 —
Related art —
Click image for further details.
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Wednesday, August 30, 2017
Saturday, February 18, 2017
Verbum
The Log24 version (Nov. 9, 2005, and later posts) —
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VERBUM
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See also related material in the previous post, Transformers.
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Sunday, November 19, 2023
Six Dimensions
"Sharpie, we have condensed six dimensions into four,
then we either work by analogy into six, or we have to use math
that apparently nobody but Jake and my cousin Ed understands.
Unless you can think of some way to project six dimensions into three–
you seem to be smart at such projections."
I closed my eyes and thought hard. "Zebbie, I don't think it can be done.
Maybe Escher could have done it."
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Wednesday, May 10, 2023
Saving the Appearances
“… I realized that to me,
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
Related images —
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Thursday, April 20, 2023
Alphabet Meets Gestalt . . .
Continued from April 18 .
"Working with words to create art
and working with your hands to create art
seem like two separate activities to me."
— Cover artist, The New Yorker , on April 17
See also Alphabet Blocks in this journal
as well as Escher's Verbum.
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Tuesday, June 25, 2019
Saturday, September 22, 2018
Symmetric Generation, by Netflix
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Friday, September 21, 2018
Symmetric Generation, by Nao
"The creation of a new world
starts now.
Once again I am tied
to the logic of this
Hyper-symmetrical-dimension."
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Saturday, July 12, 2014
Sequel
A sequel to the 1974 film
Thunderbolt and Lightfoot :
Contingent and Fluky
Some variations on a thunderbolt theme:
These variations also exemplify the larger
Verbum theme:
A search today for Verbum in this journal yielded
a Georgetown University Chomskyite, Professor
David W. Lightfoot.
"Dr. Lightfoot writes mainly on syntactic theory,
language acquisition and historical change, which
he views as intimately related. He argues that
internal language change is contingent and fluky,
takes place in a sequence of bursts, and is best
viewed as the cumulative effect of changes in
individual grammars, where a grammar is a
'language organ' represented in a person's
mind/brain and embodying his/her language
faculty."
Some syntactic work by another contingent and fluky author
is related to the visual patterns illustrated above.
See Tecumseh Fitch in this journal.
For other material related to the large Verbum cube,
see posts for the 18th birthday of Harry Potter.
That birthday was also the upload date for the following:
See esp. the comments section.
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Wednesday, June 16, 2010
Brightness at Noon
David Levine's portrait of Arthur Koestler (see Dec. 30, 2009) —
See also this morning's post as well as
Monday's post quoting George David Birkhoff —
"If I were a Leibnizian mystic… I would say that…
God thinks multi-dimensionally — that is,
uses multi-dimensional symbols beyond our grasp."
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Saturday, September 5, 2009
Saturday September 5, 2009
For the
Burning Man
Burning Man
(Cover slightly changed.)
Background —
SAT
Part I:
Part II:
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Part III:
From August 25th —
"Boo, boo, boo,
square root of two."
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Sunday, August 17, 2008
Sunday August 17, 2008
“Maybe Escher
could have done it.“
could have done it.“
Detail from
Escher’s Verbum
(“In Touch with God“)
The title link of this entry
leads, via a Log24 entry, to
a story by Robert A. Heinlein.
For those who, like Rick Warren
(shown below in a current news page),
prefer Jewish narratives,
I recommend
1. Kesher Talk’s “Dick Morris:
Flaming Sword of Vengeance“
3. Triangulation.
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Monday, July 23, 2007
Monday July 23, 2007
Daniel Radcliffe
is 18 today.
is 18 today.
Greetings.
“The greatest sorcerer (writes Novalis memorably)
would be the one who bewitched himself to the point of
taking his own phantasmagorias for autonomous apparitions.
Would not this be true of us?”
–Jorge Luis Borges, “Avatars of the Tortoise”
“El mayor hechicero (escribe memorablemente Novalis)
sería el que se hechizara hasta el punto de
tomar sus propias fantasmagorías por apariciones autónomas.
¿No sería este nuestro caso?”
–Jorge Luis Borges, “Los Avatares de la Tortuga“
Autonomous Apparition
At Midsummer Noon:
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It is not enough to cover the rock with leaves. We must be cured of it by a cure of the ground Or a cure of ourselves, that is equal to a cure
Of the ground, a cure beyond forgetfulness.
And if we ate the incipient colorings – Wallace Stevens, “The Rock” |
See also
“… I realized that to me,
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
Hofstadter’s cover.
Here are three patterns,
“shadows” of a sort,
derived from a different
“central object”:
“shadows” of a sort,
derived from a different
“central object”:
Click on image for details.
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Thursday, October 5, 2006
Thursday October 5, 2006
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.
And, more simply,
April 28, 2004:
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:
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.”
“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 4×9 black rectangle
has also served
at least one interpreter
as a philosopher’s stone,
and is also the original
“Halmos tombstone.”
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Wednesday, January 4, 2006
Wednesday January 4, 2006
Dragon School
In memory of Humphrey Carpenter, author of The Inklings, who attended The Dragon School. Carpenter died a year ago today.
From Log24 on Nov. 16, 2005:
Images
Adam Gopnik on C. S. Lewis in the New Yorker:
"Lewis began with a number of haunted images…."
"The best of the books are the ones… where the allegory is at a minimum and the images just flow."
"'Everything began with images,' Lewis wrote…."
From Paul Preuss,
Broken Symmetries
(see previous entry):
"Mathematical relationships were enough to satisfy him, mere formal relationships which existed at all times, everywhere, at once. It was a thin nectar, but he was convinced it was the nectar of the gods…."
From
Verbum Sat Sapienti?
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