Log24

Monday, September 26, 2016

Myspace China …

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Revisited

The Embedding

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From this morning's 3:33 AM ET post

Adapted from a post of Dec. 8, 2012, "Defining the Contest" —

From a post of Sept. 22, "Binary Opposition Illustrated" —

From Sunday's news

Palmervision

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Eleanor Arroway and Palmer Joss in the "Occam's Razor"
scene from the 1997 film "Contact"

Sunday, September 25, 2016

Introduction to Pragmatism

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Stanford Encyclopedia of Philosophy
on the origins of Pragmatism:

"Pragmatism had been born in the discussions at
a ‘metaphysical club’ in Harvard around 1870
(see Menand…*). Peirce and James participated
in these discussions along with some other philosophers
and philosophically inclined lawyers. As we have
already noted, Peirce developed these ideas in his
publications from the 1870s."

From "How to Make Our Ideas Clear,"
by Charles Sanders Peirce in 1878 —

"The very first lesson that we have a right to demand that logic shall teach us is, how to make our ideas clear; and a most important one it is, depreciated only by minds who stand in need of it. To know what we think, to be masters of our own meaning, will make a solid foundation for great and weighty thought. It is most easily learned by those whose ideas are meagre and restricted; and far happier they than such as wallow helplessly in a rich mud of conceptions. A nation, it is true, may, in the course of generations, overcome the disadvantage of an excessive wealth of language and its natural concomitant, a vast, unfathomable deep of ideas. We may see it in history, slowly perfecting its literary forms, sloughing at length its metaphysics, and, by virtue of the untirable patience which is often a compensation, attaining great excellence in every branch of mental acquirement. The page of history is not yet unrolled which is to tell us whether such a people will or will not in the long-run prevail over one whose ideas (like the words of their language) are few, but which possesses a wonderful mastery over those which it has. For an individual, however, there can be no question that a few clear ideas are worth more than many confused ones. A young man would hardly be persuaded to sacrifice the greater part of his thoughts to save the rest; and the muddled head is the least apt to see the necessity of such a sacrifice. Him we can usually only commiserate, as a person with a congenital defect. Time will help him, but intellectual maturity with regard to clearness comes rather late, an unfortunate arrangement of Nature, inasmuch as clearness is of less use to a man settled in life, whose errors have in great measure had their effect, than it would be to one whose path lies before him. It is terrible to see how a single unclear idea, a single formula without meaning, lurking in a young man's head, will sometimes act like an obstruction of inert matter in an artery, hindering the nutrition of the brain, and condemning its victim to pine away in the fullness of his intellectual vigor and in the midst of intellectual plenty. Many a man has cherished for years as his hobby some vague shadow of an idea, too meaningless to be positively false; he has, nevertheless, passionately loved it, has made it his companion by day and by night, and has given to it his strength and his life, leaving all other occupations for its sake, and in short has lived with it and for it, until it has become, as it were, flesh of his flesh and bone of his bone; and then he has waked up some bright morning to find it gone, clean vanished away like the beautiful Melusina of the fable, and the essence of his life gone with it. I have myself known such a man; and who can tell how many histories of circle-squarers, metaphysicians, astrologers, and what not, may not be told in the old German story?"

Peirce himself may or may not have been entirely successful
in making his ideas clear.  See Where Credit Is Due  (Log24, 
June 11, 2016) and the Wikipedia article Categories (Peirce).

* Menand, L., 2001. The Metaphysical ClubA Story of
Ideas in America
 
, New York:  Farrar, Straus and Giroux

Saturday, September 24, 2016

The Seven Seals

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From Hermann Weyl's 1952 classic Symmetry —

"Galois' ideas, which for several decades remained
a book with seven seals  but later exerted a more
and more profound influence upon the whole
development of mathematics, are contained in
a farewell letter written to a friend on the eve of
his death, which he met in a silly duel at the age of
twenty-one. This letter, if judged by the novelty and
profundity of ideas it contains, is perhaps the most
substantial piece of writing in the whole literature
of mankind."

Some Galois geometry —

See the previous post for more narrative.

Core Structure

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For the director of "Interstellar" and "Inception"

At the core of the 4x4x4 cube is …

 


                                                      Cover modified.

The Eightfold Cube

Friday, September 23, 2016

Screen Test

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Great Circle  is now available in a Kindle edition.

Annals of Scientism

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Last night, Thursday, Sept. 22, 2016, at Harvard's Sanders Theatre,
the annual Ig Nobel prizes were awarded.

This journal earlier that day —

Related material —

Thursday, September 22, 2016

Near Zero

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See "freeze the shifting phantasmagoria" in this journal.

Binary Opposition Illustrated

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Click the above image for remarks on
"deep structure" and binary opposition.

See also the eightfold cube.

Equinox Note

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"The Genesis of an Icon:
The Taiji  Diagram's Early History
"
By François Louis
Harvard Journal of Asiatic Studies
Vol. 63, No. 1 (June 2003), pp. 145-196

See also "arrowy, still strings" in this journal.

Wednesday, September 21, 2016

Cork

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The phrase "binary opposition" in the previous post suggests
a review of some binary-related concepts —

Boole at Cork

From a post on St. Finbarr's Day 2015

From http://www.chosentwo.com/buffy/quotes/harvest.php

Buffy: So, Giles! Got anything that can make this day any worse?
Giles: How about the end of the world?
Buffy: Knew I could count on you.

Giles: This is what we know. Some sixty years ago, a very old, very powerful vampire came to this shore, not just to feed.
Buffy: He came 'cause this town's a mystical who's it.
Giles: Yes. The Spanish who first settled here called it 'Boca del Infierno'. Roughly translated, 'Hellmouth'. It's a sort of, um, portal between this reality and the next. This vampire hopes to open it.
Buffy: Bring the demons back.
Xander: End of the world.
Willow: But he blew it! Or, I mean, there was an earthquake that swallowed half the town, and him, too.
Giles: You see, opening dimensional portals is a tricky business. Odds are he got himself stuck, rather like a, uh, cork in a bottle.
Xander: And this Harvest thing is to get him out.

Tuesday, September 20, 2016

Savage Logic

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From "The Cerebral Savage," by Clifford Geertz —

(Encounter, Vol. 28 No. 4 (April 1967), pp. 25-32.)

From http://www.diamondspace.net/about.html

The diamond theorem

The Diamond Theorem …

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As the Key to All Mythologies

For the theorem of the title, see "Diamond Theorem" in this journal.

"These were heavy impressions to struggle against,
and brought that melancholy embitterment which
is the consequence of all excessive claim: even his
religious faith wavered with his wavering trust in his
own authorship, and the consolations of the Christian
hope in immortality seemed to lean on the immortality
of the still unwritten Key to all Mythologies."

Middlemarch , by George Eliot, Ch. XXIX

Related material from Sunday's print New York Times

Sunday's Log24 sermon

See also the Lévi-Strauss "Key to all Mythologies" in this journal,
as well as the previous post.

Monday, September 19, 2016

Post-It Aesthetics

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"And six sides to bounce it all off of."

Squaring the Pentagon

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The "points" and "lines" of finite  geometry are abstract
entities satisfying only whatever incidence requirements
yield non-contradictory and interesting results. In finite
geometry, neither the points nor the lines are required to
lie within any Euclidean (or, for that matter, non-Euclidean)
space.

Models  of finite geometries may, however, embed the
points and lines within non -finite geometries in order
to aid visualization.

For instance, the 15 points and 35 lines of PG(3,2) may
be represented by subsets of a 4×4 array of dots, or squares,
located in the Euclidean plane. These "lines" are usually finite
subsets of dots or squares and not*  lines of the Euclidean plane.

Example — See "4×4" in this journal.

Some impose on configurations from finite geometry
the rather artificial requirement that both  points and lines
must be representable as those of a Euclidean plane.

Example:  A Cremona-Richmond pentagon —

A square version of these 15 "points" —

A 1905 square version of these 15 "points" 
with digits instead of letters —

See Parametrizing the 4×4 Array
(Log24 post of Sept. 13, 2016).

Update of 8 AM ET Sunday, Sept. 25, 2016 —
For more illustrations, do a Google image search
on "the 2-subsets of a 6-set." (See one such search.)

* But in some models are subsets of the grid lines 
   that separate squares within an array.

Sunday, September 18, 2016

Sermon

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Saturday, September 17, 2016

Symmetry and Logic

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"Symmetry, yes, but logic?"

Photo caption in the New York Times  review of the 2008 Albee play
      at Princeton titled "Me, Myself & I"    

Above: Albee rests on Wittgenstein.

Composition

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The late Edward Albee, as quoted today in The Telegraph :

“I tell my students, if you want to know something
about the structure of a play, listen to some Bach
preludes and fugues. I discovered classical music
when I was eight, nine, 10 years old, and I think
I learnt something about the nature of dramatic
structure from the nature of the music I was
listening to. I probably think of myself half the
time as a composer.”

See also  Box  as  Bach's.

Interior/Exterior

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3x3x3 Galois cube, gray and white

A Box of Nothing

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(Continued)

"And six sides to bounce it all off of.

Friday, September 16, 2016

For Albee’s Walk of Fame

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Every picture tells a story.

Wittgenstein’s Pentagram

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Related material —

See the story of a British man who reportedly had a doctorate in
physics and mathematics and became a witchcraft enthusiast.
He is said to have died at 85 on September 11, 2016.

As Wittgenstein noted, it is not always clear whether the pentagram
expresses a mathematical or an experiential proposition.

For some mathematical propositions related to the pentagram,
see (for instance) John Baez's slides for his 2008 Glasgow
lecture on the number 5.

For som experiential propositions, see Pentagram in this journal.

A Counting-Pattern

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Wittgenstein, 1939

Dolgachev and Keum, 2002

IMAGE- Dolgachev and Keum, coordinatization of the 4x4 array in 'Birational Automorphisms of Quartic Hessian Surfaces,' AMS Transactions, 2002

For some related material, see posts tagged Priority.

Thursday, September 15, 2016

Metaphysics in Brooklyn

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"Every Story Has a Deadline"

— Cover of a novel, Graveland

Cover:  Night at the Brooklyn Bridge

"Francesco Joseph Barbaro was born in Brooklyn
on Dec. 18, 1927. His father was an Italian immigrant
fisherman who became a master butcher. His mother
was from Sicily. They lived in what became known as
Carroll Gardens, then fell on hard times and moved
to Red Hook and then to Bensonhurst. . . . ."

Obituary in yesterday's online New York Times
 
   by Sam Roberts

Metaphysics at Notre Dame

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Recommended reading —

"When Analogies Fail," by Alexander Stern,
a doctoral candidate in philosophy at Notre Dame, in
The Chronicle of Higher Education  online September 11, 2016.

Related material —

That same Alexander Stern in this  journal on April 17, 2016:

See also the eightfold cube in the previous post,
Metaphysics at Scientific American:

Metaphysics at Scientific American

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In 2011 Scientific American  magazine ran
the following promotional piece for one of their articles —

"Why 5, 8 and 24 Are the Strangest Numbers 
in the Universe
," by Michael Moyer, "the editor
in charge of physics and space coverage."

This is notably bad metaphysics. Numbers are, of course,
not  "in  the universe" — the universe, that is, of physics.

A passage from G. H. Hardy's Mathematician's Apology 
is relevant:

The contrast between pure and applied mathematics
stands out most clearly, perhaps, in geometry.
There is the science of pure geometry, in which there
are many geometries, projective geometry, Euclidean
geometry, non-Euclidean geometry, and so forth. Each
of these geometries is a model , a pattern of ideas, and
is to be judged by the interest and beauty of its particular
pattern. It is a map  or picture , the joint product of many
hands, a partial and imperfect copy (yet exact so far as
it extends) of a section of mathematical reality. But the
point which is important to us now is this, that there is
one thing at any rate of which pure geometries are not
pictures, and that is the spatio-temporal reality of the
physical world. It is obvious, surely, that they cannot be,
since earthquakes and eclipses are not mathematical
concepts.

By an abuse of language such as Burkard Polster's
quoted in the previous post, numbers may be said to be
in  the various "universes" of pure mathematics.

The Scientific American  article above is dated May 4, 2011.
See also Thomas Mann on metaphysics in this  journal
on that date.

The Smallest Perfect Number/Universe

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The smallest perfect number,* six, meets
"the smallest perfect universe,"** PG(3,2).

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

  * For the definition of "perfect number," see any introductory
    number-theory text that deals with the history of the subject.
** The phrase "smallest perfect universe" as a name for PG(3,2),
     the projective 3-space over the 2-element Galois field GF(2),
     was coined by math writer Burkard Polster. Cullinane's square
     model of PG(3,2) differs from the earlier tetrahedral model
     discussed by Polster.

Wednesday, September 14, 2016

Bialystock* Story

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* Spelling altered from the Stanford memorial page  
   to reflect the use of the term in this journal.

The Fourth Solomon

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See the three dead Solomons in a Log24 post of May 8, 2016.

See also two posts from July on the day Solomon Feferman died —

A sample of the work of Feferman —

See also a tribute to Feferman respectively .

Arma Mulieremque Cano

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IMAGE- Cover design by Robert Flynn of 'The Armed Vision,' a 1955 Vintage paperback by Stanley Edgar Hyman

For Mrs.  Hyman, see the October Atlantic.

Tuesday, September 13, 2016

Parametrizing the 4×4 Array

Filed under: Uncategorized — Tags: , — m759 @ 10:00 PM

The previous post discussed the parametrization of 
the 4×4 array as a vector 4-space over the 2-element 
Galois field GF(2).

The 4×4 array may also be parametrized by the symbol
0  along with the fifteen 2-subsets of a 6-set, as in Hudson's
1905 classic Kummer's Quartic Surface

Hudson in 1905:

These two ways of parametrizing the 4×4 array — as a finite space
and as an array of 2-element sets —  were related to one another
by Cullinane in 1986 in describing, in connection with the Curtis
"Miracle Octad Generator,"  what turned out to be 15 of Hudson's
1905 "Göpel tetrads":

A recap by Cullinane in 2013:

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

Click images for further details.

Monday, September 12, 2016

The Kummer Lattice

Filed under: Uncategorized — Tags: , — m759 @ 2:00 PM

The previous post quoted Tom Wolfe on Chomsky's use of
the word "array." 

An example of particular interest is the 4×4  array
(whether of dots or of unit squares) —

      .

Some context for the 4×4 array —

The following definition indicates that the 4×4 array, when
suitably coordinatized, underlies the Kummer lattice .

Further background on the Kummer lattice:

Alice Garbagnati and Alessandra Sarti, 
"Kummer Surfaces and K3 surfaces
with $(Z/2Z)^4$ symplectic action." 
To appear in Rocky Mountain J. Math.

The above article is written from the viewpoint of traditional
algebraic geometry. For a less traditional view of the underlying
affine 4-space from finite  geometry, see the website
Finite Geometry of the Square and Cube.

Some further context

"To our knowledge, the relation of the Golay code
to the Kummer lattice is a new observation."

— Anne Taormina and Katrin Wendland,
"The overarching finite symmetry group of
Kummer surfaces in the Mathieu group M24 
"

As noted earlier, Taormina and Wendland seem not to be aware of
R. W. H. T. Hudson's use of the (uncoordinatized*) 4×4 array in his
1905 book Kummer's Quartic Surface.  The array was coordinatized,
i.e. given a "vector space structure," by Cullinane eight years prior to
the cited remarks of Curtis.

* Update of Sept. 14: "Uncoordinatized," but parametrized  by 0 and
the 15 two-subsets of a six-set. See the post of Sept. 13.

The Kingdom of Arrays

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Chomsky and arrays, from Tom Wolfe's 'The Kingdom of Speech'

See also Array  in this journal.

Sunday, September 11, 2016

In Memory of Two Poets

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(C. K. Williams and Crazy Eddie)

Todd Gitlin on C. K. Williams, dead on 9/20, 2015 —

"He is unabashed about soul-search, as here (“Brain,” from Wait :

'I was traversing the maze of my brain;
corridors, corners, strange, narrow caverns, dead ends.
Then all at once my being like this in my brain,
this sense of being  my brain, became unbearable to me.
I began to wonder in dismay if the conclusion
I’d long ago come to that there can be nothing 
that might reasonably be postulated as
the soul apart from body and mind
was entirely valid.' "

Times Square on Crazy Eddie, reportedly dead on Sept. 10, 2016 — 

His prices

Image from http://vassifer.blogs.com/.a/6a00d8341c18b253ef01b8d207a614970c-popup

Night at the Brooklyn Bridge

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"Every Story Has a Deadline"

— Cover of a novel,  Graveland

Annals of Journalism:

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Quivering Antennae

This  journal on that date —

View Image Info

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Saturday, September 10, 2016

Church Search

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Or:  Elegy for Wiener Neustadt 

That town outside Vienna  was rather different in 1924,
the reported year of birth there of a woman whose obituary
appears in this evening's New York Times .

For the woman's later life, see the obituary.
See also a Log24 search for Times Square Church.

From the woman's reported date of death —

Annals of Psychopharmacology

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The New Yorker , issue dated Feb. 9, 2015

"After trying magic mushrooms in Cuernavaca, in 1960,
Leary conceived the Harvard Psilocybin Project, to study
the therapeutic potential of hallucinogens. His involvement
with LSD came a few years later."

Related viewing —

Favicon

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Cocktail* of the Damned**

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For the cocktail, see the following illustration, taken from
The New Yorker  issue dated Sept. 12, 2016.

(The article accompanying the illustration is not  recommended.)

* For more on the concept of "cocktail," search this journal for
   Casablanca + Cocktail

** For more on the concept of "damned," see Wikipedia on
    the French group of writers and mathematicians that calls
    itself Oulipo, and a recent novel by a member of that group.

Friday, September 9, 2016

Notation

Filed under: Uncategorized — Tags: — m759 @ 10:00 PM

The New York Times  interviews Alan Moore

"A version of this article appears in print on September 11, 2016,
on page BR9 of the Sunday Book Review …."

"What genres do you prefer? And which do you avoid?"

"To be honest, having worked in genre for so long, I’m happiest
when I’m outside it altogether, or perhaps more accurately,
when I can conjure multiple genres all at once, in accordance
with my theory (now available, I believe, as a greeting card and
fridge magnet) that human life as we experience it is a
simultaneous multiplicity of genres. I put it much more elegantly
on the magnet."

Welcome to the Jungle*

Filed under: Uncategorized — Tags: — m759 @ 9:11 PM

( Sequel to the post of 12 AM Wednesday )

The following highlighted phrase was found, with a different spelling,
in The New Yorker  issue dated Sept. 12, 2016.

The article in which the phrase was embedded is not  recommended.
Neither is the book (which the foolhardy explorer may easily find)
from which the above snippet was taken.

* That of Fields of the Lord .

Ein Kampf

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(Continued )

A 1984 master's thesis (PDF, 8+ MB) —

"Language, Linguistics, and Philosophy:
A Comparison of the Work of Roman Jakobson
and the Later Wittgenstein, with Some Attention
to the Philosophy of Charles Saunders Peirce,"
by Miles Spencer Kimball.

Two pages from that thesis —

There IS such a thing …

Filed under: Uncategorized — m759 @ 12:00 PM

http://gregegan.customer.netspace.net.au/APPLETS/29/NonSimple4E.gif

See also Dueling Formulas,  Sinner or Saint?,  and The Zero Obit.

Thursday, September 8, 2016

Hope of Heaven, Oslo Style

Filed under: Uncategorized — Tags: — m759 @ 11:00 PM

The previous post deals with the theory, now becoming widely known,
that the musical "Grease" is really about Sandy's dying dream of heaven.

Another such dream in Oslo, described by the Vigeland Museum —

The Monolith

"The Monolith was carved from one single granite block, hence the name (mono: one, litho: stone). Whereas the melancholy theme in the fountain is the eternal life cycle, the column gives room to a totally different interpretation: Man's longing and yearning for the spiritual and divine. Is the column to be understood as man's resurrection? The people are drawn towards heaven, not only characterised by sadness and controlled despair, but also delight and hope, next to a feeling of togetherness, carefully holding one another tight in this strange sense of salvation."

I prefer a different monolith.

Afternoon Delight

Filed under: Uncategorized — Tags: — m759 @ 3:26 PM

The notation "O" in the previous post suggests
a review of the new "Grease" theory in light of
a phrase from a May 2014 Oslo art exhibition

"a desperate sense of imagined community."

Illustration (click for a video) —

"I'll have what she's having."

See as well Olivia Newton-John in this journal as the Muse of Dance

June 29 Meditation

Filed under: Uncategorized — m759 @ 6:29 AM

A Log24 noon post of June 29, 2016, The Mystery of O 
links to the following passage —

This use of "O" is not a notation I recommend.

Wednesday, September 7, 2016

Strike a Pose

Filed under: Uncategorized — m759 @ 11:40 PM

Online Vogue  today —

"For the first time, an exhibition at the Kunsthal Rotterdam
'Peter Lindbergh: A Different Vision on Fashion Photography'—
will offer a robust survey of the photographer’s opus."

I find Lindbergh's early work as "Sultan" more interesting.

Grammar and Patterns

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"May, / The months [sic ] of understanding" — Wallace Stevens

Saturday, May 21, 2016

Grammar

Filed under: Uncategorized — m759 @ 12:00 PM 

Related material 

The Lindbergh Manifesto and The Leibniz Medal.

 

"If pure mathematics does spring from sub-conscious intuitions— already deep-structured as are grammatical patterns in the transformational-generative theory of language?— if the algebraic operation arises from wholly internalized pattern-weaving, how then can it, at so many points, mesh with, correspond to, the material forms of the world?"

— Steiner, George. Grammars of Creation
(Gifford Lectures, 1990). (Kindle Locations 2494-2496).
Open Road Media. Kindle Edition. 

Good question.

See Bedtime Story (Sept. 1, 2016).

Related Reading…

Filed under: Uncategorized — m759 @ 12:00 PM

… For those taken aback by the tone of midnight's report
on the death of a 1960's counterculture figure.

See Didion's view of the counterculture in her classic
Slouching Towards Bethlehem .

A search in this journal for Didion + Nihilism yields

From Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, p. 117:

… in 'The Pediment of Appearance,' a slight narrative poem in Transport to Summer 

 A group of young men enter some woods 'Hunting for the great ornament, The pediment of appearance.' Though moving through the natural world, the young men seek the artificial, or pure form, believing that in discovering this pediment, this distillation of the real, they will also discover the 'savage transparence,' the rude source of human life. In Stevens's world, such a search is futile, since it is only through observing nature that one reaches beyond it to pure form. As if to demonstrate the degree to which the young men's search is misaligned, Stevens says of them that 'they go crying/The world is myself, life is myself,' believing that what surrounds them is immaterial. Such a proclamation is a cardinal violation of Stevens's principles of the imagination.

Elegance

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Detail from the cover of the 1967 first issue of London's OZ magazine —

Other OZ news in Tuesday evening's online New York Times

"Well, I tried to make it Sunday …" — America lyrics

Tuesday, September 6, 2016

Ethno-Aesthetics

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"Lévi-Strauss is an infatuated aesthetician."

 — Boris Wiseman, Lévi-Strauss, Anthropology and Aesthetics ,
     Cambridge University Press, 2007, p. 27

Last night's link from the Piper Laurie image leads to …

IMAGE- Stella Octangula and Claude Levi-Strauss

Related theoretical material — See Hudson + Tetrahedra.

Midnight Special

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Monday, September 5, 2016

Sister Golden Hair

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In memory of the founder of the Eagle Forum 

Stevens at the Sorbonne

Filed under: Uncategorized — m759 @ 9:00 PM

The previous post suggests a Log24 search for
Stevens + Sorbonne.  This yields

Michael Bryson in an essay on Stevens’s
Notes Toward a Supreme Fiction,”

The Quest for the Fiction of the Absolute:

Canto nine considers the movement of the poem between the particular and the general, the immanent and the transcendent: “The poem goes from the poet’s gibberish to / The gibberish of the vulgate and back again. / Does it move to and fro or is it of both / At once?” The poet, the creator-figure, the shadowy god-figure, is elided, evading us, “as in a senseless element.”  The poet seeks to find the transcendent in the immanent, the general in the particular, trying “by a peculiar speech to speak / The peculiar potency of the general.” In playing on the senses of “peculiar” as particular  and strange  or uncanny , these lines play on the mystical relation of one and many, of concrete and abstract.

"The poem goes from the poet’s gibberish to 
The gibberish of the vulgate and back again. 
Does it move to and fro or is it of both 
At once?”

— Stevens, “Notes Toward a Supreme Fiction" (1942)

Par exemple , the previous post's title:  "Space Case."

Space Case

Filed under: Uncategorized — m759 @ 2:00 PM

The New York Times  yesterday evening —

Michel Butor dies at 89

Butor reportedly died on August 24.

This journal on that date —

From Butor's obituary —

"He studied philosophy at the Sorbonne
under the phenomenologist
Gaston Bachelard, writing a thesis on
mathematics and the idea of necessity."

"In 2013 the Académie Française awarded
Mr. Butor its Grand Prix for his life’s work.

Explaining his philosophy in an interview
with the critic and television producer
Georges Charbonnier in 1965, Mr. Butor said,
'Every written word is a victory over death.' "

A search for Bachelard in this journal yields remarks
related to Bachelard's Poetics of Space  and to the above
phrase by Wallace Stevens.

Structural Study

Filed under: Uncategorized — m759 @ 12:00 AM

The Lévi-Strauss "canonic formula" of myth in its original 1955 context,
described as that of permutation groups 

The 1955 Levi-Strauss 'canonic formula' in its original context of permutation groups

Related material in this  journal —

Dueling Formulas and Symmetry.

Sunday, September 4, 2016

Piled High and Deep

Filed under: Uncategorized — m759 @ 5:09 PM

Quoted here at 10 PM Pacific Time on Friday night —

"If I should die before I wake,
All my bone and sinew take
Put me in the compost pile
To decompose me for a while . . . ."

— Poem by Lee Hays

Saturday, September 3, 2016

Phenomenology*

Filed under: Uncategorized — m759 @ 8:30 PM

For the Church of Synchronology, a correction of
a recent New York Times  obituary by Daniel Lewis —

Actor Gene Wilder died early Monday, Aug. 29, not, as 
earlier reported, late Sunday, Aug. 28.

NY Times correction: Gene Wilder died early on Mon. Aug. 29, not on Sun. Aug. 28.

See also the last Log24 post of Sunday night, Aug. 28 (Angles of Vision)
and the first post of Monday morning, Aug. 29, 2016 (Roll Credits).

* For some reading related to the title, see an Evil Genius page
by the late David Lavery mentioning Colin Wilson's novel
The Mind Parasites .  Great entertainment for the tinfoil-hat crowd —

"More and more I feel like the narrator of Colin Wilson's 
The Mind Parasites , a phenomenologist who, along with
a dedicated group of compatriots, struggles clandestinely
to overthrow alien invaders that have secretly
taken captive the 'deep structure' of the human mind." 

CP is for Consolation Prize

Filed under: Uncategorized — m759 @ 2:10 PM

CERN COURIER  May 28, 1999:

In hot pursuit of CP violation

"CP was a consolation prize for physicists.
At least it seemed so until 1964." 

"James W. Cronin, who shared the Nobel Prize in physics
for discovering a startling breakdown in what was assumed
to be the immutable symmetry of physical law, thereby
helping to explain the behavior and evolution of the universe
as a whole, died Aug. 25 in St. Paul, Minn. He was 84.

Dr. Cronin’s death was announced by the University of Chicago,
where he was a professor emeritus of physics as well as of
astronomy and astrophysics. No cause was reported."

Martin Weil in The Washington Post , August 28, 2016

Resplendent Triviality

Filed under: Uncategorized — m759 @ 11:30 AM

See The Echo in Plato's Cave and
a four-color decomposition theorem.

An illustration —

A four-color decomposition theorem, illustrated

Decomposition Song

Filed under: Uncategorized — m759 @ 1:00 AM

In Dead Earnest

(Poem by Lee Hays, performed by Pete Seeger)

If I should die before I wake,
All my bone and sinew take
Put me in the compost pile
To decompose me for a while . . . .

For a different sort of decomposition, see the previous post.

Friday, September 2, 2016

Heuresis

Filed under: Uncategorized — m759 @ 7:22 PM

"Now a little trivial heuresis is in order."

The late Waclaw Szymanski on p. 279 of
"Decompositions of operator-valued functions 
in Hilbert spaces
" (Studia Mathematica  50.3
(1974): 265-280.)

See "A Talisman for Finkelstein," from midnight
on the reported date of Szymanski's death.  That post
refers to "the correspondence in the previous post
between Figures A and B" as does this  post

Raiders of the Lost Birthday

Filed under: Uncategorized — m759 @ 10:00 AM

Some images from the posts of last July 13
(Harrison Ford's birthday) may serve as funeral
ornaments for the late Prof. David Lavery.

IMAGE- Massimo Vignelli, his wife Lella, and cube

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

See as well posts on "Silent Snow" and "Starlight Like Intuition."

Thursday, September 1, 2016

Requiem for a Professor

Filed under: Uncategorized — m759 @ 2:00 PM

The professor of the title is David Lavery,
who reportedly died Tuesday, August 30.

Lavery is the author of, among other things, the website
Evil Genius, which contains notes toward a fiction based
on a concept by Descartes.

In memoriam

Where Entertainment Is God

Filed under: Uncategorized — m759 @ 12:00 PM

Continues .

The Guardian 's summary today of the new film "Arrival" —

"I have been agnostic about this kind of movie recently,
after the overwrought disappointments of Christopher
Nolan’s Interstellar and Jeff Nichols’s Midnight Special.
But Villeneuve’s Arrival is both heartfelt and very entertaining."

Peter Bradshaw in The Guardian  today

As is Amy's.

Bedtime Story

Filed under: Uncategorized — m759 @ 12:00 AM

For midnight retirees —

See also Leibniz medal in this journal.

Wednesday, August 31, 2016

The Lost Crucible

Filed under: Uncategorized — m759 @ 4:56 PM

Yesterday's post The Eightfold Cube in Oslo suggests a review of
posts that mention The Lost Crucible.

(The crucible in question is from a book by Katherine Neville, 
The Eight . Any connection with Arthur Miller's play  "The Crucible" 
is purely coincidental.)

In Memory of a Great Engineer…

Filed under: Uncategorized — m759 @ 3:33 PM

Big Birds

“Relax,” Said the Night Man

Filed under: Uncategorized — m759 @ 2:56 AM

Tuesday, August 30, 2016

The Mystic Egress

Filed under: Uncategorized — Tags: — m759 @ 8:16 PM

A detail from the previous post

"Last thing I remember,
 I was running for the door . . . ."

— Eagles, "Hotel California"

The Eightfold Cube in Oslo

Filed under: Uncategorized — Tags: — m759 @ 8:04 PM

A KUNSTforum.as article online today (translation by Google) —

The eightfold cube at the Vigeland Museum in Oslo

Update of Sept. 7, 2016: The corrections have been made,
except for the misspelling "Cullinan," which was caused by 
Google translation, not by KUNSTforum.

Shema, Faust

Filed under: Uncategorized — m759 @ 1:00 PM

"The quotes create the illusion
that the dead are still speaking
to the reader. Faust writes about
the efforts of spiritualists to believe
in an afterlife for their slain kin, but
she’s the one summoning spirits."

April Yee, Harvard Crimson
     staff writer, February 7, 2008

"0! = 1" 

Quine's Shema

See also yesterday's Into the Woods 
and posts now tagged Willow and Mandorla.

Monday, August 29, 2016

Quote

Filed under: Uncategorized — m759 @ 5:55 PM

This afternoon's online New York Times  on the late
Gene Wilder, who reportedly died Sunday night —

"Mr. Wilder’s rule for comedy was simple:
Don’t try to make it funny; try to make it real.
'I’m an actor, not a clown,' he said more than once."

— Daniel Lewis

Update of Sept. 3, 2016 —

Into the Woods

Filed under: Uncategorized — m759 @ 10:19 AM

This just in:

Headline- 'Clown tries to lure kids into woods'

See also Cinderella in yesterday's post "As" —

The James Lapine version —

Roll Credits

Filed under: Uncategorized — m759 @ 9:29 AM

Click images for some backstories.

  

  

    

Related material: The Wet Hot Summa.

Sunday, August 28, 2016

Angles of Vision

Filed under: Uncategorized — Tags: — m759 @ 10:00 PM

IMAGE- Review of a book on Stevens's poetry, 'The Dome and the Rock,' with the reviewer's phrase 'angles of vision.'

See also Desargues in this journal.

As

Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

Saturday, August 27, 2016

Folk Notation

Filed under: Uncategorized — m759 @ 2:01 PM

See the Chautauqua Season post of June 25
and a search for Notation  in this journal.

See as well the previous post and Bullshit Studies .

Folk Answer

Filed under: Uncategorized — m759 @ 1:00 PM

(A sequel to "Folk Question ," the previous post)

Midnight Bingo

It All Adds Up.

See also Alexandra Bellow's "Flashbacks of a Mathematical Life
in the September 2016 Notices of the American Mathematical Society .

Folk Question

Filed under: Uncategorized — m759 @ 12:25 PM

A figure from Dec. 27, 2003

Quoted here on that date

“If little else, the brain is an educational toy."

— Tom Robbins, Even Cowgirls Get the Blues

"What else did you get for Christmas?"

— Folk question

Incarnation

Filed under: Uncategorized — m759 @ 1:06 AM

See a search for the title in this journal.

Related material:

The incarnation of three permutations,
named A, B, and C,
on the 7-set of digits {1, 2, 3, 4, 5, 6, 7}
as  permutations on the eightfold cube.

See Minimal ABC Art, a post of August 22, 2016.

Grid Systems

Filed under: Uncategorized — m759 @ 12:25 AM

See also Grid + System in this  journal.

Inner, Outer

Filed under: Uncategorized — m759 @ 12:00 AM

See also a post of July 16, 2016.

Friday, August 26, 2016

Structure a Set, Set a Structure

Filed under: Uncategorized — m759 @ 11:32 PM

http://www.log24.com/log/pix11/110219-SquareRootQuaternion.jpg

A star figure and the Galois quaternion.

The square root of the former is the latter.

See also a search in this journal for "Set a Structure."

SPECTER

Filed under: Uncategorized — m759 @ 1:29 PM

Who you gonna call?

Wolfe vs. Chomsky

Filed under: Uncategorized — m759 @ 12:00 AM

1.  Tom Wolfe has a new book on Chomsky, "The Kingdom of Speech."

2.  This suggests a review of a post of Aug. 11, 2014, Syntactic/Symplectic.

To paraphrase Wittgenstein, sentence 1 above is about "correlating in real life"
(cf. Crooked House and Wolfe's From Bauhaus to Our House ), and may be 
compared to sentence 2 above, which links to a sort of "correlating in
mathematics" that is a particular example of the more general sort of
mathematical correlating mentioned by Wittgenstein in 1939.

Thursday, August 25, 2016

Crooked House

Filed under: Uncategorized — m759 @ 5:06 PM

Continued.

The previous post dealt with a talk by Cora Diamond
on April 3, 2015, at 32 Vassar St., Cambridge, Mass.

The MIT building at that address suggests a review
of the phrase "Crooked House" in this journal.

Diamond on the Map

Filed under: Uncategorized — m759 @ 4:38 PM

A check of Cora Diamond, editor of the 1976 Wittgenstein
book shown in the previous post, yields …

The date of the above talk was April 3, 2015.

For this journal on that date,  see a link, "by Steven H. Cullinane,"
in yesterday's post Core Statements.

Language Game:

Filed under: Uncategorized — m759 @ 4:00 PM

A Counting-Pattern

The Man Who Knew Zero

Filed under: Uncategorized — m759 @ 2:00 AM

(Continued from April 29, Uma Thurman's birthday )

April 29, 2016, was the opening date for a film
about Ramanujan, "The Man Who Knew Infinity,"
as well as Uma Thurman's birthday. (Uma is
named for a Hindu goddess.)

Wednesday, August 24, 2016

Core Statements

Filed under: Uncategorized — m759 @ 1:06 PM

"That in which space itself is contained" — Wallace Stevens

An image by Steven H. Cullinane from April 1, 2013:

The large Desargues configuration of Euclidean 3-space can be 
mapped canonically to the 4×4 square of Galois geometry —

'Desargues via Rosenhain'- April 1, 2013- The large Desargues configuration mapped canonically to the 4x4 square

On an Auckland University of Technology thesis by Kate Cullinane —
On Kate Cullinane's book 'Sample Copy' - 'The core statement of this work...'
The thesis reportedly won an Art Directors Club award on April 5, 2013.

Tuesday, August 23, 2016

Web Day

Filed under: Uncategorized — m759 @ 12:00 PM

Fritz Leiber's 'Spider' symbol

Today is said to be the 25th anniversary of the
opening to the public of the World Wide Web.
Related material:  Click on the above icon for
posts mentioning "Spider Woman."

Happy Birthday

Filed under: Uncategorized — m759 @ 11:30 AM

Puritan Contemplation:

Filed under: Uncategorized — m759 @ 11:00 AM
 

For an authority on Japanese art —

Text Tiles*

Res ipsa loquitur.

Compare to and contrast with 

Remarks on art, contemplation. and Puritanism 
from a recent Princeton University Press book —

"Lucy Lippard distinguished Asian art
(ego-less and contemplative)
from New York Minimalism
(moralistic and puritanical)."
Mathematics and Art ,
     Princeton U. Press, Fall 2015

* Update of Aug. 24, 2016 — See also Nov. 2, 2014.

Monday, August 22, 2016

Minimal ABC Art

Filed under: Uncategorized — m759 @ 7:00 PM

Two portions of a post from Guy Fawkes Day 2015

 

Other art for Guy Fawkes Day

Cloak and Dagger

Igor Strikes Again

Filed under: Uncategorized — m759 @ 12:45 PM

For the Igor of the title, see the previous post.

Sunday, August 21, 2016

Imperium Emporium

Filed under: Uncategorized — m759 @ 11:30 PM

Design Cube 2x2x2 for demonstrating Galois geometry

Harry Potter, star of the new film
"Imperium," with lightning-bolt
mark on his forehead

Big Meeting

Filed under: Uncategorized — m759 @ 10:00 PM

Grosses Treffen

 

See also Log24 on the above Berlin date — April 16, 2016 —

For some historical background, see
the post ABC Art of November 8, 2015.

Review

Filed under: Uncategorized — m759 @ 2:00 PM

Fugue No. 21
B-Flat Major
Well-Tempered Clavier Book II
Johann Sebastian Bach
by Timothy A. Smith

Theme and Variations
by Steven H. Cullinane

The beginning of each —

Cullinane, 'Theme and Variations'

Some context —

The diamond theorem

Saturday, August 20, 2016

Stone Cold Continued*

Filed under: Uncategorized — m759 @ 10:31 PM

See also an obit for Robert Stone by Ashley Southall 
rewritten by Bruce Weber.

* The title refers to a Saturday night post of 11:29 PM ET,
   "Stone Cold Open," from January 10, 2015.

Photo of Robert Stone from New Republic

Friday, August 19, 2016

Ex Machina

Filed under: Uncategorized — Tags: — m759 @ 11:00 PM

For the Symmetry Dancers of CERN

1947 Opening

Filed under: Uncategorized — Tags: — m759 @ 1:06 PM
 
1. e4  See also Geometry of the I Ching
and "Miracle on 34th Street."

Princeton University Press in 1947

Filed under: Uncategorized — Tags: — m759 @ 11:17 AM

From a review, in the context of Hollywood, of a Princeton
University Press book on William Blake from 1947 —

From Halloween 2013

Filed under: Uncategorized — Tags: — m759 @ 11:00 AM

The orange and black Princeton colors in the previous post
suggest a review of Halloween 2013 —

By the Numbers

Filed under: Uncategorized — Tags: — m759 @ 10:10 AM

Popup on Kellogg's Product 19  webpage —

Operation Outbrain

Filed under: Uncategorized — Tags: — m759 @ 12:24 AM

The above clickbait was "Recommended by Outbrain."  The photo
shown does not appear on the site linked to. Background on the photo —

See also Brainstorm in this  journal.

Thursday, August 18, 2016

An Oxford Education:

Filed under: Uncategorized — m759 @ 3:33 PM

Or, "An Education Continued"

This journal on May 29, 2010, had a followup to
the previous day's post "Multispeech for Oxford"—

An Oxford workshop, "Quantum Physics and Logic," began
on the date of the above Log24 "Packed" post, May 29, 2010.
The first talk was by John Baez —

Baez's notes on his talk begin
"Duality has many manifestations in logic and physics." —

'Duality has many manifestations in logic and physics.'- John Baez

Yes, it does.

Hung Like a Hoss

Filed under: Uncategorized — m759 @ 1:45 PM

"Brutal choreography and dramatic intelligence"

—  Phrase from the subtitle of a review
     in The New Yorker , issue dated Aug. 22, 2016

A Midrash for Edmonton  

Choreography —  Sister Act

Judy Carne and Hoss in NBC's "Bonanza,"  a nemesis
of CBS Sunday programming.

IntelligenceThese Little Town Blues

Carey Mulligan and Michael Fassbender in "Shame" (2011).

Wednesday, August 17, 2016

Humanitarian Award

Filed under: Uncategorized — m759 @ 8:22 PM

The New York Times  on a film director who reportedly died today

"Mr. Hiller was born on Nov. 13, 1923, in Edmonton, Alberta,
one of three children of Harry Hiller and the former Rose Garfin,
Jewish immigrants from Poland. His father ran a secondhand
musical instrument store in Edmonton.

His first contact with show business came through his parents,
who formed a community theater in Edmonton to present plays
in Yiddish. He helped his parents build and paint sets, and made
his acting debut at age 11."

Other news from Edmonton —

Tuesday, August 16, 2016

Midnight Narrative

Filed under: Uncategorized — m759 @ 12:00 AM

The images in the previous post do not lend themselves
to any straightforward narrative. Two portions of the
large image search are, however, suggestive —

 
Boulez and Boole      and

 

Cross and Boolean lattice.

The improvised cross in the second pair of images
is perhaps being wielded to counteract the
Boole of the first pair of images. See the heading
of the webpage that is the source of the lattice
diagram toward which the cross is directed —

Update of 10 am on August 16, 2016 —

See also Atiyah on the theology of 
(Boolean) algebra vs. (Galois) geometry:

Monday, August 15, 2016

Google as Galatea …

Filed under: Uncategorized — m759 @ 4:00 PM

Today Reviews the Concept of "Göpel Inscape ."

Shown below is a condensed version of
Google-as-Galatea's full 11.7 MB image search
based on the two words Göpel inscape .​
 

Sunday, August 14, 2016

The Boole-Galois Games

Filed under: Uncategorized — m759 @ 5:01 PM

Continued from earlier posts on Boole vs. Galois.

From a Google image search today for "Galois Boole." 
Click the image to enlarge it.

Norwegian Meditation

Filed under: Uncategorized — m759 @ 11:00 AM

The previous post dealt with a death on August 6.

On that date nine years earlier —

"Atle Selberg, who had a major influence in mathematics
and especially in analytic number theory during the 20th century,
died on August 6 [2007]. Born on June 14, 1917, in Langesund,
Norway, he received his Ph.D. in 1943 from the University of Oslo. . . ."

— American Mathematical Society, 2007

See also Selberg in this  journal —

Click image for the full  version of the above post
and some remarks from the date of Selberg's death.

Saturday, August 13, 2016

Death on August 6

Filed under: Uncategorized — m759 @ 10:00 PM

See this evening's online New York Times  for
a notable death on August 6, 2016.

Related material:  This journal on that date.

Summer Thrills

Filed under: Uncategorized — m759 @ 4:29 PM

Below: The NY Times "Summer Thrills" Sunday Book Review
of July 31, 2016.  Click image to enlarge.

Verrückt genug? 

Midnight Special

Filed under: Uncategorized — m759 @ 12:00 AM

The previous post suggests a review of posts tagged Wheeler in this journal.

See also a post from the date of Wheeler's death, The Echo in Plato's Cave.

Friday, August 12, 2016

Dustbucket Physics

Filed under: Uncategorized — m759 @ 3:00 PM

Peter Galison, a Harvard professor, is a defender of
the Vienna Circle and the religion of Scientism.

From Galison's “Structure of Crystal, Bucket of Dust,” in
Circles Disturbed: The Interplay of Mathematics and Narrative ,
edited by Apostolos Doxiadis and Barry Mazur, pp. 52-78 
(Princeton: Princeton U. Press, 2012) 

Galison's final paragraph —

"Perhaps, then, it should not surprise us too much if,
as Wheeler approaches the beginning-end of all things,
there is a bucket of Borelian dust. Out of this filth,
through the proposition machine of quantum mechanics
comes pregeometry; pregeometry makes geometry;
geometry gives rise to matter and the physical laws
and constants of the universe. At once close to and far
from the crystalline story that Bourbaki invoked,
Wheeler’s genesis puts one in mind of Genesis 3:19:
'In the sweat of thy face shalt thou eat bread, till thou
return unto the ground; for out of it wast thou taken:
for dust thou art, and unto dust shalt thou return.' "

For fans of Scientism who prefer more colorful narratives —

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