For a less artificial approach . . . See "Aion" in this journal.
Related reading: Halloween night's "Trick and Treat."
Friday, November 8, 2024
Tuesday, July 23, 2024
“You say AEON, I say Aion” . . .
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Sunday, March 3, 2024
Saturday, February 1, 2020
Varda at the Brattle, or “Aion: The Prize”
Today's Brattle Theatre films celebrate the work of Agnès Varda.
A search for Varda in this journal in turn suggests a search for
Aion-related posts.
Within that search, the post "Icons" (Sept. 16, 2011) is not unrelated
to yesterday's post "Notes for a Blue Guitar."
All this is, of course, mere dreamlogic .
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Friday, April 25, 2025
Imago Review: “The Thing and I” Continues.
Tuesday, June 15, 2010
|
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Tuesday, April 8, 2025
New URL for Pullman
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Tuesday, November 19, 2024
A Mosaic for Megiddo
The above image, from posts tagged Aion Art, was suggested by a
Jerusalem Post article dated April 1, 2022… quod vide. The pattern
shown is known to quilters as "Tents of Armageddon."
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Tuesday, October 22, 2024
Monday, August 12, 2024
Annals of Philosophy: The X Framework
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Monday, January 29, 2024
Self as Imago Dei: Hofstadter vs. Valéry
|
Google search result: Saint Anselm College https://www.anselm.edu › Documents › Brown by M Brown · 2014 · Cited by 14 — Thomas insists that the image of God exists most perfectly in the acts of the soul, for the soul is that which is most perfect in us and so best images God, and … 11 pages |
For a Douglas Hofstadter version of the Imago Dei , see the
"Gödel, Escher, Bach" illustration in the Jan. 15 screenshot below —
Tuesday, June 15, 2010
|
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Friday, September 23, 2022
Raiders of the Lost Archive … The Jung Genizah
Jung’s four-diamond figure from
Aion — a symbol of the self –
For those who prefer the Ed Wood approach —
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Wednesday, April 1, 2020
Books at Perlego
" How small is the evil that may be safely ignored…? "
— "QBass" at Wikipedia, April 1, 2020
Good question.
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Monday, February 17, 2020
Universal Beauty
Remarks by Rosalind Krauss in the previous post suggest a look at …
Then there is the universal beauty of oneself :
Jung's Four-Diamond Figure from Aion—
This figure was devised by Jung
to represent the Self.
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Monday, July 1, 2019
Inside the Exploded Cube
Metaphysical conceit | literature | Britannica.com
|
This post's title refers to a metaphysical conceit
in the previous post, Desperately Seeking Clarity.
Related material —
The source of the above mystical octahedron —
See also Jung's Imago Dei in this journal.
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Sunday, March 31, 2019
Self and Illusion
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Thursday, June 23, 2016
Raiders of the Lost Code
From a web page —
Breaking the Code of the Archetypal Self:
An Introductory Overview of the Research Discoveries
Leading to Neo-Jungian Structural Psychoanalysis
Dr. Moore will introduce his research and discoveries
with regard to the deep structures of the Self.
Tracing the foundations in the tradition of Jung’s
affirmation of the collective unconscious, Moore
will present his “decoding of the Diamond Body,”
a mapping of the deep structures of the Great Code
of the psyche. . . .
From the same web site —
Googling "Jung" + "Diamond Body" shows that
Moore's terminology differs from Jung's.
The octahedron that Moore apparently associates
with his "diamond body" was discussed by Jung
in a different context. See selections from Ch. 14
of Jung's Aion : "The Structure and Dynamics of the Self."
Dr. Moore appears as well in the murder-suicide story
of last night's 11:18 PM ET post.
For the relevance of Aion to "deep structures,"
see Jung + Diamond + Structure in this journal
and, more specifically, "Deep Structure."
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Thursday, April 21, 2016
The Alchemist’s Chessboard
Material related to the previous post and to Alfred Bester's
1981 followup to The Stars My Destination titled The Deceivers —
|
The Lapis Philosophorum :
"The lapis was thought of as a unity and therefore often stands for the prima materia in general."
"Its discoverer was of the opinion that he had produced the equivalent of the primordial protomatter which exploded into the Universe." And from Bester's The Deceivers : Meta Physics "'… Think of a match. You've got a chemical head of potash, antimony, and stuff, full of energy waiting to be released. Friction does it. But when Meta excites and releases energy, it's like a stick of dynamite compared to a match. It's the chess legend for real.' 'I don't know it.' 'Oh, the story goes that a philosopher invented chess for the amusement of an Indian rajah. The king was so delighted that he told the inventor to name his reward and he'd get it, no matter what. The philosopher asked that one grain of rice be placed on the first square of the chessboard, two on the second, four on the third, and so on to the sixty-fourth.' 'That doesn't sound like much.'" Related material : |
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Saturday, May 19, 2012
But Seriously…
Here is a link to a copy of the home page of a Turkish
author quoted here on May 4, 2012… in honor of
archaeologist Crawford Greenewalt Jr., who reportedly
died on that date. Greenewalt was an expert on the
ancient city of Sardis, in what is now western Turkey.
The May 4 quote was about
"Heraclitus’s Aion and His Transformations."
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Friday, May 4, 2012
That Krell Lab (continued)
“… Which makes it a gilt-edged priority that one of us
gets into that Krell lab and takes that brain boost.”
— American adaptation of Shakespeare's Tempest , 1956
From "The Onto-theological Origin of Play:
Heraclitus and Plato," by Yücel Dursun, in
Lingua ac Communitas Vol 17 (October 2007)—
"Heraclitus’s Aion and His Transformations
The saying is as follows:
αἰὼν παῖς ἐστι παίζων, πεττεύων·
παιδὸς ἡ βασιληίη
(Aion is a child playing draughts;
the kingship is the child’s)
(Krell 1972: 64).*
* KRELL, David Farrell.
“Towards an Ontology of Play:
Eugen Fink’s Notion of Spiel,”
Research in Phenomemology ,
2, 1972: 63-93.
This is the translation of the fragment in Greek by Krell.
There are many versions of the translation of the fragment….."
See also Child's Play and Froebel's Magic Box.
Update of May 5— For some background
from the date May 4 seven years ago, see
The Fano Plane Revisualized.
For some background on the word "aion,"
see that word in this journal.
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Friday, September 16, 2011
Icons
Background: Jung's Aion in this journal discusses this
figure from finite geometry's diamond theorem—
Fig. A
This resembles a figure that served Jung
as a schema of the Self—
Fig. B
Fig. A, with color variations, serves as the core
of many automatically generated Identicons —
a different sort of self-symbol.
Examples from Sept. 6 at MathOverflow—
A user wanting to custom-tailor his self-symbol should consider
the following from the identicon service Gravatar—
1. User Submissions. "… you hereby do and shall grant to Automattic a worldwide, perpetual, irrevocable, royalty-free and fully-paid, transferable (including rights to sublicense) right to perform the Services (e.g., to use, modify, reproduce, distribute, prepare derivative works of, display, perform, and otherwise fully exercise and exploit all intellectual property, publicity, and moral rights with respect to any User Submissions, and to allow others to do so)."
Sounds rather Faustian.
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Saturday, July 10, 2010
Child’s Play
… twó flocks, twó folds—black, white; ' right, wrong; reckon but, reck but, mind
But thése two; wáre of a wórld where bút these ' twó tell, each off the óther….
— "Spelt from Sibyl's Leaves," by Gerard Manley Hopkins
Related material:
Max Black — "Beginners are taught that a set having three members is a single thing, wholly constituted by its members but distinct from them. After this, the theological doctrine of the Trinity as 'three in one' should be child's play." ("The Elusiveness of Sets," Review of Metaphysics, June 1971, p. 615– as quoted by Bill Vallicella)
Edward Gibbon, Decline and Fall of the Roman Empire, Chapter XXI —
Gibbon, discussing the theology of the Trinity, defines perichoresis as
“… the internal connection and spiritual penetration which indissolubly unites the divine persons59 ….
59 … The
or ‘circumincessio,’ is perhaps the deepest and darkest corner of the whole theological abyss.”
”Whoever fights monsters should see to it that in the process he does not become a monster. And when you look long into an abyss, the abyss also looks into you.”
– Friedrich Nietzsche, Beyond Good and Evil, section 146, translated by Walter Kaufmann
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Saturday, June 19, 2010
Imago Creationis
In the above view, four of the tesseract's 16
vertices are overlaid by other vertices.
For views that are more complete and
moveable, see Smith's tesseract page.
Four-Part Tesseract Divisions—
The above figure shows how four-part partitions
of the 16 vertices of a tesseract in an infinite
Euclidean space are related to four-part partitions
of the 16 points in a finite Galois space
|
Euclidean spaces versus Galois spaces in a larger context— Infinite versus Finite The central aim of Western religion —
"Each of us has something to offer the Creator...
the bridging of
masculine and feminine,
life and death.
It's redemption.... nothing else matters."
-- Martha Cooley in The Archivist (1998)
The central aim of Western philosophy —
Dualities of Pythagoras
as reconstructed by Aristotle:
Limited Unlimited
Odd Even
Male Female
Light Dark
Straight Curved
... and so on ....
"Of these dualities, the first is the most important; all the others may be seen as different aspects of this fundamental dichotomy. To establish a rational and consistent relationship between the limited [man, etc.] and the unlimited [the cosmos, etc.] is… the central aim of all Western philosophy." |
Another picture related to philosophy and religion—
Jung's Four-Diamond Figure from Aion—
This figure was devised by Jung
to represent the Self. Compare the
remarks of Paul Valéry on the Self—
|
Flight from Eden: The Origins of Modern Literary Criticism and Theory, by Steven Cassedy, U. of California Press, 1990, pages 156-157—
Valéry saw the mind as essentially a relational system whose operation he attempted to describe in the language of group mathematics. "Every act of understanding is based on a group," he says (C, 1:331). "My specialty— reducing everything to the study of a system closed on itself and finite" (C, 19: 645). The transformation model came into play, too. At each moment of mental life the mind is like a group, or relational system, but since mental life is continuous over time, one "group" undergoes a "transformation" and becomes a different group in the next moment. If the mind is constantly being transformed, how do we account for the continuity of the self? Simple; by invoking the notion of the invariant. And so we find passages like this one: "The S[elf] is invariant, origin, locus or field, it's a functional property of consciousness" (C, 15:170 [2:315]). Just as in transformational geometry, something remains fixed in all the projective transformations of the mind's momentary systems, and that something is the Self (le Moi, or just M, as Valéry notates it so that it will look like an algebraic variable). Transformation theory is all over the place. "Mathematical science… reduced to algebra, that is, to the analysis of the transformations of a purely differential being made up of homogeneous elements, is the most faithful document of the properties of grouping, disjunction, and variation in the mind" (O, 1:36). "Psychology is a theory of transformations, we just need to isolate the invariants and the groups" (C, 1:915). "Man is a system that transforms itself" (C, 2:896). O Paul Valéry, Oeuvres (Paris: Pléiade, 1957-60) C Valéry, Cahiers, 29 vols. (Paris: Centre National de le Recherche Scientifique, 1957-61) |
Note also the remarks of George David Birkhoff at Rice University
in 1940 (pdf) on Galois's theory of groups and the related
"theory of ambiguity" in Galois's testamentary letter—
|
… metaphysical reasoning always relies on the Principle of Sufficient Reason, and… the true meaning of this Principle is to be found in the “Theory of Ambiguity” and in the associated mathematical “Theory of Groups.” If I were a Leibnizian mystic, believing in his “preestablished harmony,” and the “best possible world” so satirized by Voltaire in “Candide,” I would say that the metaphysical importance of the Principle of Sufficient Reason and the cognate Theory of Groups arises from the fact that God thinks multi-dimensionally* whereas men can only think in linear syllogistic series, and the Theory of Groups is the appropriate instrument of thought to remedy our deficiency in this respect. * That is, uses multi-dimensional symbols beyond our grasp. |
Related material:
A medal designed by Leibniz to show how
binary arithmetic mirrors the creation by God
of something (1) from nothing (0).
Another array of 16 strings of 0's and 1's, this time
regarded as coordinates rather than binary numbers—
Some context by a British mathematician —
|
Imago by Wallace Stevens Who can pick up the weight of Britain, Who can move the German load Or say to the French here is France again? Imago. Imago. Imago. It is nothing, no great thing, nor man Of ten brilliancies of battered gold And fortunate stone. It moves its parade Of motions in the mind and heart, A gorgeous fortitude. Medium man In February hears the imagination's hymns And sees its images, its motions And multitudes of motions And feels the imagination's mercies, In a season more than sun and south wind, Something returning from a deeper quarter, A glacier running through delirium, Making this heavy rock a place, Which is not of our lives composed . . . Lightly and lightly, O my land, Move lightly through the air again. |
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Tuesday, June 15, 2010
Imago, Imago, Imago
Recommended— an online book—
Flight from Eden: The Origins of Modern Literary Criticism and Theory,
by Steven Cassedy, U. of California Press, 1990.
See in particular
Valéry and the Discourse On His Method.
Pages 156-157—
Valéry saw the mind as essentially a relational system whose operation he attempted to describe in the language of group mathematics. "Every act of understanding is based on a group," he says (C, 1:331). "My specialty—reducing everything to the study of a system closed on itself and finite" (C, 19: 645). The transformation model came into play, too. At each moment of mental life the mind is like a group, or relational system, but since mental life is continuous over time, one "group" undergoes a "transformation" and becomes a different group in the next moment. If the mind is constantly being transformed, how do we account for the continuity of the self? Simple; by invoking the notion of the invariant. And so we find passages like this one: "The S[elf] is invariant, origin, locus or field, it's a functional property of consciousness" (C, 15:170 [2: 315]). Just as in transformational geometry, something remains fixed in all the projective transformations of the mind's momentary systems, and that something is the Self (le Moi, or just M, as Valéry notates it so that it will look like an algebraic variable). Transformation theory is all over the place. "Mathematical science . . . reduced to algebra, that is, to the analysis of the transformations of a purely differential being made up of homogeneous elements, is the most faithful document of the properties of grouping, disjunction, and variation in the mind" (O, 1:36). "Psychology is a theory of transformations, we just need to isolate the invariants and the groups" (C, 1:915). "Man is a system that transforms itself" (C, 2:896).
O Paul Valéry, Oeuvres (Paris: Pléiade, 1957-60)
C Valéry, Cahiers, 29 vols. (Paris: Centre National de le Recherche Scientifique, 1957-61)
Compare Jung's image in Aion of the Self as a four-diamond figure:
and Cullinane's purely geometric four-diamond figure:
For a natural group of 322,560 transformations acting on the latter figure, see the diamond theorem.
What remains fixed (globally, not pointwise) under these transformations is the system of points and hyperplanes from the diamond theorem. This system was depicted by artist Josefine Lyche in her installation "Theme and Variations" in Oslo in 2009. Lyche titled this part of her installation "The Smallest Perfect Universe," a phrase used earlier by Burkard Polster to describe the projective 3-space PG(3,2) that contains these points (at right below) and hyperplanes (at left below).
Although the system of points (at right above) and hyperplanes (at left above) exemplifies Valéry's notion of invariant, it seems unlikely to be the sort of thing he had in mind as an image of the Self.
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Saturday, December 5, 2009
Holiday Book
Time and Chance, continued…
NY Lottery numbers today–
Midday 401, Evening 717
_________________________________________________
From this journal on 4/01, 2009:
The Cruelest Month
"Langdon sensed she was
toying with him…."
___________________________________________
From this journal on 7/17, 2008:
Jung’s four-diamond figure from
Aion — a symbol of the self –
Jung’s Map of the Soul,
by Murray Stein:
“… Jung thinks of the self as undergoing continual transformation during the course of a lifetime…. At the end of his late work Aion, Jung presents a diagram to illustrate the dynamic movements of the self….”
For related dynamic movements,
see the Diamond 16 Puzzle
and the diamond theorem.
______________________________________________
A piece related to both of the above posts–
"The Symbologist," a review, respectful despite the editor's sarcastic title, of Jung's Red Book in the December 6th New York Times Book Review.
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Thursday, June 25, 2009
Thursday June 25, 2009
“… T. S. Eliot tried to recompose,
in Four Quartets, the fragments
he had grieved over
in The Waste Land.”
in Four Quartets, the fragments
he had grieved over
in The Waste Land.”
— “Beauty and Desecration,”
Roger Scruton
(link at aldaily.com today)
| “The formula reproduces exactly the essential features of the symbolic process of transformation. It shows the rotation of the mandala, the antithetical play of complementary (or compensatory) processes, then the apocatastasis, i.e., the restoration of an original state of wholeness….”
— Carl G. Jung in Aion
|
Related material:
this journal
one year ago today.
one year ago today.
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Saturday, March 28, 2009
Saturday March 28, 2009
The Rest
of the Story
Today's previous entry discussed the hermeneutics of the midday NY and PA lottery numbers.
| Lotteries on Reba's birthday, 2009 |
Pennsylvania (No revelation) |
New York (Revelation) |
| Mid-day (No belief) |
No belief, no revelation 726 |
Revelation without belief 378 |
| Evening (Belief) |
Belief without revelation 006 |
Belief and revelation 091 |
Interpretations of the evening numbers–
The PA evening number, 006, may be viewed as a followup to the PA midday 726 (or 7/26, the birthday of Kate Beckinsale and Carl Jung). Here 006 is the prestigious "00" number assigned to Beckinsale.
Will: Do you like apples?
Clark: Yeah.
Will: Well, I got her number.
How do you like them apples?
Clark: Yeah.
Will: Well, I got her number.
How do you like them apples?
The NY evening number, 091, may be viewed as a followup to the NY midday 378 (the number of pages in The Innermost Kernel by Suzanne Gieser, published by Springer, 2005)–
Page 91: The entire page is devoted to the title of the book's Part 3– "The Copenhagen School and Psychology"–
The next page begins: "With the crisis of physics, interest in epistemological and psychological questions grew among many theoretical physicists. This interest was particularly marked in the circle around Niels Bohr."
A particularly
marked circle
from March 15:
marked circle
from March 15:
The circle above is
marked with a version of
the classic Chinese symbol
adopted as a personal emblem
by Danish physicist Niels Bohr,
leader of the Copenhagen School.
"Two things of opposite natures seem to depend
On one another, as a man depends
On a woman, day on night, the imagined
On the real. This is the origin of change.
Winter and spring, cold copulars, embrace
And forth the particulars of rapture come."
-- Wallace Stevens,
"Notes Toward a Supreme Fiction,"
Canto IV of "It Must Change"
The square above is marked
with a graphic design
related to the four-diamond
figure of Jung's Aion.
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Monday, March 9, 2009
Monday March 9, 2009
Humorism
"Always with a
little humor."
— Dr. Yen Lo
From Temperament: A Brief Survey
For other interpretations
of the above shape, see
The Illuminati Diamond.
from Jung's Aion:
"From the circle and quaternity motif is derived the symbol of the geometrically formed crystal and the wonder-working stone. From here analogy formation leads on to the city, castle, church, house, room, and vessel. Another variant is the wheel. The former motif emphasizes the ego’s containment in the greater dimension of the self; the latter emphasizes the rotation which also appears as a ritual circumambulation. Psychologically, it denotes concentration on and preoccupation with a centre…." –Jung, Collected Works, Vol. 9, Part II, paragraph 352
Click on image
for a related puzzle.
For a solution, see
The Diamond Theorem.
As for rotation, see the ambigrams in Dan Brown's Angels & Demons (to appear as a film May 15) and the following figures:
Click on image
for a related puzzle.
For a solution, see
The Diamond Theorem.
A related note on
"Angels & Demons"
director Ron Howard:
Click image for details.
Comments Off on Monday March 9, 2009
Monday, February 9, 2009
Monday February 9, 2009
The Vision Thing
The British Academy Awards last night showed two Paul Newman clips:
"Sometimes nothin' can be a real cool hand."
"Boy, I got vision and the rest of the world wears bifocals."
Related material: This journal, September 2008.
As for bifocals…
 Pennsylvania Lottery 
|
|
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Thursday, January 8, 2009
Thursday January 8, 2009
Report of Arrival
A PBS broadcast of Cyrano de Bergerac was shown yesterday nationally and this evening, a day late, by WNED TV, Buffalo.
From the translation by Anthony Burgess:
Cyrano speaks of falling leaves–
They fall well. With a sort of panache.
They plume down in their last
Loveliness, disguising their fear
Of being dried and pounded to ash
To mix with the common dust.
They go in grace, making their fall appear
Like flying.
ROXANE You’re melancholy today.
CYRANO Never. I’m not the melancholy sort.
ROXANE Very well, then. We’ll let
The leaves of the fall fall while you
Turn the leaves of my gazette.
What’s new at court?
CYRANO … There have been some scandals
To do with witches. A bishop went to heaven,
Or so it’s believed: there’s been as yet no report
Of his arrival….”
Later….
CYRANO … See it there, a white plume
Over the battle– A diamond in the ash
Of the ultimate combustion–
My panache.”
Related material:
Today’s previous entry
and the Epiphany
link to the
four-diamond symbol
in Jung’s Aion
with an epigraph by
Gerard Manley Hopkins:
Comments Off on Thursday January 8, 2009
Tuesday, January 6, 2009
Tuesday January 6, 2009
Archetypes, Synchronicity,
and Dyson on Jung
and Dyson on Jung
The current (Feb. 2009) Notices of the American Mathematical Society has a written version of Freeman Dyson's 2008 Einstein Lecture, which was to have been given in October but had to be canceled. Dyson paraphrases a mathematician on Carl Jung's theory of archetypes:
"… we do not need to accept Jung’s theory as true in order to find it illuminating."
The same is true of Jung's remarks on synchronicity.
For example —
Yesterday's entry, "A Wealth of Algebraic Structure," lists two articles– each, as it happens, related to Jung's four-diamond figure from Aion as well as to my own Notes on Finite Geometry. The articles were placed online recently by Cambridge University Press on the following dates:
R. T. Curtis's 1974 article defining his Miracle Octad Generator (MOG) was published online on Oct. 24, 2008.
Curtis's 1987 article on geometry and algebraic structure in the MOG was published online on Dec. 19, 2008.
On these dates, the entries in this journal discussed…
Oct. 24:
Cube Space, 1984-2003
Material related to that entry:
Dec. 19:
Art and Religion: Inside the White Cube
That entry discusses a book by Mark C. Taylor:
The Picture in Question: Mark Tansey and the Ends of Representation (U. of Chicago Press, 1999).
In Chapter 3, "Sutures of Structures," Taylor asks —
"What, then, is a frame, and what is frame work?"
One possible answer —
Hermann Weyl on the relativity problem in the context of the 4×4 "frame of reference" found in the above Cambridge University Press articles.
"Examples are the stained-glass
windows of knowledge."
— Vladimir Nabokov
windows of knowledge."
— Vladimir Nabokov
Comments Off on Tuesday January 6, 2009