Thursday, November 22, 2018

Geometric Incarnation

Filed under: General,Geometry — Tags: — m759 @ 6:00 AM

"The hint half guessed, the gift half understood, is Incarnation."

— T. S. Eliot in Four Quartets

Note also the four 4×4 arrays surrounding the central diamond
in the chi  of the chi-rho  page of the Book of Kells

From a Log24 post
of March 17, 2012

"Interlocking, interlacing, interweaving"

— Condensed version of page 141 in Eddington's
1939 Philosophy of Physical Science

Saturday, March 17, 2018


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

From "Star Wars: The Last Jedi" —

From elsewhere —

Saturday, March 17, 2012

The Purloined Diamond

Filed under: General,Geometry — Tags: , — m759 @ 12:00 PM


The diamond from the Chi-rho page
of the Book of Kells

The diamond at the center of Euclid's
Proposition I, according to James Joyce
(i.e., the Diamond in the Mandorla) —

Geometry lesson: the vesica piscis in Finnegans Wake

The Diamond in the Football


“He pointed at the football
  on his desk. ‘There it is.’”
         – Glory Road

Doodle Dandy (continued)

Filed under: General — Tags: — m759 @ 5:01 AM


See also Kells in this journal.

Tuesday, June 24, 2008

Tuesday June 24, 2008

Filed under: General — Tags: — m759 @ 1:00 PM
Random Walk with
X's and O's

Part I: Random Walk

NY Lottery June 23, 2008: Mid-day 322, Evening 000

Part II: X's


Actor contemplating the Chi-rho Page of the Book of Kells

"Shakespeare, Rilke, Joyce,
Beckett and Levi-Strauss are
instances of authors for whom
chiasmus and chiastic thinking
are of central importance,
for whom chiasmus is a
generator of meaning,
tool of discovery and
  philosophical template."
— Chiasmus in the
Drama of Life

Part III: O's —

A Cartoon Graveyard
in honor of the late
Gene Persson

Today's Garfield

Garfield cartoon of June 24, 2008

See also
Midsummer Eve's Dream:

"The meeting is closed
with the lord's prayer
and refreshments are served."

Producer of plays and musicals
including Album and
The Ruling Class

Lower case in honor of
Peter O'Toole, star of
the film version of
The Ruling Class.

(This film, together with
O'Toole's My Favorite Year,
may be regarded as epitomizing
Hollywood's Jesus for Jews.)

Those who prefer
less randomness
in their religion
 may consult O'Toole's
more famous film work
involving Islam,
as well as
the following structure
discussed here on
the date of Persson's death:

5x5 ultra super magic square

"The Moslems thought of the
central 1 as being symbolic
of the unity of Allah.

Saturday, July 26, 2003

Saturday July 26, 2003

Filed under: General,Geometry — m759 @ 11:11 PM

The Transcendent

“God is both the transcendent signifier
and transcendent signified.”

— Caryn Broitman,
Deconstruction and the Bible

“Central to deconstructive theory is the notion that there is no ‘transcendent signified,’ or ‘logos,’ that ultimately grounds ‘meaning’ in language….”

— Henry P. Mills,
The Significance of Language,
Footnote 2

“It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy. It structures Plato’s (realist) reaction to the sophists (nominalists). What is often called ‘postmodernism’ is really just nominalism, colourfully presented as the doctrine that there is nothing except texts. It is the variety of nominalism represented in many modern humanities, paralysing appeals to reason and truth.”

Simon Blackburn, Think,
Oxford University Press, 1999, page 268

The question of universals is still being debated in Paris.  See my July 25 entry,

A Logocentric Meditation.

That entry discusses an essay on
mathematics and postmodern thought
by Michael Harris,
professor of mathematics
at l’Université Paris 7 – Denis Diderot.

A different essay by Harris has a discussion that gets to the heart of this matter: whether pi exists as a platonic idea apart from any human definitions.  Harris notes that “one might recall that the theorem that pi is transcendental can be stated as follows: the homomorphism Q[X] –> R taking X to pi is injective.  In other words, pi can be identified algebraically with X, the variable par excellence.”

Harris illustrates this with
an X in a rectangle:

For the complete passage, click here.

If we rotate the Harris X by 90 degrees, we get a representation of the Christian Logos that seems closely related to the God-symbol of Arthur C. Clarke and Stanley Kubrick in 2001: A Space Odyssey.  On the left below, we have a (1x)4×9 black monolith, representing God, and on the right below, we have the Harris slab, with X representing (as in “Xmas,” or the Chi-rho page of the Book of Kells) Christ… who is, in theological terms, also “the variable par excellence.”



For a more serious discussion of deconstruction and Christian theology, see

Walker Percy’s Semiotic.

Wednesday, July 23, 2003

Wednesday July 23, 2003

Filed under: General,Geometry — Tags: — m759 @ 4:17 PM

Being Pascal Sauvage


"Voilà ce que je sais par une longue expérience de toutes sortes de livres et de personnes. Et sur cela je fais le même jugement de ceux qui disent que les géomètres ne leur donnent rien de nouveau par ces règles, parce qu' ils les avaient en effet, mais confondues parmi une multitude d' autres inutiles ou fausses dont ils ne pouvaient pas les discerner, que de ceux qui cherchant un diamant de grand prix


parmi un grand nombre de faux, mais qu' ils n' en sauraient pas distinguer, se vanteraient, en les tenant tous ensemble, de posséder le véritable aussi bien que celui qui, sans s' arrêter à ce vil amas, porte la main sur la pierre choisie que l' on recherche, et pour laquelle on ne jetait pas tout le reste."

— Blaise Pascal, De l'Esprit Géométrique

La Pensée Sauvage

"….the crowning image of the kaleido­scope, lavishly analogized to the mythwork in a three-hundred-word iconic apotheosis that served to put the wraps on the sustained personification of “la pensée sauvage” in the figure of the bricoleur, in an argument developed across two chapters and some twenty pages in his [Claude Lévi-Strauss's] most famous book…."

— Robert de Marrais in
Catastrophes, Kaleidoscopes,
String Quartets:
Deploying the Glass Bead Game

Pascal Sauvage


For more on pensée sauvage, see

"Claude Lévi-Strauss,


and the Ethnographic Journey."

Tuesday, July 22, 2003

Tuesday July 22, 2003

Filed under: General — m759 @ 12:24 AM

Xmas in July

John Doe
his mark:

Today is the feast of
St. Mary Magdalene and
the birthday of Willem Dafoe.

Saturday, July 12, 2003

Saturday July 12, 2003

Filed under: General — m759 @ 7:00 AM


From my entry of Epiphany 2003,

Dead Poet in the City of Angels:

Certain themes recur in these entries.  To describe such recurrent themes, in art and in life, those enamoured of metaphors from physics may ponder the phrase “implicate order.”

For an illustration of at least part of the implicate order, click here .

On this, the day when Orangemen parade in Northern Ireland, it seems appropriate to expand on the two links I cited last Epiphany.

For the implicate order and Finnegans Wake, see sections 33 and 34 of

Understanding the (Net) Wake.

The second link in the box above is to the Chi-Rho page in the Book of Kells.  For a commentary on the structure of this page and the structure of Finnegans Wake, see

James Joyce’s Whirling Mandala.

Monday, January 6, 2003

Monday January 6, 2003

Filed under: General — m759 @ 12:00 PM

Dead Poet in
City of Angels

Lyricist Eddy Marnay died Friday, Jan. 3, 2003.
Relevant Log24.net entries:

Certain themes recur in these entries.  To describe such recurrent themes, in art and in life, those enamoured of metaphors from physics may ponder the phrase
implicate order.”

For an illustration of at least part of the
implicate order,
click here.

Another name for the implicate order is, of course, the Tao:

“The Chinese also speak of a great thing (the greatest thing) called the Tao. It is the reality beyond all predicates, the abyss that was before the Creator Himself. It is Nature, it is the Way, the Road. It is the Way in which the universe goes on, the Way in which things everlastingly emerge, stilly and tranquilly, into space and time.”

— C. S. Lewis, The Abolition of Man

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