Log24

Thursday, July 31, 2014

Zero System

Filed under: General,Geometry — Tags: , , — m759 @ 6:11 pm

The title phrase (not to be confused with the film 'The Zero Theorem')
means, according to the Encyclopedia of Mathematics,
a null system , and

"A null system is also called null polarity,
a symplectic polarity or a symplectic correlation….
it is a polarity such that every point lies in its own
polar hyperplane."

See Reinhold Baer, "Null Systems in Projective Space,"
Bulletin of the American Mathematical Society, Vol. 51
(1945), pp. 903-906.

An example in PG(3,2), the projective 3-space over the
two-element Galois field GF(2):

IMAGE- The natural symplectic polarity in PG(3,2), illustrating a symplectic structure

See also the 10 AM ET post of Sunday, June 8, 2014, on this topic.

Wednesday, July 30, 2014

Photo Opportunities

Filed under: General — Tags: — m759 @ 11:50 pm

I need a photo opportunity….” — Paul Simon

Ready for My Closeup

Filed under: General — Tags: , , , — m759 @ 1:20 pm

IMAGE- Jenny O'Hara sums up the Log24 'Aqua' theme

Tuesday, July 29, 2014

New Art Now

Filed under: General — Tags: , — m759 @ 11:45 pm

IMAGE- 'MADE IN LA,' 'NEW ART NOW,' with fountain from broken water main on Sunset Boulevard. Photo by Mike Meadows.

See also Aqua  in this journal.

The Craft

Filed under: General — m759 @ 3:28 pm

See “Charles Williams” + Witchcraft  in this journal.

Williams was one of the Inklings, a group of Christian
writers that included C. S. Lewis and J. R. R. Tolkien.

Darkness at Noon

Filed under: General — m759 @ 12:00 pm

See also Kurtz in this  journal.

Radio Days

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

In memoriam :

“Margot Adler, an iconic NPR correspondent and Wiccan priestess,
died on Monday July 28 from endometrial cancer at the age of 68.”

Huffington Post 07/28/2014 5:39 pm EDT

See also Log24 posts tagged NPR Magic.

Strict Form

Filed under: General — m759 @ 3:00 am

Two items from this morning’s news:

IMAGE- 'Monk brought strict form of Zen Buddhism to U.S.'

Sasaki Roshi trained for years in a distinctively strict style of Zen
that he transplanted to the U.S. His students rose at 3 a.m.
for chanting, exhausting hours of meditation and one-on-one
meetings with their teacher, who would pose impenetrable
koans, riddles like: ‘When you see the flower, where is God?'”

For a mathematician’s example of an alleged Zen ideal, see the feast day
this year of St. Gerard Manley Hopkins.

Monday, July 28, 2014

Reductio Ad

Filed under: General — m759 @ 10:09 am

Wikipedia article:

Reductionism is a philosophical position
which holds that a complex system is nothing but
the sum of its parts, and that an account of it can be
reduced to accounts of individual constituents.[1]

 1.  See e.g. Reductionism in the Interdisciplinary
Encyclopedia of Religion and Science.

 “The Website of the Interdisciplinary Encyclopedia on
Religion and Science
  is edited by the Advanced School
for Interdisciplinary Research (ADSIR), operating at the
Pontifical University of the Holy Cross, Rome….”

For a reductionist Holy Cross, see yesterday’s noon post.

Sunday, July 27, 2014

George Johnson’s Theory of Everything

Filed under: General,Geometry — m759 @ 12:00 pm

George Johnson, a science writer, in The New York Times
on July 21, 2014:

“New particles may yet be discovered, and even new laws.
But it is almost taken for granted that everything
from physics to biology, including the mind,
ultimately comes down to four fundamental concepts:
matter and energy interacting in an arena of space and time.”

Related material:

Ite, missa est.

Saturday, July 26, 2014

OOPs

Filed under: General — Tags: — m759 @ 2:01 pm

Or:  Two Rivets Short of a Paradigm

Detail from an author photo:

IMAGE- 'House of Cards,' book on Bear Stearns, author photo, with two missing rivets

From rivet-rivet.net:

The philosopher Graham Harman is invested in re-thinking the autonomy of objects and is part of a movement called Object-Oriented-Philosophy (OOP). Harman wants to question the authority of the human being at the center of philosophy to allow the insertion of the inanimate into the equation. With the aim of proposing a philosophy of objects themselves, Harman puts the philosophies of Bruno Latour and Martin Heidegger in dialogue. Along these lines, Harman proposes an unconventional reading of the tool-being analysis made by Heidegger. For Harman, the term tool does not refer only to human-invented tools such as hammers or screwdrivers, but to any kind of being or thing such as a stone, dog or even a human. Further, he uses the terms objects, beings, tools and things, interchangeably, placing all on the same ontological footing. In short, there is no “outside world.”

Harman distinguishes two characteristics of the tool-being: invisibility and totality. Invisibility means that an object is not simply used but is: “[an object] form(s) a cosmic infrastructure of artificial and natural and perhaps supernatural forces, power by which our last action is besieged.” For instance, nails, wooden boards and plumbing tubes do their work to keep a house “running” silently (invisibly) without being viewed or noticed. Totality means that objects do not operate alone but always in relation to other objects–the smallest nail can, for example, not be disconnected from wooden boards, the plumbing tubes or from the cement. Depending on the point of view of each entity (nail, tube, etc.) a different reality will emerge within the house. For Harman, “to refer to an object as a tool-being is not to say that it is brutally exploited as a means to an end, but only that it is torn apart by the universal duel between the silent execution of an object’s reality and the glistening aura of its tangible surface.”

— From "The Action of Things," an M.A. thesis at the Center for Curatorial Studies, Bard College, by Manuela Moscoso, May 2011, edited by Sarah Demeuse

From Wikipedia, a programming paradigm:

See also posts tagged Turing's Cathedral, and Alley  Oop (Feb. 11, 2003).

Friday, July 25, 2014

Review

Filed under: General — Tags: — m759 @ 10:00 pm

In honor of Ace Greenberg, a major Wall Street player
who reportedly died today at 86:

See also this journal on the date of the above review,
March 9, 2009:  First and Last Things.

Zeppelin Concert

Filed under: General — m759 @ 9:00 pm

This post was suggested by…

“Oh, the humanity!” — Reporter’s comment

Actual Talent

Filed under: General — Tags: , — m759 @ 8:28 pm

“It’s going to be accomplished in steps,
this establishment of the Talented
in the scheme of things.”

— Anne McCaffrey,  Radcliffe ’47, To Ride Pegasus

From a review of the new film “Magic in the Moonlight”—

“Sophie seems to have some actual talent….
When Sophie meets Aunt Vanessa, she uncovers the spinster’s
long-ago love affair with a member of parliament. It’s eerie.”

Material that is related, if only in story space:

Magic for Jews

Filed under: General — Tags: — m759 @ 8:00 pm

(Continued from April 8, 2013.)

See Two Blocks Short of a Design (May 5, 2011).

Lying Rhyme?

Filed under: General — m759 @ 7:00 pm

“Just a lying rhyme for seven!” — Playwright Tom Stoppard on Heaven

Related material in this journal:  Lying Rhyme and Happy Birthday.

Magic in the Moonshine

Filed under: General — Tags: , — m759 @ 12:00 pm

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”

— Joseph Conrad in Heart of Darkness

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118

Spectral evidence is a form of evidence
based upon dreams and visions.” —Wikipedia

See also Moonshine (May 15, 2014) and, from the date of the above
New York Times  item, two posts tagged Wunderkammer .

Related material: From the Spectrum program of the Mathematical
Association of America, some non-spectral evidence.

Thursday, July 24, 2014

Death in Mathmagic Land

Filed under: General — Tags: , , — m759 @ 11:29 am

(Continued from May 14, 2014.)

See also consciousness growth and the previous post.

Wednesday, July 23, 2014

Cold Wind

Filed under: General — Tags: — m759 @ 2:40 pm

"Lord knows when the cold wind blows
it'll turn your head around."

— James Taylor, "Fire and Rain"

Ricky Jay's head turns around in "The Amazing Maleeni,"
episode 8 of season 7 of "The X-Files."

"It was the middle of summer, but
the cold wind blew in full force."

— David Kushner, Jonny Magic and the Card Shark Kids  

(Quoted here in House of Cards, June 11, 2014,
a post on magic, cards, and Multnomah County.)

Related material:

Recent posts on artist Otto Piene and the Whiskey Bar song,
as well as the following Multnomah County story from yesterday's
online NY Times :

Sky Captain*

Filed under: General — m759 @ 1:00 am

This is a post in memory of artist Otto Piene, who reportedly died
at 86 on Thursday, July 17, 2014, in Berlin.

*For the title, see Alternate Reality, a post of Saturday, July 19, 2014.
See also Piene and paradigms, and Paradigm Shift from the date of death
for Piene and Hartsfield.

Tuesday, July 22, 2014

The Zone

Filed under: General — m759 @ 4:26 pm

Wernher von Braun

See also The Zero Theorem in this journal.

Monday, July 21, 2014

Space-Cowboy Theology

Filed under: General — m759 @ 11:01 am

Click on the above video for a theological remark by Clint Eastwood.

Sunday, July 20, 2014

Sermon

Filed under: General — Tags: — m759 @ 11:00 am

“Tell it slant.” — Emily Dickinson

IMAGE- James Garner, NY Times obits

Sunday School

Filed under: General,Geometry — Tags: , — m759 @ 9:29 am

Paradigms of Geometry:
Continuous and Discrete

The discovery of the incommensurability of a square’s
side with its diagonal contrasted a well-known discrete 
length (the side) with a new continuous  length (the diagonal).
The figures below illustrate a shift in the other direction.
The essential structure of the continuous  configuration at
left is embodied in the discrete  unit cells of the square at right.

IMAGE- Concepts of Space: The Large Desargues Configuration, the Related 4x4 Square, and the 4x4x4 Cube

See Desargues via Galois (August 6, 2013).

Saturday, July 19, 2014

More or Less by Chance

Filed under: General — Tags: — m759 @ 3:14 pm

From the date of Piene's death —

See also Zero Theorem in this journal.

Zero Art

Filed under: General — m759 @ 12:00 pm

“Zero is a group of artists founded by Heinz Mack and
Otto Piene….” — Wikipedia

“The title ZERO was the result of months of search
and was finally found more or less by chance.
From the beginning we looked upon the term
not as an expression of nihilism – or a dada-like gag,
but as a word indicating a zone of silence and of
pure possibilities for a new beginning as at the
count-down when rockets take off-  zero is the
incommensurable zone in which the old state turns
into the new.”

Otto Piene, 1964

Alternate Reality

Filed under: General — m759 @ 11:30 am

(Where Entertainment Is God , continued)

In memory of artist Otto Piene — a news item from last May
at the ZERO Foundation website on an exhibition that closes tomorrow —

2014-05-15
Today is the opening of the exhibition ZERO — Zwischen Himmel und Erde
in Friedrichshafen. The Zeppelin Museum is showing wonderful artworks
all related to heaven and earth by various ZERO artists
such as Piene, Mack, Uecker, Klein, Luther, and Manzoni.
ZERO – Zwischen Himmel und Erde
Zeppelin Museum Friedrichshafen
15.05. – 20.07.2014

www.zeppelin-museum.de

“Oh, show me the way to the next whiskey bar”
— Song lyric from previous post

“In a technologically advanced 1939, the zeppelin Hindenburg III
arrives in New York City, mooring atop the Empire State Building.”

— Wikipedia on the first scene of the 2004 film
Sky Captain and the World of Tomorrow

Friday, July 18, 2014

Breakfast Song

Filed under: General — m759 @ 11:30 pm

From The Thin White Duke:

“When I was living in my apartment in Berlin,
I would sing this at breakfast every morning.”

Oh, show me the way to the next whiskey bar
Oh, don’t ask why, no, don’t ask why
For we must find the next whiskey bar

Or if we don’t find the next whiskey bar
I tell you we must die, I tell you we must die
I tell you, I tell you, I tell you we must die

Read more:  David Bowie – Alabama Song Lyrics | MetroLyrics

See also…

“Wir trauern um Otto Piene, der unerwartet am 17.7 in Berlin gestorben ist.” 

In Memoriam

Filed under: General — m759 @ 2:01 pm

The Los Angeles Times  on entertainer Elaine Stritch,
who died yesterday (Thursday, July 17, 2014):

“She made few apologies in her career, describing herself as
a ‘Catholic, diabetic, alcoholic, pain in the ass.'” — David Ng

“Band of angels, lead me home.” — Song lyric

Detail:

Scene from 3:10 to Yuma  (1957)

Related material:

Thursday, July 17, 2014

Paradigm Shift:

 

Continuous Euclidean space to discrete Galois space*

Euclidean space:

Point, line, square, cube, tesseract

From a page by Bryan Clair

Counting symmetries in Euclidean space:

Galois space:

Image-- examples from Galois affine geometry

Counting symmetries of  Galois space:
IMAGE - The Diamond Theorem

The reason for these graphic symmetries in affine Galois space —

symmetries of the underlying projective Galois space:

* For related remarks, see posts of May 26-28, 2012.

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