Log24

Tuesday, August 14, 2018

D8ing

Filed under: General,Geometry — Tags: , , , — m759 @ 12:06 AM

(Continued)

http://www.log24.com/log/pix18/180813-Ezra_Brown-PSL(2,7)-GL(2,3)-Oct-2009.jpg

http://www.log24.com/log/pix18/180814-Knight_Moves-archived-May_9_2008-500w.jpg

Monday, August 13, 2018

Trojan Horsitude

Filed under: General,Geometry — Tags: — m759 @ 3:33 AM
 

"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


". . . a perfect triptych of horsitude"

James Parker on the 2007 film "Michael Clayton"

Related material —

Horsitude in the 4×2 grid, and

http://www.log24.com/log/pix18/180813-Structure_and_Sense-post-160606.gif

http://www.log24.com/log/pix18/180813-Knight_Moves-080116-page-top.gif

Wednesday, August 8, 2018

Synchronology

Filed under: General — Tags: , , — m759 @ 6:29 AM

Dates from math forums mentioned in the previous post

Dec. 7, 2016  and  Aug. 2, 2010.

Connoisseurs of synchonology may like to click on those dates.

8/8

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

From mathoverflow.net on Dec. 7, 2016 —

The exceptional isomorphism between
PGL(3,2) and PSL(2,7): geometric origin?

Essentially the same question was asked earlier at

math.stackexchange.com on Aug. 2, 2010.

See also this  journal in November 2017 —

"Read something that means something."
                — New Yorker  ad

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

Background — Relativity Problem in Log24.

Sunday, December 17, 2017

Concrete Universals

Filed under: General — Tags: — m759 @ 6:45 PM

The remarks on universals in the previous post linked to the following
note by James Hillman:

James Hillman, Re-Visioning Psychology
Harper Collins, 1977, p. 155 —

"Myths also make concrete particulars into universals,
so that each image, name, thing in my life when
experienced mythically takes on universal sense,
and all abstract universals, the grand ideas of
human fate, are presented as concrete actions." 
[See note 48.]

Note 48:  Cf. P. Wheelwright's discussion of concrete universality
in The Burning Fountain  (Bloomington, Ind.: Indiana University
Press, 1968), pp. 52-54.

For Wheelwright's discussion, see the following excerpts from his book:

Pages 50-5152-5354-55.

Saturday, December 16, 2017

Dagger Definitions (Review)

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 11:30 AM

The previous post suggests a review of
the philosophical concept of universals —

A part of the above-mentioned 2011 "Saturday evening's post" that is
relevant to the illustration at the end of today's previous post —

http://www.log24.com/log/pix11/110101-Singer377abridged.jpg

Note the whatness of Singer's  dagger definitions —

Triptychs

Filed under: General,Geometry — Tags: — m759 @ 12:24 AM

Two readings by James Parker —

From next year's first Atlantic  issue

New Testament 'logos' in a review of a David Bentley Hart translation.

From last month's Atlantic  issue

"Let’s return to that hillside where Clayton exited his Mercedes.
In the gray light, he climbs the pasture. Halfway up the slope,
three horses are standing: sculpturally still, casually composed
in a perfect triptych of horsitude."

James Parker in The Atlantic , Nov. 2017 issue
 

Logos-related material 

Sunday, January 2, 2011

Horseness

Filed under: General,Geometry — Tags: — m759 @ 11:00 AM

"Art has to reveal to us ideas, formless spiritual essences."

— A character clearly talking nonsense, from the National Library section of James Joyce's Ulysses

"Unsheathe your dagger definitions. Horseness is the whatness of allhorse."

— A thought of Stephen Dedalus in the same Ulysses  section

For a representation of horseness related to Singer's dagger definitions in Saturday evening's post, see Generating the Octad Generator and Art Wars: Geometry as Conceptual Art.

More seriously, Joyce's "horseness" is related to the problem of universals. For an illuminating approach to universals from a psychological point of view, see James Hillman's Re-Visioning Psychology  (Harper Collins, 1977). (See particularly pages 154-157.)

Saturday, January 1, 2011

For a Dead Philosopher —

Filed under: General — Tags: — m759 @ 7:06 PM

Dagger Definitions

Part I

From 'Ulysses,' 1922 first edition, page 178-- 'dagger definitions'

Click for some background.

Part II

http://www.log24.com/log/pix11/110101-Singer377abridged.jpg

Click for some background.

Update of Jan. 2, 2011

Singer goes on to say that "A finite projective plane, PG (2, p), defined in this way is Pascalian and Desarguesian ; it exists for every prime and positive integer , and there is only one such PG (2, p) for a given p  and n …."

His definitions therefore deliberately exclude non -Desarguesian finite projective planes, which were known to exist at the time he wrote.

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