Log24

Friday, January 6, 2017

Eightfold Cube at Cornell

Filed under: General,Geometry — Tags: , — m759 @ 7:35 pm

The assignments page for a graduate algebra course at Cornell
last fall had a link to the eightfold cube:

Friday, September 14, 2018

Warburg at Cornell, Continued

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

Warburg at Cornell U. Press

See also Epiphany 2017 —

Monday, January 9, 2017

Analogical Extension at Cornell

Filed under: General,Geometry — Tags: — m759 @ 1:30 pm

Click to enlarge the following (from Cornell U. Press in 1962) —

For a more recent analogical extension at Cornell, see the
Epiphany 2017 post on the eightfold cube and yesterday
evening's post "A Theory of Everything."

Saturday, May 1, 2021

How Deep the Rabbit Hole

Filed under: General — Tags: — m759 @ 9:24 pm

The Mystery of 'Monomial Representations and Symmetric Presentations'

See also Cornell Eightfold.

Friday, December 31, 2021

Aesthetics in Academia

Filed under: General — Tags: — m759 @ 9:33 am

Related art — The non-Rubik 3x3x3 cube —

The above structure illustrates the affine space of three dimensions
over the three-element finite (i.e., Galois) field, GF(3). Enthusiasts
of Judith Brown's nihilistic philosophy may note the "radiance" of the
13 axes of symmetry within the "central, structuring" subcube.

I prefer the radiance  (in the sense of Aquinas) of the central, structuring 
eightfold cube at the center of the affine space of six dimensions over
the two-element field GF(2).

Wednesday, August 18, 2021

Eight the Great

Filed under: General — m759 @ 9:03 am

Starring J. J. Abrams as Leonhard Euler?

Related material —

The Cornell cap in the recent HBO "White Lotus" —

  "I'm just playing the hand I was dealt."

Saturday, September 5, 2020

Ikonologie des Zwischenraums

Filed under: General — Tags: , — m759 @ 11:28 am

The title is from a Cornell page in the previous post.

Related material (click to enlarge) —

The above remarks on primitive mentality suggest
a review of Snakes on a Plane.

Saturday, January 14, 2017

1984: A Space Odyssey

Filed under: General,Geometry — m759 @ 2:40 pm

See Eightfold 1984 in this journal.

Related material —

"… the object sets up a kind of
 frame or space or field
 within which there can be epiphany."

"… Instead of an epiphany of being,
we have something like
an epiphany of interspaces."

— Charles Taylor, "Epiphanies of Modernism,"
Chapter 24 of Sources of the Self ,
Cambridge University Press, 1989

"Perhaps every science must start with metaphor
and end with algebra; and perhaps without the metaphor
there would never have been any algebra."

— Max Black, Models and Metaphors ,
Cornell University Press, Ithaca, NY, 1962

Epiphany 2017 —

Click to enlarge:

Sunday, June 3, 2012

Child’s Play

Filed under: General,Geometry — Tags: , , , — m759 @ 2:56 pm

(Continued)

“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.”

– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
, Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

Related material—

The Trinity Cube

IMAGE- The Trinity Cube (three interpenetrating planes that split the eightfold cube into its eight subcubes)

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