Log24

Monday, July 24, 2023

Topdot Art

Filed under: General — Tags: , — m759 @ 12:25 am

The new URL topdot.art  refers to depictions of
the top dot (or point, or vertex) in a vertex-edge diagram
of a square, cube, or hypercube that has been rotated
so that the bottom dot (or point, or vertex), represented by 
all-zero coordinates in a labeling, is at the bottom
and the top dot (or point, or vertex), represented by
all-one coordinates in a labeling, is at the top.

See (for instance) the Log24 post Physicality (Oct. 5, 2022).

Related philosophical remarks:  Einheit .

Saturday, March 11, 2023

Law Play

Filed under: General — Tags: , , — m759 @ 8:43 am
 

   Nietzsche, 'law in becoming' and 'play in necessity'   Nietzsche on Heraclitus— 'play in necessity' and 'law in becoming'— illustrated.

Simplified version —

'Law Play' by Cullinane, 11 March 2023

Friday, March 10, 2023

Hofstadter on Geometry

Filed under: General — Tags: , — m759 @ 10:54 am

See also http://m759.net/wordpress/?s=Rota+Heidegger+As .

Tuesday, August 17, 2021

Mythical Figure

Filed under: General — Tags: , , — m759 @ 12:55 pm

A phrase from the previous post : "modern society's mythical figures."

A mythical figure from Claude Lévi-Strauss

The above image is from a study of Lévi-Strauss's "Canonical Formula" …

Wednesday, February 17, 2021

Raiders of the Lost Coordinates . . .

Continues.

From other posts tagged Tetrahedron vs. Square —

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail  a  from the above tetrahedral figure) —

A Harvard Variation
from Timothy Leary —

The topics of Harvard and Leary suggest some other cultural
history, from The Coasters"Poison Ivy" and "Yakety Yak."

Saturday, August 3, 2019

As:  A Four-Set

Filed under: General — Tags: , — m759 @ 11:04 am

For further details, click on the image below.

Monday, May 27, 2019

But Seriously . . .

Filed under: General — Tags: , — m759 @ 9:32 pm

McLuhan on Analogy.

I prefer the simple "four dots" figure
of the double colon:

For those who prefer stranger analogies . . .

Actors from "The Eiger Sanction" —

Doctor Strange on Mount Everest —

Dr. Strange at beyondtheopposites.com on 2016/12/02

See as well this  journal on the above Strange date, 2016/12/02,
in posts tagged Lumber Room.

Sunday, January 20, 2019

Scope Resolution

Filed under: General — Tags: , — m759 @ 9:00 am

Wikipedia on a programming term

The scope resolution operator helps to identify
and specify the context to which an identifier refers,
particularly by specifying a namespace. The specific
uses vary across different programming languages
with the notions of scoping.  In many languages
the scope resolution operator is written

 "::".

In a completely different context, these four dots might represent
a geometric object  — the four-point plane .

Tuesday, October 17, 2017

The Movement of Analogy

Filed under: General,Geometry — Tags: , — m759 @ 4:20 pm

The title is a phrase by Octavio Paz from today's post
"Status Symbols."

Other phrases from a link target in Sunday's post 
The Strength at the Centre

                                a single world
In which he is and as and is are one.

See also Four Dots in this journal.

Tuesday, October 10, 2017

Dueling Formulas

Filed under: G-Notes,General,Geometry — Tags: , , , , — m759 @ 12:35 pm

Continued from the previous post and from posts
now tagged Dueling Formulas

The four-diamond formula of Jung and
the four-dot "as" of Claude Lévi-Strauss:

Simplified versions of the diamonds and the dots
 

The Ring of the Diamond Theorem          ::

I prefer Jung. For those who prefer Lévi-Strauss —

     First edition, Cornell University Press, 1970.

A related tale — "A Meaning, Like."

Saturday, August 12, 2017

Images from 1984

Filed under: General — Tags: — m759 @ 9:00 am

For the author of a Harvard Crimson  opinion piece yesterday on 1984 ,
two images adapted from a 1984 film —

Mola Ram from 'Temple of Doom'

See also, in this  journal, Hume's phrase "perfect nonentity."

Monday, June 26, 2017

Upgrading to Six

This post was suggested by the previous post — Four Dots —
and by the phrase "smallest perfect" in this journal.

Related material (click to enlarge) —

Detail —

From the work of Eddington cited in 1974 by von Franz —

See also Dirac and Geometry and Kummer in this journal.

Updates from the morning of June 27 —

Ron Shaw on Eddington's triads "associated in conjugate pairs" —

For more about hyperbolic  and isotropic  lines in PG(3,2),
see posts tagged Diamond Theorem Correlation.

For Shaw, in memoriam — See Contrapuntal Interweaving and The Fugue.

Four Dots

Analogies — “A : B  ::  C : D”  may be read  “A is to B  as  C is to D.”

Gian-Carlo Rota on Heidegger…

“… The universal as  is given various names in Heidegger’s writings….

The discovery of the universal as  is Heidegger’s contribution to philosophy….

The universal ‘as‘ is the surgence of sense in Man, the shepherd of Being.

The disclosure of the primordial as  is the end of a search that began with Plato….
This search comes to its conclusion with Heidegger.”

— “Three Senses of ‘A is B’ in Heideggger,” Ch. 17 in Indiscrete Thoughts
See also Four Dots in this journal.

Some context:  McLuhan + Analogy.

Saturday, April 8, 2017

A Perfect Nonentity

Filed under: General,Geometry — Tags: , , , — m759 @ 8:25 am

The title is from Hume:

 "And were all my perceptions removed by death,
and could I neither think, nor feel, nor see, nor love,
nor hate, after the dissolution of my body, I should
be entirely annihilated, nor do I conceive what is
further requisite to make me a perfect nonentity."

— Book I, Part IV, Section vi  of  
    A Treatise of Human Nature

"What is further requisite" — Perhaps  

This four-dot notation ("as") is from a search for Lévi-Strauss in this journal.

See also "That I Am."

Friday, April 7, 2017

Personal Identity

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

From "The Most Notorious Section Phrases," by Sophie G. Garrett
in The Harvard Crimson  on April 5, 2017 —

This passage reminds me of (insert impressive philosophy
that was not in the reading).

This student is just being a show off. We get that they are smart
and well read. Congrats, but please don’t make the rest of the us
look bad in comparison. It should be enough to do the assigned
reading without making connections to Hume’s theory of the self.

Hume on personal identity (the "self")

For my part, when I enter most intimately into what I call myself, I always stumble on some particular perception or other, of heat or cold, light or shade, love or hatred, pain or pleasure. I never can catch myself at any time without a perception, and never can observe any thing but the perception. When my perceptions are removed for any time, as by sound sleep, so long am I insensible of myself, and may truly be said not to exist. And were all my perceptions removed by death, and could I neither think, nor feel, nor see, nor love, nor hate, after the dissolution of my body, I should be entirely annihilated, nor do I conceive what is further requisite to make me a perfect nonentity.
. . . .

I may venture to affirm of the rest of mankind, that they are nothing but a bundle or collection of different perceptions, which succeed each other with an inconceivable rapidity, and are in a perpetual flux and movement. Our eyes cannot turn in their sockets without varying our perceptions. Our thought is still more variable than our sight; and all our other senses and faculties contribute to this change: nor is there any single power of the soul, which remains unalterably the same, perhaps for one moment. The mind is a kind of theatre, where several perceptions successively make their appearance; pass, repass, glide away, and mingle in an infinite variety of postures and situations. There is properly no simplicity in it at one time, nor identity in different, whatever natural propension we may have to imagine that simplicity and identity. The comparison of the theatre must not mislead us. They are the successive perceptions only, that constitute the mind; nor have we the most distant notion of the place where these scenes are represented, or of the materials of which it is composed.

Related material —
Imago Dei  in this journal.

The Ring of the Diamond Theorem

Backstory —
The previous post
and The Crimson Abyss.

Saturday, February 11, 2017

The God Identity

Filed under: General — Tags: , — m759 @ 1:00 pm

The previous post suggests a related concept, in which
"I Am that I Am" is replaced by "I am as  I am." —

Sunday, November 6, 2016

Fourplay

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

On a renovation of Manhattan's Irish Repertory Theatre:

"Performances in the new space began on May 17, 2016."

This journal on May 17, 2016

Click the image below for a related story. 

See also Cartesian Theatre, a post of April 19, 2004.

Saturday, August 27, 2016

Folk Notation

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

See the Chautauqua Season post of June 25
and a search for Notation  in this journal.

See as well the previous post and Bullshit Studies .

Saturday, June 25, 2016

Season

Filed under: General — Tags: — m759 @ 3:00 pm

Detail —

 

See also a search in this journal for Notation .

Saturday, May 28, 2016

Plan 4

Filed under: General — Tags: , — m759 @ 2:45 am

See a search in this journal for "As Is."

Tuesday, May 17, 2016

Bullshit Studies

The originator of the phrase 'Fab Four' reportedly
died at 80 on Saturday, May 14, 2016.

This suggests a review of another noted four-set.

The above image is from a study of Lévi-Strauss's "Canonical Formula"

Midrash —

Log24 post titled 'As Is'

[Above photo of Lévi-Strauss and formula added June 6, 2016.]

Tuesday, October 7, 2014

As Is

Filed under: General — Tags: , — m759 @ 10:05 pm

"That simple operator, 'as,' turns out to carry within its philosophical grammar
a remarkable complex field* of operations…."

Charles Altieri,  Painterly Abstraction in Modernist American Poetry,
Cambridge University Press, 1989, page 343

See also Rota on Heidegger (What "As" Is, July 6, 2010), and Lead Belly
on the Rock Island Line — "You got to ride it like you find it."

* Update of Oct. 10, 2014: See also "Complex + Grid" in this journal.

Tuesday, July 6, 2010

What “As” Is

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

or:  Combinatorics (Rota) as Philosophy (Heidegger) as Geometry (Me)

“Dasein’s full existential structure is constituted by
the ‘as-structure’ or ‘well-joined structure’ of the rift-design*…”

— Gary Williams, post of January 22, 2010

Background—

Gian-Carlo Rota on Heidegger…

“… The universal as  is given various names in Heidegger’s writings….

The discovery of the universal as  is Heidegger’s contribution to philosophy….

The universal ‘as‘ is the surgence of sense in Man, the shepherd of Being.

The disclosure of the primordial as  is the end of a search that began with Plato….
This search comes to its conclusion with Heidegger.”

— “Three Senses of ‘A is B’ in Heideggger,” Ch. 17 in Indiscrete Thoughts

… and projective points as separating rifts

Image-- The Three-Point Line: A Finite Projective Space

    Click image for details.

* rift-design— Definition by Deborah Levitt

Rift.  The stroke or rending by which a world worlds, opening both the ‘old’ world and the self-concealing earth to the possibility of a new world. As well as being this stroke, the rift is the site— the furrow or crack— created by the stroke. As the ‘rift design‘ it is the particular characteristics or traits of this furrow.”

— “Heidegger and the Theater of Truth,” in Tympanum: A Journal of Comparative Literary Studies, Vol. 1, 1998

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