Log24

Tuesday, January 31, 2023

The Object Subject

Filed under: General — Tags: , , — m759 @ 11:36 am

"The literary attack on the concept of a remembered self
comes principally from three directions:

(1) the brokenness of memory,

(2) the difficulty of affirming that all memories pertain to
the same self; and

(3) the impossibility of pretending that a subject is an object.

All three of these attacks tend to dissolve the self, to expose it
as fictitious, artificial, quaintly contrived."

The late Daniel Albright

"Literary and Psychological Models of the Self,” pp. 19 – 40 in
Neisser, U., & Fivush, R. (Eds.) (1994). The Remembering Self:
Construction and Accuracy in the Self-Narrative
  (Emory Symposia
in Cognition). Cambridge: Cambridge University Press.

See also The Thing and I.

“Modern Space Design”

Filed under: General — Tags: , , , — m759 @ 1:33 am

Confession in 'The Seventh Seal'

Saturday, August 6, 2022

Myth Space Date Note

Filed under: General — Tags: , — m759 @ 11:54 am

The above obituary reports a death that happened on July 23.
Also on that date . . . Myth Space and Date Note.

Saturday, July 23, 2022

Myth Space

Filed under: General — Tags: , — m759 @ 5:40 pm

From the new URL mythspace.org, which forwards to . . .

http://m759.net/wordpress/?tag=mythspace

From Middlemarch  (1871-2), by George Eliot, Ch. III —

"Dorothea by this time had looked deep into the ungauged reservoir of Mr. Casaubon's mind, seeing reflected there in vague labyrinthine extension every quality she herself brought; had opened much of her own experience to him, and had understood from him the scope of his great work, also of attractively labyrinthine extent. For he had been as instructive as Milton's 'affable archangel;' and with something of the archangelic manner he told her how he had undertaken to show (what indeed had been attempted before, but not with that thoroughness, justice of comparison, and effectiveness of arrangement at which Mr. Casaubon aimed) that all the mythical systems or erratic mythical fragments in the world were corruptions of a tradition originally revealed. Having once mastered the true position and taken a firm footing there, the vast field of mythical constructions became intelligible, nay, luminous with the reflected light of correspondences. But to gather in this great harvest of truth was no light or speedy work."

See also the term correspondence  in this journal.

Date Note: An Oxford Puzzlement

Filed under: General — Tags: , , — m759 @ 9:15 am
 

Oxford University Press Blog

On Hammerstein and Sondheim

Geoffrey Block, Distinguished Professor of Music History at the University of Puget Sound, is the author of Enchanted Evenings: The Broadway Musical From Show Boat  to Sondheim and Lloyd Webber.  The book offers theater lovers an illuminating behind-the-scenes tour of some of America’s best loved, most admired, and most enduring musicals, as well as a riveting history.  In the excerpt below we learn about how Hammerstein mentored Sondheim.

Sondheim, a native New Yorker whose father could play harmonized show tunes by ear after hearing them once or twice, was the beneficiary of a precocious, suitably specialized musical education.  While still a teenager and shortly after the premiere of Carousel ,  Sondheim had the opportunity to be critiqued at length by the legendary Hammerstein, who, by a fortuitous coincidence that would be the envy of Show Boat’s second act, happened to be a neighbor and the father of Sondheim’s friend and contemporary, James Hammerstein. Sondheim’s unique apprenticeship with the first of his three great mentors, Oscar Hammerstein 2nd, one of the giants of the Broadway musical from the 1920s until long after his death in 1960, might serve as a Hegelian metaphor for Sondheim’s thesis, antithesis, and synthesis of modernism and traditionalism, high-brow and low-brow. 

Note the above Oxford University Press date. Also on that date —

Tuesday September 29, 2009

Filed under: General — m759 @ 3:00 AM 

From Harper’s Magazine
for the Feast of
St. Michael and All Angels:

Note on a poem by Rilke

"Is a puzzlement." — Oscar Hammerstein II

“Not games. Puzzles. Big difference. That’s a whole other matter.
All art — symphonies, architecture, novels — it’s all puzzles.
The fitting together of notes, the fitting together of words have
by their very nature a puzzle aspect. It’s the creation of form
out of chaos. And I believe in form.”

— Stephen Sondheim, in Stephen Schiff,
    “Deconstructing Sondheim,” 
    The New Yorker,  issue of March 8, 1993, p. 76

Wednesday, June 22, 2022

Code Wars: “Use the Source, Luke.”

Filed under: General — Tags: , , , , — m759 @ 7:13 pm

Click the above galaxy for a larger image.


"O God, I could be bounded in a nutshell
and count myself a king of infinite space,
were it not that I have bad dreams." — Hamlet

Battle of the Nutshells —

IMAGE- History of Mathematics in a Nutshell

From a much larger nutshell
on the above code date—

Monday, June 15, 2020

“The Thing and I” Continues*

Filed under: General — Tags: — m759 @ 8:34 pm

“For the first thirty years of its history, Columbia was known as King’s College.”
History of the University Identity

Hence the crown favicon—

“When people talk about the importance of the study of ‘symmetry’
in mathematics, physics, and elsewhere, they often make the mistake
of only paying attention to the symmetry groups. The structure you
actually have is not just a group (the abstract ‘symmetries’), but an
action of that group on some other object, the thing  that has symmetries.”

Peter Woit of Columbia on June 9, reviewing a Quanta Magazine  article

* From earlier posts in this  journal containing the title phrase.

Monday, May 4, 2020

The Thing and I …

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

Continues.

Update at 4 PM —

“It is always
Nice to see you”
Says the man
Behind the counter

— Suzanne Vega. “Tom’s Diner”

Tom Stall’s diner in  “A History of  Violence” (30 September 2005).

This  journal on 30 September 2005 —

“This place ain’t doing me any good.
I’m in the wrong town,
I should be in Hollywood.”

— Dylan, “Things Have Changed

Saturday, October 26, 2019

Director’s Cut

Filed under: General — Tags: , , — m759 @ 6:14 am

The title was suggested by the previous post and by
the title illustration in the weblog of the director,
Leigh Whannell, of the 2018 film “Upgrade.”

Related visual details —

For the Church of Synchronology

Related remarks:  “The Thing and I.”

Tuesday, September 10, 2019

“The Thing and I” Continues*

Filed under: General — Tags: — m759 @ 1:24 pm

* From earlier posts containing the title phrase.

Sunday, May 19, 2019

The Building Blocks of Geometry

From "On the life and scientific work of Gino Fano
by Alberto Collino, Alberto Conte, and Alessandro Verra,
ICCM Notices , July 2014, Vol. 2 No. 1, pp. 43-57 —

" Indeed, about the Italian debate on foundations of Geometry, it is not rare to read comments in the same spirit of the following one, due to Jeremy Gray13. He is essentially reporting Hans Freudenthal’s point of view:

' When the distinguished mathematician and historian of mathematics Hans Freudenthal analysed Hilbert’s  Grundlagen he argued that the link between reality and geometry appears to be severed for the first time in Hilbert’s work. However, he discovered that Hilbert had been preceded by the Italian mathematician Gino Fano in 1892. . . .' "

13 J. Gray, "The Foundations of Projective Geometry in Italy," Chapter 24 (pp. 269–279) in his book Worlds Out of Nothing , Springer (2010).


Restoring the severed link —

Structure of the eightfold cube

See also Espacement  and The Thing and I.
 

Related material —

 
 

Monday, May 6, 2019

One Stuff

Building blocks?

From a post of May 4

Structure of the eightfold cube

See also Espacement  and The Thing and I.

Saturday, May 4, 2019

Inside the White Cube

Structure of the eightfold cube

See also Espacement  and The Thing and I.

Sunday, April 7, 2019

Block Talk

Filed under: General — Tags: — m759 @ 5:48 am

David Brooks in The New York Times  Sunday  Review   today

" 'In the deeps are the violence and terror of which psychology 
has warned us,' Annie Dillard writes in 'Teaching a Stone to Talk.' 
'But if you ride these monsters deeper down, if you drop with them
farther over the world’s rim, you find what our sciences cannot locate 
or name, the substrate, the ocean or matrix or ether which buoys
the rest, which gives goodness its power for good, and evil its power
for evil, the unified field: our complex and inexplicable caring for
each other.' "

Annie Dillard on the legendary philosopher's stone

“… if Holy the Firm is matter at its dullest, Aristotle’s materia prima ,
absolute zero, and since Holy the Firm is in touch with the Absolute
at base, then the circle is unbroken.  And it is…. Holy the Firm is
in short the philosopher’s stone.”

See also "The Thing and I."

Sunday, December 2, 2018

Iacta Est.

Filed under: General — Tags: , — m759 @ 5:48 pm

Altizer reportedly died on Wednesday, November 28.
See also this  journal on that date

 .

Wednesday, November 28, 2018

Geometry and Experience

Filed under: G-Notes,General,Geometry — Tags: , — m759 @ 9:18 am

Einstein, "Geometry and Experience," lecture before the
Prussian Academy of Sciences, January 27, 1921–

This view of axioms, advocated by modern axiomatics, purges mathematics of all extraneous elements, and thus dispels the mystic obscurity, which formerly surrounded the basis of mathematics. But such an expurgated exposition of mathematics makes it also evident that mathematics as such cannot predicate anything about objects of our intuition or real objects. In axiomatic geometry the words "point," "straight line," etc., stand only for empty conceptual schemata. That which gives them content is not relevant to mathematics.

Yet on the other hand it is certain that mathematics generally, and particularly geometry, owes its existence to the need which was felt of learning something about the behavior of real objects. The very word geometry, which, of course, means earth-measuring, proves this. For earth-measuring has to do with the possibilities of the disposition of certain natural objects with respect to one another, namely, with parts of the earth, measuring-lines, measuring-wands, etc. It is clear that the system of concepts of axiomatic geometry alone cannot make any assertions as to the behavior of real objects of this kind, which we will call practically-rigid bodies. To be able to make such assertions, geometry must be stripped of its merely logical-formal character by the coordination of real objects of experience with the empty conceptual schemata of axiomatic geometry. To accomplish this, we need only add the proposition: solid bodies are related, with respect to their possible dispositions, as are bodies in Euclidean geometry of three dimensions. Then the propositions of Euclid contain affirmations as to the behavior of practically-rigid bodies.

Geometry thus completed is evidently a natural science; we may in fact regard it as the most ancient branch of physics. Its affirmations rest essentially on induction from experience, but not on logical inferences only. We will call this completed geometry "practical geometry," and shall distinguish it in what follows from "purely axiomatic geometry." The question whether the practical geometry of the universe is Euclidean or not has a clear meaning, and its answer can only be furnished by experience.  ….

Later in the same lecture, Einstein discusses "the theory of a finite
universe." Of course he is not using "finite" in the sense of the field
of mathematics known as "finite geometry " — geometry with only finitely
many points.

Nevertheless, his remarks seem relevant to the Fano plane , an
axiomatically defined entity from finite geometry, and the eightfold cube ,
a physical object embodying the properties of the Fano plane.

 I want to show that without any extraordinary difficulty we can illustrate the theory of a finite universe by means of a mental picture to which, with some practice, we shall soon grow accustomed.

First of all, an observation of epistemological nature. A geometrical-physical theory as such is incapable of being directly pictured, being merely a system of concepts. But these concepts serve the purpose of bringing a multiplicity of real or imaginary sensory experiences into connection in the mind. To "visualize" a theory therefore means to bring to mind that abundance of sensible experiences for which the theory supplies the schematic arrangement. In the present case we have to ask ourselves how we can represent that behavior of solid bodies with respect to their mutual disposition (contact) that corresponds to the theory of a finite universe. 

Monday, July 9, 2018

Annals of Ontology

Filed under: General — Tags: — m759 @ 12:22 pm

The Thing and I  continues.

"… the Quantum Realm wouldn’t really become a 'thing' 
in Marvel’s comic book mythology until the end of that
decade [the 1970s], and the arrival of a toy license at
the publisher."

— Graeme McMillan in The Hollywood Reporter  Saturday

Thursday, February 2, 2017

An Object for New Haven

Filed under: General — Tags: — m759 @ 1:44 pm

The title was suggested by a Wallace Stevens poem.

See "The Thing and I" in this journal. See also

Words and Objects according to Whorf

Page 240 of Language, Thought, and Reality , MIT, 1956,
     in the article "Languages and Logic," reprinted from
    Technol. Rev. , 43: 250-252, 266, 268, 272 (April 1941)

Saturday, January 14, 2017

The Thing and I

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

Continued.

Saturday, April 30, 2016

A Lucifer for Walpurgisnacht

Filed under: General — Tags: , , — m759 @ 7:59 pm

A politician as 'Lucifer in the flesh'

A more impressive Lucifer —

The late theoretical physicist John Archibald Wheeler,
author of the phrase "it from bit."

Related material —

"The Thing and I" (April 17, 2016) and an essay by
Julian Barbour, "Bit from It."

Sunday, April 17, 2016

The Thing and I

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

The New York Times  philosophy column yesterday —

The Times's philosophy column "The Stone" is named after the legendary
"philosophers' stone." The column's name, and the title of its essay yesterday
"Is that even a thing?" suggest a review of the eightfold cube  as "The object
most closely resembling a 'philosophers' stone' that I know of" (Page 51 of
the current issue of a Norwegian art quarterly, KUNSTforum.as).

The eightfold cube —

Definition of Epiphany

From James Joyce’s Stephen Hero , first published posthumously in 1944. The excerpt below is from a version edited by John J. Slocum and Herbert Cahoon (New York: New Directions Press, 1959).

Three Times:

… By an epiphany he meant a sudden spiritual manifestation, whether in the vulgarity of speech or of gesture or in a memorable phase of the mind itself. He believed that it was for the man of letters to record these epiphanies with extreme care, seeing that they themselves are the most delicate and evanescent of moments. He told Cranly that the clock of the Ballast Office was capable of an epiphany. Cranly questioned the inscrutable dial of the Ballast Office with his no less inscrutable countenance:

— Yes, said Stephen. I will pass it time after time, allude to it, refer to it, catch a glimpse of it. It is only an item in the catalogue of Dublin’s street furniture. Then all at once I see it and I know at once what it is: epiphany.

— What?

— Imagine my glimpses at that clock as the gropings of a spiritual eye which seeks to adjust its vision to an exact focus. The moment the focus is reached the object is epiphanised. It is just in this epiphany that I find the third, the supreme quality of beauty.

— Yes? said Cranly absently.

— No esthetic theory, pursued Stephen relentlessly, is of any value which investigates with the aid of the lantern of tradition. What we symbolise in black the Chinaman may symbolise in yellow: each has his own tradition. Greek beauty laughs at Coptic beauty and the American Indian derides them both. It is almost impossible to reconcile all tradition whereas it is by no means impossible to find the justification of every form of beauty which has ever been adored on the earth by an examination into the mechanism of esthetic apprehension whether it be dressed in red, white, yellow or black. We have no reason for thinking that the Chinaman has a different system of digestion from that which we have though our diets are quite dissimilar. The apprehensive faculty must be scrutinised in action.

— Yes …

— You know what Aquinas says: The three things requisite for beauty are, integrity, a wholeness, symmetry and radiance. Some day I will expand that sentence into a treatise. Consider the performance of your own mind when confronted with any object, hypothetically beautiful. Your mind to apprehend that object divides the entire universe into two parts, the object, and the void which is not the object. To apprehend it you must lift it away from everything else: and then you perceive that it is one integral thing, that is a  thing. You recognise its integrity. Isn’t that so?

— And then?

— That is the first quality of beauty: it is declared in a simple sudden synthesis of the faculty which apprehends. What then? Analysis then. The mind considers the object in whole and in part, in relation to itself and to other objects, examines the balance of its parts, contemplates the form of the object, traverses every cranny of the structure. So the mind receives the impression of the symmetry of the object. The mind recognises that the object is in the strict sense of the word, a thing , a definitely constituted entity. You see?

— Let us turn back, said Cranly.

They had reached the corner of Grafton St and as the footpath was overcrowded they turned back northwards. Cranly had an inclination to watch the antics of a drunkard who had been ejected from a bar in Suffolk St but Stephen took his arm summarily and led him away.

— Now for the third quality. For a long time I couldn’t make out what Aquinas meant. He uses a figurative word (a very unusual thing for him) but I have solved it. Claritas is quidditas . After the analysis which discovers the second quality the mind makes the only logically possible synthesis and discovers the third quality. This is the moment which I call epiphany. First we recognise that the object is one  integral thing, then we recognise that it is an organised composite structure, a thing  in fact: finally, when the relation of the parts is exquisite, when the parts are adjusted to the special point, we recognise that it is that  thing which it is. Its soul, its whatness, leaps to us from the vestment of its appearance. The soul of the commonest object, the structure of which is so adjusted, seems to us radiant. The object achieves its epiphany.

Having finished his argument Stephen walked on in silence. He felt Cranly’s hostility and he accused himself of having cheapened the eternal images of beauty. For the first time, too, he felt slightly awkward in his friend’s company and to restore a mood of flippant familiarity he glanced up at the clock of the Ballast Office and smiled:

— It has not epiphanised yet, he said.

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