Log24

Thursday, October 29, 2020

The Art of the Possible: Weyl as Magister Ludi ?

Filed under: General — Tags: , — m759 @ 3:54 am

Johann A. Makowsky recently reviewed  Modernism, Fiction and Mathematics
by Nina Engelhardt.  Engelhardt is a  Wissenschaftliche Mitarbeiterin  at the
University of Stuttgart.  Makowsky is a professor emeritus of the computer science
department at the Technion-Israel Institute of Technology

The quotation below, by Makowsky not Engelhardt,  is from Notices of the
American Mathematical Society
, November 2020  (Vol. 67, No. 10, p. 1594) —

"Hermann Weyl was known for his inspiring lectures,
celebrating mathematics as a performing art. It is then likely
that he was both the model for the magister ludi celebrating
the Glass Bead Game, and the source of Hesse’s awareness of
modern mathematics as the art of the possible, rather than
the science of true nature."

Possibly .

Consider also the diamond  as  Spielraum .

Friday, July 14, 2023

Ad Art

Filed under: General — m759 @ 11:35 am

The artwork in an IG ad today caught my eye —

Related material in this journal — Magister Ludi  and The Unity.

Friday, September 3, 2021

“The Home Cube, Where the Couple Reside”

Filed under: General — Tags: , — m759 @ 7:12 pm

From the post "Games" of Jan. 31, 2021 —

“Once Knecht confessed to his teacher that he wished to
learn enough to be able to incorporate the system of the
I Ching  into the Glass Bead Game. Elder Brother laughed.
‘Go ahead and try’, he exclaimed. ‘You’ll see how it turns out.
Anyone can create a pretty little bamboo garden in the world.
But I doubt the gardener would succeed in incorporating
the world in his bamboo grove’ ” (P. 139).

— Hermann Hesse, The Glass Bead Game (Magister Ludi) .
Translated by Richard and Clara Winston ( London, Vintage, 2000).

Sunday, January 31, 2021

Games

Filed under: General — Tags: — m759 @ 4:33 pm

The ivory-tower games of the previous post, Space Poetics,
suggest a review of Hesse on the I Ching

“Once Knecht confessed to his teacher that he wished to
learn enough to be able to incorporate the system of the
I Ching  into the Glass Bead Game. Elder Brother laughed.
‘Go ahead and try’, he exclaimed. ‘You’ll see how it turns out.
Anyone can create a pretty little bamboo garden in the world.
But I doubt the gardener would succeed in incorporating
the world in his bamboo grove’ ” (P. 139).

— Hermann Hesse, The Glass Bead Game (Magister Ludi) .
Translated by Richard and Clara Winston ( London, Vintage, 2000).

The above passage is as quoted and cited in

“Language Games in the Ivory Tower:
Comparing the Philosophical Investigations  with
Hermann Hesse’s The Glass Bead Game ,”
by Georgina Edwards
First published: 13 December 2019,
https://onlinelibrary.wiley.com/doi/abs/10.1111/1467-9752.12389 .

The cited publication date was also the date of death for
a Harvard classmate of mine.  As an alumnus of Phillips Andover,
he might have preferred Oliver Wendell Holmes to Hesse.

Saturday, October 12, 2019

Glass Beads

Filed under: General — Tags: — m759 @ 7:05 pm

(A sequel to the previous post, Marbles)

'Magister Ludi,' or 'The Glass Bead Game,' by Hermann Hesse

Click the book cover for some related posts.

Sunday, August 15, 2010

The Game

Filed under: General — Tags: , , — m759 @ 11:07 pm
'Magister Ludi,' or 'The Glass Bead Game,' by Hermann Hesse

We shall now give a brief summary of the beginnings of the Glass Bead Game. It appears to have arisen simultaneously in Germany and in England. In both countries, moreover, it was originally a kind of exercise employed by those small groups of musicologists and musicians who worked and studied in the new seminaries of musical theory. If we compare the original state of the Game with its subsequent developments and its present form, it is much like comparing a musical score of the period before 1500, with its primitive notes and absence of bar lines, with an eighteenth-century score, let alone with one from the nineteenth with its confusing excess of symbols for dynamics, tempi, phrasing, and so on, which often made the printing of such scores a complex technical problem.

The Game was at first nothing more than a witty method for developing memory and ingenuity among students and musicians. And as we have said, it was played both in England and Germany before it was ‘invented’ here in the Musical Academy of Cologne, and was given the name it bears to this day, after so many generations, although it has long ceased to have anything to do with glass beads.

The inventor, Bastian Perrot of Calw, a rather eccentric but clever, sociable, and humane musicologist, used glass beads instead of letters, numerals, notes, or other graphic symbols. Perrot, who incidentally has also bequeathed to us a treatise on the Apogee and Decline of Counterpoint, found that the pupils at the Cologne Seminary had a rather elaborate game they used to play. One would call out, in the standardized abbreviations of their science, motifs or initial bars of classical compositions, whereupon the other had to respond with the continuation of the piece, or better still with a higher or lower voice, a contrasting theme, and so forth. It was an exercise in memory and improvisation quite similar to the sort of thing probably in vogue among ardent pupils of counterpoint in the days of Schütz, Pachelbel, and Bach — although it would then not have been done in theoretical formulas, but in practice on the cembalo, lute, or flute, or with the voice.

Bastian Perrot in all probability was a member of the Journeyers to the East. He was partial to handicrafts and had himself built several pianos and clavichords in the ancient style. Legend has it that he was adept at playing the violin in the old way, forgotten since 1800, with a high-arched bow and hand-regulated tension of the bow hairs. Given these interests, it was perhaps only natural that he should have constructed a frame, modeled on a child’s abacus, a frame with several dozen wires on which could be strung glass beads of various sizes, shapes, and colors. The wires corresponded to the lines of the musical staff, the beads to the time-values of the notes, and so on. In this way he could represent with beads musical quotations or invented themes, could alter, transpose, and develop them, change them and set them in counterpoint to one another. In technical terms this was a mere plaything, but the pupils liked it; it was imitated and became fashionable in England too. For a time the game of musical exercises was played in this charmingly primitive manner. And as is so often the case, an enduring and significant institution received its name from a passing and incidental circumstance. For what later evolved out of that students’ sport and Perrot’s bead-strung wires bears to this day the name by which it became popularly known, the Glass Bead Game.

Hermann Hesse

“For although in a certain sense and for light-minded persons non-existent things can be more easily and irresponsibly represented in words than existing things, for the serious and conscientious historian it is just the reverse. Nothing is harder, yet nothing is more necessary, than to speak of certain things whose existence is neither demonstrable nor probable. The very fact that serious and conscientious men treat them as existing things brings them a step closer to existence and to the possibility of being born.”

— “Albertus Secundus,” epigraph to The Glass Bead Game

From DownloadThat.com

(Click to enlarge.)

http://www.log24.com/log/pix10B/100815-ThePaletteSm.jpg

Thursday, January 15, 2009

Thursday January 15, 2009

Filed under: General — Tags: — m759 @ 6:00 pm
Harvard, Magic,
and The New York Times

The New York Times Magazine for next Sunday:

The Edge of the Mystery, by Matt Bai–

“Weeks before the election of 1960, Norman Mailer, already an accomplished novelist, sat down to write his first major work of political journalism, an essay for Esquire in which he argued that only John F. Kennedy could save America… the only kind of leader who could rescue it, who could sweep in an era of what Mailer called ‘existential’ politics, was a ‘hipster’ hero– someone who welcomed risk and adventure, someone who sought out new experience, both for himself and for the country….

… Mailer essentially created a new genre for a generation of would-be literary philosophers covering politics….  By 1963, Mailer and other idealists were crushed to discover that Kennedy was in fact a fairly conventional and pragmatic politician, more Harvard Yard than Fortress of Solitude.”

The New York Times today:

Magic and Realism, by Roger Cohen–

“… what I want from the Obama administration is something more than Harvard-to-the-Beltway smarts. I want magical realism.”

Mailer and Cohen, taken together, suggest I should review two authors– Picard and Hesse– I encountered as a Harvard freshman in 1960.

Max Picard:

“In the ‘Prologue in Heaven’ in Goethe’s Faust a powerful silence is produced by the powerful word after each verse. There is an active, audible silence after every verse. The things that were moved into position by the word stand motionless in the silence, as if they were waiting to be called back into the silence and to disappear therein. The word not only brings the things out of silence; it also produces the silence in which they can disappear again.”

Goethe:

DER HERR:
Kennst du den Faust?

MEPHISTOPHELES:
Den Doktor?

DER HERR:
Meinen Knecht!

Online Etymology Dictionary:

knight
O.E. cniht “boy, youth, servant,” common W.Gmc. (cf. O.Fris. kniucht, Du. knecht, kneht “boy, youth, lad,” Ger. Knecht “servant, bondsman, vassal”), of unknown origin. Meaning “military follower of a king or other superior” is from c.1100. Began to be used in a specific military sense in Hundred Years War, and gradually rose in importance through M.E. period until it became a rank in the nobility 16c. The verb meaning “to make a knight of (someone)” is from c.1300. Knighthood is O.E. cnihthad M.H.G. “the period between childhood and manhood;” sense of “rank or dignity of a knight” is from c.1300. The chess piece so called from c.1440.

Further background on the word “Knecht”–

'Magister Ludi,' or 'The Glass Bead Game,' by Hermann Hesse

Epigraph to Magister Ludi
(Joseph Knecht’s translation):


“… For although in a certain sense and for light-minded persons non-existent things can be more easily and irresponsibly represented in words than existing things, for the serious and conscientious historian it is just the reverse. Nothing is harder, yet nothing is more necessary, than to speak of certain things whose existence is neither demonstrable nor probable. The very fact that serious and conscientious men treat them as existing things brings them a step closer to existence and to the possibility of being born.”

Thursday, August 14, 2008

Thursday August 14, 2008

Filed under: General,Geometry — Tags: — m759 @ 4:19 am
'Magister Ludi,' or 'The Glass Bead Game,' by Hermann Hesse
Magister Ludi
(The Glass Bead Game)
is now available for
download in pdf or
text format at Scribd.

“How far back the historian wishes to place the origins and antecedents of the Glass Bead Game is, ultimately, a matter of his personal choice. For like every great idea it has no real beginning; rather, it has always been, at least the idea of it. We find it foreshadowed, as a dim anticipation and hope, in a good many earlier ages. There are hints of it in Pythagoras, for example, and then among Hellenistic Gnostic circles in the late period of classical civilization. We find it equally among the ancient Chinese, then again at the several pinnacles of Arabic-Moorish culture; and the path of its prehistory leads on through Scholasticism and Humanism to the academies of mathematicians of the seventeenth and eighteenth centuries and on to the Romantic philosophies and the runes of Novalis’s hallucinatory visions. This same eternal idea, which for us has been embodied in the Glass Bead Game, has underlain every movement of Mind toward the ideal goal of a universitas litterarum, every Platonic academy, every league of an intellectual elite, every rapprochement between the exact and the more liberal disciplines, every effort toward reconciliation between science and art or science and religion. Men like Abelard, Leibniz, and Hegel unquestionably were familiar with the dream of capturing the universe of the intellect in concentric systems, and pairing the living beauty of thought and art with the magical expressiveness of the exact sciences. In that age in which music and mathematics almost simultaneously attained classical heights, approaches and cross-fertilizations between the two disciplines occurred frequently.”

 — Hermann Hesse

Author’s dedication:

to the Journeyers
to the East

Related material:

The Ring of the Diamond Theorem

Ring Theory

Sunday, May 25, 2008

Sunday May 25, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 9:00 am
 
Wechsler Cubes
"Confusion is nothing new."
— Song lyric, Cyndi Lauper
 
Part I:
Magister Ludi

Hermann Hesse's 1943 The Glass Bead Game (Picador paperback, Dec. 6, 2002, pp. 139-140)–

"For the present, the Master showed him a bulky memorandum, a proposal he had received from an organist– one of the innumerable proposals which the directorate of the Game regularly had to examine. Usually these were suggestions for the admission of new material to the Archives. One man, for example, had made a meticulous study of the history of the madrigal and discovered in the development of the style a curved that he had expressed both musically and mathematically, so that it could be included in the vocabulary of the Game. Another had examined the rhythmic structure of Julius Caesar's Latin and discovered the most striking congruences with the results of well-known studies of the intervals in Byzantine hymns. Or again some fanatic had once more unearthed some new cabala hidden in the musical notation of the fifteenth century. Then there were the tempestuous letters from abstruse experimenters who could arrive at the most astounding conclusions from, say, a comparison of the horoscopes of Goethe and Spinoza; such letters often included pretty and seemingly enlightening geometric drawings in several colors."

Part II:
A Bulky Memorandum

From Siri Hustvedt, author of Mysteries of the Rectangle: Essays on Painting (Princeton Architectural Press, 2005)– What I Loved: A Novel (Picador paperback, March 1, 2004, page 168)–

A description of the work of Bill Wechsler, a fictional artist:

"Bill worked long hours on a series of autonomous pieces about numbers. Like O's Journey, the works took place inside glass cubes, but these were twice as large– about two feet square. He drew his inspiration from sources as varied as the Cabbala, physics, baseball box scores, and stock market reports. He painted, cut, sculpted, distorted, and broke the numerical signs in each work until they became unrecognizable. He included figures, objects, books, windows, and always the written word for the number. It was rambunctious art, thick with allusion– to voids, blanks, holes, to monotheism and the individual, the the dialectic and yin-yang, to the Trinity, the three fates, and three wishes, to the golden rectangle, to seven heavens, the seven lower orders of the sephiroth, the nine Muses, the nine circles of Hell, the nine worlds of Norse mythology, but also to popular references like A Better Marriage in Five Easy Lessons and Thinner Thighs in Seven Days. Twelve-step programs were referred to in both cube one and cube two. A miniature copy of a book called The Six Mistakes Parents Make Most Often lay at the bottom of cube six. Puns appeared, usually well disguised– one, won; two, too, and Tuesday; four, for, forth; ate, eight. Bill was partial to rhymes as well, both in images and words. In cube nine, the geometric figure for a line had been painted on one glass wall. In cube three, a tiny man wearing the black-and-white prison garb of cartoons and dragging a leg iron has

— End of page 168 —

opened the door to his cell. The hidden rhyme is "free." Looking closely through the walls of the cube, one can see the parallel rhyme in another language: the German word drei is scratched into one glass wall. Lying at the bottom of the same box is a tiny black-and-white photograph cut from a book that shows the entrance to Auschwitz: ARBEIT MACHT FREI. With every number, the arbitrary dance of associations worked togethere to create a tiny mental landscape that ranged in tone from wish-fulfillment dream to nightmare. Although dense, the effect of the cubes wasn't visually disorienting. Each object, painting, drawing, bit of text, or sculpted figure found its rightful place under the glass according to the necessary, if mad, logic of numerical, pictorial, and verbal connection– and the colors of each were startling. Every number had been given a thematic hue. Bill had been interested in Goethe's color wheel and in Alfred Jensen's use of it in his thick, hallucinatory paintings of numbers. He had assigned each number a color. Like Goethe, he included black and white, although he didn't bother with the poet's meanings. Zero and one were white. Two was blue. Three was red, four was yellow, and he mixed colors: pale blue for five, purples in six, oranges in seven, greens in eight, and blacks and grays in nine. Although other colors and omnipresent newsprint always intruded on the basic scheme, the myriad shades of a single color dominated each cube.

The number pieces were the work of a man at the top of his form. An organic extension of everything Bill had done before, these knots of symbols had an explosive effect. The longer I looked at them, the more the miniature constructions seemed on the brink of bursting from internal pressure. They were tightly orchestrated semantic bombs through which Bill laid bare the arbitrary roots of meaning itself– that peculiar social contract generated by little squiggles, dashes, lines, and loops on a page."

Part III:
Wechsler Cubes
(named not for
Bill Wechsler, the
fictional artist above,
but for the non-fictional
David Wechsler) –

 

From 2002:

 

Above: Dr. Harrison Pope, Harvard professor of psychiatry, demonstrates the use of the Wechsler Adult Intelligence Scale "block design" subtest.

 
Part IV:
A Magic Gallery
Log24, March 4, 2004
 

ZZ
WW

Figures from the
Kaleidoscope Puzzle
of Steven H. Cullinane:


Poem by Eugen Jost:
Zahlen und Zeichen,
Wörter und Worte

Mit Zeichen und Zahlen
vermessen wir Himmel und Erde
schwarz
auf weiss
schaffen wir neue Welten
oder gar Universen

 Numbers and Names,
Wording and Words

With numbers and names
we measure heaven and earth
black
on white
we create new worlds
and universes

English translation
by Catherine Schelbert

A related poem:

Alphabets
by Hermann Hesse

From time to time
we take our pen in hand
and scribble symbols
on a blank white sheet
Their meaning is
at everyone's command;
it is a game whose rules
are nice and neat.

But if a savage
or a moon-man came
and found a page,
a furrowed runic field,
and curiously studied
lines and frame:
How strange would be
the world that they revealed.
a magic gallery of oddities.
He would see A and B
as man and beast,
as moving tongues or
arms or legs or eyes,
now slow, now rushing,
all constraint released,
like prints of ravens'
feet upon the snow.
He'd hop about with them,
fly to and fro,
and see a thousand worlds
of might-have-been
hidden within the black
and frozen symbols,
beneath the ornate strokes,
the thick and thin.
He'd see the way love burns
and anguish trembles,
He'd wonder, laugh,
shake with fear and weep
because beyond this cipher's
cross-barred keep
he'd see the world
in all its aimless passion,
diminished, dwarfed, and
spellbound in the symbols,
and rigorously marching
prisoner-fashion.
He'd think: each sign
all others so resembles
that love of life and death,
or lust and anguish,
are simply twins whom
no one can distinguish…
until at last the savage
with a sound
of mortal terror
lights and stirs a fire,
chants and beats his brow
against the ground
and consecrates the writing
to his pyre.
Perhaps before his
consciousness is drowned
in slumber there will come
to him some sense
of how this world
of magic fraudulence,
this horror utterly
behind endurance,
has vanished as if
it had never been.
He'll sigh, and smile,
and feel all right again.

— Hermann Hesse (1943),
"Buchstaben," from
Das Glasperlenspiel,
translated by
Richard and Clara Winston

Wednesday, August 2, 2006

Wednesday August 2, 2006

Filed under: General — m759 @ 2:00 am
Final Arrangements,
continued

Ontology Alignment is
the process of determining
correspondences between concepts.”

The image “http://www.log24.com/log/pix06A/060802-Deaths.jpg” cannot be displayed, because it contains errors.

Online New York Times today

The image “http://www.log24.com/log/pix05/050326-Garden.jpg” cannot be displayed, because it contains errors.

“With a little effort,
anything can be shown to
connect with anything else:
existence is infinitely
cross-referenced.”

— Opening sentence of
Martha Cooley’s The Archivist

“Frere Jacques, Cuernavaca,
ach du lieber August.”

— John O’Hara, Hope of Heaven, 1938

And now I was beginning to surmise:
Here was the library of Paradise.

Hermann Hesse, Magister Ludi 

(For Hesse in another context,
see the Log24 entries of
  Nov. 4-6, 2003.)

Friday, November 25, 2005

Friday November 25, 2005

Filed under: General — m759 @ 2:28 pm

Buckley and Pinochet

Yesterday, William F. Buckley, Jr., author of God and Man at Yale, turned 80.

Here is an entry from yesterday, postponed until today so it would not intervene between yesterday’s related entries “Crossroads” and “For Constantine’s Angel.”

Recommended reading
for William F. Buckley, Jr.

  1. Joyce and Aquinas (Yale Studies in English)
  2. God and Man in Twentieth-Century Fiction
  3. Modern Literature and the Sense of Time
  4. Three Young Men in Rebellion
  5. James Joyce: Unfacts, Fiction, and Facts
  6. Yeats and the Human Body
  7. Poetry and Prayer

These titles are from an Amazon.com search.  All seem to be by the same “William T. Noon,” a Jesuit priest.  Except for Joyce and Aquinas and Poetry and Prayer,  little of Noon’s work is now remembered.

Thought to accompany the above reading list:

“And now I was beginning to surmise:
Here was the library of Paradise.”

Hermann Hesse, Magister Ludi

Before he attains to Paradise, Buckley’s reading list in Purgatory might include the complete weblog of Andrew Cusack, a young Christian Fascist at the University of St. Andrews.

A related item…

According to “Today in History,” by the Associated Press, for Nov. 25, 2005,

“Today’s Birthdays: Former Chilean dictator General Augusto Pinochet is 90….”

If, in fact, Hell also has a library, let us pray that it contains, for Pinochet’s future edification, the collected works of Pablo Neruda.

Thursday, November 24, 2005

Thursday November 24, 2005

Filed under: General — m759 @ 2:12 pm
Recommended reading
for William F. Buckley, Jr.,
who is 80 today

“And now I was beginning to surmise:
Here was the library of Paradise.”

Hermann Hesse, Magister Ludi


Joyce and Aquinas (Yale Studies in English)

by William T. Noon

God and Man in Twentieth-Century Fiction
by William T. Noon

Modern Literature and the Sense of Time
by William T. Noon

Three Young Men in Rebellion
by William T. Noon

James Joyce: Unfacts, Fiction, and Facts
by William T. Noon

Yeats and the Human Body
by William T. Noon

Poetry and Prayer
by William T. Noon

Tuesday, November 4, 2003

Tuesday November 4, 2003

Filed under: General — m759 @ 11:55 am

Library of Paradise


Click to enlarge.

In memory of architect Philip Chu, who designed the above library at Amherst College:

“Chu was best known for his designs of college libraries, which his family said blended ‘modern influences from such innovators as Frank Lloyd Wright, the Oriental use of space and exterior design together with the traditional materials.’ Critics characterized his designs as ‘warm and inviting,’ his family said in a written statement.

Among his designs were the Robert Frost Library at Amherst College, which was dedicated by President John Kennedy…”

Honolulu Advertiser, Nov. 3, 2003

And now I was beginning to surmise:
Here was the library of Paradise.

Hermann Hesse, Magister Ludi

Chu died at 83 in Honolulu on
October 27, 2003.

See Dream of Heaven, Oct. 27, 2003.

See, too, ART WARS for Oct. 26, 2003
Forty years to the day after Kennedy’s remarks at Amherst.

  

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