Log24

Tuesday, June 8, 2004

Tuesday June 8, 2004

Filed under: General — m759 @ 3:31 pm

Anomaly

From today’s New York Times:

Robert Quine, 61,
Punk Rock Guitarist,
Philosopher’s Nephew,
Dies

By BEN SISARIO

Robert Quine, a noted guitarist of the New York rock scene of the 1970’s and 80’s who played with Richard Hell, Lou Reed and others, died last week in his home in Manhattan. He was 61.

He was found dead by the police on Saturday, said James Marshall, a friend. The police found a note and said they believed the death was a suicide but are awaiting a medical examiner’s report.  Mr. Marshall said he believed Mr. Quine died on May 31.

In the loud world of New York punk, where crude simplicity trumped most conventional notions of musical skill, Mr. Quine stood out as a stylish virtuoso….

“He was an extraordinary mixture of taste, intelligence, and rock ‘n’ roll abilities, coupled with major technique and a scholar’s memory for every decent guitar lick ever played under the musical sun,” Mr. Reed said….

Mr. Quine was an anomaly in the punk scene. Older than most of his fellow musicians, he had a law degree and was nearly bald, and wore button-down shirts and sport coats and described his appearance as that of a “deranged insurance salesman.”….

His uncle, the philosopher W. V. Quine, died in 2000.

“Anomalies must be expected along the conceptual frontier between the temporal and the eternal.”
The Death of Adam, by Marilynne Robinson, Houghton Mifflin, 1998, essay on Marguerite de Navarre

“D’exterieur en l’interieur entre
Qui va par moi, et au milieu du centre
Me trouvera, qui suis le point unique,
La fin, le but de la mathematique;
Le cercle suis dont toute chose vient,
Le point ou tout retourne et se maintient.”
— Marguerite de Navarre

Thursday, June 3, 2004

Thursday June 3, 2004

Filed under: General — Tags: — m759 @ 3:17 pm

STAR WARS
Continued…

Today’s New York Times story on Richard Helms, together with my reminiscences in the entry that follows it below, suggest the following possibility for symbol-mongering:

Compare the 16-point star of the C.I.A.
with the classic 8-point star of Venus:

From today’s New York Times:

The image “http://www.log24.com/log/pix04A/040603-Tenet.jpg” cannot be displayed, because it contains errors.

Not even the most powerful
can alter the alignment
of the stars.

In a related story….

The Good Bad Boy
By Alison Lurie

“Today, many people have the illusion that they know who Pinocchio is. They think that he is a wooden marionette who becomes a human boy; that he was swallowed by a huge fish; and that when he told lies his nose grew longer. These people are right, but often in a very limited way. They know Pinocchio only from the sentimentalized and simplified Disney cartoon, or the condensed versions of his story that are thought more suitable for children. The original novel by Carlo Collodi, which today survives mainly in scholarly editions, is much longer, far more complex and interesting, and also much darker.”

The New York Review of Books, June 24, 2004

 

Monday, September 29, 2003

Monday September 29, 2003

Filed under: General — m759 @ 3:03 pm

Magic Hawaii

Today, the birthday of singer Jerry Lee Lewis, is also the feast of St. Michael and All Angels.

In honor of Lewis:

Killer Radio, an entry of July 31, 2003, that contains the following…

“When the light came she was sitting on the bed beside an open suitcase, toying with her diamond rings.  She saw the light first in the depths of the largest stone.”

— Paul Preuss, Broken Symmetries,
    scene at Diamond Head, Oahu,
    Hawaii

In honor of the angels:

Mathematics as an Adequate Language,
by Israel Gelfand, Sept. 2, 2003, which contains the following…

“Many people consider mathematics to be a boring and formal science.  However, any really good work in mathematics always has in it: beauty, simplicity, exactness, and crazy ideas.  This is a strange combination.  I understood earlier that this combination is essential on the example of classical music and poetry.  But it is also typical in mathematics.  It is not by chance that many mathematicians enjoy serious music.

This combination of beauty, simplicity, exactness, and crazy ideas is, I think, common to both mathematics and music.”

These qualities seem also to be sought by practitioners of religion and physics… for example, by the spiritually-minded physicist in Preuss’s Broken Symmetries.  Skeptics might prefer, to the word “religion,” the word (pronounced with a sneer) “magic.”

What do we find if, following in the footsteps of Gelfand and Preuss, we do a Google search on the following words…

beauty simplicity exactness
 crazy magic Hawaii
“?

The search yields two results:

  1. The Pupil: Poems by W. S. Merwin.
    The above link is to a poem, “Prophecy,” that seems suitable for these, the High Holy Days at the end of one year and the beginning of another.

    For a follow-up to the poem, see
    The Shining of Lucero.

  2. Striking Through the Mask, or
     The Allegorical Meanings
     in Moby Dick
    .”

These two selections, both on the theme of light and darkness, offer a language that is perhaps more adequate than mathematics for dealing with the nature of the High Holy Days.  For a more lighthearted approach to these concerns, also with a Hawaiian theme, see

The Aloha Mass.

Tuesday, August 19, 2003

Tuesday August 19, 2003

Filed under: General,Geometry — Tags: — m759 @ 5:23 pm

Intelligence Test

From my August 31, 2002, entry quoting Dr. Maria Montessori on conciseness, simplicity, and objectivity:

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

Another Harvard psychiatrist, Armand Nicholi, is in the news lately with his book The Question of God: C.S. Lewis and Sigmund Freud Debate God, Love, Sex, and the Meaning of Life

 

Pope

Nicholi

Old
Testament
Logos

New
Testament
Logos

For the meaning of the Old-Testament logos above, see the remarks of Plato on the immortality of the soul at

Cut-the-Knot.org.

For the meaning of the New-Testament logos above, see the remarks of R. P. Langlands at

The Institute for Advanced Study.

For the meaning of life, see

The Gospel According to Jill St. John,

whose birthday is today.

"Some sources credit her with an I.Q. of 162."
 

Monday, August 18, 2003

Monday August 18, 2003

Filed under: General,Geometry — Tags: , — m759 @ 3:09 pm

Entries since Xanga’s
August 10 Failure:


Sunday, August 17, 2003  2:00 PM

A Thorny Crown of…

West Wing's Toby Ziegler

From the first episode of
the television series
The West Wing“:

 

Original airdate: Sept. 22, 1999
Written by Aaron Sorkin

MARY MARSH
That New York sense of humor. It always–

CALDWELL
Mary, there’s absolutely no need…

MARY MARSH
Please, Reverend, they think they’re so much smarter. They think it’s smart talk. But nobody else does.

JOSH
I’m actually from Connecticut, but that’s neither here nor there. The point is that I hope…

TOBY
She meant Jewish.

[A stunned silence. Everyone stares at Toby.]

TOBY (CONT.)
When she said “New York sense of humor,” she was talking about you and me.

JOSH
You know what, Toby, let’s just not even go there.

 

Going There, Part I

 

Crown of Ideas

Kirk Varnedoe, 57, art historian and former curator of the Museum of Modern Art, died Thursday, August 14, 2003.

From his New York Times obituary:

” ‘He loved life in its most tangible forms, and so for him art was as physical and pleasurable as being knocked down by a wave,’ said Adam Gopnik, the writer and a former student of his who collaborated on Mr. Varnedoe’s first big show at the Modern, ‘High & Low.’ ‘Art was always material first — it was never, ever bound by a thorny crown of ideas.’ ”

For a mini-exhibit of ideas in honor of Varnedoe, see

Fahne Hoch.

Verlyn Klinkenborg on Varnedoe:

“I was always struck by the tangibility of the words he used….  It was as if he were laying words down on the table one by one as he used them, like brushes in an artist’s studio. That was why students crowded into his classes and why the National Gallery of Art had overflow audiences for his Mellon Lectures earlier this year. Something synaptic happened when you listened to Kirk Varnedoe, and, remarkably, something synaptic happened when he listened to you. You never knew what you might discover together.”

Perhaps even a “thorny crown of ideas“?

“Crown of Thorns”
Cathedral, Brasilia

Varnedoe’s death coincided with
the Great Blackout of 2003.

“To what extent does this idea of a civic life produced by sense of adversity correspond to actual life in Brasília? I wonder if it is something which the city actually cultivates. Consider, for example the cathedral, on the monumental axis, a circular, concrete framed building whose sixteen ribs are both structural and symbolic, making a structure that reads unambiguously as a crown of thorns; other symbolic elements include the subterranean entrance, the visitor passing through a subterranean passage before emerging in the light of the body of the cathedral. And it is light, shockingly so….”

Modernist Civic Space: The Case of Brasilia, by Richard J. Williams, Department of History of Art, University of Edinburgh, Scotland

 

Going There, Part II

Simple, Bold, Clear

Art historian Kirk Varnedoe was, of course, not the only one to die on the day of the Great Blackout.

Claude Martel, 34, a senior art director of The New York Times Magazine, also died on Thursday, August 14, 2003.

Janet Froelich, the magazine’s art director, describes below a sample of work that she and Martel did together:

“A new world of ideas”

Froelich notes that “the elements are simple, bold, and clear.”

For another example of elements with these qualities, see my journal entry

Fahne Hoch.

The flag design in that entry
might appeal to Aaron Sorkin’s
Christian antisemite:

 

Fahne,
S. H. Cullinane,
Aug. 15, 2003

Dr. Mengele,
according to
Hollywood

 

Note that the elements of the flag design have the qualities described so aptly by Froelich– simplicity, boldness, clarity:

They share these qualities with the Elements of Euclid, a treatise on geometrical ideas.

For the manner in which such concepts might serve as, in Gopnik’s memorable phrase, a “thorny crown of ideas,” see

“Geometry for Jews” in

ART WARS: Geometry as Conceptual Art.

See also the discussion of ideas in my journal entry on theology and art titled

Understanding: On Death and Truth

and the discussion of the wordidea” (as well as the word, and the concept, “Aryan”) in the following classic (introduced by poet W. H. Auden):

 

 

Saturday, August 16, 2003  6:00 AM

Varnedoe’s Crown

Kirk Varnedoe, 57, art historian and former curator of the Museum of Modern Art, died Thursday, August 14, 2003.

From his New York Times obituary:

” ‘He loved life in its most tangible forms, and so for him art was as physical and pleasurable as being knocked down by a wave,’ said Adam Gopnik, the writer and a former student of his who collaborated on Mr. Varnedoe’s first big show at the Modern, ‘High & Low.’ ‘Art was always material first — it was never, ever bound by a thorny crown of ideas.’ “

For a mini-exhibit of ideas in honor of Varnedoe, see

Fahne Hoch. 

Verlyn Klinkenborg on Varnedoe:

“I was always struck by the tangibility of the words he used….  It was as if he were laying words down on the table one by one as he used them, like brushes in an artist’s studio. That was why students crowded into his classes and why the National Gallery of Art had overflow audiences for his Mellon Lectures earlier this year. Something synaptic happened when you listened to Kirk Varnedoe, and, remarkably, something synaptic happened when he listened to you. You never knew what you might discover together.”

Perhaps even a “thorny crown of ideas”?

“Crown of Thorns”
Cathedral, Brasilia

Varnedoe’s death coincided with
the Great Blackout of 2003.

“To what extent does this idea of a civic life produced by sense of adversity correspond to actual life in Brasília? I wonder if it is something which the city actually cultivates. Consider, for example the cathedral, on the monumental axis, a circular, concrete framed building whose sixteen ribs are both structural and symbolic, making a structure that reads unambiguously as a crown of thorns; other symbolic elements include the subterranean entrance, the visitor passing through a subterranean passage before emerging in the light of the body of the cathedral. And it is light, shockingly so….”

Modernist Civic Space: The Case of Brasilia, by Richard J. Williams, Department of History of Art, University of Edinburgh, Scotland


Friday, August 15, 2003  3:30 PM

ART WARS:

The Boys from Brazil

It turns out that the elementary half-square designs used in Diamond Theory

 

also appear in the work of artist Nicole Sigaud.

Sigaud’s website The ANACOM Project  has a page that leads to the artist Athos Bulcão, famous for his work in Brasilia.

From the document

Conceptual Art in an
Authoritarian Political Context:
Brasilia, Brazil
,

by Angélica Madeira:

“Athos created unique visual plans, tiles of high poetic significance, icons inseparable from the city.”

As Sigaud notes, two-color diagonally-divided squares play a large part in the art of Bulcão.

The title of Madeira’s article, and the remarks of Anna Chave on the relationship of conceptual/minimalist art to fascist rhetoric (see my May 9, 2003, entries), suggest possible illustrations for a more politicized version of Diamond Theory:

 

Fahne,
S. H. Cullinane,
Aug. 15, 2003

Dr. Mengele,
according to
Hollywood

 

Is it safe?

These illustrations were suggested in part by the fact that today is the anniversary of the death of Macbeth, King of Scotland, and in part by the following illustrations from my journal entries of July 13, 2003 comparing a MOMA curator to Lady Macbeth:

 

Die Fahne Hoch,
Frank Stella,
1959


Dorothy Miller,
MOMA curator,
died at 99 on
July 11, 2003
.

 


Thursday, August 14, 2003  3:45 AM

Famous Last Words

The ending of an Aug. 14 Salon.com article on Mel Gibson’s new film, “The Passion”:

” ‘The Passion’ will most likely offer up the familiar puerile, stereotypical view of the evil Jew calling for Jesus’ blood and the clueless Pilate begging him to reconsider. It is a view guaranteed to stir anew the passions of the rabid Christian, and one that will send the Jews scurrying back to the dark corners of history.”

— Christopher Orlet

“Scurrying”?!  The ghost of Joseph Goebbels, who famously portrayed Jews as sewer rats doing just that, must be laughing — perhaps along with the ghost of Lady Diana Mosley (née Mitford), who died Monday.

This goes well with a story that Orlet tells at his website:

“… to me, the most genuine last words are those that arise naturally from the moment, such as

 

Joseph Goebbels

 

Voltaire’s response to a request that he foreswear Satan: ‘This is no time to make new enemies.’ ”

For a view of Satan as an old, familiar, acquaintance, see the link to Prince Ombra in my entry last October 29 for Goebbels’s birthday.


Wednesday, August 13, 2003  3:00 PM

Best Picture

For some reflections inspired in part by

click here.


Tuesday, August 12, 2003  4:44 PM

Atonement:

A sequel to my entry “Catholic Tastes” of July 27, 2003.

Some remarks of Wallace Stevens that seem appropriate on this date:

“It may be that one life is a punishment
For another, as the son’s life for the father’s.”

—  Esthétique du Mal, Wallace Stevens

Joseph Patrick Kennedy, Jr.

“Unless we believe in the hero, what is there
To believe? ….
Devise, devise, and make him of winter’s
Iciest core, a north star, central
In our oblivion, of summer’s
Imagination, the golden rescue:
The bread and wine of the mind….”

Examination of the Hero in a Time of War, Wallace Stevens

Etymology of “Atonement”:

Middle English atonen, to be reconciled, from at one, in agreement

At One

“… We found,
If we found the central evil, the central good….
… we and the diamond globe at last were one.”

Asides on the Oboe, Wallace Stevens


Tuesday, August 12, 2003  1:52 PM

Franken & ‘Stein,
Attorneys at Law

Tue August 12, 2003 04:10 AM ET
NEW YORK (Reuters) – Fox News Network is suing humor writer Al Franken for trademark infringement over the phrase ‘fair and balanced’ on the cover of his upcoming book, saying it has been ‘a signature slogan’ of the network since 1996.”

Franken:
Fair?

‘Stein:
Balanced?

For answers, click on the pictures
of Franken and ‘Stein.


Sunday, April 27, 2003

Sunday April 27, 2003

Filed under: General,Geometry — m759 @ 3:24 pm

ART WARS:

Graphical Password

From a summary of “The Design and Analysis of Graphical Passwords“:

“Results from cognitive science show that people can remember pictures much better than words….

The 5×5 grid creates a good balance between security and memorability.”

 Ian Jermyn, New York University; Alain Mayer, Fabian Monrose, Michael K. Reiter, Bell Labs, Lucent Technologies; Aviel Rubin, AT&T Labs — Research

Illustration — Warren Beatty as
a graphical password:

Town & Country,”
released April 27, 2001

Those who prefer the simplicity of a 3×3 grid are referred to my entry of Jan. 9, 2003, Balanchine’s Birthday.  For material related to the “Town & Country” theme and to Balanchine, see Leadbelly Under the Volcano (Jan. 27, 2003). (“Sometimes I live in the country, sometimes I live in town…” – Huddie Ledbetter).  Those with more sophisticated tastes may prefer the work of Stephen Ledbetter on Gershwin’s piano preludes or, in view of Warren Beatty’s architectural work in “Town & Country,” the work of Stephen R. Ledbetter on window architecture.

As noted in Balanchine’s Birthday, Apollo (of the Balanchine ballet) has been associated by an architect with the 3×3, or “ninefold” grid.  The reader who wishes a deeper meditation on the number nine, related to the “Town & Country” theme and more suited to the fact that April is Poetry Month, is referred to my note of April 27 two years ago, Nine Gates to the Temple of Poetry.

Intermediate between the simplicity of the 3×3 square and the (apparent) complexity of the 5×5 square, the 4×4 square offers an introduction to geometrical concepts that appears deceptively simple, but is in reality fiendishly complex.  See Geometry for Jews.  The moral of this megilla?

32 + 42 = 52.

But that is another story.

Friday, April 25, 2003

Friday April 25, 2003

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

Mark

Today is the feast of Saint Mark.  It seems an appropriate day to thank Dr. Gerald McDaniel for his online cultural calendar, which is invaluable for suggesting blog topics.

Yesterday's entry "Cross-Referenced" referred to a bizarre meditation of mine titled "The Matthias Defense," which combines some thoughts of Nabokov on lunacy with some of my own thoughts on the Judeo-Christian tradition (i.e., also on lunacy).  In this connection, the following is of interest:

From a site titled Meaning of the Twentieth Century —

"Freeman Dyson has expressed some thoughts on craziness. In a Scientific American article called 'Innovation in Physics,' he began by quoting Niels Bohr. Bohr had been in attendance at a lecture in which Wolfgang Pauli proposed a new theory of elementary particles. Pauli came under heavy criticism, which Bohr summed up for him: 'We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct. My own feeling is that is not crazy enough.' To that Freeman added: 'When a great innovation appears, it will almost certainly be in a muddled, incomplete and confusing form. To the discoverer, himself, it will be only half understood; to everyone else, it will be a mystery. For any speculation which does not at first glance look crazy, there is no hope!' "

Kenneth Brower, The Starship and the Canoe, 1979, pp. 146, 147

It is my hope that the speculation, implied in The Matthias Defense, that the number 162 has astonishing mystical properties (as a page number, article number, etc.) is sufficiently crazy to satisfy Pauli and his friend Jung as well as the more conventional thinkers Bohr and Dyson.  It is no less crazy than Christianity, and has a certain mad simplicity that perhaps improves on some of that religion's lunatic doctrines. 

Some fruits of the "162 theory" —

Searching on Google for muses 162, we find the following Orphic Hymn to Apollo and a footnote of interest:

27 Tis thine all Nature's music to inspire,
28 With various-sounding, harmonising lyre;
29 Now the last string thou tun'ft to sweet accord,
30 Divinely warbling now the highest chord….

"Page 162 Verse 29…. Now the last string…. Gesner well observes, in his notes to this Hymn, that the comparison and conjunction of the musical and astronomical elements are most ancient; being derived from Orpheus and Pythagoras, to Plato. Now, according to the Orphic and Pythagoric doctrine, the lyre of Apollo is an image of the celestial harmony…."

For the "highest chord" in a metaphorical sense, see selection 162 of the 1919 edition of The Oxford Book of English Verse (whose editor apparently had a strong religious belief in the Muses (led by Apollo)).  This selection contains the phrase "an ever-fixèd mark" — appropriately enough for this saint's day.  The word "mark," in turn, suggests a Google search for the phrase "runes to grave" Hardy, after a poem quoted in G. H. Hardy's A Mathematician's Apology.

Such a search yields a website that quotes Housman as the source of the "runes" phrase, and a further search yields what is apparently the entire poem:

Smooth Between Sea and Land

by A. E. Housman

Smooth between sea and land
Is laid the yellow sand,
And here through summer days
The seed of Adam plays.

Here the child comes to found
His unremaining mound,
And the grown lad to score
Two names upon the shore.

Here, on the level sand,
Between the sea and land,
What shall I build or write
Against the fall of night?

Tell me of runes to grave
That hold the bursting wave,
Or bastions to design
For longer date than mine.

Shall it be Troy or Rome
I fence against the foam
Or my own name, to stay
When I depart for aye?

Nothing: too near at hand
Planing the figured sand,
Effacing clean and fast
Cities not built to last
And charms devised in vain,
Pours the confounding main.

(Said to be from More Poems (Knopf, 1936), p. 64)

Housman asks the reader to tell him of runes to grave or bastions to design.  Here, as examples, are one rune and one bastion.

 


The rune known as
"Dagaz"

Represents
the balance point or "still point."


The Nike Bastion

 Dagaz: (Pronounced thaw-gauze, but with the "th" voiced as in "the," not unvoiced as in "thick") (Day or dawn.)

From Rune Meanings:

 Dagaz means "breakthrough, awakening, awareness. Daylight clarity as opposed to nighttime uncertainty. A time to plan or embark upon an enterprise. The power of change directed by your own will, transformation. Hope/happiness, the ideal. Security and certainty. Growth and release. Balance point, the place where opposites meet."

Also known as "the rune of transformation."

For the Dagaz rune in another context, see Geometry of the I Ching.  The geometry discussed there does, in a sense, "hold the bursting wave," through its connection with Walsh functions, hence with harmonic analysis.

 Temple of Athena Nike on the Nike Bastion, the Acropolis, Athens.  Here is a relevant passage from Paul Valéry's Eupalinos ou L'Architecte about another temple of four columns:

Et puis… Écoute, Phèdre (me disait-il encore), ce petit temple que j'ai bâti pour Hermès, à quelques pas d'ici, si tu savais ce qu'il est pour moi ! — Où le passant ne voit qu'une élégante chapelle, — c'est peu de chose: quatre colonnes, un style très simple, — j'ai mis le souvenir d'un clair jour de ma vie. Ô douce métamorphose ! Ce temple délicat, nul ne le sait, est l'image mathématique d'une fille de Corinthe que j'ai heureusement aimée. Il en reproduit fidèlement les proportions particulières. Il vit pour moi !

Four columns, in a sense more suited to Hardy's interests, are also a recurrent theme in The Diamond 16 Puzzle and Diamond Theory.

Apart from the word "mark" in The Oxford Book of English Verse, as noted above, neither the rune nor the bastion discussed has any apparent connection with the number 162… but seek and ye shall find.
 

Friday, December 6, 2002

Friday December 6, 2002

Filed under: General — m759 @ 1:06 pm

Great Simplicity

Frank Tall

Iaido

 

Daisetsu

 

 

Today

is the day that Daisetsu Suzuki attained satori,
according to the Zen Calendar.  “Daisetsu” is
said to mean “Great Simplicity.”

For those who prefer Harry Potter and
Diagon Alley, here is another calendar:


To Have and Have Not

Those who prefer traditional Western religions may like a site on the Trinity that contains this:

“Zen metaphysics is perhaps most succinctly set forth in the words ‘not-two.”  But even when he uses this expression, Suzuki is quick to assert that it implies no monism.  Not-two, it is claimed, is not the same as one.*  But when Suzuki discusses the relationship of Zen with Western mysticism, it is more difficult to escape the obvious monistic implications of his thinking.  Consider the following:

We are possessed of the habit of looking at Reality by dividing it into two… It is all due to the human habit of splitting one solid Reality into two, and the result is that my ‘have’ is no ‘have’ and my ‘have not’ is no ‘have not.’  While we are actually passing, we insist that the gap is impassable.**”

*See: Daisetz T. Suzuki, ‘Basic Thoughts Underlying  Eastern Ethical and Social Practice’ in Philosophy and Culture  East and West: East-West Philosophy in Practical Perspective, ed. Charles A. Moore (Honolulu: University of Hawaii Press, 1968), p. 429

** Daisetsu Teitaro Suzuki, Mysticism Christian and Buddhist (London: George Allen & Unwin, 1957, Unwin paperback, 1979), p. 57.


Personally, I am reminded by Suzuki’s satori on this date that today is the eve of the anniversary of Pearl Harbor.  I am also reminded by the rather intolerant tract on the Trinity quoted above that the first atomic bomb was exploded in the New Mexico desert at a test site named Trinity.  Of course, sometimes intolerance is justified.

Concluding unscientific postscript:

On the same day in 1896 that D. T. Suzuki attained satori,
lyricist Ira Gershwin was born.

Dies irae, dies illa.

Saturday, August 31, 2002

Saturday August 31, 2002

Filed under: General,Geometry — m759 @ 3:36 am
Today’s birthday: Dr. Maria Montessori

THE MONTESSORI METHOD: CHAPTER VI

HOW LESSONS SHOULD BE GIVEN

“Let all thy words be counted.”
Dante, Inf., canto X.

CONCISENESS, SIMPLICITY, OBJECTIVITY.

…Dante gives excellent advice to teachers when he says, “Let thy words be counted.” The more carefully we cut away useless words, the more perfect will become the lesson….

Another characteristic quality of the lesson… is its simplicity. It must be stripped of all that is not absolute truth…. The carefully chosen words must be the most simple it is possible to find, and must refer to the truth.

The third quality of the lesson is its objectivity. The lesson must be presented in such a way that the personality of the teacher shall disappear. There shall remain in evidence only the object to which she wishes to call the attention of the child….

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

Mathematicians mean something different by the phrase “block design.”

A University of London site on mathematical design theory includes a link to my diamond theory site, which discusses the mathematics of the sorts of visual designs that Professor Pope is demonstrating. For an introduction to the subject that is, I hope, concise, simple, and objective, see my diamond 16 puzzle.

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