"… the tip of a horribly large and scary iceberg…."
— Harvard Law emeritus professor Laurence Tribe talking with
Erin Burnett tonight about a newly unsealed Jack Smith document.
* Quod vide.
"… the tip of a horribly large and scary iceberg…."
— Harvard Law emeritus professor Laurence Tribe talking with
Erin Burnett tonight about a newly unsealed Jack Smith document.
* Quod vide.
The November 6, 1954, Saturday Review date
in the previous post suggests a flashback, from
those available online, to a couple of days earlier
in November 1954 —
Click for an enlargeable PDF version.
For two of the characters in these pictures, see Crux.
"At age eighteen, Ensslin spent a year in the United States,
where she attended high school in Warren, Pennsylvania.
She graduated in the Honor Group at Warren High School
in 1959." — Wikipedia
See also posts tagged Crux in this journal.
Some context —
The above title is from Wallace Stevens.
Related meditations — This journal on March 9, 2021, and . . .
See as well recent posts in this journal
now tagged The Chinese Room Experiment.
For the source of the above Wallace Stevens phrase, see (for instance) . . .
The above weblog post on Stevens is dated November 17, 2010.
Posts in this weblog on that same date and its eve are now tagged . . .
Related Scholarly Remarks:
This post was suggested by the 2019 film “Synchronic,”
by Google News this morning . . .
. . . and by posts tagged Crux in this journal.
This post was suggested by a David Justice weblog post yesterday,
Coincidence and Cosmos. Some related remarks —
“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”
— Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
See as well posts now tagged Crux.
"Let us consider the crux of Hopkins' sensibility…"
Seeking claritas :
From a "cube tales" post of June 21 —
The number "six" in the second tale above counts faces of the cube,
as shown in a post of June 23 —
". . . Then the universe exploded into existence . . . ."
A Warren, Pennsylvania, newspaper article from May 12, 2018,
“A terrorist among them,” quotes Ann Creal of Warren on
schooldays of the late 1950’s and on a German exchange student,
Gudrun Ensslin, who later became famous for her violent political
activities:
“She said Ensslin dated while here (the man
she identified as Ensslin’s date told the Times Observer
he had no recollection of her).”
I am the man that was identified as Ensslin’s date, and I still
have no recollection of her.
Ann Creal is the former Ann Fuellhart, who was a college freshman
in the fall of 1959, when I was a high school senior —
Ann Creal apparently confused me with Scott Mohr, who
graduated from Warren High School in 1958. See the Log24
posts Crux and Doppelgänger.
This journal on April 16, 2018 —
Happy birthday to Pope Emeritus Benedict XVI.
Related material from another weblog in a post also dated April 16, 2018 —
"As I write this, it’s April 5, midway through the eight-day
festival of Passover. During this holiday, we Jews air our
grievances against the ancient Pharaoh who enslaved
and oppressed us, and celebrate the feats of strength
with which the Almighty delivered us from bondage —
wait a minute, I think I’m mixing up Passover with Festivus."
. . . .
"Next month: Time and Tesseracts."
From that next post, dated May 16, 2018 —
"The tesseract entered popular culture through
Madeleine L’Engle’s 'A Wrinkle in Time' . . . ."
The post's author, James Propp, notes that
" L’Engle caused some of her readers confusion
when one of the characters … the prodigy
Charles Wallace Murray [sic ] , declared 'Well, the fifth
dimension’s a tesseract.' "
Propp is not unfamiliar with prodigies:
"When I was a kid living in the Long Island suburbs,
I sometimes got called a math genius. I didn’t think
the label was apt, but I didn’t mind it; being put in
the genius box came with some pretty good perks."
— "The Genius Box," a post dated March 16, 2018
To me, Propp seems less like Charles Wallace
and more like the Prime Coordinator —
For further details, see the following synchronicity checks:
Or: "What Dreams May Come"
(For the foxtail girl)
"Most religious beliefs are not true. But here’s the crux.
The emotional brain doesn’t care. It doesn’t operate on
the grounds of true and false. Emotions are not true or false.
Even a terrible fear inside a dream is still a terrible fear."
— Stephen T. Asma in the New York Times philosophy
column "The Stone" today
See also Triple Cross.
In greater depth:
Posts tagged on131004, a tag derived from a date in
a Google search today …
For enthusiasts of symbology, a webpage illustrated here this morning —
This morning's review of this Ajna webpage was suggested by posts from
the Oct. 4, 2013, date in the Google crux search above.
From a 2003 obituary of author Neil Postman —
"In Amusing Ourselves to Death: Public Discourse
in the Age of Show Business (Viking, 1985; Penguin, 1986),
he indicted the television industry on the charge of making
entertainment out of the world's most serious problems.
The book was translated into eight languages and sold
200,000 copies worldwide, according to N.Y.U."
Postman reportedly died on Sunday, Oct. 5, 2003.
Log24 on that date —
Art Theory for Yom Kippur and Ado.
See also today's obituary reporting the May 21 death of Postman's
erstwhile agent Elaine Markson.
This journal on May 21, in a post titled "Crux" —
"Chance became tied to the liberties
of U.S. democracy, whereas its eradication
or denial became symptomatic of Soviet tyranny."
— Google Books description of No Accident, Comrade:
Chance and Design in Cold War American Narrative,
by Steven Belletto, Oxford U. Press (first published
in hardcover on Dec. 28, 2011)
Midrash —
Click the image for related posts.
Illustration for a Warren Times Observer story of May 12, 2018 —
Related literary background —
Iacta est.
"That's the crux of it, brother."
— William Monahan's "Mojave" script
See as well a related post on
Sunset and Selma, LA.
The New York Times this evening at 8:07 PM ET —
"Richard Oldenburg, who as the longtime director
of the Museum of Modern Art in New York City
oversaw blockbuster exhibitions of Picasso,
Matisse and Cézanne and a transformative
expansion that doubled its exhibition space in the
1980s, died on Tuesday at his home in Manhattan.
He was 84." — Richard Sandomir [Link added.]
See also "the crux of the matter" in a Tuesday post
and the crux from 4 PM ET today.
"Can you bring me some players?"
— Molly Bloom in "Molly's Game"
Happy birthday to Pope Emeritus Benedict XVI.
This journal on December 24, 2016 (Christmas Eve)
quoted some remarks on "constructivism" in art and
added a link to the same word as applied in mathematics:
"The word 'constructivism' also refers to
a philosophy of mathematics. See a Log24 post,
'Constructivist Witness' . . . ."
From that post —
From a post later the same day, Dec. 22— "The Laugh-Hospital"—
This (Jan. 2, 2017) post was suggested by the reported Christmas Eve death
of a Jesuit priest, Joseph Fitzmyer.
Those entertained by the thought of constructivist laugh-hospitals may
contemplate the New Year's Eve death of a sitcom actor who played
a priest. See today's previous post, Sitcom Theology.
Related material — "Laugh Track" in this journal.
"… I would drop the keystone into my arch …."
— Charles Sanders Peirce, "On Phenomenology"
" 'But which is the stone that supports the bridge?' Kublai Khan asks."
— Italo Calvino, Invisible Cities, as quoted by B. Elan Dresher.
(B. Elan Dresher. Nordlyd 41.2 (2014): 165-181,
special issue on Features edited by Martin Krämer,
Sandra Ronai and Peter Svenonius. University of Tromsø –
The Arctic University of Norway.
http://septentrio.uit.no/index.php/nordlyd)
Peter Svenonius and Martin Krämer, introduction to the
Nordlyd double issue on Features —
"Interacting with these questions about the 'geometric'
relations among features is the algebraic structure
of the features."
For another such interaction, see the previous post.
This post may be viewed as a commentary on a remark in Wikipedia —
"All of these ideas speak to the crux of Plato's Problem…."
See also The Diamond Theorem at Tromsø and Mere Geometry.
X Marks the Spot scene, "The Last Crusade"
For those who prefer the T in SPOT —
Knock, Knock, Knockin' —
A Scene from "Tomorrowland" —
A fan of the declining US space program
knocks on George Clooney's door
For related remarks on the decline of NASA,
see an essay at the World Socialist Web Site
from August 19, 2011.
"Francis Bacon used the phrase instantia crucis, 'crucial instance,' to refer to something in an experiment that proves one of two hypotheses and disproves the other. Bacon's phrase was based on a sense of the Latin word crux, 'cross,' which had come to mean 'a guidepost that gives directions at a place where one road becomes two,' and hence was suitable for Bacon's metaphor."
– The American Heritage® Dictionary of the English Language, Fourth Edition
Such a cross: St. Andrew's. Some context—
X Marks the Spot scene, "The Last Crusade"
Related symbology for Dan Brown—
"Epistulae ad familiares" (adfamiliares for short) at livejournal.com—
"Prefatory notes evoke a Republic of Letters— or at least an academic support group— in which the writer claims membership. In fact, they often describe something much more tenuous, the group of those who the author wishes had read his work, offered him references, or at least given him the time of day. Hence they retain something of the literary— not to say fictional— quality of traditional poets' prayers." (Anthony Grafton, The Footnote: A Curious History)
P.S. This book rules. Why did I wait so long to read it?
* See a definition. See also this journal's previous post, Patterns in the Carpets. As for "those who the author wishes had read his work," see a quotation from an author mentioned in that post, Greg Egan, that seems relevant to the suicide outside Harvard's Memorial Church last Saturday during the morning Yom Kippur service—
… The word "transhumanism" (or, even worse, "posthumanism") sounds like a suicide note for the species, which effectively renders it a political suicide note for any movement by that name. No doubt there are people prepared to spend 90% of their time and energy explaining that they didn't intend any negative connotations, but this is not one of those cases where other people will be to blame if "transhumanists" are reviled as the enemies of humanity on purely linguistic grounds. It's no use people proclaiming "Please, read my 1,000-page manifesto, don't just look at one word!"….
— Greg Egan on April 23, 2008,** at Metamagician and the Hellfire Club
Related material— A livejournal note on the Memorial Church suicide, nihilism, and a "final crux."
** Footnote to a footnote— See also Log24 on April 23, 2008— Shakespeare's birthday.
An online tribute to Tim Russert
this morning had a song by a
Russert favorite, Bruce Springsteen:
and the
five Log24 entries
ending on July 20, 2006,
which contain the following
example of what might be
caled "sacred order"
(see yesterday's entries)–
See also "Grave Matters" here
on November 8, 2006, and
the same date four years earlier,
as well as
"O Grave, Where Is Thy Victory?"
(pdf), a lecture by Jack Miles
at Clark Art Institute
(see Oct. 7-9, 2002)
on November 9, 2002.
The Miles lecture may be of
more comfort to Russert's
mourners than the
cross/wheel symbolism,
which has its dark side.
The cross, the wheel,
the Catholic faith, and
Russert's field of expertise,
politics, are of course
notably combined in the
crux gammata, discussed
here in a 2002 entry on
the Triumph of the Cross
and the Death of Grace
(Princess of Monaco).
“It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy.”
— Simon Blackburn, Think (Oxford, 1999)
Michael Harris, mathematician at the University of Paris:
“… three ‘parts’ of tragedy identified by Aristotle that transpose to fiction of all types– plot (mythos), character (ethos), and ‘thought’ (dianoia)….”
— paper (pdf) to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.
Mythos —
A visitor from France this morning viewed the entry of Jan. 23, 2006: “In Defense of Hilbert (On His Birthday).” That entry concerns a remark of Michael Harris.
A check of Harris’s website reveals a new article:
“Do Androids Prove Theorems in Their Sleep?” (slighly longer version of article to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.) (pdf).
From that article:
“The word ‘key’ functions here to structure the reading of the article, to draw the reader’s attention initially to the element of the proof the author considers most important. Compare E.M. Forster in Aspects of the Novel:
[plot is] something which is measured not be minutes or hours, but by intensity, so that when we look at our past it does not stretch back evenly but piles up into a few notable pinnacles.”
Ethos —
“Forster took pains to widen and deepen the enigmatic character of his novel, to make it a puzzle insoluble within its own terms, or without. Early drafts of A Passage to India reveal a number of false starts. Forster repeatedly revised drafts of chapters thirteen through sixteen, which comprise the crux of the novel, the visit to the Marabar Caves. When he began writing the novel, his intention was to make the cave scene central and significant, but he did not yet know how:
When I began a A Passage to India, I knew something important happened in the Malabar (sic) Caves, and that it would have a central place in the novel– but I didn’t know what it would be… The Malabar Caves represented an area in which concentration can take place. They were to engender an event like an egg.”
— E. M. Forster: A Passage to India, by Betty Jay
Dianoia —
“Despite the flagrant triviality of the proof… this result is the key point in the paper.”
— Michael Harris, op. cit., quoting a mathematical paper
Online Etymology Dictionary:
flagrant c.1500, “resplendent,” from L. flagrantem (nom. flagrans) “burning,” prp. of flagrare “to burn,” from L. root *flag-, corresponding to PIE *bhleg– (cf. Gk. phlegein “to burn, scorch,” O.E. blæc “black”). Sense of “glaringly offensive” first recorded 1706, probably from common legalese phrase in flagrante delicto “red-handed,” lit. “with the crime still blazing.”
A related use of “resplendent”– applied to a Trinity, not a triviality– appears in the Liturgy of Malabar:
— The Liturgies of SS. Mark, James, Clement, Chrysostom, and Basil, and the Church of Malabar, by the Rev. J.M. Neale and the Rev. R.F. Littledale, reprinted by Gorgias Press, 2002
Judy Davis in the Marabar Caves
In mathematics
(as opposed to narrative),
somewhere between
a flagrant triviality and
a resplendent Trinity we
have what might be called
“a resplendent triviality.”
For further details, see
“A Four-Color Theorem.”
Kate Beckinsale, adapted from
poster for Underworld: Evolution
(DVD release date 6/6/6)
"Appropriating the Button-molder's
words to Peer Gynt, he would say,
'We'll meet at the next crossroads…
and then we'll see–
I won't say more.'"
From the Online Etymology Dictionary:
crucial – 1706, from Fr. crucial… from L. crux (gen. crucis) “cross.” The meaning “decisive, critical” is extended from a logical term, Instantias Crucis, adopted by Francis Bacon (1620); the notion is of cross fingerboard signposts* at forking roads, thus a requirement to choose.
“… given the nature of our intellectual commerce with works of art, to lack a persuasive theory is to lack something crucial— the means by which our experience of individual works is joined to our understanding of the values they signify.”
— Hilton Kramer in The New York Times, April 28, 1974
“I realized that without making the slightest effort I had come upon one of those utterances in search of which psychoanalysts and State Department monitors of the Moscow or Belgrade press are willing to endure a lifetime of tedium: namely, the seemingly innocuous obiter dicta, the words in passing, that give the game away.
What I saw before me was the critic-in-chief of The New York Times saying: In looking at a painting today, ‘to lack a persuasive theory is to lack something crucial.’ I read it again. It didn’t say ‘something helpful’ or ‘enriching’ or even ‘extremely valuable.’ No, the word was crucial….
The more industrious scholars will derive considerable pleasure from describing how the art-history professors and journalists of the period 1945-75, along with so many students, intellectuals, and art tourists of every sort, actually struggled to see the paintings directly, in the old pre-World War II way, like Plato’s cave dwellers watching the shadows, without knowing what had projected them, which was the Word.”
— Tom Wolfe, The Painted Word
For some related material from the next 30 years, 1976-2006, see Art Wars.
* “Note that in the original Latin, the term is not by any means ‘fingerpost’ but simply ‘cross’ (Latin Crux, crucis) – a root term giving deeper meaning to the ‘crucial’ decision as to which if any of the narratives are ‘true,’ and echoing the decisive ‘crucifixion’ revealed in the story.”
Instantia Crucis
"Francis Bacon used the phrase instantia crucis, 'crucial instance,' to refer to something in an experiment that proves one of two hypotheses and disproves the other. Bacon's phrase was based on a sense of the Latin word crux, 'cross,' which had come to mean 'a guidepost that gives directions at a place where one road becomes two,' and hence was suitable for Bacon's metaphor."
— The American Heritage® Dictionary of the English Language, Fourth Edition
The high notes hit by Harriet Wheeler, Jen Slocumb, and Alanis Morissette can, I am sorry to say, be excruciating. (See previous entry.) I greatly prefer the mellow tones of Mary Chapin Carpenter:
"I guess you're never really all alone, |
From an entry of 12/22/02:
|
A white horse comes as if on wings.
— I Ching, Hexagram 22: Grace
See also
Plato, Pegasus, and the Evening Star,
Shining Forth, and
Carpenter's song quoted above
is from the album
Between Here and Gone,
released April 27, 2004.
O'Hara's Fingerpost
In The New York Times Book Review of next Sunday (August 24, 2003), Book Review editor Charles McGrath writes that author John O'Hara
"… discovered a kind of story… in which a line of dialogue or even a single observed detail indicates that something crucial has changed."
From the Online Etymology Dictionary:
crucial – 1706, from Fr. crucial… from L. crux (gen. crucis) "cross." The meaning "decisive, critical" is extended from a logical term, Instantias Crucis, adopted by Francis Bacon (1620); the notion is of cross fingerboard signposts at forking roads, thus a requirement to choose.
The remainder of this note deals with the "single observed detail" 162.
|
Instantias Crucis
Francis Bacon says
"Among Prerogative Instances I will put in the fourteenth place Instances of the Fingerpost, borrowing the term from the fingerposts which are set up where roads part, to indicate the several directions. These I also call Decisive and Judicial, and in some cases, Oracular and Commanding Instances. I explain them thus. When in the investigation of any nature the understanding is so balanced as to be uncertain to which of two or more natures the cause of the nature in question should be assigned on account of the frequent and ordinary concurrence of many natures, instances of the fingerpost show the union of one of the natures with the nature in question to be sure and indissoluble, of the other to be varied and separable; and thus the question is decided, and the former nature is admitted as the cause, while the latter is dismissed and rejected. Such instances afford very great light and are of high authority, the course of interpretation sometimes ending in them and being completed. Sometimes these instances of the fingerpost meet us accidentally among those already noticed, but for the most part they are new, and are expressly and designedly sought for and applied, and discovered only by earnest and active diligence."
Inter praerogativas instantiarum, ponemus loco decimo quarto Instantias Crucis; translato vocabulo a Crucibus, quae erectae in biviis indicant et signant viarum separationes. Has etiam Instantias Decisorias et Judiciales, et in casibus nonnullis Instantias Oraculi et Mandati, appellare consuevimus. Earum ratio talis est. Cum in inquisitione naturae alicujus intellectus ponitur tanquam in aequilibrio, ut incertus sit utri naturarum e duabus, vel quandoque pluribus, causa naturae inquisitae attribui aut assignari debeat, propter complurium naturarum concursum frequentem et ordinarium, instantiae crucis ostendunt consortium unius ex naturis (quoad naturam inquisitam) fidum et indissolubile, alterius autem varium et separabile ; unde terminatur quaestio, et recipitur natura illa prior pro causa, missa altera et repudiata. Itaque hujusmodi instantiae sunt maximae lucis, et quasi magnae authoritatis; ita ut curriculum interpretationis quandoque in illas desinat, et per illas perficiatur. Interdum autem Instantiae Crucis illae occurrunt et inveniuntur inter jampridem notatas; at ut plurimum novae sunt, et de industria atque ex composito quaesitae et applicatae, et diligentia sedula et acri tandem erutae.
— Francis Bacon, Novum Organum, Book Two, "Aphorisms," Section XXXVI
A Cubist Crucifixion
An alternate translation:
"When in a Search of any Nature the Understanding stands suspended, the Instances of the Fingerpost shew the true and inviolable Way in which the Question is to be decided. These Instances afford great Light…"
From a review by Adam White Scoville of Iain Pears's novel titled An Instance of the Fingerpost:
"The picture, viewed as a whole, is a cubist description, where each portrait looks strikingly different; the failings of each character's vision are obvious. However, in a cubist painting the viewer often can envision the subject in reality. Here, even after turning the last page, we still have a fuzzy view of what actually transpired. Perhaps we are meant to see the story as a cubist retelling of the crucifixion, as Pilate, Barabbas, Caiaphas, and Mary Magdalene might have told it. If so, it is sublimely done so that the realization gradually and unexpectedly dawns upon the reader. The title, taken from Sir Francis Bacon, suggests that at certain times, 'understanding stands suspended' and in that moment of clarity (somewhat like Wordsworth's 'spots of time,' I think), the answer will become apparent as if a fingerpost were pointing at the way. The final narrative is also titled An Instance of the Fingerpost, perhaps implying that we are to see truth and clarity in this version. But the biggest mystery of this book is that we have actually have no reason to credit the final narrative more than the previous three and so the story remains an enigma, its truth still uncertain."
For the "162" enigma, see
The Matthias Defense, and
The Still Point and the Wheel.
See also the December 2001 Esquire and
the conclusion of my previous entry.
September 14:
Triumph of the Cross
and Death of
Princess Grace of Monaco
September 13 was the feast day of St. John Chrysostom.
From the Catholic Encyclopedia:
“St. John Chrysostom more than once in his writings makes allusion to the adoration of the cross; one citation will suffice: ‘Kings removing their diadems take up the cross, the symbol of their Saviour’s death; on the purple, the cross; in their prayers, the cross; on their armour, the cross; on the holy table, the cross; throughout the universe, the cross. The cross shines brighter than the sun.'”
Today, September 14, is the feast day of the Triumph of
“The primitive form of the cross seems to have been that of the so-called ‘gamma’ cross (crux gammata), better known to Orientalists and students of prehistoric archæology by its Sanskrit name, swastika.”
— The Catholic Encyclopedia, Volume IV
Copyright © 1908
by Robert Appleton Company
Online Edition Copyright © 1999
by Kevin Knight
Nihil Obstat.
Remy Lafort, Censor
Imprimatur.
+John M. Farley,
Archbishop of New York
Later writers might choose to omit the above sentence, published in 1908, but, as Pilate said, “Quod scripsi, scripsi.” For modern times, this quotation is perhaps best translated into German, the language of modern Pilates:
Was ich geschrieben habe,
habe ich geschrieben.
It might well be accompanied by another translation from the same website, which renders the “Ora et labora” of St. Benedict as
Bete und arbeite!
and, indeed, by a classic quotation from twentieth-century German Christian thought:
ARBEIT MACHT FREI.
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