Addendum —
 See also Symplectic Structure and Stevens's Rock. |
Saturday, October 31, 2015
Weaving World…
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Raiders of the Lost Crucible
Stanford Encyclopedia of Philosophy
on the date Friday, April 5, 2013 —
“First published Tue Sep 24, 1996;
substantive revision Fri Apr 5, 2013”
This journal on the date Friday, April 5, 2013 —
The object most closely resembling a “philosophers’ stone”
that I know of is the eightfold cube .
For some related philosophical remarks that may appeal
to a general Internet audience, see (for instance) a website
by I Ching enthusiast Andreas Schöter that displays a labeled
eightfold cube in the form of a lattice diagram —
Related material by Schöter —
A 20-page PDF, “Boolean Algebra and the Yi Jing.”
(First published in The Oracle: The Journal of Yijing Studies ,
Vol 2, No 7, Summer 1998, pp. 19–34.)
I differ with Schöter’s emphasis on Boolean algebra.
The appropriate mathematics for I Ching studies is,
I maintain, not Boolean algebra but rather Galois geometry.
See last Saturday’s post Two Views of Finite Space.
Unfortunately, that post is, unlike Schöter’s work, not
suitable for a general Internet audience.
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Friday, October 30, 2015
For Scientific Witch Hunters*
Motto selected by an Oslo artist —
Illustration selected by The Boston Globe —
Notes on perspective selected at Log24 —
* I.e. , those who hunt witches scientifically,
or those who hunt scientific witches —
a matter of, as it were, perspective.
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The Eight
“Continue a search for thirty-three and three.
Veiled forever is the secret door.”
— Katherine Neville, aka Cat Velis, in The Eight,
Ballantine Books, January 1989, page 140
"Close enough for government work."
— Stephen King in Doctor Sleep
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Thursday, October 29, 2015
Verhexung
When shall we three meet again?
"Carnap, Tarski and Quine met together in 1940-1941 at Harvard
to discuss their views on the nature of language and the differences
between logic, mathematics and science. In this remarkable book
Greg Frost-Arnold presents Carnap’s extensive notes on these
meetings. Frost-Arnold also includes an elegant translation and a
detailed commentary that sets the notes in their philosophical context
and demonstrates their importance for many central debates about
the history of analytic philosophy. This book marks a decisive advance
in our understanding of the philosophical views of Carnap, Tarski and
Quine, and is essential reading for all who work on these topics."
— Christopher Pincock, The Ohio State University
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Priest Logic
Versus the Hobgoblins of Emerson Hall
"A foolish consistency is the hobgoblin of little minds."
— Ralph Waldo Emerson
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Oslo Halloween
(Suggested by the latest Instagram post of Oslo artist Josefine Lyche)
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Wednesday, October 28, 2015
The Tummelplatz of Jerusalem
A check of recent tweets by Alexander Bogomolny, who was
mentioned in the previous post, yields a remark of Oct. 26, 2015…
This is not unrelated to a word from Freud:
See as well "Digging Out the Truth?" (Jerusalem Post 2/25/2010)
and Michener's The Source in this journal.
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Symmetry Framed
The cover of the K. O. Friedrichs book From Pythagoras to Einstein
shown in the previous post suggests a review (click the Log24
images for webpages where they can be manipulated) ….
The "more sophisticated" link in the first image above
leads to a webpage by Alexander Bogomolny,
"Pythagoras' Theorem by Tessellation," that says
"This is a subtle and beautiful proof."
Bogomolny refers us to the Friedrichs book, from which one of
the illustrations of the proof by tessellation is as follows —
For a quite different use of superposition, see
The Lindbergh Manifesto (May 19, 2015).
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Assistance in Vienna
|
The Vienna Review
In the 38th annual Freud Lecture, Siri Hustvedt by Stephen Doyle on June 14, 2011
It’s May 6, the 155th anniversary of the birth of |
From this journal on the date of the above Freud lecture —
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The Tummelplatz Thesis
The following is an excerpt from
"Tummelplatz: Exploring playgrounds for creative
collaborations — A qualitative study of generative
dynamics within temporary work contexts,"
by Emily Moren Aanes and Dragana Trifunović.
(Master's thesis, Oslo, 2013).
Related material: Josefine Lyche in this journal.
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Tuesday, October 27, 2015
On Ice-Breaking
"… ein Buch muß die Axt sein für das gefrorene Meer in uns." — Franz Kafka
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Monday, October 26, 2015
Expanding the Seagram Spielraum
From the previous post, Expanding the Spielraum —
"The knights and squires of nearby Ambras used to let their
steeds romp here, whence came the name Tummelplatz ."
— Quelle: Ludwig von Hörmann, "Der Tummelplatz bei Amras,"
in: Der Alpenfreund , 1. Band, Gera 1870, S. 72 – 73.
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Expanding the Spielraum
Halloween meditation on the Tummelplatz at Innsbruck —
"Die Ritter und Knappen des nahegelegenen Ambras
pflegten hier ihre Rosse zu tummeln, woher sich auch
der Name Tummelplatz schreibt."
"The knights and squires of nearby Ambras used to let their
steeds romp here, whence came the name Tummelplatz ."
— Quelle: Ludwig von Hörmann, "Der Tummelplatz bei Amras,"
in: Der Alpenfreund , 1. Band, Gera 1870, S. 72 – 73.
See as well Sigmund Freud, Erinnern, Wiederholen und Durcharbeiten
(1914) —
"Wir eröffnen ihm die Übertragung als den Tummelplatz ,
auf dem ihm gestattet wird, sich in fast völliger Freiheit
zu entfalten, und auferlegt ist, uns alles vorzuführen,
was sich an pathogenen Trieben im Seelenleben des
Analysierten verborgen hat."
"We admit it into the transference as a playground
in which it is allowed to expand in almost complete freedom
and in which it is expected to display to us everything in the
way of pathogenic instincts that is hidden in the patient's mind."
This passage has been discussed by later psychotherapists,
notably Russell Meares. Dr. Meares, working from a translation
that has "playground" for Freud's Tummelplatz , uses Spielraum
in place of Freud's own word.
For related material in this journal, see Expanding the Spielraum.
An illustration from that search —
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Art and Theology
Yesterday's nonsense from The New York Times suggests
a better example of cultural criticism is needed. Try this …
The opening paragraph of "The many faces of Pablo Picasso,"
by Peter Conrad, at theguardian.com on Saturday,
7 February, 2009, 19.01 EST* —
"Picasso," the surrealist poet Paul Eluard said,
"paints like God or the devil." Picasso favoured
the first option. "I am God," he was once heard
telling himself. He muttered the mantra three
times, boasting of his power to animate and
enliven the visible world. Any line drawn by
his hand pulsed with vitality; when he looked
at it, a bicycle seat and its handlebar could
suddenly turn into the horned head of a bull.
But he also took a diabolical pleasure in
warping appearances, deforming faces and
twisting bodies, subjecting reality to a
tormenting inquisition.
As noted here, yesterday was the birth date (in 1811) of Galois.
It was also the birth date (in 1881) of Picasso.
Related material from the 2009 date* of the Conrad article —
The Log24 post "Childish Things." For those who deeply
dislike Picasso, there is also an 1880 opening illustration
to Hans Christian Andersen's The Snow Queen —
Story the First,
Which Describes a Looking-Glass
and the Broken Fragments
"You must attend to the commencement
of this story, for when we get to the end
we shall know more than we do now about
a very wicked hobgoblin; he was one of the
very worst, for he was a real demon."
Houghton Mifflin edition of 1880, Riverside Press, Cambridge
Click the above illustration for related posts in this journal.
* Also dated the following day, to correspond to the 00.01 GMT publication
time of The Guardian 's Sunday version, The Observer , in which it appeared.
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Sunday, October 25, 2015
Buyers and Sellers of Children
(Continued.)
Featured on this morning's online front page of
The New York Times —
Some further details —
An example of New York Times culture is shown above —
"… Mondrian paintings at the Museum of Modern Art
blend symmetry with a tensile volatility."
(To be fair, this contemptible bullshit is from a picture caption,
not from the art review being summarized.)
Related cultural observations —
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Celtic Cross
The above illustrations are
from posts tagged
"Universe of Discourse."
Happy birthday to Évariste Galois, who may
prefer a mathematical, not religious,
interpretation of the above Celtic cross.
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Saturday, October 24, 2015
The Academy Strikes Back
The previous two posts touched on two academic
pursuits, mathematics and football. These are united
in the vesica piscis symbol. See posts tagged
"Universe of Discourse."
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Two Views of Finite Space
The following slides are from lectures on “Advanced Boolean Algebra” —
The small Boolean spaces above correspond exactly to some small
Galois spaces. These two names indicate approaches to the spaces
via Boolean algebra and via Galois geometry .
A reading from Atiyah that seems relevant to this sort of algebra
and this sort of geometry —
” ‘All you need to do is give me your soul: give up geometry
and you will have this marvellous machine.’ (Nowadays you
can think of it as a computer!) “
Related material — The article “Diamond Theory” in the journal
Computer Graphics and Art , Vol. 2 No. 1, February 1977. That
article, despite the word “computer” in the journal’s title, was
much less about Boolean algebra than about Galois geometry .
For later remarks on diamond theory, see finitegeometry.org/sc.
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Friday, October 23, 2015
Square Inch Space (Continued*)
* See "Square Inch Space" in this journal.
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Retro or Not?
Happy birthday to the late Michael Crichton (Harvard '64).
See also Diamond Theory Roulette —
Part of the ReCode Project (http://recodeproject.com). Based on "Diamond Theory" by Steven H. Cullinane, originally published in "Computer Graphics and Art" Vol. 2 No. 1, February 1977. Copyright (c) 2013 Radames Ajna — OSI/MIT license (http://recodeproject/license).
Related remarks on Plato for Harvard's
Graduate School of Design —
See also posts from the above publication date, March 31,
2006, among posts now tagged "The Church in Philadelphia."
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Thursday, October 22, 2015
Zemeckis* meets von Trier**
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A Marriage of Heaven and Hell
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Objective Quality
Software writer Richard P. Gabriel describes some work of design
philosopher Christopher Alexander in the 1960s at Harvard:
A more interesting account of these 35 structures:
"It is commonly known that there is a bijection between
the 35 unordered triples of a 7-set [i.e., the 35 partitions
of an 8-set into two 4-sets] and the 35 lines of PG(3,2)
such that lines intersect if and only if the corresponding
triples have exactly one element in common."
— "Generalized Polygons and Semipartial Geometries,"
by F. De Clerck, J. A. Thas, and H. Van Maldeghem,
April 1996 minicourse, example 5 on page 6.
For some context, see Eightfold Geometry by Steven H. Cullinane.
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