Continued from October 6, 2022 —
A paper from an August 2017 Melbourne conference
on artificial intelligence —
See as well a Log24 search for Boolean functions.
A check on the date of the above paper's presentation —
From this journal on that date —
Happy 10th birthday to the hashtag.
Meanwhile, in this journal on the above date of death —
("Raiders of the Lost Spell" continues.)
The above flashback to a 2002 post was suggested by a search in
this journal for "Firebird" that yielded, as the only result . . .
http://www.amazon.com/
Witch-Seldom-Firebird-Nancy-Springer/dp/0142302201/.
That URL connects to The Hex Witch of Seldom at Amazon.com.
That book was reportedly published by Firebird on September 16, 2002,
the date of the above Log24 post.
See the previous post as well as posts now tagged Soul and Spirit.
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Soul
|
Spirit
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The mirror has two faces (at least).
[Klein, 1983] S. Klein.
"Analogy and Mysticism and the Structure of Culture
(and Comments & Reply)"
Current Anthropology , 24 (2):151–180, 1983.
The citation above is from a 2017 paper —
"Analogy-preserving Functions:
A Way to Extend Boolean Samples,"
by M. Couceiro, N. Hug, H. Prade, G, Richard.
26th International Joint Conference on Artificial Intelligence
(IJCAI 2017), Aug. 2017, Melbourne, Australia. pp.1-7, ff.
That 2017 paper discusses Boolean functions .
Some more-recent remarks on these functions
as pure mathematics —
"On the Number of Affine Equivalence Classes
of Boolean Functions," by Xiang-dong Hou,
arXiv:2007.12308v2 [math.CO]. Rev. Aug. 18, 2021.
See also other posts now tagged Analogy and Mysticism.
In memory of a mathematics professor who
reportedly died on May 21, 2022 —
"… mouses over to a file …." Or a folder.
André Weil in 1940 on analogy in mathematics —
| . "Once it is possible to translate any particular proof from one theory to another, then the analogy has ceased to be productive for this purpose; it would cease to be at all productive if at one point we had a meaningful and natural way of deriving both theories from a single one. In this sense, around 1820, mathematicians (Gauss, Abel, Galois, Jacobi) permitted themselves, with anguish and delight, to be guided by the analogy between the division of the circle (Gauss’s problem) and the division of elliptic functions. Today, we can easily show that both problems have a place in the theory of abelian equations; we have the theory (I am speaking of a purely algebraic theory, so it is not a matter of number theory in this case) of abelian extensions. Gone is the analogy: gone are the two theories, their conflicts and their delicious reciprocal reflections, their furtive caresses, their inexplicable quarrels; alas, all is just one theory, whose majestic beauty can no longer excite us. Nothing is more fecund than these slightly adulterous relationships; nothing gives greater pleasure to the connoisseur, whether he participates in it, or even if he is an historian contemplating it retrospectively, accompanied, nevertheless, by a touch of melancholy. The pleasure comes from the illusion and the far from clear meaning; once the illusion is dissipated, and knowledge obtained, one becomes indifferent at the same time; at least in the Gitâ there is a slew of prayers (slokas) on the subject, each one more final than the previous ones." |
"The pleasure comes from the illusion" . . .
Exercise:
Compare and contrast the following structure with the three
"bricks" of the R. T. Curtis Miracle Octad Generator (MOG).
Note that the 4-row-2-column "brick" at left is quite
different from the other two bricks, which together
show chevron variations within a Galois tesseract —
An I Ching study quoted in Waiting for Ogdoad (St. Andrew's Day, 2013)—
(Click for clearer image.)
The author of the above I Ching study calls his lattice "Arising Heaven."
The following lattice might, therefore, be called "Heaven Descending."
Click for the source, mentioned in Anatomy of a Cube (Sept. 18, 2011).
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