Log24

Monday, July 15, 2019

Possibility and Necessity: Kierkegaard Meets Nietzsche

Filed under: General — Tags: — m759 @ 7:29 AM

The previous post’s search for Turing + Dyson yielded a
quotation from Kierkegaard on possibility and necessity.
Further details —

See also . . .

Nietzsche, 'law in becoming' and 'play in necessity'

Nietzsche on Heraclitus— 'play in necessity' and 'law in becoming'— illustrated.

Thursday, February 20, 2014

Relativity Blues

Filed under: General,Geometry — Tags: , — m759 @ 9:00 AM

(Continued)

A review of this date in 2005 —

Modal Theology

“We symbolize logical necessity
with the box (box.gif (75 bytes))
and logical possibility
with the diamond (diamond.gif (82 bytes)).”

— Keith Allen Korcz

And what do we  
   symbolize by   The image “http://www.log24.com/theory/images/Modal-diamondbox.gif” cannot be displayed, because it contains errors. ?

Sunday, February 27, 2005

Sunday February 27, 2005

Filed under: General — Tags: — m759 @ 3:00 PM

Necessity

The image “http://www.log24.com/log/pix05/050227-Tie4.jpg” cannot be displayed, because it contains errors.

Above: Detail from an editor’s necktie
on the New York Times  obituary page
of Sunday, Feb. 27, 2005:

The image “http://www.log24.com/log/pix05/050227-Obits.jpg” cannot be displayed, because it contains errors.

“The form, the pattern”
T. S. Eliot

“We symbolize logical necessity
with the box (box.gif (75 bytes))….”
Keith Allen Korcz

“4 x 4 = 16”
Anonymous

“Es muss sein!”
Beethoven

Monday, January 24, 2005

Monday January 24, 2005

Filed under: General,Geometry — Tags: , — m759 @ 2:45 PM

Old School Tie

From a review of A Beautiful Mind:

“We are introduced to John Nash, fuddling flat-footed about the Princeton courtyard, uninterested in his classmates’ yammering about their various accolades. One chap has a rather unfortunate sense of style, but rather than tritely insult him, Nash holds a patterned glass to the sun, [director Ron] Howard shows us refracted patterns of light that take shape in a punch bowl, which Nash then displaces onto the neckwear, replying, ‘There must be a formula for how ugly your tie is.’ ”

The image “http://www.log24.com/log/pix05/050124-Tie.gif” cannot be displayed, because it contains errors.
“Three readings of diamond and box
have been extremely influential.”– Draft of
Computing with Modal Logics
(pdf), by Carlos Areces
and Maarten de Rijke

“Algebra in general is particularly suited for structuring and abstracting. Here, structure is imposed via symmetries and dualities, for instance in terms of Galois connections……. diamonds and boxes are upper and lower adjoints of Galois connections….”

— “Modal Kleene Algebra
and Applications: A Survey
(pdf), by Jules Desharnais,
Bernhard Möller, and
Georg Struth, March 2004
See also
Galois Correspondence

The image “http://www.log24.com/log/pix05/050124-galois12s.jpg” cannot be displayed, because it contains errors.
Evariste Galois

and Log24.net, May 20, 2004:

“Perhaps every science must
start with metaphor
and end with algebra;
and perhaps without metaphor
there would never have been
any algebra.”

— attributed, in varying forms
(1, 2, 3), to Max Black,
Models and Metaphors, 1962

For metaphor and
algebra combined, see

“Symmetry invariance
in a diamond ring,”

A.M.S. abstract 79T-A37,
Notices of the Amer. Math. Soc.,
February 1979, pages A-193, 194 —
the original version of the 4×4 case
of the diamond theorem.

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