Log24

Thursday, May 28, 2020

Unity Game

Filed under: General — Tags: , , — m759 @ 11:59 PM

“Old men ought to be explorers.” — T. S. Eliot

“Everybody’s lost but me!” — Young Indiana Jones, quoted
in a book review (“Knox Peden on Martin Hägglund”) in
Sydney Review of Books  on May 26 . . .

” Here I am reminded of the words of
the young Indiana Jones alone in the desert,
decades before the Last Crusade:
‘Everybody’s lost but me.’ “

 Related remarks — Now You See It, Now You Don’t.

Finite Geometry at GitHub

Filed under: General — Tags: , , — m759 @ 5:04 PM

My website on finite geometry is now available
on GitHub at http://m759.github.io/ . The part
of greatest interest to coders is also at
https://repl.it/@m759/View-4x4x4#index.html .

Wednesday, May 20, 2020

Raiders of the Lost Unity

Filed under: General — Tags: — m759 @ 2:21 PM

Mathematics as a Black Art

Filed under: General — Tags: , , — m759 @ 11:34 AM

Thursday, May 7, 2020

Now You See It, Now You Don’t

Filed under: General — Tags: , , — m759 @ 11:00 PM

“Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyah, quoted here on April 4, 2016

 

Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.

Kant as Diamond Cutter

Filed under: General — Tags: , — m759 @ 4:26 AM

“He wished Kant were alive. Kant would have appreciated it.
That master diamond cutter.”

— Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance , Part III.

Kant’s  “category theory” —

“In the Transcendental Analytic, Kant deduces the table of twelve categories, or pure concepts of the understanding….

The categories must be ‘schematized’ because their non-empirical origin in pure understanding prevents their having the sort of sensible content that would connect them immediately to the objects of experience; transcendental schemata are mediating representations that are meant to establish the connection between pure concepts and appearances in a rule-governed way. Mathematical concepts are discussed in this context since they are unique in being pure but also sensible concepts: they are pure because they are strictly a priori  in origin, and yet they are sensible since they are constructed in concreto . ”

— Shabel, Lisa, “Kant’s Philosophy of Mathematics”, The Stanford Encyclopedia of Philosophy  (Spring 2016 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/spr2016/entries/kant-mathematics/>.

See also The Diamond Theorem and Octad.us.

Wednesday, May 6, 2020

“The Ship of Theseus”…

Filed under: General — Tags: , — m759 @ 2:17 PM

is a philosophical conundrum  discussed this morning  in the weblog of
David Justice.

A related statement of this “problem of identity,” from posts
in this  weblog tagged “For Banff 2009” yesterday afternoon

Remarks related to the ship of Theseus —

Sunday, April 26, 2020

The Triangle of Art

Filed under: General — Tags: — m759 @ 12:00 AM

This post was suggested by yesterday morning’s link to  The Fano Hallows.

“Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyah, quoted here on April 4, 2016

A symbol related to  The Fano Hallows

Thursday, April 26, 2018

Defining Form

Filed under: General — Tags: , — m759 @ 7:00 PM

Images related to the previous post

Wednesday, April 25, 2018

A Deathly Triangle

Filed under: General,Geometry — Tags: , , , — m759 @ 11:27 PM

'Imprisoned in a Tesseract,' a study of novelist James Blish

Tuesday, December 27, 2011

Getting with the Program

Filed under: General,Geometry — Tags: , — m759 @ 4:28 AM

Stanley Fish in The New York Times  yesterday evening—

IMAGE- Stanley Fish, 'The Old Order Changeth,' Boxing Day, 2011

From the MLA program Fish discussed—

IMAGE- MLA session, 'Defining Form,' chaired by Colleen Rosenfeld of Pomona College

Above: An MLA session, “Defining Form,” led
by Colleen Rosenfeld of Pomona College

An example from Pomona College in 1968—

IMAGE- Triangular models of small affine and projective finite geometries

The same underlying geometries (i.e., “form”) may be modeled with
a square figure and a cubical figure rather than with the triangular
figures of 1968 shown above.

See Finite Geometry of the Square and Cube.

Those who prefer a literary approach to form may enjoy the recent post As Is.
(For some context, see Game of Shadows.)

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