The death date of Princeton mathematician William Browder
has now been established as February 4, 2025.
That date in this journal . . . See posts tagged Clercs.
The death date of Princeton mathematician William Browder
has now been established as February 4, 2025.
That date in this journal . . . See posts tagged Clercs.
"The most powerful diagram in mathematics" —
The YouTube lecturer is not referring to the Fano plane diagram cited
in the AI Overview below, but to a much more sophisticated figure,
the Miracle Octad Generator (MOG) of R. T. Curtis.
Some context —
A rearrangement of the Miracle Octad Generator —
The diagram below may be less powerful , but it illustrates a result that,
although less miraculous , is perhaps more historically significant —
An instance of T. S. Eliot's poetic "still point" is the
center of a 3x3x3 Galois cube made up of 27 subcubes …
Not Rubik's puzzle, whose center is a mere mechanical contrivance.
Associated with that Galois cube is the set of
13 symmetry axes of its central subcube.
The figure above is not unrelated to the so-called "free will theorem."
Mathematician Peter J. Cameron's recent quotation of St. Bernard*
on free will and grace, while not impressive as a philosophical
statement, is at least preferable to the TV sitcom "Will and Grace."
See also the notion of free will in other posts tagged "Congregated Light."
Some context: Tom Wolfe, below, on the word "clerisy." It seems that the
word applies to many academics besides those in areas named by Wolfe.
* Vide http://www.catholictradition.org/Tradition/efficacious-grace3.htm#67 —
"De gratia et Libero arbitrio, chaps. 1 and 14."
Two images from a post of April 11, 2014 —
Tom Cruise at the Vatican in MI3
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Michelle Monaghan, star of "The Path," in MI3 —
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