"This outer automorphism [of S6] can be regarded as the seed from which grow
about half of the sporadic simple groups, starting with the Mathieu groups M12 and M24."
Related material:
"This outer automorphism [of S6] can be regarded as the seed from which grow
about half of the sporadic simple groups, starting with the Mathieu groups M12 and M24."
Holy the Firm
by Annie Dillard
Esoteric Christianity, I read, posits a These are only ideas, by the single handful. -- Annie Dillard, Holy the Firm, Harper & Row 1977, reissued by Harper Perennial Library in 1988 as a paperback, pp. 68-71. |
For related material on St. Anselm
and mathematics at Princeton, see
Modal Theology and the
April 2006 AMS Notices
on
Today's birthdays:
Sharon Stone and
Gregory La Cava.
Finitegeometry.org Update
(Revised May 21, 2006)
Finitegeometry.org now has permutable
JavaScript views of the 2x2x2 and 4x4x4 design cubes. Solomon's
Cube presented a claim that the 4x4x4 design cube retains symmetry
under a group of about 1.3 trillion transformations. The
JavaScript version at finitegeometry.org/sc/64/view/ lets the reader visually verify this claim. The reader should first try the Diamond 16 Puzzle. The simpler 2x2x2 design cube, with its 1,344 transformations, was described in Diamonds and Whirls; the permutable JavaScript version is at finitegeometry.org/sc/8/view/.
Women's History Month continues.
Contender
"Cinderella Man: To me, this is the best film of 2005 (qualifier: I have not yet seen Walk the Line). Cinderella Man
is a terrific film - maybe even a great one. It isn't flashy, it isn't
brimming with special effects, porn stars, or snappy one-liners. But it
is a terrific story, one that you feel good after watching. It's a
slice of the true Golden Age of Hollywood - a solid story about good
people that is well-acted by a superb cast. It's a very family-friendly
film - although some of the boxing scenes may be too intense for little
ones. I can't recommend this film highly enough, and am still furious
that it was snubbed for the Oscars - then again, perhaps I shouldn't
be. It would be an insult to the movie, the actors, and the writers to
nominate this fine film with the dreck they are glorifying this year.
Watch this movie. I guarantee you'll enjoy it."
From "Space, Time, and Scarlett"
(Log24, Feb. 9):
For Scarlett on James Merrill's birthday
(which he shares with Jean Harlow)--
the Log24 links of Palm Sunday, 2004:
Google's "sunlit paradigm" and
my own "Lost in Translation."
Women's History Month continues.
Audrey Terras, University of Maryland '64:
We cannot discuss the proof here as it requires some knowledge of zeta functions of curves over finite fields.
Charles Small, Harvard '64:
The moral is that the zeta function exhibits a subtle
connection between the "global" (topological, characteristic 0) nature
of the curve and its "local" (diophantine, characteristic p for all but
finitely many "bad" primes p) behaviour. The full extent of
this connection only becomes apparent in the context of varieties more
general than curves....
"Some friends of mine
are in this band...."
-- David Auburn, "Proof"
"Women and Mathematics
is a joint program of
the Institute for Advanced Study
and Princeton University."
-- School of Mathematics,
1 Einstein Drive,
Princeton, New Jersey
John Updike in
The New Yorker:
"Birthday, death-day --
what day is not both?"
Annie Dillard in
"in and out of
time"
Born on this date:
Died on this date:
"My father is, of course,
as mad as a hatter."
-- Diana Rigg in "The Hospital,"
as transcribed at
script-o-rama.com
"A vesicle pisces* is the name that author Philip K. Dick gave to a symbol he saw (on February 2**, 1974) on the necklace of a delivery woman.
PKD was probably conflating the names of two related symbols, the ichthys
consisting of two intersecting arcs resembling the profile of a fish...
used by the early Christians as a secret symbol, and the vesica piscis, from the centre of which the ichthys symbol can be drawn."
-- Wikipedia
Related material at Wikipedia:
Related material at Log24:
Related material elsewhere:
* Wikipedia's earliest online history for this incorrect
phrase is from 25 November, 2003, when the phrase was attributed to
Dick by an anonymous Wikipedia user, 216.221.81.98, who at that time apparently did not know the correct phrase, "vesica piscis," which was later supplied (16 February, 2004) by an anonymous user (perhaps the same as the first user, perhaps not) at a different IP address, 217.158.203.103. Wikipedia authors have never supplied a source
for the alleged use of the phrase by Dick. This comedy of errors would
be of little interest were it not for its strong resemblance to the writing
process that resulted in what we now call the Bible.
** Other accounts (for instance, Divine Invasions: A Life of Philip K. Dick,
by Lawrence Sutin, Carroll & Graf paperback (copyright 1989, republished on August 9, 2005),
page 210) say Dick's encounter was not on Groundhog Day (also known as Candlemas), but
rather on February 20, 1974.
"Teach us to care and not to care."
-- T. S. Eliot, "Ash Wednesday"
Related material:
Beth Israel Deaconess,
The House of God,
and, from Is Nothing Sacred?,
the following quotations--
"I know what 'nothing' means."
-- Joan Didion in
Play It As It Lays
"Nothing is random."
-- Mark Helprin in
Winter's Tale
"692" -- Pennsylvania lottery,
Ash Wednesday, 2000;
"hole" -- Page 692,
Webster's New World Dictionary,
College Edition, 1960
"This hospital, like every other,
is a hole in the universe
through
which holiness
issues in blasts.
It blows both ways,
in and out of
time."
-- Annie Dillard in
For the Time Being
(1999)
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