Friday, June 11, 2010

Toward the Light

Filed under: General — m759 @ 11:01 AM

The title is a reference to yesterday's noon post.

For the late Vladimir Igorevich Arnold

"All things began in order, so shall they end, and so shall they begin again; according to the ordainer of order and mystical Mathematicks of the City of Heaven."

— Sir Thomas Browne, The Garden of Cyrus, Chapter V

Arnold's own mystical mathematics may be found in his paper

"Polymathematics: Is Mathematics a Single Science or a Set of Arts?"

Page 13–
"In mathematics we always encounter mysterious analogies, and our trinities [page 8] represent only a small part of these miracles."

Also from that paper—

Page 5, footnote 2–
"The Russian way to formulate problems is to mention the first nontrivial case (in a way that no one would be able to simplify it). The French way is to formulate it in the most general form making impossible any further generalization."

Arnold died in Paris on June 3. A farewell gathering was held there on June 8—

"Celles et ceux qui le souhaitent pourront donner un dernier adieu à Vladimir Igorevitch
mardi 8 juin, de 14h a 16h, chambre mortuaire de l'hopital Saint Antoine…."

An International Blue Diamond

In Arnold's memory—  Here, in the Russian style, is a link to a "first nontrivial case" of a blue diamond— from this journal on June 8 (feast of St. Gerard Manley Hopkins). For those who prefer French style, here is a link to a blue diamond from May 18

From French cinema—


"a 'non-existent myth' of a battle between
goddesses of the sun and the moon
for a mysterious blue diamond
that has the power to make
mortals immortal and vice versa"

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