In overwrought politics and religion, it is commonplace to
demonize some of one’s foes. Thus,
for Christians, the Antichrist;
for Muslims, the comparable Dajjâl. On the cover of the current Time, Hilary
Clinton appears with a pair of horns.
So it goes.
Although disputes exist (both personal and professional)
within the ranks of mathematicians, you really don’t find that sort of thing,
so far as I know. About as
far as it goes is witty dismissals
of some subdiscipline; as, Cantor’s
innovations in the transfinite, which some dismissed as “more theology than
mathematics” -- theology, though, not diabolism. Or Category Theory as “the higher macramé” (as wits had it
back when I was in college. Since
then, the Category approach has knit -- or rather knotted, to continue the
metaphor -- some quite interesting structures, that seem to hold.)
So it was with some surprise that I ran across this passage:
Euclid has been the evil genius … for the history of
mathematics.
-- Imre Lakatos, Proofs and
Refutations (1976), p. 140
(Having just the other day watched the old Fritz Lang film, “The
Testament of Dr Mabuse”, this phrase delivered a particular chill.)
In the course of his book, Lakatos does permit himself some
unkind or dismissive digs at certain mathematicians, historians of the field,
or styles of mathematizing, but this formulation seemed extreme. Yet as the author’s footnote immediately
reveals, it is taken straight from so sober a source as R. B. Braithwaite, who
(in 1953) called Euclid the “evil genius of philosophy of science” -- though, to be sure, the “good genius
of mathematics" itself. (One
pictures twin miniature Euclids, one red with a tail, one white with wings,
perched on Donald Duck’s shoulders and whispering conflicting counsels.)
~
This mild and forgettable aside yet brought back memories of Berkeley days, when some of my
friends were refugees from the group then known as the National Caucus of Labor
Committees, a sect around the guru Lynn Marcus (later known as Lyndon
Larouche). That formation
made diabolization a positive organizing principle of their style of
thought. What made it all so
fascinating to follow, was trying to guess whom they would seize on to
demonize: Zbigniew Brzezinski, all right, but -- the Queen of England? (And that, lastingly. Never was a doily of an old lady more
improbably cast.) And then
things got really interesting when the dichotomization was extended to figures
from intellectual history.
As, Plato they liked (yay, Plato);
but he appeared ever in a duality, contrasting with “the evil Aristotle”.
The NCLC even extended this perspective to mathematics,
their particular hero being Riemann (again, hoorah hoorah). Whom they chose as the
anti-Riemann I forget, but anyhow
it was impressive that a group that was vying for converts in an arena crowded
with such aggressively ignorant rival leftist sects (for the NCLC was formally
of the Left at that time) as the Weathermen, various Maoist groups, the
"Symbionese" 'Liberation' '''Army''', the Black Panthers and so forth, had even heard of such figures as
Riemann, and deemed them of world-historical importance.
(Note: It is by
way of arcane allusion to that episode, that I titled my ongoing feuilleton of
dark doings among the Illuminati, the Riemann Conspiracy. Something like three people will get
the joke.)
.
Is .... this .... the face of Evil ?? |
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