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A Beautiful Mind
Sylvia
Nasar
[1]
John Forbes Nash,
Jr.
—
mathematical genius, inventor of a theory of
rational
behavior,
visionary
of the thinking
machine
—
had been sitting
with his visitor, also a
mathematician,
for nearly half an hour. It was late on a weekday
afternoon in the spring of 1959,
and,
though it was only May, uncomfortably warm. Nash
was
slumped
in an armchair
in one
corner of the hospital lounge,
carelessly dressed in a nylon shirt that hung
limply over his unbelted
trousers. His
powerful frame was slack as a
rag
doll
's, his finely molded features
expressionless.
He had been staring
dully at a spot immediately in front of the left
foot
of
Harvard
professor
George
Mackey
, hardly moving except to brush
his long dark hair away
from his
forehead in a
fitful
,
repetitive motion. His visitor sat upright,
oppressed by the silence,
acutely
conscious that the doors to the room were locked.
Mackey finally could contain himself no
longer. His voice was slightly
querulous
, but he strained
to be gentle.
Mackey,
you
believe that
extraterrestrials
are
sending you messages? How could you believe that
you are
being recruited by aliens from
outer space to save the world? How could
you...?
[2] Nash
looked up at last and fixed Mackey with an
unblinking
stare as cool
and
dispassionate
as that of any bird or snake.
southern
drawl
, as if talking to
himself,
came to
me the
same way that my mathematical ideas
did. So I took them seriously.
[3] The young genius from
Bluefield, West
Virginia
—
handsome, arrogant,
and highly
eccentric
—
burst
onto the mathematical scene in 1948. Over the next
decade, a decade as notable
for its
supreme faith in human rationality as for its dark
anxieties about mankind's survival, Nash
proved himself, in the words of the
eminent geometer Mikhail
Gromov
,
mathematician of the
second half of the
century.
architecture, the shape of the
universe, the geometry of imaginary spaces, the
mystery of
prime
numbers
—
all
engaged his wide-ranging imagination. His ideas
were of the deep and wholly
unanticipated kind that pushes
scientific thinking in new directions.
[4] Geniuses, the mathematician
Paul Halmos
wrote,
like all of us, but very much more so,
and the ones who, apparently, have an extra human
spark.
We can all run, and some of us
can run the mile in less than 4 minutes; but there
is nothing that
most of us can do that
compares with the creation of the
Great
G-minor Fugue
.
was of that
mysterious variety more often associated with
music and art than with the oldest of all
sciences: It wasn't merely that his
mind worked faster, that his memory was more
retentive
, or
that his power of concentration was
greater. The flashes of intuition were
nonrational. Like other
great
mathematical
intuitionists
—
Georg
Friedrich Bernhard Riemann, Jules Henri
Poincaré
,
Srinivasa
Ramanujan
—
Nash saw the
vision first; constructing the
laborious
proofs long
afterward. But even after he'd try to
explain some astonishing result, the actual route
he had taken
remained a mystery to
others who tried to follow his reasoning.
Donald Newman
, a
mathematician who knew Nash at MIT in
the 1950s, used to say about him that
would climb a peak by looking for a
path somewhere on the mountain. Nash would climb
another
mountain altogether and from
that distant peak would shine a
searchlight
back onto the
first
peak
[5] No one was more obsessed with
originality, more
disdainful
of authority, or more
jealous of his
independence. As a young man he was surrounded by
the
high priests
of
twentieth-
century
science
—
Albert Einstein,
John von Neumann, and Norbert
Wiener
—
but he joined no
school, became no one's
disciple
,
got
along
: largely without guides or
followers. In almost
everything he
did
—
from
game
theory
to
geometry
—
he
thumbed his nose at
the
received
wisdom, current fashions,
established methods. He almost always worked
alone, in his head,
usually walking,
often whistling
Bach
. Nash
acquired his knowledge of mathematics not mainly
from studying what other mathematicians
had discovered, but by rediscovering their truths
for
himself. Eager to astound, he was
always
on the lookout for
the really big problems. When he
focused on some new puzzle, he saw
dimensions that people who really knew the subject
(he
never did) initially dismissed as
naive or wrong-headed. Even as a student, his
indifference to
others'
skepticism
, doubt, and
ridicule was awesome.
[6] Nash's faith in rationality and the
power of pure thought was extreme, even for a
very young mathematician and even for
the new age of computers, space travel, and
nuclear
weapons. Einstein once
chided
him for wishing to
amend
relativity theory
without studying
physics. His heroes
were solitary thinkers and supermen like
Newton
and
Nietzsche
. Computers
and science fiction were his passions.
He considered
superior in some ways to
human beings. At one point, he became fascinated
by the possibility that
drugs could
heighten physical and intellectual performance. He
was
beguiled
by the idea of
alien
races of hyper-rational beings
who had taught themselves to disregard all
emotion.
Compulsively
rational, he
wished to turn life's
decisions
—
whether to take
the first
elevator or wait for the next
one, where to bank his money, what job to accept,
whether to
marry
—
into
calculations of advantage and disadvantage,
algorithms
or mathematical
rules
divorced from emotion,
convention, and tradition. Even the small act of
saying an automatic hello
to Nash in a
hallway could elicit a furious
[7] His contemporaries, on the whole,
found him immensely strange. They described him
as
aloof
haughty
detached
spooky
mingled
rather than mixed with his peers.
Preoccupied
with his own
private reality, he seemed
not to share
their
mundane
concerns. His
manner
—
slightly cold, a bit
superior, somewhat
secretive
—
suggested something
punctuated
by
flights of
garrulousness
about outer
space and geopolitical trends, childish
pranks
, and
unpredictable eruptions of anger. But
these outbursts were,
more often than
not
, as
enigmatic
as
his silences.
refrain
. A mathematician at
the Institute for
Advanced Study
remembers meeting Nash for the first time at a
crowded student party at
Princeton:
I noticed him
very definitely among a lot of other people who
were there. He was sitting
on the floor
in a half-circle discussing something. He made me
feel uneasy. He gave me a peculiar
feeling. I had a feeling of a certain
strangeness. He was different in some way. I was
not aware of
the extent of his talent.
I had no idea he would contribute as much as he
really did.
[8] But he did contribute, in a big
way. The marvelous paradox was that the ideas
themselves were not obscure. In 1958,
Fortune
singled
Nash
out
for his achievements in
game
theory,
algebraic
geometry, and
nonlinear
theory, calling
him the most brilliant of the younger
generation of new
ambidextrous
mathematicians
who worked in both pure and applied
mathematics. Nash's insight into the
dynamics of human
rivalry
—
his theory of
rational conflict
and
cooperation
—
was to become
one of the most influential ideas of the twentieth
century,
transforming the young science
of economics the way that
Mendel
's ideas of genetic
transmission,
Darwin
's model of natural
selection, and Newton's
celestial
mechanics reshaped
biology and physics in their day.
第六课
美丽心灵
西尔维亚
?
纳萨尔
[1]
小约翰
?
福布斯
?
纳什,数学天才、理性行为理论创
立者、预见会思考的机器出
现的预言者,已经和他的同样是数学家的来访者一起坐了差不
多半个小时。那是
1959
年
春季一个
工作日的傍晚时分,虽然才是
5
月,天气却很热,令人不太舒服
。纳什颓然坐在
医院会客室一角的扶手椅上,身上随意穿着的那件尼龙衬衫,松松垮垮地
盖在他没有系皮
带的长裤上。他的魁梧身躯现在就像一个布娃娃一样缺乏活力,他的线条
优美细致的五官
没有任何表情。他一直目光呆滞地盯着哈佛教授乔治
?
麦基左脚前方不远的地方,
除了一
次次重复着将垂在前额的略长的黑发拨开的动作,他几乎一动不动。麦基正襟危坐
,被沉
默压得透不过气来,并且非常清楚地意识到会客室的所有门都锁上了。麦基再也控
制不住
自己。他尽量使语气温和,但听上去仍有些愠怒。“你,一个数学家,”他开始说
道,
“一个致力于研究理性和逻辑证明的人,怎么能相信外星人正在给你发送消息呢?怎
么能
相信你被来自太空的外星人选中要来拯救世界呢?怎么能……”
[2]
纳什终于抬起头,用类似某种鸟类或者蛇一样冰冷而不动声色的目光,紧紧盯着麦
基
。“因为,”他慢慢地回答,带着温和适度的南方人特有的慢条斯理的语气,好像自言
自
语一般,“我的有关超自然生物的想法出现在我的脑海里的方式,是和我的数学思想一
样
的,所以我会认真对待。”
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