名家谈数学(中英文对照)
-
名家谈数学
(
中英文对照
)
The
essence
of
mathematics
is
the
perception
of
logical
relationships
between
seemingly
disparate
ideas
;
the
most
successful
mathematicians
are
those
whose
range
is widest and whose ability to see
analogies and connect ideas is greatest.
(数学
的本质是对表面上看来完全不同的概念认识其内在的逻辑关系。最成功的数学家
是知识面最
宽、概念的类比、想象能力最强的人)爱德华
Pure mathematics
is
,
in its
way
,
the poetry of logical id
eas
.
(
纯粹数学,就其本
质而言,是逻辑思想的诗篇。
)爱因斯坦
The science of mathematics
presents the most brilliant example of how pure
reason
may successfully enlarge its
domain without the aid of experience.
(数
学科学呈现
出一个最辉煌的例子,
表明不用借助实验,
纯粹的推理能成功地扩大人们的认知领域。
)
康
德
But there is another reason for the
high repute of mathematics: it is mathematics
that
offers
the
exact
natural
sciences
a
certain
measure
of
security
which
,
without
mathematics
,
they
could
not
attain.
(
数学受到高度尊崇的另一个原因在于:
恰恰是数学,
给精密的自然科学提供了无可置疑的可靠保证,没有数学,它们无法达到这样的可靠程度。
)
爱因斯坦
Mathematics is the tool specially
suited for dealing with abstract concepts of any
kind and there is no limit to its
power in this
field
.
For this
reason a book on the
new
physics
,
if not purely
descriptive of experimental
work
,
must be essentially
mathematical.
(数学是一项工具,
特别适合于处理任何一类抽象概念,
而且,
它在这方面的<
/p>
作用是无止境的。因此,一本论述新物理学的书,如果不是单纯地描述实验工作的,其本质
上,必定是一本数学书。
)狄拉克
Natures great book is
written in mathematical symbol. (
自然这一巨著
是用数学符号写
成的
)
伽里略
Mathematics
is
a
creative
art
because
mathematicians
create
beautiful
new
concepts
;
it
is
a
creative
art
because
mathematicians
live
,
act
,
and
think
live
artists
;
and
it is a creative art because
mathematicians regard it so
.
(
数学是创造性的艺术,因
为数学家创造了美好的新概念;数学
是创造性的艺术,因为数学家的生活、言行如同艺术家
一样;数学是创造性的艺术,因为
数学家就是这样认为的。
)哈尔莫斯
The essence of mathematics lies in its
freedom
.
(数学的本质在于它的自由。
)康托尔
God
ever arithmetizes.
(上帝是一位数论学家。
)雅可比
The great
Architect of the Universe now begins to appear as
a pure mathematician
(宇宙的伟大建筑师现在开始以纯粹数学家
的身份出现)吉恩斯