From the <Hilbert>
“我庄严地要你回答，宣誓是否能使你用真诚的良心承担如下的许诺和保证：你将勇敢地
去捍卫真正的科学，将其开拓，为之添彩；既不为厚禄所驱，亦不为虚名所赶，只求上帝
真理的神辉普照大地、发扬光大。”
I ask you solemnly whether by the given oath you undertake to promise and
conform most conscientiously that you will defend in a manly way true
science, extend and embillish it, not for gain's sake or for attaining a
vain shine of glory, but inorder that the light of God's truth shine bright
and expand
只要一门科学分支能提出大量的问题，它就充满着生命力；而问题缺乏则预示着独立发展
的衰亡 或终止。
As long as a branch of science offers an abundance of problems, so long
is it alive: alack of problems foreshadows extinction or the cessation of
independent development.
“也许正是这一值得注意的事实，加上其他哲学上的因素，给人们以这样的信念，即每个
确定的数学问题都应该能得到明确的解决，或者是成功地对所给问题做出回答，或者是证
明该问题解的不可能性，从而指明解答原问题的一切努力都肯定要归于失败。”
It is probably this remarkable fact along with other philosophical
reasons that give rise to the conviction ( which every mathematician shares,
but which no one has as yet supported by a proof) that every definite
mathematical problem must necessarily be susceptible of an exact settlement,
either in the form of an actual answer to the question asked, or by the
proof of the impossibility of its solution and therewith the necessary
failure of all attempts.
“在我们中间，常常听到这样的呼声：这里有一个数学问题，去找出它的答案。你能够通
过纯思维找到它，因为在数学中没有ignorabimus！”
We hear within us the perpetual call: There is the problem.Seek its
solution. You can find it by pure reason, for in mathematics there is no
ignorabimus
“数学中的纯粹数论直到今天还没有找到应用。但是，正是数论被Gauss誉为数学的皇后…
…”
Pure number theory is that part of mathematics for which up to now no
application has ever been found. But it is number theory which has
considered by Gauss as the queen of mathematics...
“我们哥尼兹堡的伟大数学家Jacobi也是这样认为的：‘Fourier先生认为，数学的主要目
的是服务人类、解释自然现象；但像他这样的哲学家应当知道，科学的唯一目的是为了人
类心智的荣耀！’……无论是谁，只要领悟了闪烁在Jacobi话语中的丰富思想和哲学真理
，它就不会堕入倒退和不毛的怀疑主义。”
Even our great Konigsberg mathematician Jacobi felt his way...When the
famous Fourier maintained that the purpose of mathematics lies in the
explanation of natural phenomena, Jacobi objected, " A philosopher like
Fourier should know that the glory of the human spirit is the sole aim of
all science!...Whoever perceives the truth of the generous thinking and philos
ophy which shines forth from Jacobi's words will not fall into regressive and
barren scepticism
