请英语高手帮我翻译一篇文章，翻译成英文？

Question

一天夜里，已经很晚了，一对年老的夫妻走进一家旅馆，他们想要一个房间。前台侍者回答说：“对不起，我们旅馆已经客满了，一间空房也没有剩下。”看着这对老人疲惫的神情，侍者又说：“但是，让我来想想办法……”
叙述到这里，你希望下面有一个数学的继续，还是愿意得到一个文学的结局？但不管怎样，数学和文学都将在这里分手了。
数学的故事是这样发展的：这个好心的侍者开始动手为这对老人解决房间问题：他叫醒旅馆里已经睡下的房客，请他们换一换地方：1号房的客人换到2号房间，2号房的客人换到3号房间……以此类推，直至每一位房客都从自己的房间搬到下一个房间。这时奇迹出现了：1号房间竟然空了出来。侍者高兴地将这对老年夫妇安排了进去。没有增加房间，没有减少客人，两位老人来到时所有的房间都住满了客人——但是仅仅通过让每一位客人挪到下一个房间，结果第一个房间就空了出来，这是为什么呢？/原来，两位老人进的是数学上著名的希尔伯特旅馆——它被认为是一个有着无数房间的旅馆。这个故事是伟大的数学家大卫·希尔伯特所讲述，他借此引出了数学上的“无穷大”的概念。这一概念对于这门学科来说之重要，可以说如果没有它我们就很难想像数学将如何存在。只要会数数的人都知道，每一整数都有一个后继者直至无穷（所以在希尔伯特旅馆里，每间房子后面都会有一间直至无穷）……数学就是一门关于无穷大的科学。
好了，我们回到侍者说“让我来想想办法”的地方。 文学的故事是这样继续的。这个文学的侍者理应更富人性和爱心，他当然不忍心深夜让这对老人出门另找住宿。而且在这样一个小城，恐怕其他的旅店也早已客满打烊了，这对疲惫不堪的老人岂不会在深夜流落街头？于是好心的侍者将这对老人引领到一个房间，说：“也许它不是最好的，但现在我只能做到这样了。”老人见眼前其实是一间整洁又干净的屋子，就愉快地住了下来。
第二天，当他们来到前台结账时，侍者却对他们说：“不用了，因为我只不过是把自己的屋子借给你们住了一晚——祝你们旅途愉快！”原来如此。侍者自己一晚没睡，他就在前台值了一个通宵的夜班。两位老人十分感动。老头儿说：“孩子，你是我见到过的最好的旅店经营人。你会得到报答的。”侍者笑了笑，说这算不了什么。他送老人出了门，转身接着忙自己的事，把这件事情忘了个一干二净。没想到有一天，侍者接到了一封信函，打开看，里面有一张去纽约的单程机票并有简短附言，聘请他去做另一份工作。他乘飞机来到纽约，按信中所标明的路线来到一个地方，抬眼一看，一座金碧辉煌的大酒店耸立在他的眼前。原来，几个月前的那个深夜，他接待的是一个有着亿万资产的富翁和他的妻子。富翁为这个侍者买下了一座大酒店，深信他会经营管理好这个大酒店。这就是全球赫赫有名的希尔顿饭店首任经理的传奇故事。
事情都是从一个富有同情心、满怀仁爱的侍者的智慧头脑开始：“让我来想想办法……”进入数学的领域，需要的一定是严密的逻辑，合理的推论及精确的求证；来到文学的天地，凭借的却是美好的人性，动人的情节和意外而圆满的结局。但你发现没有：不管是文学还是数学，结局都很神奇——爱加上智慧原来是能够产生奇迹的。

Answer 1

A day night, very has already been late, pair of old husbands and wives enter a hotel, they want a room. The onstage waiter replied: "Sorry, our hotel already sold out, a vacant room has not been left over." Looks this to the old person exhausted facial expression, the waiter also said: "But, lets me try to find solution... ... "
Narrates to here, you under hoped has a number study continuation, is willing to obtain a literature the result? But no matter how, mathematics and the literature all will bid good-bye in here.
Mathematics story is develops like this: This good intention waiter starts to begin to solve the room problem for this to the old person: He awakens the boarder which in the hotel already went to sleep, asked them to trade the place: 1 janitor's visitor trades to 2 janitors between, 2 janitors' visitors trade to 3 janitors between... ... Analogizes by this, until each boarders all move to the next room from own room. By now the miracle appeared: Between 1 janitor emptied unexpectedly. The waiter happily has arranged this to old age husbands and wives. Has not increased the room, has not reduced the visitor, two old people arrive when all rooms all lived fill the visitor □□but through to let each visitor move merely to the next room, the result first room emptied, why was this? /Originally, two old people enter are in mathematics famous Hilbert hotel □□it were considered is has the innumerable rooms hotel. This story is great mathematician David □Hilbert narrates, he has drawn out in mathematics "the infinity" concept. This concept regarding this discipline said important, may say how if won't have its us on to be very difficult to imagine mathematics to exist. So long as can count the human all knew that, each integer all has a successor until infinitely (therefore in the Hilbert hotel, behind each house all can have between until to be infinite)... ... Mathematics is about the infinity science.
Good, we return to the waiter to say "lets I tries to find solution" the place. The literature story is continues like this. This literature waiter should the rich person and the compassion, he certainly is not cruel enough to the night to let this go out to the old person looks for the lodgings in addition. Moreover in this kind of small town, sold out feared other inns also already to take a break, how can it be that this to the old person which was utterly exhausted cannot in the night wander about destitute the street corner? Thereupon the good intention waiter eagerly anticipates this to the old person to a room, said: "Perhaps it is not best, but now I only could achieve like this." The old person sees actually is between a neat clean room at present, happily has lived down.
Next day, when they arrive the onstage pays up, the waiter actually to them said: "Has not used, because I only was lend own room you to live late one □□wish your have a pleasant trip!" So that's how it is. Waiter one have not late rested, he on in an onstage value all night night shift. Two old people are moved extremely. Old man said that, "The child, you are I had seen the best inn manages the human. You can obtain the repayment." The waiter smiled, said this could not calculate any. He makes funeral arrangements the human to go out, turns around then the busy own matter, has forgotten this matter clean. Had not thought one day, the waiter has received a correspondence, opened looked, inside had to go to New York the one-way airplane ticket and has the brief postscript, invited him to do another work. He goes by plane comes to New York, marks the route according to the letter in to arrive a place, catches the eye as soon as looked, a resplendent in gold and jade green hotel towers in him at present. Originally, several months ago that nights, he receives is has 100.01 million properties wealthy men and his wife. The wealthy man has bought a hotel for this waiter, deeply believes him to be able management management this hotel. This is global illustrious Manager Hylton's the hotel first elected legendary story.
The matter all is waiter's wisdom brains start which from a rich sympathy, fills with the benevolence: "Lets me try to find solution... ... " Enters mathematics the domain, needs certainly is the strict logic, reasonable deduction and precise proof; Arrives the literature world, relies on is the happy human nature actually, moving plot and accident but complete result. But you discovered does not have: No matter is literature mathematics, the result all very is mysterious □□likes adding on the wisdom originally is can have the miracle.

Answer 2

A day night, very has already been late, pair of old husbands and wives enter a hotel, they want a room. The onstage waiter replied: "Sorry, our hotel already sold out, a vacant room has not been left over." Looks this to the old person exhausted facial expression, the waiter also said: "But, lets me try to find solution... ... "
Narrates to here, you under hoped has a number study continuation, is willing to obtain a literature the result? But no matter how, mathematics and the literature all will bid good-bye in here.
Mathematics story is develops like this: This good intention waiter starts to begin to solve the room problem for this to the old person: He awakens the boarder which in the hotel already went to sleep, asked them to trade the place: 1 janitor's visitor trades to 2 janitors between, 2 janitors' visitors trade to 3 janitors between... ... Analogizes by this, until each boarders all move to the next room from own room. By now the miracle appeared: Between 1 janitor emptied unexpectedly. The waiter happily has arranged this to old age husbands and wives. Has not increased the room, has not reduced the visitor, two old people arrive when all rooms all lived fill the visitor □□but through to let each visitor move merely to the next room, the result first room emptied, why was this? /Originally, two old people enter are in mathematics famous Hilbert hotel □□it were considered is has the innumerable rooms hotel. This story is great mathematician David □Hilbert narrates, he has drawn out in mathematics "the infinity" concept. This concept regarding this discipline said important, may say how if won't have its us on to be very difficult to imagine mathematics to exist. So long as can count the human all knew that, each integer all has a successor until infinitely (therefore in the Hilbert hotel, behind each house all can have between until to be infinite)... ... Mathematics is about the infinity science.
Good, we return to the waiter to say "lets I tries to find solution" the place. The literature story is continues like this. This literature waiter should the rich person and the compassion, he certainly is not cruel enough to the night to let this go out to the old person looks for the lodgings in addition. Moreover in this kind of small town, sold out feared other inns also already to take a break, how can it be that this to the old person which was utterly exhausted cannot in the night wander about destitute the street corner? Thereupon the good intention waiter eagerly anticipates this to the old person to a room, said: "Perhaps it is not best, but now I only could achieve like this." The old person sees actually is between a neat clean room at present, happily has lived down.
Next day, when they arrive the onstage pays up, the waiter actually to them said: "Has not used, because I only was lend own room you to live late one □□wish your have a pleasant trip!" So that's how it is. Waiter one have not late rested, he on in an onstage value all night night shift. Two old people are moved extremely. Old man said that, "The child, you are I had seen the best inn manages the human. You can obtain the repayment." The waiter smiled, said this could not calculate any. He makes funeral arrangements the human to go out, turns around then the busy own matter, has forgotten this matter clean. Had not thought one day, the waiter has received a correspondence, opened looked, inside had to go to New York the one-way airplane ticket and has the brief postscript, invited him to do another work. He goes by plane comes to New York, marks the route according to the letter in to arrive a place, catches the eye as soon as looked, a resplendent in gold and jade green hotel towers in him at present. Originally, several months ago that nights, he receives is has 100.01 million properties wealthy men and his wife. The wealthy man has bought a hotel for this waiter, deeply believes him to be able management management this hotel. This is global illustrious Manager Hylton's the hotel first elected legendary story.
The matter all is waiter's wisdom brains start which from a rich sympathy, fills with the benevolence: "Lets me try to find solution... ... " Enters mathematics the domain, needs certainly is the strict logic, reasonable deduction and precise proof; Arrives the literature world, relies on is the happy human nature actually, moving plot and accident but complete result. But you discovered does not have: No matter is literature mathematics, the result all very is mysterious □□likes adding on the wisdom originally is can have the miracle.

Answer 3

A day night, very has already been late, pair of old husbands and wives enter a hotel, they want a room. The onstage waiter replied: "Sorry, our hotel already sold out, a vacant room has not been left over." Looks this to the old person exhausted facial expression, the waiter also said: "But, lets me try to find solution... ... "
Narrates to here, you under hoped has a number study continuation, is willing to obtain a literature the result? But no matter how, mathematics and the literature all will bid good-bye in here.
Mathematics story is develops like this: This good intention waiter starts to begin to solve the room problem for this to the old person: He awakens the boarder which in the hotel already went to sleep, asked them to trade the place: 1 janitor's visitor trades to 2 janitors between, 2 janitors' visitors trade to 3 janitors between... ... Analogizes by this, until each boarders all move to the next room from own room. By now the miracle appeared: Between 1 janitor emptied unexpectedly. The waiter happily has arranged this to old age husbands and wives. Has not increased the room, has not reduced the visitor, two old people arrive when all rooms all lived fill the visitor □□but through to let each visitor move merely to the next room, the result first room emptied, why was this? /Originally, two old people enter are in mathematics famous Hilbert hotel □□it were considered is has the innumerable rooms hotel. This story is great mathematician David □Hilbert narrates, he has drawn out in mathematics "the infinity" concept. This concept regarding this discipline said important, may say how if won't have its us on to be very difficult to imagine mathematics to exist. So long as can count the human all knew that, each integer all has a successor until infinitely (therefore in the Hilbert hotel, behind each house all can have between until to be infinite)... ... Mathematics is about the infinity science.
Good, we return to the waiter to say "lets I tries to find solution" the place. The literature story is continues like this. This literature waiter should the rich person and the compassion, he certainly is not cruel enough to the night to let this go out to the old person looks for the lodgings in addition. Moreover in this kind of small town, sold out feared other inns also already to take a break, how can it be that this to the old person which was utterly exhausted cannot in the night wander about destitute the street corner? Thereupon the good intention waiter eagerly anticipates this to the old person to a room, said: "Perhaps it is not best, but now I only could achieve like this." The old person sees actually is between a neat clean room at present, happily has lived down.
Next day, when they arrive the onstage pays up, the waiter actually to them said: "Has not used, because I only was lend own room you to live late one □□wish your have a pleasant trip!" So that's how it is. Waiter one have not late rested, he on in an onstage value all night night shift. Two old people are moved extremely. Old man said that, "The child, you are I had seen the best inn manages the human. You can obtain the repayment." The waiter smiled, said this could not calculate any. He makes funeral arrangements the human to go out, turns around then the busy own matter, has forgotten this matter clean. Had not thought one day, the waiter has received a correspondence, opened looked, inside had to go to New York the one-way airplane ticket and has the brief postscript, invited him to do another work. He goes by plane comes to New York, marks the route according to the letter in to arrive a place, catches the eye as soon as looked, a resplendent in gold and jade green hotel towers in him at present. Originally, several months ago that nights, he receives is has 100.01 million properties wealthy men and his wife. The wealthy man has bought a hotel for this waiter, deeply believes him to be able management management this hotel. This is global illustrious Manager Hylton's the hotel first elected legendary story.
The matter all is waiter's wisdom brains start which from a rich sympathy, fills with the benevolence: "Lets me try to find solution... ... " Enters mathematics the domain, needs certainly is the strict logic, reasonable deduction and precise proof; Arrives the literature world, relies on is the happy human nature actually, moving plot and accident but complete result. But you discovered does not have: No matter is literature mathematics, the result all very is mysterious □□likes adding on the wisdom originally is can have the miracle.

Answer 4

我的老天啊~~楼上的佩服!