WIIC :: Volume #5

#219: Grothendieck


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king Qi not concrete looks at anything. His spirit knowledge spreads like the water generally, in entire calculates that forest Yuenli ripples. Is next to the spirit knowledge of Yuan god period not to cause unexpectedly other attention of tying pill period member, raising the head that only then a few Yuan god period member have doubts, feeling this resembles the right and wrong is Yuan god period strength. 王崎并没有具体的看什么。他的灵识如同水一般蔓延,在整个算林苑里荡漾。仅次于元神期的灵识竟没有引起其他一些结丹期修士的注意,只有少数几个元神期修士疑惑的抬起头,感受这似是非是的元神期力量。 king Qi this in the people of understanding recent ten thousand method was discussing that anything, studies anything. 王崎这就是在了解最近万法门的众人都在讨论什么、研究什么。 This in discussing the library cannot see. Because in the literature by library, in fact is these ten thousand method disciples already the thing that completes. In the thing of fermentation, and common disciple the direction that pays attention, king Qi can not know through these papers. 这就是在论文库里看不到的了。因为论文库里的文献,实际上都是那些万法门弟子已经完成的东西。一些在酝酿的东西、以及一般弟子正在关注的方向,王崎就不能通过那些论文知晓的。 Finally is good. 结果还算不错吧。 Soon, king Qishou the magical powers, then said: Estimates very much with me looks like, good good.” 不多时,王崎收了神通,然后道:“和我预想得很像嘛,不错不错。” Su Jun yu is perplexed: There was good 苏君宇不明所以:“那里不错了” Now has not said.” king Qizhi referred to these bookshelves: What on this is calculates that the book does have?” “现在还不好说。”王崎指了指那些书架:“这上面是不是什么算书都有?” Un, uses at will. Here is quite commonly used, a more profound content, must go to the bright law building.” “嗯,随意取用。只是,这里都是比较常用的,更加高深的内容,得去明法楼。” The bright law building, was the libraries of ten thousand method most cores. 明法楼,就是万法门最核心的藏书楼了。 Calculates forest Yuan gathers, mostly is a Yuan god who senior gold/metal pill and has not made a name. These member are one of the arithmetic foundations. 算林苑所聚集的,多半是资深金丹和还未成气候的元神。这些修士就是算学的基础之一。 king Qi nods: „Do the words of borrowing books, what have to request?” 王崎点点头:“借取书籍的话,有什么要求吗?” This disciple was OK by immortal record/native place Pei.” Su Jun yu said with a smile: Our two brothers are the true line disciples, restricted does not have so many, only with pledging did not read the line to other non- ten thousand method disciples the book on own initiative naturally, yourself rephrased in own words.” “本门弟子凭借仙籍珮就可以了。”苏君宇笑道:“咱哥俩都是真传弟子,拘束就没那么多了,只用发誓不主动将书给其他非万法门弟子看就行当然,你自己转述都可以。” king Qi nods, said: I truly need to borrow such several books, leading me to have a look.” 王崎点点头,道:“我确实需要借那么几本书,带我去看看吧。” The bright law building from calculating forest Yuan is not far, but two people almost twinkling. Here occupies a land area compared with calculating forest Yuanda some, the person of communication are also many. Moreover like not calculating forest park these disciples, has immersed in own world, many disciples before bright law building, borrow the books, prepared to find a peaceful place carefully to ponder, mostly also in the middle of sobriety. 明法楼距离算林苑不算远,两人几乎瞬息而至。这里占地比算林苑大一些,来往的人也不少。而且不像算林苑那些弟子,都已经沉浸在自己的世界里,明法楼前的诸多弟子,都是借来了书本,准备找个安静的地方好好思考,大多还在清醒当中。 These member ten thousand Famen saw king Qi, friendly greeting of without any exception, then unintentional decoration behind king Qi, must look at that probably he prepares to incite anything. 那些万法门修士见了王崎,无一例外的友好的打了个招呼,然后有意无意的缀在王崎后面,好像要看他准备鼓捣什么。 king Qi asked on the quiet: What is this prepares to make?” 王崎悄悄问道:“这是准备做什么?” Approximately is prepares to look that what book you do want to borrow?” Su Jun yu is also small the sound said: Your present research , can a certain extent on behalf of the general orientation of arithmetic.” “大约是准备看你想要借什么书?”苏君宇也小声道:“你现在的研究,也能够在一定程度上代表算学的大方向啊。” Calculates that Monarch sidewise compression temporary time, the mainstreams of ten thousand methods are the analysis situses. Calculates that Monarch goes to the star sea other shore, to calculate Lord rising age, the point that member ten thousand Famen pay attention to are also many are the logic. Now, after king Qi two papers select turned calculated Lord, ten thousand methods then lost one general orientation. Calculates Mr.'s analysis situs and chaos, the song courtyard sends „the law of collapsing, the recursion of Feng Luoyi Turing honorable person, ten thousand have wait/etc, almost all flowers blooms together. 算君横压一时的时代,万法门的主流就是拓扑。算君前往星海彼岸、算主如日中天的年代,万法门修士们关注的点又多是逻辑。现在,王崎两篇论文挑翻了算主之后,万法门便失去了一个“大方向”。算君的拓扑、混沌,歌庭派的“破局之法”,还有冯落衣图灵真人的递归、万有等等,几乎是百花齐放。 If were not king Qi were missing for a year, perhaps will also be involved during this big discussion. 如果不是王崎自己失踪了一年,兴许也会卷入这一场大讨论当中。 king Qi the voice was louder: „, This also there is no secret. My this time wants to borrow calculates that Mr.'s algebraic topology is mainly the simple form algebraic topology calculates Monarch duplicate/restores gets clouds over the reasoning, if the metaphysical algebraic method particularly group theory of clear fairy maiden, the coherence and homotopy are most important 王崎声音大了些:“哦,这个也没什么秘密可言。我这次就是想借阅算君的代数拓扑主要是单形代数拓扑算君多复变变天论法,若澈仙子的形而上代数法尤其是群论,同调和同伦这一块更是重中之重” He makes others hear intentionally. 他就是故意让别人听见的。 Su Jun yu hears half to think that is not a little right: And other meetings, wait to wait for the meeting brothers, is this not same as your beforehand research?” 苏君宇听到一半觉得有点不对:“等会,等会等会兄弟,这和你之前的研究不大一样吧?” Before king Qi, most famous is logic. His merit law is to calculate the foundation, but calculates that the theory came from the logic. He becomes famous complete law is the logic. But represents „not completely he defeats the senior cannot determine is also the logic. 王崎之前最出名的就是“逻辑”。他的功法是算器基础,而算器之论就是来自于逻辑。他成名的“完备律”是逻辑。而代表他战胜前辈的“不完备不可判定”也是逻辑。 In this domain, he is the absolute powerhouse. 在这个领域,他已经是绝对的强者了。 However, several that king Qi sent out a moment ago, have nothing to do with these research directions. 但是,王崎刚才报出的几个,都和这些研究方向无关。 Naturally, cannot say there is nothing to do completely. In the past calculates that the lord wanted to contain the entire arithmetic with the set theory, therefore also some people believe, these can be expressed by the logic similarly. This idea also went bankrupt because of king Qi. 当然,也不能说完全无关。当年算主想要用集合论包容整个算学,所以也有些人认为,这些同样可以被逻辑所表示。只是,这个想法也因为王崎本人而破产了。 In Su Jun yu impression, these with logical having nothing to do domain, king Qi is truly outstanding, but the distance is a little also away from outstandingly, not necessarily has the capital of doing the research. 在苏君宇的印象里,这些与逻辑无关领域,王崎确实优秀,但距离出类拔萃还有点距离,未必有做研究的资本。 Especially king Qi now enemy run all over the place, if not good to overwhelm with criticism to overwhelm with criticism easily. 尤其是王崎现在仇家满天飞,若是一个不好就容易被批倒批臭。 He was anxious, passes message into the dense say/way: Junior Brother, now not compared with past years. An important goods child person follows you to look for the food to eat, you mix again to sect continually sect matter, these people does not have the advantage to you behind.” 他急了,传音入密道:“师弟啊,现在可不比当年啊。一大帮子人跟着你找饭吃,你再掺和进离宗连宗这档子事里,对你身后那些人没好处啊。” This was Su Jun yu worry. king Qi representative, may not only be now calculates family/home, is „the actual situation two amends law this vanguard technology. If he displays the extremely obvious standpoint, is very easy to offend a group of people. 这就是苏君宇的顾虑了。王崎现在代表的,可不仅仅是一个“算家”,更是“虚实两相修法”这一门先锋技术。如果他本人表现出太过明显的立场,很容易得罪一批人。 Spoke frankly, if he extremely left the sect, then even/including sect the person may not buy his tent/account. 直说,如果他太过离宗,那么连宗的人就有可能不会买他的帐。 king Qi shakes the head: I to the disciple, because I thought that to sect good, is more suitable I to the mentality of sect.” 王崎摇摇头:“我是离宗弟子,因为我觉得离宗好,离宗的思路更加适合我。” Su Jun yu shakes the head, knows oneself cannot calm down. He said: Good, you told me, did you prepare to do?” 苏君宇摇摇头,知道自己是劝不住了。他道:“那好吧,你告诉我,你准备去干什么?” Does the insignificant work.” “做一点微不足道的工作。” Concrete?” Su Jun yu knits the brows: Which direction concrete is?” “具体?”苏君宇皱眉:“具体是哪一个方向?” Does not know.” “不知道。” Su Jun yu was happy: How saying that doesn't know?” 苏君宇乐了:“怎么还有说不知道的?” What direction a person wants to study, what issue wants to attack and capture, can oneself also not know? 一个人想要研究什么方向,想要攻克什么问题,自己还能不知道? On for example Chen Menzhu, the desire of his lifetime is to attack and capture the pearl calculates. But the Greek gate Lord pursue, summarizing is complete compatible decidability. But king Qi writes incomplete theorem cannot determine theorem, aims at latter's explanation. 就比如陈门主,他毕生的愿望就是攻克明珠之算。而希门主的追求,概括起来就是“完备性相容性可判定性”。而王崎写出的“不完备定理不可判定定理”,就是针对后者的解答。 Specific goal. 目的明确。 king Qidao: Why can some issue not be possible? Why turns toward to solve a major problem, to promote a flash news then heavenshaking under? Can't do the insignificant foundational work?” 王崎道:“为什么非要对着某个问题不可呢?为什么都向着解出一个大问题、搞出一个大新闻然后名震天下?就不能做一点微不足道的基础性的工作?” What depends on obviously solves loudly asks the autograph heavenshaking under is hello/you good! Your Senior Brother I have not become famous! 明明靠着解决大问题名震天下的是你好不好!你师兄我还没成名啊! Su Jun yu said: Doesn't have the direction?” 苏君宇道:“没有方向?” Research arithmetic tries.” “研究算学本身试一试。” king Qi smiles, had not related in detail. 王崎笑了笑,没有细说。 He does not know how should say. 他自己也不知道应该怎么说。 Has many achievements, most important is one inspiration. Posterity after knowing this inspiration, can come out simply the Goodall incomplete theorem that difficult problem solution is model. Once the thing of most core exposes, the truth was very simple. 有很多成果,最重要的就是一个“灵感”。后人在知道这个“灵感”之后,很简单就能将那一道难题解出来哥德尔不完备定理就是其中的典范。最核心的东西一旦点破,道理就很简单了。 However, the work of some people, cannot describe with inspiration simply. 但是,有些人的工作,就不能简单的用“灵感”来形容。 For example Grothendieck. 比如格罗滕迪克。 The mathematician of Earth aims at topic all. Henry Poincarb or David Hilbert, or Kurt Godel and Von Neumann , without one can be unconventional. Even John Nash this type takes pursuing difficult problem as specially happily, even compared with „the Olympics athlete common man of”. 地球的数学家无不以“题目”为目标。无论是亨利庞加莱还是大卫希尔伯特,抑或库尔特哥德尔和冯诺依曼,无一能够免俗。甚至还有约翰纳什这种专以追逐“难题”为乐,甚至被人比作“奥林匹克运动员一般的男人”。 However Grothendieck is actually different kind. He is not interested in any issue. No matter his time as before rising 23 issues, spreads hundred years of Fermat big theorems wait/etc, or old age millennium issue, he does not spare a glance. What he is interested is the math or behind these issues is bigger, a more widespread structure. 但是格罗滕迪克却是一个异类。他对任何“问题”都不感兴趣。不管是他那个时代依旧如日中天的二十三个问题,还是流传百年的费马大定理等等,又或者晚年的“千禧年问题”,他都不屑一顾。他感兴趣的是数学本身或者那些问题背后更大、更广泛的结构。 He is walking according to oneself step and on oneself road his entire life. If the halfway came across what issue, he solved conveniently, then like continues like bridging over slightly big point pebble nothing happened generally. But his each thought that emphasized universality. 他一生都是按照自己的步调、在自己的路上行走着。如果半路遇到了什么问题,他就顺手解决了,然后像什么都没有发生一般继续走就像跨过一个稍微大点的石子。而他的每一个念头,都更加强调“普遍性”。 Does not initiate attacking a fortified position to any issue specially, does not care to others 's achievement, insisted that constructs own world with own thought. 不专门向任何问题发起攻坚,对他人的成果也不甚在意,坚持用自己的思维重新构建自己的世界。 This is Grothendieck. 这就是格罗滕迪克。 Naturally, thinking mode which one is good and which one is bad of this thinking modes and other mathematicians , are very in fact difficult to appraise. But without a doubt, this individualistic achievement Earth in the 20 th century the magnificence of second half math. 当然,这种思维方式和其他数学家的思维方式孰优孰劣,实际上也很难评价。但毫无疑问,这种特立独行成就了地球二十世纪后半数学的辉煌。 Naturally, because this way was really extremely individualistic, therefore no one can adapt to this step. This is also Grothendieck leaves Bourbaki School finally the reason. 当然,也正是因为这种方式实在是太过特立独行了,所以没有谁能够适应这个步调。这也是格罗滕迪克最终离开布尔巴基学派的原因。 This person needs the entire mathematics circles to adapt to itself. 这个人需要整个数学界来适应自己。 king Qi wants to attempt now string theory, must first cause the string theory the mathematical foundation is also Bourbaki School and Grothendieck's achievement. 王崎现在想要尝试一下“弦论”,就必须先弄出弦论的数学基础也就是布尔巴基学派和格罗滕迪克的成就。 king Qi the ancestors lacked mainly also no one to have the courage also to want many string landscapes by the interest in the string facing that possibility compared with the universe atomicity, do not know regarding the mathematical foundation of string theory. Grothendieck is a willful and individualistic person, wanting plagiarizing achievement average person unable to accomplish. 只是,王崎上辈子就对弦论兴趣缺缺主要是也没有人有勇气面对那个可能性比宇宙原子数还要多的弦景观,对于弦论的数学基础就更不知晓了。格罗滕迪克又是一个任性且特立独行的人,想要“剽窃”成果一般人也办不到。 Moreover Einstein has the big significance to the physics, Grothendieck has the big significance to the math.” king Qi again how self-confident, has not grasped can the percentage hundred reappear that section of road. 而且“爱因斯坦对物理学有多大意义,格罗滕迪克就对数学有多大意义。”王崎再如何自信,也没把握能够百分百重现那一段路。 He can do, trains other oneself thinking modes, road who others will pass through in the past walk again. 他所能做的,也就是培养自己其他的思维方式,将当年别人走过的路自己再走一遍。 It can be imagined, this is not a simple matter. king Qi do not have the confidence to complete. 可想而知,这不是一个简单的事情。王崎自己也没有信心做好。 Difference that this probably and reaches an agreement.” Su Jun yu is sighing, king Qi had borrowed several books. He has turned head, discovered after others listened to his view, discusses spiritedly, obviously was also guessing that his king Qi prepares to sell what medicine. “这好像和说好的不一样啊。”苏君宇正在叹息,王崎就已经借了好几本书。他回过头,发现其他人听了他的说法之后,议论纷纷,显然也是在猜测他王崎到底准备卖什么药。 king Qi smiles, said: Same side, was not in below these years, has feel alienated with same side actually. My these days something want thousand machine pavilion, after waiting, is interested in these domains, might as well discusses 12 to my humble home slightly.” 王崎笑了笑,道:“诸位同门,在下这些年一直不在门中,倒是与诸位同门多有疏离。我这几日有些事情想要去千机阁一趟,等回来之后,对这些领域感兴趣的,不妨到寒舍稍稍探讨一二。” He also said in a low voice: And helps me spread.” 紧接着,他又低声说道:“且帮我扩散一下。” Su Jun yu is startled: Your this is prepares to make anything 苏君宇惊到:“你这又是准备做什么” Natives of Latvia enter the pit. 拉人入坑而已。 Bourbaki School itself/Ben is depends on many people to support together, even Grothendieck that fierce person, still needs a common goal solves the thing of minor details for him. To be continued 布尔巴基学派本就是靠着许多人一起撑起来的,就算是格罗滕迪克那种猛人,也需要一些志同道合者为他解决细枝末节的东西。未完待续
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