Everyone was ignorant. 所有人都懵了。 Hadn't finished talking a moment ago finishes talking the scene that the idea should not enter you to call from a high place now I to bow the head in greeting ideally? Why will present „trial” this matter? Isn't this script right? 刚才不是已经谈完理想谈完理念现在不是应该进入你登高一呼我纳头便拜的场景吗？为什么会出现“试炼”这种事情？这剧本不对啊？ , Before then, you „idea” did not give to share, entered „the minute/share of meat ate” the rhythm clearly, why can brush the person suddenly? 不不不,在这之前,你连“想法”都给共享了,明明白白进入了“分肉吃”的节奏,为什么突然就要刷人？ „You really do not think, my test doesn't have?” king Qi smiles: „Relax, is not difficult.” “你们不会真的以为,我一点考验也没有吧？”王崎微笑:“放心,不难的。” Zhao Qingtan said: „This...... the Junior Brother, some are not right. Your this order is not right, should not take a test in Stage 1, then after waiting to test, came to speak your concepts with us?” 赵清潭道:“这……师弟,这有些不对劲。你这顺序不对啊,不应该在第一阶段就考试,然后等考完了之后再来跟我们讲你那些观念吗？” Currently everyone has „us with great difficulty is whole family of loving for one another” collective spirit, but you actually must start to catch up with the person...... to look at the atmosphere the bastard! 现在大家好不容易有了“我们是相亲相爱的一家人”的集体观念,可你却要开始赶人……会不会看气氛啊混蛋！ king Qi smiles: „Because I like.” 王崎笑了笑:“因为我喜欢。” „You also knew a moment ago, my here, is based on axiomization as before ‚’ method. Therefore, has very high request regarding the level of set theory. Then is the algebraic topology. You understand that I am studying this domain now. Then is the functional analysis......” “你们刚才也知晓了,我这儿呢,依旧是以‘公理化’为基础方法的。所以,对于集合论的水平有很高的要求。然后就是代数拓扑学。你们明白的,我现在就在研究这个领域。接下来就是泛函分析……” He grins to say with a smile: „Range is a little possibly broad, but, everyone remembers that makes contribution.” 他咧嘴笑道:“范围可能有一点广,但是,大家记得尽力啊。” king Qi the hand shakes, throws these examination papers in the standard hidden weapon technique to everyone in front. Originally, some people are harboring „by some chance” the psychology, thought that perhaps front this mental illness really can set a simple topic, did has crossed even. However, quick, they started to shout 'fuck your mom'. 王崎手一抖,以标准的暗器手法将那些试卷投到每一个人面前。原本,一些人还是抱着“万一”的心理,觉得面前这个神经病或许真的会出一份简单的题目,做过就算过了。但是,很快,他们就开始骂娘了。 In this each topic is each topic! Completely! Yes! Most front issue! 这里面的每一题是每一题！全部！都是！最前沿的问题！ And! The range is very broad! Covered most different domains! 而且！范围很广！涵盖了绝大多数不同的领域！ Just shortly after untied, or present also in issue of research. Very profound theorem. 刚刚解开不久的,或者现在还在研究的问题。或者非常高深的定理。 „Everyone only with writing some own views was good, I do not request high , a view.” king Qi as if smiles wicked interest very much. This made some people have to see the hope. “大家只用写一些自己的看法就行了,我要求不高,真的,一个看法。”王崎似乎笑得很恶趣味。这让一些人有看到了希望。 So long as compared with others good on line! 只要比其他人好就行了！ Has such thought that these people start the doing topic furiously. 带着这样的念头,这些人开始奋力的做题。 The mortal body of member is powerful, the hand fast is not the mortal can imagine. The content that basically must write only needed in the brain, in the hand to be able quick finishing. Therefore the quantity of topic cannot to them the constitution question. 修士的肉身已经非常强大,手速不是凡人能够想象的。基本上要写的内容只需要在脑子里过一遍,手上就可以很快的写完。因此题目的量对于他们来说并不能构成问题。 The key is the range and difficulty of topic. 关键是题目的范围和难度。 Even takes a test, generally the teacher will still delimit a key point. 就算是考试,一般老师也会划个重点。 However king Qi not. The scopes of his these topics, pull out radically from the innumerable domains. 但是王崎不。他这些题目的范围,根本就是从无数个领域里面抽出来的。 king Qi sits on oneself chair, tranquil sitting in repose with eyes closed. 王崎坐在自己的椅子上,平静的闭目养神。 „In the middle of these examination questions, proportion biggest is the set theory, because of Bourbaki School ‚structuralism’ viewpoint, with calculating the lord is all connected, similarly needs the suitable set theory level. But later, deferred to Bourbaki School the mentality to arrange firmly.” “这些考题当中,比重最大的就是集合论,因为布尔巴基学派的‘结构主义’观点,和算主一脉相承,同样需要相当的集合论水平。而之后,就是牢牢按照布尔巴基学派的思路布置了。” king Qi told Bourbaki School thought time, has not said entire. Some relatively mature, perfect very high thing, he has not said. 王崎讲述布尔巴基学派思想的时候,并没有说全。有一些比较成熟、完善度很高的东西,他就没有讲。 For example, Bourbaki School most core „three big female structures”, or „three big origin structures”. With „group, link and territory” algebraic structure, centered on „partial ordering and simply ordered” foreword structure, as well as centered on „neighborhood, continuously, limit, connectivity and dimension” topology. 比如说,布尔巴基学派最核心的“三大母结构”,或者说“三大始源结构”。以“群、环、域”为核心的代数结构,以“偏序、全序”为核心的序结构,以及以“邻域、连续、极限、连通性、维数”为核心的拓扑结构。 These three big origin structures, must not be the complete origin structures, but above this, but should also have a more underlying structure. However, the path of Bourbaki School also arrived here first-generation, second-generation and even some third-generation Bourbaki School mathematicians died or retired, the following successors lost the great ambition of senior gradually. 这三大始源结构,应当不是全部的始源结构,而这之上,还应该有更根本的结构。但是,布尔巴基学派的道路也就到这里的第一代、第二代乃至部分第三代的布尔巴基学派数学家死去或者退休,后面的继承者们就渐渐失去了前辈的雄心。 Although Bourbaki School remains, Bourbaki math discussed that the class is also still continuing, «Math principle» is also leaving following, but they already not initial ability. 虽然布尔巴基学派还存在着,布尔巴基数学讨论班也还在继续开,《数学原理》也在出后续,但是他们已经没有最初的能力了。 Perhaps is because these successors also discovered that lofty aspirations and high ideals of senior were extremely really fearful and exceeded their area of competence. 也许是因为这些后继者也发现前辈的雄心壮志实在太过可怕、超过了他们的能力范围吧。 Moreover, the concept of Bourbaki School cannot explain all. Some domains, are unable to integrate Bourbaki School the system. 另外,布尔巴基学派的观念也不能解释一切。有一些领域,无法纳入布尔巴基学派的体系。 For example, theory of numbers. 比如说,数论。 This point said that somewhat is rather funny. Bourbaki School received the mentality of Gottingen school of thought that with „concept” displacement „computation”, according to the minute/share of law of divine land, is standard „leaves sect”. But, to sect most typical division/discipline branch „theory of numbers”, Bourbaki School is not instead able the end opening. 这一点说起来未免有些滑稽。布尔巴基学派秉承了哥廷根学派的思路,用“概念”代替“计算”,按照神州的分法,就是标准的“离宗”。可是,离宗最具代表性的学科分支“数论”,布尔巴基学派反而无从下口。 In the concept of Bourbaki School, „integer yes exchange link of integer set constitution ”, has no way to penetrate into the nature of concrete number. The pearl calculates 【Goldbach's conjecture】, Calculates to the element 【Twin prime conjecture】, Do not want to reach the useful opinion from Bourbaki School here. 在布尔巴基学派的观念里面,“整数”是“整数集合构成的交换环”,没法深入到具体的数的性质。明珠之算【哥德巴赫猜想】,对素之算【孪生素数猜想】,都别想从布尔巴基学派这儿取得一点有用的意见。 Another awkward place came from king Qi. 另一个尴尬之处则来自于王崎自身。 In another domain of his merit law, is calculates that and actual situation that the mathematical logic extends two merit law, has the cybernetics thought that manifests, similarly and idea of Bourbaki School is incompatible. The recursive theory does not have the means to be integrated into this system. 他功法的另一个领域,同样是数理逻辑延伸的算器、虚实两相功法、还有里面体现的控制论思想,同样和布尔巴基学派的理念格格不入。递归论都没办法纳入这个体系。 If king Qi has done, he may have to face an awkward aspect. He did a school of thought that did another school of thought with own teacher and Turing honorable person, then two online theory fundamental having no way integrations arrive at the same place. 如果王崎一直做下去的话,他或许会不得不面对一个尴尬的局面。他自己搞了一个学派,和自己的老师、图灵真人搞了另一个学派,然后两条线上的理论根本没法统合到一起。 „But, this is also good.” king Qi the train of thought flutters far: „Happen to examines itself to control many different thinking modes the ability......” “不过,这样也挺好啊。”王崎思绪飘远:“正好检验自己驾驭多种不同思维方式的能力……” He looked at writing with vigor these member. 他又看了一眼正在奋笔疾书的那些修士。 Some people have vacillated. Several gold/metal pill cold sweat streaming, then did not say a word left here. 已经有人动摇了。好几个金丹冷汗涔涔,然后一言不发的离开这里。 king Qiye has not stopped. 王崎也没有阻拦。 Bourbaki School research subject content is numerous and disorderly, is numerous, but, their characteristics are „unity”. In this, the thought of no theory does not reflect in other domains. 布尔巴基学派研究主题内容庞杂,数量繁多,但是,他们的特点在于“统一性”。这里面,没有一个理论的思想是不在其他领域反映出来。 This thought that is also they often reflects in the discussion class. 这种思想,也是他们时常在讨论班上反映出来的。 At nightfall, king Qi announced completes an assignment. 入夜时分,王崎宣布交卷。 „Good, the trial ended, everyone hands over the thing.” “好了诸位,试炼结束,大家把东西交上来吧。” All member put on a long face, are clenching teeth, the examination paper in oneself hand will hand over. 所有修士都哭丧着脸,咬着牙,将自己手中的试卷交上去。 king Qi glances through this thick answer rapidly. The contents of these answers add, perhaps had a book so many, but he time turned in a minute. 王崎飞速翻阅这厚厚的答案。这些答案的内容加起来,或许都有一本书那么多了,但是他片刻功夫就翻完了。 This makes the member who these answered earnestly very discontented. No matter what who saw thing that oneself wrote laboriously such mean, in the heart will be discontented. Moreover, in their hearts also had such thought. 这让那些认真作答的修士很不满。任谁看到自己辛苦写成的东西被这样轻贱,心中都会不满的。另外,他们心中也生出了这样的念头。 Is your talent, again difficult to be inadequate can also exceed each of us in so many domains comprehensively? 你再天才,难不成还能在这么多领域当中全面超越我们每一个人？ But the response that Feng Xingchong this kind ties member pill is simpler. 而冯兴衝这类结丹修士的反应则简单很多。 Certain...... has wanted...... 一定……一定要过…… king Qidao: „First, I must first congratulate everyone, you were qualified.” 王崎道:“首先,我要先恭喜一下大家,你们全部合格了。” „?” Everyone has not responded: „This is......” “诶？”所有人都没有反应过来:“这是……” „This tests your basic level. Has the correct understanding regarding the set theory, has the considerable widespread ponder to the arithmetic, then...... basically so many. Had so many enough.” king Qidao: „Therefore, so long as can write most, then does not have the fundamentals or the logical mistake, even crossed.” “这只是测试一下你们的基本水平而已。对于集合论有正确的认识,对算学有着相当广泛的思考,然后还有……基本就这么多。有这么多就够了。”王崎道:“所以呢,只要能写出大半,然后没有根本性或者逻辑性的错误,就算过了。” Feng Xingchong almost sits pours in underground. He said: „This...... this also too tested the disposition some......” 冯兴衝差点坐倒在地下。他道:“这……这也太考验心性了一些……” All writes all over can? This is delivers minute/share of where coming to take a test! 全写满就可以过？这是哪来的送分考试啊！ Gathers person who was leaving a moment ago, because completely...... because the disposition doesn't go through a strategic pass? 合着刚才走掉的人,全部都因为……因为心性不过关？ „Then, second, you also a little make me very discontented.” king Qi both hands hold these test questions that set. Suddenly, one group of flame „bang” the appearance, all examination papers burninged out in a flash. “然后,第二点,你们还有一点让我很不满。”王崎双手捧起自己出的那些试题。突然,一团火焰“嘭”的出现,所有试卷转瞬之间就被烧尽。 „You no one said unexpectedly ‚perhaps theory possible existing problem’ or ‚existing theory is unable to explain’.” king Qi shakes the head: „You disappoint me.” “你们居然没有一个人表示‘理论可能存在问题’或者‘现有理论或许无法解答’。”王崎摇摇头:“你们让我很失望啊。” The people petrify again. 众人再一次石化。 „Generally speaking, dares to write this answer, completed the scolded consciousness......” Su Jun yu is discontented to say. “一般来说,敢写这种答案的,都是做好被骂的觉悟了吧……”苏君宇不满道。 „, That is the ordinary circumstances. Difference that but we must make, what we request is what? Is the foundation of recast arithmetic! Is broken then stands!” king Qi said seriously: „You must have in the middle of such consciousness existing theory, the words that the issue cannot think through, use our mentality, pushes.” “咳咳,那是一般情况。可我们要做的不一样啊,我们要求的是什么？是重铸算学的基础！是破而后立！”王崎严肃道:“你们应当有这样的觉悟现有理论当中,有一个问题想不通的话,就用我们的思路自己过一遍,强推过去。” This is also Grothendieck's method. 这也是格罗滕迪克的方法。 Grothendieck the high school or the university, the environment is poor, the been able to find math teacher level was inferior to him. In the high school, he intense recognizing „math textbook is not very thorough” and steadfast trust „is the textbook has the issue rather than I to have issue”. Then, just entered the university time, he was independent in the middle of math textbook many concepts redefined. 格罗滕迪克无论是高中还是大学,环境都不怎么好,找得到的数学老师水平都不如他。在高中的时候,他就强烈的认定“数学课本不够深入”并坚定不移的相信“是课本有问题而不是我有问题”。然后,刚刚进入大学的时候,他就独立将数学课本当中的许多概念重新定义了一遍。 In fact, that is not the issue of math textbook, but will be the common high-school student will not involve that thorough concept. They only need to know that the length and breadth high, knows the cube area mass density is how good, does not need from the angle of math to know that what is „length” what is „area” what is „volume” to people, this is obvious. 实际上,那不是数学课本的问题,而是一般的高中生根本不会涉及那么深入的概念。他们只需要知道长宽高、知道如何求体积面积质量密度就好,不需要从数学的角度知道什么叫“长度”什么叫“面积”什么叫“体积”对于一般人来说,这就是不言自明的。 He in fact used the post-war three years, discovered and defines the measure discuss with the concept of Loehberg overall by studying independently. 他实际上是用了战后的三年,重新发现并定义了测度论与勒贝格积分的概念靠自学。 Some Bourbaki School also similar attitudes, but displays not to have Grothendieck is so extreme. 布尔巴基学派也有一些类似的作风,只不过表现出来没有格罗滕迪克那么极端。 Grothendieck is not interested in the achievements of other mathematicians. So long as is he thinks interesting, crucial issue, Grothendieck rather discover and proves one these achievements to him, this is not what time-comsuming most of the time. 格罗滕迪克对于其他数学家的成果并不感兴趣。只要是他认为有趣的、关键性的问题,格罗滕迪克宁可自己重新发现、证明一遍那些成果对于他来说,这在大多数时候都不费什么功夫。 Just, this does not have the means to bring what fame and fortune. Naturally, Grothendieck does not care. 只不过,这样就没办法带来什么名利罢了。当然,人家格罗滕迪克也不在乎。 But Bourbaki School, has in the unceasing smashing redefines others 's achievement, will integrate own „structurization” system. 而布尔巴基学派,就是在不断的粉碎还有重新定义他人的成果,将之纳入自己的“结构化”体系。 king Qi requests his new partner now.( To be continued.) 王崎现在就是这么要求他的新伙伴的。(未完待续。)