To the mathematician of Earth, was made the nervous breakdown by some theorem, most goes crazy. In the mental institution has stayed the mathematician, the quantity only compares in the mental institution has stayed the writer are small. 对于地球的数学家来说,被某一个定理弄得精神崩溃,最多是发疯。在精神病院呆过的数学家,数量仅比在精神病院呆过的文学家少。 But to the member in divine land, said that the heart was broken, might bring the physical property death. 而对神州的修士来说,道心被破,就有可能带来物理性的死亡。 Therefore, the Goodall incomplete theorem, regarding the member in divine land is very dangerous. 因此,哥德尔不完备定理,对于神州的修士是非常危险的。 Even if knew this theorem regarding king Qi this ancestors, the person who then this whole life will infer personally, encountered the danger. 即使对于王崎这种上辈子就知晓这一定理,然后这辈子又亲自将之推导出的人,都遇到了危险。 However, king Qi knows, this should not be the danger. 但是,王崎知晓,这应该不会是生命危险。 Right providing against contingencies, he estimated in advance ten possible conditions, make 12 plans. 对了以防万一,他预先就预估出十种可能的状态,做出十二种预案。 And, „condition B” refers to his present condition. 其中,“状况乙”就是指他现在的状态。 The collapse truly happened, is very serious, all means are unable to contain. However, to the final moment, the collapse will stop automatically, keeps a life for king Qi. 崩溃确实发生了,很严重,一切手段都无法遏制。但是,到了最后的关头,崩溃就会自动停止,为王崎留出一线生命。 „All axiom-systems are incomplete” this viewpoint, is only average person's misregistration to Goodall incomplete law. In fact, the currently known complete system exists. For example the western-style how much, it can be changed into a complete system by the axiom. Moreover, king Qi before the Goodall complete theorem that several years ejects 【In divine land, it is called ‚the Wang complete law’】, Also explained the completeness of all first-order logic systems. “所有的公理系统都是不完备的”这一观点,只是一般人对哥德尔不完备定律的误读。实际上,人类已知的完备系统是存在的。就比如说欧式几何,它就可以被公理化为一个完备的系统。另外,王崎在数年之前抛出的哥德尔完备定理【在神州,它叫做‘王氏完备律’】,也说明了一切一阶逻辑系统的完备性。 The collapse is not without limits. At least in the middle of king Qi cultivating law, but also has the thing that „is incomplete” can suspect, cannot subvert. 崩溃不是无止境的。至少王崎的修法当中,还存在“不完备”也不能怀疑、不能颠覆的东西。 king Qi felt oneself condition. His life fire only remains the frontline, is in danger. However, the pen in his hand has not stopped. 王崎感觉到了自己的状况。他的命火只剩一线,生命垂危。但是,他手中的笔还没有停下来。 That because he has been ready, left behind the subsequent hand. 因为他已经做好的准备、留下后手了。 Ring on king Qi the hand „math”, shoulder armor on shoulder „separation” shines in turn, then, Garvice inputs a new law secret art to king Qi within the body. 王崎手上的戒指“数学”,肩膀上的肩甲“离散”依次亮起,然后,贾维斯将一篇新的法诀输入到王崎体内。 „Because is incomplete, we are unable to prove an axiom-system not contradiction forever”, this similarly is to the misregistration of Goodall incomplete theorem. “因为不完备,我们永远无法证明一个公理系统无矛盾”,这同样是对哥德尔不完备定理的误读。 Goodall incomplete theorem veto, is „in an interior of system proved uniformity that this/should system” the possibility, this certificate process mentioned makes a round trip mixed. However its core idea utilized so-called „refers to”. 哥德尔不完备定理否决的,是“在一个系统的内部来证明该系统的一致性”的可能性,这个证明过程说起来复杂。但是其核心思想是运用了所谓的“自指”。 This statement oneself. 这个陈述陈述了自己。 This set contained itself. 这个集合包含了自己。 This is also in the middle of the logic the origins of many paradoxes. Earth „barber paradox”, divine land „refine the pill of immortality master paradox”, is „actually a set should in the final analysis including oneself” the question initiates. 这也是逻辑学当中许多悖论的来源。地球的“理发师悖论”、神州的“炼丹师悖论”,归根结底都是“一个集合究竟应不应该包括自身”的疑问所引发的。 But this incomplete law, can bypass. 而这一条不完备定律,是可以绕过的。 Cannot the completeness of proof system in the system, but can show from the system. 不能在系统之内证明系统的完备性,但是可以从系统之外证明。 We cannot prove this system according to the system. However can prove it through another system. 我们不能根据系统本身证明这个系统。但是可以通过另一个系统来证明它。 king Qi has done the correlation theories research 56 years ago. 王崎在五六年前就做过相关的理论研究。 The thought of Bourbaki School! 正是,布尔巴基学派的思想！ From the exterior proof! 从外部证明！ Bourbaki School, the itself/Ben is the mathematics circles of Earth after had been washed by the Goodall incomplete theorem ruthlessly, thing that derives. If according to the classification of divine land, belongs to an sect department. But according to Bourbaki School theoretical inference cultivating law. Also happen to can support, because incomplete law, but collapse leisurely/scatter supernatural power system. 布尔巴基学派,本就是地球的数学界在被哥德尔不完备定理狠狠洗过之后,重新衍生出来的东西。若是按照神州的分类法,同样属于离宗一系。而按照布尔巴基学派理论推演出的修法。也正好能够支撑因为不完备律而崩散的法力系统。 The support that Garvice gives, is correcting king Qi within the body collapse leisurely/scatter supernatural power. 贾维斯给出的支援,正在重新导正王崎体内崩散的法力。 Meanwhile, king Qi the paper was also near the end. 与此同时,王崎的论文也接近了尾声。 „Conclusion...... from this, I can show, regarding random arithmetic system, if contained the arithmetic system, then this system is impossible to satisfy the completeness and uniformity simultaneously. Regarding random arithmetic system, if contained the arithmetic system, then we cannot prove its uniformity in the interior of this system......” “结论……由此,我可以证明,对于任意的算学系统,如果其中包含了算术系统的话,那么这个系统不可能同时满足完备性和一致性。对于任意的算术系统,如果其中包含了算术系统的话,那么我们不能在这个系统的内部来证明它的一致性……” The completeness and uniformity cannot result and, this system is either self-contradictory. Either exists cannot prove proposition that cannot attest to falsity of! 完备性和一致性不可得兼,这个系统要么自相矛盾。要么存在着既不能证明也不能证伪的命题！ Bang! 轰隆！ If in king Qi the mind has the thunder light together crack. He feels refreshing, never has such soberly. 王崎脑海中如有一道雷光炸响。他感觉到神清气爽,从来就没有这么清醒过。 But on the other hand, his supernatural power system collapse leisurely/scatter meets again, was almost equal to experiencing a Nirvana. His cultivating for as before is ties initial period of pill, but cultivates the law essence hidden to have the sublimation. 而另一方面,他的法力系统崩散又重聚,几乎等于是经历了一次涅槃。他的修为依旧是结丹初期,但是修法本质却隐有升华。 ...... 啪啪啪啪啪…… In the middle of the air transmitted a series of resounding, like sharp voice. That is the supernatural power that in king Qi the unconsciousness dissipates to surrounding disturbing. 空气当中传来了一连串脆响,如同裂帛。那是王崎无意识中逸散的法力对周围的搅扰。 He stood, then sits down, thinks. Takes up a paper, wrote an appendix, restated the essence of Goodall incomplete law. And enclosed he did for these years off and on, has about „unrestricted induction arithmetic axiomization” paper. 他站了起来,然后又坐下,想了想。重新拿起一张纸,写了一个附录,再次声明哥德尔不完备定律的本质。并附上他这几年断断续续做的,有关于“超限归纳法算术公理化”的论文。 He, when writes this paper, encountered big collapse that amends the law. If others, how can also? 就连他本人,在写这篇论文的时候,遭遇了修法的大崩溃。若是其他人,又会怎么样？ Therefore, must attach points „safety measure” to be good. 所以,必须得附加一点“保险措施”才行。 Goodall is incomplete fixes a rate, although was and the important position in the history of mathematics, but showed that the process is quite on the other hand simple, the paper whole is very short. By king Zaki's thought speed and hand fast, entire chapter paper finished the hour. 哥德尔不完备定率虽然在数学史当中占据了及其重要的地位,但是证明过程相对来说比较简单,论文整体很短。以王崎的思维哦速度和手速,整篇论文个把小时就写完了。 He pushes the door to come out. Chen was thrown by suddenly, seizes his collar, scolded: „Actually are you up to mischief?” 他推门出来。陈由嘉突然扑了过来,揪住他的衣领,呵斥道:“你究竟在搞什么鬼？” „Writes the paper......” “写论文……” „You almost died......” Chen at this moment became by the faint expression very obviously, angry and suffering appeared simultaneously in her eyes. She uses the supernatural power to fetter the tears that the corner of the eye overflows, clenches jaws saying: „You almost died...... you almost dead! What paper are you writing?” “你差点就死了……”陈由嘉原本淡漠的表情这一刻变得很明显,愤怒和委屈同时出现在她的眼睛里。她用法力束缚住眼角溢出的泪水,咬牙切齿道:“你差一点就死了……你差一点就死了！你这是在写哪门子的论文？” king Qi then remembers, oneself are only 王崎这才想起,自己光是 „Pu Senior who in the past, founded the indistinct say/way because of discovering not but continuously the skill cleared.” king Qipai Chen by fine shoulder: „Similar truth......” “当年,开创缥缈之道的蒲前辈就因为发现了不连续而功力散尽。”王崎拍拍陈由嘉的肩膀:“差不多的道理……” Chen is obstructed by the fine breath, is at once steady: „Right......” her head buries on king Qi the shoulder: „This......” 陈由嘉呼吸一窒,旋即就平稳下来:“是吗……”她脑袋埋在王崎肩膀上:“这样啊……” If were others said, oneself is going to subvert the existing academic system, then Chen is thought mostly he was insane, or had neither learning nor skill essentially. But why does not know, king Qi said, she letter/believed. 如果是其他人说,自己将要颠覆现有的学术体系,那么陈由嘉多半会以为他疯了,或者本质上不学无术。但不知为什么,王崎这么说,她就信了。 Very strange, king Qi passes, although is very magnificent, but is only restricted in „talent” the category, said that he can make the free and unfettered progression now the achievement, is not quite credible. However, Chen was the letter/believes. 很奇怪,王崎过去虽然很辉煌,但是仅限于“天才”的范畴,说他现在就能做出逍遥级数的成果,不太可信。但是,陈由嘉就是信了。 Although king Qi is very insane, but at this matter actually not insane. 王崎虽然很疯,但是这件事上却未曾疯过。 „Hey, Junior Brother.” more/complete sudden appears, was saying to king Qi: „Master looks for you.” “喂,师弟。”弥突然出现,对着王崎说道:“师父找你。” „Well?” king Qi is somewhat surprised. Chen was said by the fine doubts: „Is Mr. Feng looks for you? Is paper that you wrote a moment ago?” “咦？”王崎有些惊讶。陈由嘉疑惑道:“难道是冯先生找你？是你刚才写的论文？” „Absolutely is not.” king Qi knows the weight. Before writing paper, he own calculates that placed several firewalls, ceases Feng Luoyi line of sight. Moreover his also usage energetically put into practice the arrange/cloth the surroundings, the digitization amended the law is to also calculate the difficult adversary of simulation spirit knowledge. Feng Luoyi is impossible to know all these. “绝对不是。”王崎还是知道轻重的。在写论文之前,他就给自己的算器安插了好几道防火墙,杜绝冯落衣的视线。而且他也用法力行布了周围,数据化修法也是算器模拟灵识的克星。冯落衣根本就不可能知道这一切。 If insisted saying that...... perhaps...... perhaps was because before him, revealed certain „idea”? 如果硬要说的话……也许……也许是因为他之前表露出的某些“想法”？ king Qi somewhat has doubts. He rapidly with own calculates that the ring completed falling into of paper, then admits own storage bag the manuscript paper in hand, will take cultivates for sealing up tyrannicalally and ensure will not be opened by anybody. 王崎有些疑惑。他迅速用自己的算器戒指完成了论文的沦入,然后将手中的稿纸放进自己的储物袋,以强横修为将之封住,确保不会被任何人打开。 Chen by here. Let her see, is very dangerous. 陈由嘉就在这儿。让她看见,真的很危险。 Has some pressures with rousing, king Qi submerged ten thousand immortal illusion again. 带着些许压力与振奋,王崎再一次潜入了万仙幻境。 Feng Luoyi has waited for king Qi in a illusion. Here is an appearance of library. Feng Luoyi and king Qi sit facing each other. On this old man face has a light scowl, scolded: „What king was Qi...... you thinking recently?” 冯落衣早就在一处幻境当中等待王崎。这里还是一个图书馆的模样。冯落衣和王崎相对而坐。这位老者脸上带着一丝淡淡的怒容,呵斥道:“王崎……你最近在想什么？” „I was trying to describe recently in the straight language the arithmetic. This process, because does not involve extremely complex arithmetic truth, therefore is very suitable to promote.” king Qi respectful saying: „I prepare to print the books , to promote under the entire day, spreads the say/way of my ten thousand law, hoping to let the world people can know that my ten thousand methods the truth, making more people be involved.” “我最近在试图将算学以平直的语言描述出来。这个过程,由于并不涉及太过复杂的算学道理,所以很适合推广。”王崎恭恭敬敬的说道:“我准备将之印成书册,在全天下推广,传扬我万法之道,以期让天下人都能晓得我万法门的道理,让更多的人投身其中。” Popular science, gains the good way of reputation. 科普,也是获取声名的一个好途径。 Hodgen, is the best example. This is also one of the king Qi plans, but is a long-term plan. 霍金,就是最好的例子。这也是王崎的计划之一,只不过是一个长期计划。 Feng Luoyi accepted king Qi the view, but cold -ly snorted and said: „You have this thoughts, is very good. However you did not feel, you must promote ‚truth’ , were some too dissolute?” 冯落衣接受了王崎的说法,但是冷哼道:“你有这心思,是很好的。但是你不觉得,你要推广的‘道理’里面,有些实在是太放肆了吗？” king Qichuai is installing clearly muddled: „Did teacher you say?” 王崎揣着明白装糊涂:“老师您说呢？” „‚Digit is transcends our thought thing-in-itself’, ‚we are unable to deny that logically one plus one was equal to three possibilities’ ‚no one worried one plus one is equal to three issues’.” Feng Luoyi is staring king Qi: „What did you want to say? Your meaning, should not say, everyone depends upon the feeling of ultra logic, completes the initial accumulation of arithmetic?” “‘数字本身就是超越我们思维的自在之物’,‘逻辑上我们无法否认一加一等于三的可能性’‘没有人担心一加一等于三的问题’。”冯落衣瞪着王崎:“你想要说什么？你的意思,应该不是说,每个人都是依靠超逻辑的感觉,来完成算学的最初积累吧？” „I proved the possibility.” king Qi maintains the low attitude as before: „In fact, calculates that Lord had not proven before the completeness that set theory, we can only say that ‚has possibility’. We truly cannot from the logical level deny proof ‚one plus one is equal to three’ possibility. As for another two, I also in statement fact.” “我只是论证了可能性。”王崎依旧保持低姿态:“实际上,算主还没有证明集合论的完备性之前,我们都只能说‘有可能’。我们确实不能从逻辑层面否认证明‘一加一等于三’的可能性。至于另外两条,我也只是在陈述事实而已。” Feng Luoyi is helpless: „Actually you when reversed to even/including sect who calculates Monarch?” 冯落衣无奈:“你究竟是什么时候倒向了算君的连宗？” „Disciple has never been partial even/including sect who calculates Mr .” king Qi respectful saying. Perhaps in „completeness” on, collapses completely to the thought that but, to the research mentality and method of work of sect is desirable. At least king Qi thinks. “弟子从未偏向过算君的连宗。”王崎恭恭敬敬的说道。或许在“完备性”上,离宗思想一败涂地,但是,离宗的研究思路和工作方法都是可取的。至少王崎是这么认为的。 „But your idea already some dangers.” “但是你的想法已经有些危险了。” king Qi respectful saying: „Because looks like on the disciple, the existing logic is really unreliable.” 王崎恭敬的说道:“因为就弟子看来,现有的逻辑真的不可靠。” „Is unreliable?” Feng Luoyi smiled. king Qi feels, has the offensive data to divert massively, almost must submerge him. “不可靠？”冯落衣笑了。王崎感觉到,大量带有攻击性的数据流用来,几乎要将他淹没。 „You say actually how to be unreliable? What having is unreliable?” “你倒是说一说,怎么不可靠？有什么不可靠？” „In the existing system, you can unable to find its unable to explain place?” “在现有的体系当中,你可找得到它无法解释的地方？” king Qidao: „Is only existing.” 王崎道:“只是现有。” „You can also see now no? You created a new arithmetic branch, then proved it unable by the axiomization?” “难道你还能看到现在没有的吗？你难道自己创造出了一个新的算学分支,然后证明它不能被公理化吗？” „No, Teacher.” king Qi shakes the head: „I have not founded a branch, but figured out the future.”( To be continued.) “不,老师。”王崎摇摇头:“我没有开创一个分支,而是算出了未来。”(未完待续。) ps: For these days must install one ****, asking the monthly ticket to ask the monthly ticket, the recommendation ticket the recommendation ticket mobile phone user please visit http://m.piaotian.net ps:这几天就要装一个****了,求月票啊求月票,还有推荐票啊推荐票手机用户请访问http://m.piaotian.net