king Qi scared saying: „Cannot think that could not think...... usually, I will have the so serious knowledge to see to bond unexpectedly...... really am, could not relax......” 王崎失魂落魄的说道:“想不到啊想不到……平素里,我居然也会产生如此严重的知见障……真是,一刻也放松不得……” king Qi said. 王崎如此说道。 How to say...... 怎么说呢…… In the history of mathematics of Earth, the war of the formalism and intuitionism, truly is hits miserably. 地球的数学史上,形式主义与直觉主义的战争,确实是打得惨。 However, fires off the later story, was not that popular. 但是,打完之后的故事,就不是那么脍炙人口了。 In the future, the history of mathematics will record at length is Bourbaki School, grasped Pope Grothendieck of mathematical half of the country, is Rantz guiding principle. 往后一段,数学史大书特书的就是布尔巴基学派,就是掌握了数学半壁江山的教皇格罗滕迪克,就是朗兰茨纲领。 As for the formalism and intuitionism...... accurate is the new formalism and intuitionism, some people are also doing actually. 至于形式主义和直觉主义……准确来说是新形式主义和直觉主义,倒是也是有人在搞。 But after all was the edge, historically was not so also dazzling. 但终归是边缘了,在历史上也就不那么耀眼了。 Un, how to describe...... 嗯,怎么形容呢…… The history department studied the Qing history, always studying the southern Ming Dynasty history can be more than some are not? 历史系研究清代史的,总比研究南明史的要多一些不是？ How Ming Dynasty „defended the entrance in emperor, king dead state”, Southern Ming was also only a salt fish that lost the ancestor base industry, the qualifications of compete did not even have. 明朝在如何“天子守国门,君王死社稷”,南明也只是一条丢了祖上基业的咸鱼,连逐鹿的资格都没有。 History amateur saw Chongzhen Emperor here , will how many people also study Southern Ming this salt fish even specially? 史爱好者看到崇祯这儿,也就算了,有多少人还会专门研究南明这条咸鱼呢？ Probably was this. 大概就是这样了。 To be honest, the disciples and followers of the intuitionism and formalism, in following have the achievement. 说实话,直觉主义和形式主义的徒子徒孙,在后续也不是没有成就的。 For example the following recursive theory, can be typical „left an achievement”. 比如后面的递归论,可以算是典型的“离宗成就”了。 But to the distinctive recursive theory, is even/including sect the distinctive theory of types, they have a common feature that is a part of computer science. 但无论是离宗特征明显的递归论,还是连宗特征明显的类型论,它们都有一个共同的特点那就是属于计算机科学的一部分。 Or attaches in the computer science simply lives. 或者说,干脆就是依附于计算机科学而活的。 In other words , is the computer science subordinate laborer. 换言之,都是计算机科学麾下的打工仔。 This truly could also be called is pitifully intimate. 这也确实称得上是凄凄惨惨戚戚了。 Intuitionism when Henry Poincarb old age, presents initially, seemed the Western Zhou Dynasty dynasty to be the same, was the world lord. 在亨利・庞加莱晚年的时候,初出现的直觉主义,就好像西周王朝一样,乃是天下共主。 But the intuitionism of David Hilbert years, seemed like the Eastern Zhou Dynasty dynasty to be the same, had one spatially „legitimate” given name, actually no one cared about it. 而大卫・希尔伯特时代的直觉主义,就好像是东周王朝一样,空有一个“正统”名号,却没人在乎它了。 If considering the formalism, the intuitionism and scene of logicism tripartite tangled warfare, perhaps and „the Eastern Han Dynasty” came the analogy more appropriate with Shu Han? 如果考虑到形式主义、直觉主义和逻辑主义三方混战的场面,或许用“蜀汉”和“东汉”来比喻更为合适？ But to behind, the intuitionism on even more weak trend, is almost a younger brother. This is just like the week royal family descendant of Warring States period, said that is also a status. 而到了更后面,直觉主义就越发弱势了,几乎就是个弟弟。这就好比是战国时代的周王室后裔,说出去吧,也算是个身份。 However when that side Bourbaki School must exert second plays „King Qin to sweep six directions fiercely, looked with fierce and covetous eyes what hero”, who also cared about you trivial „week royal family descendant” to come? 但是那边的布尔巴基学派都要奋二世之余烈玩“秦王扫六合,虎视何雄哉”了,谁还在乎你区区“周王室后裔”来着？ By that time, formalism and intuitionism , can only carry out the application. 到了那个时候,形式主义和直觉主义,也就只能搞搞应用了。 „Mathematical foundation” this type related to the nine tripods orthodox struggle, they did not mix. “数学根基”这种涉及九鼎的正统之争,他们掺和不了。 This is also king Qi the reason that leaves to draw back from the song courtyard faction. The song courtyard sends the inheritance to be ordered, even initially what outside is really willing to his certain jurisdiction, he to have no way to reverse the song courtyard to send that atmosphere, makes a round trip to carve Bourbaki School the achievement. 这也是王崎从歌庭派抽身而退的原因。歌庭派传承有序,就算当初何外尔真的愿意给他一定的权限,他也没法扭转歌庭派那种风气,来复刻布尔巴基学派的成就的。 Even calculates Lord no longer, what outside, Ai Ruoche, is quite powerful arithmetic. 就算算主不再,何外尔,艾若澈,都是相当强大的算学家。 He has no way to establish oneself influence all of a sudden. 他没法一下子就建立起自己的影响力来。 However, said no matter how, Bourbaki School, according to the minute/share of law of this world, was to the school of thought. 但是,不管怎么说,布尔巴基学派,按照这个世界的分法,都算是离宗学派了。 He has not thought decisively, „theory of types” this typical even/including sect achievement, will be born, in a base sends in the member hand. 他是断然没想到,“类型论”这个典型的连宗成就,会诞生在一个基派成员手里。 Especially this member or his wife. 尤其是这个成员还是他老婆。 „World outlook must be challenged......” king Qi to cover own head: „Mother, mother......” “世界观都要受到挑战了啊……”王崎捂住自己的脑袋:“妈耶,妈耶……” Zhao Qingtan also stiffened: „This is how possible......” 赵清潭也是僵住了:“这怎么可能……” „How yes...... is this possible?” “是啊……这怎么可能？” Zhao Qingtan stares, is startled: „, To calculate a Mr.'s manuscript, can one to the disciple, wash continually the sect disciple? Such dangerous?” 赵清潭一愣,惊到:“难道说,算君的一本书稿,就能将一个离宗弟子,洗成连宗弟子？这么危险？” „This...... good, was actually liked the application coming...... perhaps her by fine her in childhood is being among us most does not care to the sect continually sect dividing line person.” king Qi said. “这个……好吧,由嘉她小时候其实更喜欢应用方向来着……说不定她是我们当中最不在乎离宗连宗分野的人。”王崎这么说道。 Zhao Qingtan actually does not dare to look at that to calculate Monarch manuscript. He directly asked king Qi: „What did Junior Sister find out?” 赵清潭却是不敢看那算君书稿了。他直接问王崎:“师妹到底想出了什么？” king Qi stares. 王崎一愣。 .................................................................................... ………………………………………………………………………… In the heavenly palace, the Crain shade loosened itself to grasp the arm of Sky Sword. 天宫之内,柯兰荫松开了自己握着天剑的手臂。 He discovered that behind oneself is the cold sweat. 他发现自己背后已经全是冷汗了。 „Really is scary......” “真是吓人啊……” He is very difficult to describe that a moment ago that flash, what mutation king Qi the whole had. He thought that king Qi the aura suddenly becomes like the bomb, probably the collapse will be momentarily ordinary. 他很难形容刚才那一瞬间,王崎整体发生了什么样的异变。他觉得王崎的气息突然之间变得像个炸弹一样,好像随时都会崩溃一般。 At that time, he almost thinks that was dragon sovereign predicts the outbreak. king Qi must be finished. 那个时候,他几乎以为是龙皇预言发作了。王崎就要完蛋了。 But the supernatural power of his heavenly body monster spirit progression, will give this big day area staying behind indelible influence. 而他天体妖灵级数的法力,也会给这个大日疆域留下难以磨灭的影响。 But luckily, this feeling, only then flickers. 但幸好,这种感觉只有一瞬。 However, the Crain shade actually felt frightened. 但是,柯兰荫却还是感觉到一丝惊惶。 „This work cannot make my old man do...... is really, I fell behind many years......” Yun Zhongjun's helpless self-ridiculing to say. “这种活儿不能让我一个老头子来干吧……真是,我都落伍多少年了……”云中君无奈的自嘲道。 Should hit an application, making them send 1-2 to ramble...... 应该给打个申请,让他们多派1-2逍遥过来的…… Should better also probably be a that powerful point, otherwise also really does this younger generation. 最好还得是那种强力一点的,不然还真干不过这个晚辈。 .............................................................................. …………………………………………………………………… In the Earth history, „theory of types” is used to break through the attempt of Goodall incomplete theorem. In fact, its many also succeeded a point. The Goodall's first incomplete, second is incomplete is broken through one after another. 在地球历史上,“类型论”是用来突破哥德尔不完备定理的尝试。实际上,它多少也成功了一点。哥德尔第一不完备、第二不完备都被接连突破。 Just, this is also only „shallow layer”. 只不过,这也只是“浅层”而已。 The Goodall incomplete theorem, has not been broken through completely. 哥德尔不完备定理,至今没有被完整的突破过。 The intuitionism is always regarded as the constructivity activity of human brain „math”. 直觉主义一向是将“数学”看做是人类智慧的构造性活动的。 In the computer the developed time, the researcher of intuitionism, proposed a brand-new slogan day by day. 在计算机日益发达的时代,直觉主义的研究者,就提出了一个全新的口号。 „Definition constructs, the structure showed, the proof is procedure/program”. “定义即构造,构造即证明,证明即程序”。 They planned computation machine that borrows the form person to develop, proves own mathematical theory. 他们打算借用形式主义者开发出的计算机器,来证明自己的数学理论。 Studies a type rank the mathematical entity, needs compared with this type equally or the higher metamathematics. 研究一个类型级别的数学实体,就需要比这个类型相等或者更高的元数学。 Therefore the research related to the infinite ultra poor mathematical entity, became needed the infinite ultra poor metamathematics. 所以研究涉及无穷超穷的数学实体,就成了需要无穷超穷的元数学。 But the intuitionism did not acknowledge „infinite entity” exists. 而直觉主义是不承认“无限的实体”存在的。 It seems the physical world not to have one „infinite entity” to be the same. 就好像物理世界不存在一个“无限实体”一样。 The severest type system, has not circulated and referred. 最最严苛的类型系统,是没有循环和自指的。 Therefore, this system, even related to „infinite” issue, because will not cause the infinite logic to wind, therefore can still the engine off. 因而,这个系统,即使是涉及到“无限”的问题,因为并不会造成无限的逻辑回环,所以仍旧可以停机。 Because of the type system of strong standardization, has the poor end, is all functions can the engine off also give the only result. 因为强规范化的类型系统,都是有穷终结的,也就是一切函数都可以停机并且给出唯一结果。 Does not exist refers to and spirits in the infinite loop these two halting problems. 不存在自我指涉与无限循环这两个停机问题上的幽灵。 This was under sacrificing Turing's complete premise, to the use of halting problem. 这是在牺牲图灵完备的前提下,对停机问题的一次利用。 In other words, „theory of types” is the foundation world of mathematics achievement. 也就是说,“类型论”是基础数学领域的成就。 But derived, is an absolute reliable machine language. 而由此衍生的,就是一种绝对可靠的计算机语言。 Or „a kind”. 或者说“一类”。 Also is „strong type” language. 也就是“强类型”语言。 Because is „severest” system, therefore the degree of freedom of strong type language is very low. Especially in which „strong standard type”, because sacrificed Turing to be complete, therefore this language is easy to have contradiction logically. Will a little produce the direct engine off wrongly. 由于是“最严苛”的系统,所以强类型语言的自由度真的很低。尤其是其中的“强规范类型”,由于牺牲了图灵完备,所以这种语言非常容易发生逻辑上的矛盾。有一点错误就会产生直接停机。 However the advantage is, this type of language, will never make a mistake. 不过好处就是,这种类型的语言,永不出错。 May say, you had heard can be known as „will never make a mistake” language? 可说真的,你听说过可以号称“永不出错”的语言吗？ Your indos not blue screen? Hasn't your Android halted? 你的indos没有蓝过屏？你的安卓没有死过机？ That is actually because, the strong standard type, really common everyone does not play. 那却是因为,强规范类型,真的不是一般人人玩的。 It is for this reason that the strong standard type language, has not spread in the code agriculture. Wants with the very powerful standard type, must under the back and calculates the type of a big pile of indicator and parameter. Only then to, the procedure/program will revolve completely. Has even if to not on, direct engine off. 正是因为如此,强规范类型语言,并没有在码农之中流传开去。想要用好强规范类型,就必须背下和推算一大堆指针和参数的类型。只有完全对得上,程序才会运转。有哪怕一点对不上的,就会直接停机。 This sacrificed „Turing was complete” the malignant consequence. 这就是牺牲了“图灵完备”的恶性后果了。 Jokes aside, this also tests the level. It can be said that Turing is complete, enabling some average people also to participate in „programming” during this work. When „Turing is complete” was sacrificed, to programming the intelligence quotient request enhances. 说真的,这也蛮考验水平的。可以说,图灵完备,使得一些普通人也能参与到“编程”这个工作之中。而当“图灵完备”被牺牲的时候,对编程的智商要求就提高了。 But on the other hand, the talent of high intelligence quotient, will usually like creating a point freely, impatient back so many things. 但另一方面,高智商的人才,通常会更喜欢自由创作一点,也不耐烦背那么多东西了。 This is also the industry abandons this kind of language reason kind of language unable by the inexpensive programmer to be grasped. 这也是业界抛弃这类语言的原因这类语言不能被廉价程序员掌握。 However, because its unaccurate, therefore the aerospace enterprise also has to use it. 不过,正是由于它稳定可靠,所以航空航天事业也有使用它。 After all, this thing, if halts, that was over a hundred million Yuan throws away carelessly. 毕竟,这东西要是死机,那就是上亿元打水漂了。 If from the viewpoint of theory of types, then...... king Qi the beforehand all phenomena on earth trigram article, should be...... the no type language. 如果从类型论的观点来看的话,那么……王崎之前的万象卦文,应该算是……无类型语言。 The degree of freedom of no type language is high, can the collar height and other math of the computational processes realize in the physics directly on the airplane, and is close to the human the way of thinking. 无类型语言的自由度高,可以领高等数学的计算过程直接在物理机上实现,且更接近人类的思维习惯。 Is close to the Earth theory of types being born the beforehand these higher order languages, being „type is unsafe” category. 或者更接近地球类型论诞生之前的那些高级语言,属于“类型不安全”的范畴。 Even can say, all phenomena on earth trigram article also has „does not have type” and „type is unsafe” the label. 甚至可以说,万象卦文同时具有“无类型”和“类型不安全”的标签。 The freedom was free, but relative, this thing also same was not very easy-to-use. 自由是自由了,但是相对的,这东西也一样不是很好用。 If really occurrence compile error, then the computer may output the unforeseen result very much, rather than direct engine off. 如果真的发生了编译错误,那么计算机就很有可能输出无法预料的结果,而非直接停机。 This means, the code agriculture must understand what own code is anything, even needs to use own doing mental arithmetic ability, for the thing error correction of oneself code. 这就意味着,码农必须非常了解自己码的是什么,甚至需要利用自己的心算能力,为自己码的东西纠错。 This ability requirement to programmer, is very high. 这对程序员的能力要求,也很高。 Just, in this world, so long as minors in the trigram to calculate surely passes through and so on ten thousand law family merit laws, can solve this problem. 只不过吧,在这个世界,只要兼修一下爻定算经之类万法门功法,就可以解决这个问题了。 In other words, everyone so many years, had not actually minded work as flesh error correction. 也就是说,大家这么多年了,其实也没介意当个人肉纠错器。 This is approximate condition of this theory on Earth. 这是这个理论在地球上的大致状况。 But in this world, the situation was a little strange. 而在这个世界,情况就有点诡异了。 Chen by fine, with the aid of divine land now to the east wind of sect continually sect controversy, from calculating Mr.'s beast mechanism/organization colony algorithm, the jet braking has this together theory. 陈由嘉,是借助神州现在离宗连宗论战的东风,从算君的兽机关集群算法之中,反推出这一道理论的。 Moreover, from formal linguistics obtained the inspiration. 而且,还是从形式语言学上的得到了灵感。 The formal linguistics can be of computer science parallel development. 形式语言学可以算是计算机科学平行发展的一支。 However, this process...... 但是,这个过程…… Also truly...... 也确实…… Was full of the style of this universe history of science. 充满了这个宇宙技术史的风格。 Talent home station address:. 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