king Qishen the pen, uses the sword. 王崎伸笔,出剑。 don't really really thought that this simply is the strange its technique. Does a pen project together the sword air/Qi? Actually does this how accomplish? 莫真真觉得这简直就是神乎其技。一支笔射出一道剑气？这究竟是怎么办到的？ The laymen watch the fun, the expert looks at the way. In the don't really real eye, king Qi punctured the pure sword air/Qi with the pen is the astonishing action, but two people actually saw a deeper scene. 外行看热闹,内行看门道。在莫真真眼里,王崎用笔刺出精纯剑气就是惊人之举了,但是有两个人却看到了更深的景象。 Sees this sword time, Liu Yunxiang at present one bright. 看到这一剑的时候,刘云祥眼前一亮。 What kind of sword this is. Obviously is simplest even to stab, but, but makes people think so complicated, so...... profound! 这是怎样的一剑啊。明明就是最简单的平刺,但是,但是又让人觉得如此繁复,如此……高深！ This sword seems the access method from the theory of numbers, but the theory of numbers spreads out martial learn/study who extend to pursue Jane/simple, the dislike changes, this sword is clearly restraining the infinite change. This change along with many not numerous is not chaotic, but is elaborating the simplest truth. 这一剑仿佛是取法自数论的,但是数论衍伸的武学都追求极简,厌恶变化,这一剑则分明收敛着无穷的变化。这变化随多却不繁不乱,而是阐述着最简单的真理。 Like 1 + 1 = 2,1 + 2 = 3...... 就像1+1=2,1+2=3…… This sword, is „proof”, is in the arithmetic „establishment”! 这一剑,是“证明”,是算学上的“成立”！ The same matter, different people have different views, different people have different views. Facing a same sword, Liu Yunxiang sees „establishment”, but Chen wind sees „intention”. 同一件事,仁者见仁,智者见智。面对同样的一剑,刘云祥见“成立”,而辰风则见“心意”。 In Chen eye of wind, this sword radiance is radiant, clearly is condensation of sword complete mental effort, is enchanting will of the people most radiant side. 在辰风眼中,这一剑光华璀璨,分明就是出剑者全部心力的凝聚,是妖娆人心最最璀璨的一面。 „Is his self-satisfied achievement? Ponders the joy of later testimony main road after long time?” Chen wind understood quickly. king Qi this was puts into during the ponder the complete spirit, then now obtains the result. “这是他得意的成果？经过长时间思考之后见证大道的喜悦？”辰风很快就明白了过来。王崎这是将全副精神投入到了思考之中,然后现在才得到了结果。 Huangfu Lian and pear moon/month did not have Chen wind such experience. They are only felt like that king Qi this sword is not simple, oneself somewhat cannot understand unexpectedly 皇甫涟和梨月就没有辰风这样的见识了。他们只是隐约觉得王崎这一剑并不简单,自己居然有些看不懂 But this is deferential to seniors moon/month to be in an uncontrollable rage. 但这让梨月更加怒不可遏。 This boy, was not plays the sword, withstood/top the day also to grasp a high-quality sword to incur. He dares...... to dare...... 这个小子,不就是耍得了剑吗,顶了天也就掌握了一记高级一些的剑招。他竟敢……竟敢…… „Snort.” Entrance door disciple cold snort/hum that this builds the base period, the Double Ninth Festival poem makes together the sword air/Qi. “哼。”这位筑基期的外门弟子冷哼一身,重阳诗打出一道剑气。 Two sword air/Qi bump into, then more inconceivable matter happened. The pear moon/month takes building the base cultivates for the sword air/Qi and king of Zaki's stimulation sword air/Qi touches, unexpectedly disintegrates! 两道剑气相撞,然后更加不可思议的事情发生了。梨月以筑基修为激发的剑气与王崎的剑气一触,居然土崩瓦解！ This is not the strength strong and weak reason. This seems the wooden club to break out the mercury to be the same, is not because the wooden club is heavier than the accurate sound, purely is because the wooden club is the solid, but the mercury is the liquid. 这并非是力量强弱的原因。这就好像木棍劈开水银一样,不是因为木棍比准音更加沉重,纯粹是因为木棍是固体而水银是液体。 This is under essential high! 这是本质的高下！ The pear moon/month has not expected itself unable to stand off king Qi unexpectedly strikes at will. However, she does not have the truth that therefore flinches, because her also just strikes at will, cannot explain anything. She raises the hand, prepares the actual combat to kill to incur truly. 梨月也没有料到自己居然会敌不过王崎的随意一击。但是,她没有因此而退缩的道理,因为她那也只不过是随意一击,并不能说明什么。她扬起手,准备实战真正杀招。 But at this time, Chen wind blocked him. The vision of this Yang Shenge true line has penetrated king Qi the mortal body, meets its soul. In his eyes, king Qi soul this is experiencing an intense reorganization. The change of this soul will involve the supernatural power inevitably, making king Qi reach the first-level stair directly. 但这时,辰风拦住了他。这位阳神阁真传的目光已经穿透王崎的肉身,照见其魂魄。在他眼中,王崎的魂魄这在经历一场激烈的重组。这场魂魄的变动势必会牵扯到法力,让王崎直接登上一级台阶。 At this time, king Qi cannot be disturbed. 这个时候,王崎不能被打扰。 However Chen wind looked at one to discover, here as if only then can without affecting extinguished this to strike to king Zaki, therefore he is sighing at heart „unlucky”, put out a hand to block under the preparation the pear moon/month of heavy hand. 但是辰风看了一圈才发现,这里似乎只有自己才能在不影响到王崎的前提下消弭这一击,所以他在心里叹息一声“倒霉”,就伸手拦住了准备下重手的梨月。 Then, a strange strength from Chen wind internal radiation. This is the strength of pure soul, is the soul „field”. ; In this field, the world spiritual energy rearrangement, becomes heavy/thick firm. 然后,一股奇异的力量从辰风体内辐射出来。这是纯粹的魂魄之力,是魂魄的“场”。;在这个场中,天地灵气重新排列,变得厚重坚固。 However, the sword air/Qi with this „soul strength shield wall” touches, Chen wind discovered oneself underestimated king Qi. 然而,剑气与这道“魂力盾墙”相触的时候,辰风才发现自己小看了王崎。 His shield wall is like the sword air/Qi of pear moon/month, regards to disintegrate! 他的盾墙和梨月的剑气一样,当成土崩瓦解！ Adjusts the governing world spiritual energy to support this shield wall, is Chen wind the strength of soul. In other words, the spirit knowledge of Chen wind combines with this shield wall. The sword air/Qi and shield wall collide time, the spirit knowledge complete observation of Chen wind this sword air/Qi. 调御天地灵气支撑这个盾墙的,是辰风的魂魄之力。也就是说,辰风的灵识与这面盾墙是合二为一的。剑气与盾墙碰撞的时候,辰风的灵识完整的观察到了这道剑气。 This truly is the foundation results in cannot again the sword potential of foundation, but, this sword air/Qi is actually „not contradiction”, all supernatural powers that inside contains changed to the prestige energy of killing the enemy, no duty-bound consumes! Even so, this internal friction also falls the situation that Chen wind is unable to detect! 这确实是基础得不能再基础的剑势,但是,这道剑气却是“无矛盾”的,里面蕴含的所有法力都化作了杀敌的威能,没有一分内耗掉！即使有,这种内耗也降到了辰风无法察觉的地步！ This is a very dreadful matter, because like not studious inevitable, the internal friction is also inevitable, but king Qi cut the perfect sword! 这是一个非常可怕的事情,因为就像无用功不可避免一样,内耗也是不可避免的,但是王崎就生生斩出了完美一剑！ Since the spiritual energy shield wall is not good, that...... 既然灵气盾墙不行,那么…… Pair of eyes radiance of Chen wind does in a big way suddenly. 辰风的双眼突然光华大作。 The eye is the distance brain recent sense organ , is the brain connects closely, the nerve most crowded part, regarding Yang Shenge the disciple, this compared with the thing of both hands easier-to-use uses/gives technique. 眼睛是距离大脑最近的感觉器官,也是和大脑连接得最紧密、神经最密集的部分,对于阳神阁的弟子来说,这就是比双手更好用的施术之物。 A white silk thread emerges out of thin air, twines above the sword air/Qi, then twists gently. „Bang”, the white silk thread meets the hot oil sparks/Mars to be common probably, the vertical sword changes to one group of white flame. The flame of life absorbed this sword air/Qi „foreword”, therefore, this sword air/Qi cannot maintain, collapsed the powder. 一根白色的丝线凭空出现,缠绕在剑气之上,然后轻轻一绞。“嘭”的一声,白色丝线像是遇到热油的火星一般,竖剑化作一团白炎。命之炎吸取了这道剑气的“序”,于是,这道剑气维持不住,自行崩散了。 At this moment, king Qi sat. His paper flies in abundance to the desktop, according to the order folds puts away. Then, king Qi starts to write with vigor. 就在这时,王崎坐了回去。他身边的纸张纷纷飞向桌面,按顺序叠放好。接着,王崎开始奋笔疾书。 The fluctuation of spiritual energy instantaneously several times. This is the omen of broken boundary. 灵气的波动瞬间强了好几倍。这是破境的前兆。 --------- --------- Regarding the average person, 1 + 1 is equal to 2, does not have any special reason, does not need the reason. This is because they understand this system with the intuition. What the mathematicians pursue is defines it with the method of logic, pondered why 1 + 1 must be equal to 2. 对于普通人来说,1+1就是等于二,没有什么特殊的理由,也不需要理由。这是因为他们只是凭直觉来理解这个系统。数学家追求的是用逻辑的方法来定义它,思考1+1为什么要等于二。 But the mathematician is used to study this issue the tool, is the Peano axioms. 而数学家用来研究这个问题的工具,就是皮亚诺公理。 The foundations of all geometries in Euclid axiom. Euclid axiom was the same like four big fundamental forces, supports the entire how much. 一切几何的基础都在欧几里得公理之内。欧几里得公理就如同四大基本力一样,支撑起了整个几何。 But the arithmetic system also has similar thing. The earthmen call it „the Peano axioms”. The Peano axioms the entire arithmetic conclusion are systems that has five axioms, these five axioms supported the entire arithmetic system. 而算术体系也有类似的东西。地球人称之为“皮亚诺公理”。皮亚诺公理将整个算术归结为一个有五条公理的系统,这五条公理支撑起了整个算术体系。 Then, is this axiomatics perfect? Strict self consistent method? Not contradictory? 那么,这个公理体系完美吗？严格的自洽吗？无矛盾吗？ The answers of these issues form the question mark. The third mathematical crisis is the issue of set theory, is the part of foundation is the disaster area of crisis. This is in the Hilbert 23 issues second asked: The consistency of arithmetic axiom-system- whether the consistency of Euclidean gometry does sum up as the consistency of arithmetic axiom? 这些问题的答案都是打问号的。第三次数学危机是集合论的问题,越是基础的部分就越是危机的重灾区。这就是希尔伯特二十三个问题中的第二问:算术公理系统的无矛盾性-欧氏几何的无矛盾性可否归结为算术公理的无矛盾性？ Hilbert hopes that showed with the proof theory method of formalism plan, Von Neumann also followed this angle to do. 希尔伯特本人希望用形式主义计划的证明论方法加以证明,冯诺依曼也也顺着这个角度做了下去。 king Qi planned then walks following Von Neumann's path. 王崎则是打算顺着冯诺依曼的路子接着走下去。 The arithmetic system entire deduction and reorganization is a big hole, but if only does to remove the contradictory proof to its under some subsystem, that was then simple. 算术系统整个的推演、整理是一个大坑,但是如果只对其下面某一个子系统作排除矛盾的证明,那便简单了许多。 Naturally, this is also relatively speaking. Has the qualifications to participate in the Hilbert's program, first-class mathematician. But under king Qi has not carried this paper, he only knows the conclusion and approximate mentality. 当然,这也是相对而言的。有资格参与希尔伯特计划的,只有第一流的数学家。而王崎并没有背下这一篇论文,他只知道结论和大致思路。 This is a difficult ponder. 这是一场艰难的思考。 The world broke in his eyes, the innumerable digitizations are the stars sea, glitters in him at present, is actually unattainable. 世界在他眼中破碎了,无数数字化为星辰大海,在他眼前闪烁,却又遥不可及。 The ponder is flowing of information, but this flowing disturbed the soul. 思考是信息的流动,而这场流动搅扰了魂魄。 In the middle of king Qi the soul also presented a galaxy, is constituted the Milky Way that by the digital and-operator. 王崎的魂魄当中也出现了一条星河,由数字与算符构成的天河。 Eliminates the general quantifier...... to introduce the general quantifier...... to eliminate the existential quantifier...... the introduction existential quantifier...... 消去全称量词……引入全称量词……消去存在量词……引入存在量词…… Each inference follows the fluctuation of this galaxy. 每一次推理都伴随这星河的一次涨落。 Then, the tide of supernatural power appeared together. 然后,一道法力的潮汐出现了。 king Qi ponders, computation time, would the revolution trigram calculating surely. The Yin-Yang trigram of supernatural power after hole hole, will conduct two values to judge time, completes the operation of binary system. This also follows the trigram calculates after surely the good merit route vast soup vanguard with the supernatural power tide that the soul presents. 王崎思考、计算的时候,总会运转爻定算经。法力经过穴窍之中的阴阳爻,就会进行一次二值判断,完成二进制的运算。这道随着魂魄而出现的法力潮汐也顺着爻定算经的行功路线浩浩汤汤的前行。 Whenever this tide breaks a hole hole, circles a circle in inside, new Yin-Yang trigram production. 每当这块潮汐冲开一个穴窍,在里面盘旋一匝,就有一个新的阴阳爻产生。 However, king Qi the deduction stagnated. 然而,王崎的推演停滞了。 He felt the obvious bottleneck. Conclusion in him on hand, but cannot say? 他感觉到了明显的瓶颈。有一个结论就在他手边,可怎么就是说不出呢？ At this moment, the chaotic spirit strength transmits. king Qi felt sick he wants a sword to cut to extinguish the thing that this makes him be sick. 就在这时,纷乱的灵力传来。王崎感到一阵厌烦他想要一剑斩灭这个让他厌烦的东西。 A sword cuts to extinguish...... a sword to cut to extinguish...... a sword...... one...... 一剑斩灭……一剑斩灭……一剑……一…… king Qi thought of anything. 王崎想到了什么。 The inspiration, emerges like the mighty current. 灵感,如同洪流般涌现。 Also with has...... the strength that the inspiration arrives simultaneously! 与灵感同时来到的还有……力量！