„Is arithmetic...... incomplete?” After hearing these words, thin Xiaoya is the first response you special is teasing me? “算学……不完备？”听到这句话之后,薄筱雅的第一反应就是你特么在逗我？ Doesn't the arithmetic meet completely? 算学会不完备？ Is the arithmetic possibly incomplete? 算学怎么可能不完备？ The arithmetic must be complete! 算学必须是完备的！ Even if in the arithmetic concept and calculates that the Lord entirely different person, still agreed his „we will certainly know, we must know” famous saying. 即使是算学观念上与算主截然不同之人,也同意他那句“吾等必将知晓,吾等必须知晓”的名言。 Regarding calculating Lord and follower, the arithmetic must be complete, must has the uniformity. In the eyes of these member, the main body of arithmetic, is „form that” the operator combination becomes. Each through the statement that the operator composes, can conduct „correct” or „mistake” the determination, the correct statement can certainly show with another operator combination. Moreover, a statement, forever only then „correct” or „mistake” two judgments. Is impossible to exist so-called „not only correct and mistake” or „is not correct is not wrong” the situation. 对于算主及其追随者来说,算学必须是完备的,也必须是具有一致性。在这些修士的眼中,算学的本体,是算符组合而成的“形式”。每一个通过算符组成的陈述,都可以进行“正确”或者“错误”的判定,正确的陈述一定可以用另一种算符组合加以证明。另外,一个陈述,永远只有“正确”或“错误”两种判断。不可能存在所谓的“既正确又错误”或者“不正确也不错误”的情况。 The completeness, the uniformity, the decidability, is Lord, foundation that and song courtyard sends the faith. 完备性,一致性,可判定性,就是算主,以及歌庭派信念的根基。 But to common arithmetic, part, although inevitably, but their direct-viewing thought so that the arithmetic is certainly complete. 而对于一般的算学家来说,这一部分虽然必然的,但是他们直观的就这么觉得算学一定是完备的。 These investigate thoroughly the member of rule of material circulation the innumerable astonished discoveries, they when are thinking some domain launches the attack, the calculation families/home of ten thousand methods have arranged for them „asked” the formula of arithmetic. From the earliest elementary force sect, to the normalizing pledge, until now indistinct palace, these through the school of real diagnosis inquisition world, has been providing more and more formulas to ten thousand methods from the world the exquisite formula of myriad things and nature. These formulas returned nurturing to parents the development of arithmetic. 那些穷究物质流转之规律的修士已经无数次惊异的发现,他们在想着某一个个领域发起进攻的时候,万法门的算家们早就为他们备好了“求道之器”算学的公式。从最早的元力宗,到归一盟,再到如今的缥缈宫,这些通过实证探究天地的门派,一直在向万法门提供越来越多的公式源自天地万物、道法自然的精妙公式。这些公式反哺了算学的发展。 It looks like in the member of ten thousand methods. All between universes, all respectful along the regular movement of arithmetic. 在万法门的修士看来。宇宙间的一切,无不毕恭毕敬的沿着算学的规律运动。 You said that the arithmetic is incomplete, was saying, this world has incomplete, does this Heavenly Dao have the issue? 你说算学不完备,也就是在说,这个天地有残缺,这个天道有问题咯？ thin Xiaofeng younger sister is steadier. He holds down Su Jun yu shoulder. Crossed to be mad together: „Su Jun yu, the stable mind, guarded that the heart demon multiplies......” 薄笑风比自己妹妹更加稳重一些。他按住苏君宇的肩膀。渡过一道内气去:“苏君宇,稳固心神,谨防心魔滋生……” Another side, Yang Shenge a grandmaster could not sit still, runs over to ask: „Needs to help?” 另外一边,一个阳神阁的宗师坐不住了,跑过来问道:“需要帮忙吗？” Su Jun yu smiles, wields thin Xiaofeng the hand, to a that bit god grandmaster ritual. Said: „Disciple is very good. Exhausted this teacher's younger brother.” 苏君宇笑了笑,挥开薄笑风的手,对着那位元神宗师一礼。道:“弟子很好。劳烦这位师叔了。” After all walks that Yang Shenge member, Su Jun yu vision brilliant, said: „I not insane, I am elaborating a possibility.” 在将那位阳神阁的修士全走之后,苏君宇目光灼灼,道:“我没疯,我只是在阐述一个可能性而已。” „Possibility? Do you manage this named ‚possibility’?” thin Xiaofeng knits the brows: „Were you insane? Does this have the possibility?” “可能性？你管这个叫做‘可能性’？”薄笑风皱眉:“你疯了？这有可能？” „Before the completeness was proven, no one can deny this possibility.” Su Jun yu earnest saying: „We do not know from beginning to end......” “在完备性被证明之前,谁也不能否认这种可能性。”苏君宇认真的说道:“我们至始至终都不知道……” „This letter/believed to the result of sect.” Frowning of the Somalian colorful rainbow detests: „This purely is...... is......” “这就是信了离宗的结果啊。”索文虹嫌恶的皱起眉头:“这纯粹就是……就是……” Regarding even/including sect the disciple, something are obvious, cannot can be denied. 对于连宗弟子来说,有些东西就是不言自明的,容不得否认。 Regarding to sect Dizi. Some things are inevitable, but had not been shown, cannot deny. 对于离宗弟子来说。有些东西是必然的,只是还没有被证明,不可以否认。 Only has in this point, to the viewpoint of sect Helian sect continuously. 唯有这一点上,离宗和连宗的观点一直。 Qinchuan and also frowns: „Proof?” 秦川和也皱起眉头:“证明呢？” Su Jun yu shrugs: „Temporarily, but also no.” 苏君宇耸耸肩:“暂时,还没有。” „Also no, you dare to speak this words......” “还没有,你就敢说这种话……” „It is not formal occasion Su Jun yu does not matter in any case”. “反正也不是什么正式场合”苏君宇无所谓。 thin Xiaofeng is curious: „Su Jun yu, what mentality are you?” 薄笑风则是好奇:“苏君宇,你到底是个什么思路？” „I am thinking, this learn/study, definitely to make the upholstery or the cushion to the new theory. But, we learn/study now. Is some ‚axiomization’ or ‚axiom-system completeness proof’. These things, did not say for 100-200 years ago, several years ago , had breaks through newly. This cannot call what subversive thing absolutely.” Su Jun yu said slowly: „Thing that since we are studying, is not that subversive content, that certainly is prerequisite of that subversive content, or can counter-balance that subversive content shocking thing.” “我在想,这次学习,肯定就是为了对新理论做铺垫或者缓冲。可是,我们现在学习的。都是一些‘公理化’或者‘公理系统完备性证明’。这些东西,不说100-200年前吧,就好几年前,就又有新的突破了。这绝对称不上什么颠覆性的东西。”苏君宇缓缓道:“既然我们正在学习的东西,不是那颠覆性的内容本身,那就一定是那颠覆性内容的前置,或者说可以抵消那个颠覆性内容冲击性的东西。” thin Xiaofeng nods. Expressed that Su Jun yu these words saying in the principle. 薄笑风点点头。表示苏君宇这一段话说得在理。 „The thing that since that subversive theory, studied certainly with us for these days is related, then pondered from the thing of these days study, was quite simple.” “既然那个颠覆性的理论,一定和我们这几天所学的东西有关的话,那么从我们这几天学的东西出发思考,就比较简单了。” „However you notice not to have, the thing that we study has characteristics they are ‚some thought’ the product, for ’ the law of being opportunistic to bypass ‚ some together tall wall making.” “而你们注意到没有,我们所学的东西有个特点它们都是‘某一个思想’的产物,都是为了绕过‘某一道高墙’所做的取巧之法。” thin Xiaoya responds immediately: „king Qi Senior Brother seven years ago had said the mentality...... this is opportunistic, for...... to bypass multi-stage logic complete proof!” 薄筱雅立刻就反应过来了:“王崎师兄七年之前说过的思路……这个取巧为为了……为了绕过多阶逻辑完备性的证明！” Also is this king Qi...... 又是这个王崎…… Qinchuan and brow unconscious wrinkle: The thing that „we study bypasses multi-stage logic completeness proof the law of being opportunistic, therefore you guessed that the arithmetic is incomplete? How you did not say that was the completeness was proven?” 秦川和的眉头不自觉的皱起:“我们所学的东西是绕过多阶逻辑完备性证明的取巧之法,所以你就猜测算学不完备？你怎么不说是完备性得到了证明？” „If the completeness were proven, that these things are not meaningful!” Su Jun yu refuted: „Moreover the arithmetic is complete, is not contradictory with our anybody's direct feel! That is not considered as that ‚subversion’!” “如果完备性得到了证明的话,那这些东西都没有任何意义！”苏君宇反驳道:“而且算学完备,和我们任何人的直观感受都不矛盾！那就不算是‘颠覆’了！” The Somalian colorful rainbow shakes the head: „Impervious” 索文虹摇了摇头:“不可理喻” Qinchuan and exclaimed lowly: „Proof! This idea, you must give the proof!” 秦川和则低吼道:“证明！这个想法,你必须给出证明！” This talked finally, almost all people brought to leave resentfully. But Su Jun yu brow deeply wrinkles again. 这场谈话到最后,几乎所有人都是带着愤懑离开的。而苏君宇的眉头则再一次深深皱起。 Yes...... the proof, must give the proof...... 是啊……证明,必须给出证明…… But, king Qi, your boy, if really made the so extraordinary achievement, how you do prove? 可是,王崎,你小子如果真的做出了如此了不得的成就,那你是如何证明的？ Su Jun yu felt that for the first time somewhat lacks the ability to do what one would like. He pondered that „is incomplete” this single layer truth. During because was written down that by king Qi „even the simplest number, has meaning that transcends the human thinking” the inspiration of truth. Must make him find out the proof method independently...... 苏君宇第一次感觉到有些力不从心。他思考出“不完备”这一重道理。还是因为受王崎笔记当中那“即使是最简单的数字,都有超越人类思维的含义”道理的启发。要让他独立想出证明方法…… Due to the reason of cognition, Su Jun yu had not realized, king Qi and Feng Luoyi, have given him the key suggestion of this certificate. 由于认知的原因,苏君宇并没有意识到,王崎和冯落衣,早就将这个证明的关键暗示给他了。 „Silver wing assassin”, „refers to”. “银翼刺客”,“自指”。 Finally, Su Jun yu is also the deep sigh. 最终,苏君宇也是深深叹息。 I could not catch up with the mentality of that boy unexpectedly. 靠,我居然追不上那小子的思路了。 .................................................................................................................................... …………………………………………………………………………………………………………………… In the middle of ten thousand immortal illusion, Feng Luoyi, if the clear fairy maiden entire journey surrounded this. 万仙幻境当中,冯落衣和若澈仙子全程围观了这一幕。 If in the clear fairy maiden tone has a ridicule, nine points of bitterness and astringency: „It seems like, you and king Zaki's pains wasted. No one realized that clam play is solves this riddle topic the key...... to refer to together, refers to...... hehe.” 若澈仙子语气之中带着一份讥讽,九分苦涩:“看起来,你和王崎的苦心白费了啊。没有一个人意识到,那一出蜃戏才是解出这一道谜题的关键……自指,自指……呵呵呵。” Feng Luoyi is calm: „Eventually is a good phenomenon.” 冯落衣语气平静:“终究是个好现象。” If the clear fairy maiden said: „Then what to do? Can use a more undisguised prompt?” 若澈仙子道:“接下来怎么办？要不要使用更加露骨的提示？” Feng Luoyi shakes the head: „Temporarily does not need. What we are most important is the guidance, observes the transformations of these person of thinking processes.” He, then said: „Observes seven days again. If this suspicion had not been neglected the sign that and had forgotten, that makes the first group of Yuan god member join this training.” 冯落衣摇摇头:“暂时不必了。我们最重要的是引导,观察这些人思维过程的转变。”他顿了一下,然后道:“再观察七日。如果这个怀疑没有被忽视、遗忘的迹象,那就让第一批元神修士加入这一场集训。” If clear fairy maiden forced smile: „Looks that they have grasped the most essential key actually not to the gate enter obviously, I as if saw myself...... for several hundred years like headless fly, anything is not clear, bursts to proceed along no particular course, actually does not know treasure mountain in the side. ‚Refine the pill of immortality master paradox’, hehe, how ancient theory. Refers to...... refers to......” 若澈仙子苦笑:“看着他们一个个明明已经掌握了最关键的钥匙却不得门而入,我就仿佛看到了自身……几百年来就像个无头苍蝇似的,什么都不清楚,乱闯乱撞,却不知道宝山就在身边。‘炼丹师悖论’,呵呵,多么古老的理论啊。自指……自指……” Finally, a sigh that all feelings change to: „How haven't I thought?” 最终,所有的感慨都化作的一声叹息:“我怎么就没有想到呢？” „Average person pondered that this issue, will only fall into layer upon layer in the middle of the self- labyrinth, is hard to extricate oneself. However, a talent, he can cut broken numerous fabricated, sees most essence the thing.” Feng Luoyi is calm. “一般人思考这个问题,只会陷入层层自我的迷宫当中,难以自拔。但是,有一种天才,他就偏偏能够斩破重重虚妄,看到最内核的东西。”冯落衣语气平静。 Goodall incomplete theorem Wang the proof of not entire law, does not get it done in one action. It also needs to undergo the winding and difficult ponder. 哥德尔不完备定理王氏不全律的证明,并非是一蹴而就的。它同样需要经过曲折而艰难的思考。 „king is Qi that talent?” “王崎就是那个天才？” „He without a doubt is the talent.” Seeing if the clear fairy maiden interest is not high, Feng Luoyi changed a topic: „On the other hand, Greek gate Lord that side how?” “他毫无疑问是天才。”见若澈仙子兴致不高,冯落衣换了个话题:“话说回来,希门主那边怎么样了？” „Master that side......”, if clear fairy maiden forced smile: „Approximately was the knowledge sees to bond extremely fearfully. He has not realized the issue in this aspect. Moreover...... and......” “师父那一边……”若澈仙子苦笑:“大约是知见障太过可怕了吧。他根本就没有意识到这方面的问题。而且……而且……” Feng Luoyi knits the brows: „And what? What issue also has?” 冯落衣皱眉:“而且什么？还有什么问题？” „In fact, the song courtyard sent the interior also to present a thought.” If some clear fairy maiden shames in opens the mouth: „They said, the indication and proof of not entire law, were extremely arbitrary. ‚Arithmetic not entire’ this concept puts to the writing short four characters, but...... almost cannot express with the operator. They felt, so long as did not acknowledge incessantly this is the arithmetic, regarding as ‚word game’ in the heart, can...... be able to avoid a heart vacillating.” “实际上,歌庭派内部还出现了一种思想。”若澈仙子有些耻于开口:“他们说,不全律的表述、证明,都太过武断了。‘算学不全’这个概念付诸文字只有短短的四个字,但是用算符……几乎表达不出来。他们觉得,只要抵死不承认这是算学,在心中将之视作‘文字游戏’,就可以……就可以避免道心动摇。” „Hehe.” Feng Luoyi looks the color of ridicule: „Calculates that Monarch despises with this way our, now do we also want to despise others with this way?” “呵呵。”冯落衣面露讥讽之色:“算君就是用这种方式鄙视我们的,现在我们还要用这种方式去鄙视别人？” If the clear fairy maiden sighed: „But...... it truly is not the statement of arithmetic...... perhaps, this thought that can serve as to protect the teacher......” 若澈仙子感叹:“可是……它确实不是算学的陈述……或许,这个思想,可以用作保护老师……” Feng Luoyi is angry: „Do you want to make gate lord work as that no guts petty people?” 冯落衣愤怒道:“你想让希门主当那种无胆鼠辈吗？” If the clear fairy maiden sighed: „Not the entire law, the persuasive power is somewhat insufficient.” 若澈仙子叹道:“不全律,说服力还是有些不足。” .................................................................................................................. …………………………………………………………………………………………………… „It seems like, the persuasive power of incomplete law really has insufficient some......” “看起来,不完备定律的说服力确实是有一些不足啊……” This is the seventh time that king Qi was unsuccessful after the fine transmission spirit news to Chen, wants to come out. 这是王崎第七次给陈由嘉发送灵讯未果之后,所想出来的。 The Goodall incomplete law demonstrated the extraordinary value in the philosophy domain of Earth. The inobservable principle of it and quantum mechanics together, formed the foundation of new century human cognition concept. But relative, it the significance in math is not giant. It is the milestone of math, however the following domain actually rarely sees its shadow. 哥德尔不完备定律在地球的哲学领域展现出了非凡的价值。它和量子力学的不可测原理一道,构成了新世纪人类认知观念的基础。但相对的,它在数学上的意义就没有那么巨大了。它是数学的里程碑,但是后面的领域却很少看到它的影子。 Because, in the deviation actual person eyes, the Goodall incomplete law does not have the significance. But in the person eye of deviation theory, Goodall incomplete law insufficient math. 因为,在偏向实际的人眼中,哥德尔不完备定律毫无意义。而在偏向理论的人眼中,哥德尔不完备定律不够数学。 „I should add a fire again......” “我是不是应该再加一把火呢……” So long as I add a fire again, perhaps the teacher will slightly promote this theorem the resistance many...... not to need ten thousand methods to be detained that...... my plan by also to be able again quicker will carry out...... 只要我再加一把火的话,老师推动这定理的阻力兴许会小很多……由嘉也不用再万法门滞留那么就……我的计划也能够更快的推行…… king Qi the thoughts, change to this aspect gradually. 王崎的心思,渐渐就转到这方面来。 If must say the indisputable persuasive power...... 如果要说无可辩驳的说服力…… „I want, to solve the Greek gate 23 to ask did first ask?” “我要不要,解决掉希门二十三问的第一问呢？” king Qi knows exactly how to increase the persuasive power of oneself this theoretical system.( To be continued ~ ~) mobile phone user please visit http://m.piaotian.net 王崎恰好知道,如何增加自己这个理论体系的说服力。(未完待续~~)手机用户请访问http://m.piaotian.net