In a flash, the space undergoes for two years, already quickly by the end of the year. 转瞬之间,宇历二年,也已经快到年末了。 In this year, the disorders of ten thousand methods, had shocked the whole person clan. 这一年,万法门的乱象,已经震动了整个人族。 To sect Helian the sect, does not have like this frigidly has slaughtered. If bloody, it not necessarily compares favorably with medieval several such really to debate the truth by the life. However, the frigid degree, the influence, actually. 离宗和连宗,从没有这样惨烈的厮杀过。如果说血腥的话,它未必比得上中古数家那样真的以性命来辩真理。但是,惨烈程度,影响程度,却更甚。 This is not battles of two experts. This seems like both armies tangled warfare, had arrived at the final moment. Everyone mixes up, whom cannot branch out is. The weapon in each individual hand, may be own, may be seizes from opponent there. 这已经不是两个高手的厮杀了。这就好像是两军混战,已经到了最后关头。所有人都混在一起,根本分不出谁是谁。每个人手中的武器,有可能是自家的,也有可能是从对手那里夺来的。 To the person of sect, even/including sect the person, the flesh mixes in one, could not branch out each other appearance. 离宗的人,连宗的人,血肉混在一处,也分不出彼此的样子了。 However, the so chaotic war, did not still have not to enter affects in the crack summit island West. 但是,这般乱战,却没尚没有进入影响到远在西方的裂巅岛。 In Ai Dwelling, a center of the lake cabin, the road 2000 are depending on the column of alcove, eyes dull is looking at the above. 艾家宅院内,一处湖心小亭,路千千正靠在亭子的立柱上,双眼呆呆的望着上方。 Snow in big flakes that in the sky falls gently, unceasing pounds toward half dry pond. The silt and snowflake that have not done thoroughly mix. 天空中飘落的鹅毛大雪,正不断的往半干涸的池塘里砸。尚未干透的淤泥与雪花混合起来。 A scene of dry defeat. 一副枯败的景象。 Therefore the road 2000 do not like looking toward below very much. 所以路千千不是很喜欢朝下看的。 At this moment, suddenly some people patted her from the back: „!” 就在这时,突然有人从背后拍了她一下:“呀！” „!” The road 2000 send out a short scream, the figure proceeds to flee. “呀！”路千千发出一声短促尖叫,身形往前窜去。 Ai Changyuan must blame: „Even if the sensation does not arrive at my aura...... you still to know, in this family/home I will joke with you like this! How can't you remember?” 艾长元怪无奈的:“就算感知不到我的气息吧……你也该知道,这家里就我会这样跟你开玩笑吧！你怎么就记不住呢？” The road 2000 dig the mouth: „Knows me unable to remember, you also play this joke with me......” 路千千撅起嘴:“知道我记不住,你还跟我开这种玩笑……” „You should remember!” “你应该记住嘛！” „You should not like this! The long Yuan, you are big! It is not the child!” “你就不应该这样呀！长元,你多大啦！又不是小孩子！” „Man until death is a youngster!” “男人至死都是少年！” Ai Changyuan a tumbling, took a seat to go against the alcove. 艾长元一个翻滚,就坐到亭子顶上了。 The road 2000 have been familiar with Ai Changyuan this type not to press the approach that the repertoire plays a card. She is raising head, asks: „Now, what in the family/home is saying? You are run away? Doesn't have the issue?” 路千千已经习惯艾长元这种不按套路出牌的做法。她仰着头,问道:“现在,家里在说什么啊？你是偷跑出来的吧？没问题吗？” „, That group of idiots.” Ai Changyuan sighed: „Really, relates not to have with me.” “啊呸,那群白痴。”艾长元叹息:“真的,和我一点关系没有。” „Long Yuan long Yuan, what are uncle uncles discussing?” “长元长元,叔叔伯伯们到底在谈论什么啊？” Ai Changyuan sighed: „The things of ten thousand methods......” 艾长元叹息:“万法门的事情啦……” „Un?” “嗯？” „Always has the idiot to restore the ancestor honor!” Ai Changyuan sighed. “总有白痴想要恢复祖宗荣光嘛！”艾长元叹息。 In elementary force person, although is the founder of say/way of gifts of heaven circulation, but on the other hand, he effect on ten thousand methods is also enormous. 元力上人虽然是天物流转之道的奠基者,但在另一方面,他对万法门的影响也是极大的。 He is also generation of not two arithmetic......, although of peer does not leave the achievement in the arithmetic is not weaker than him. 他同时也是代不两出的算学家……嗯,虽说同辈的赖不离在算学上成就也不比他弱。 But must, in the elementary force person collateral branch descendant's Ai, in ten thousand methods, is quite powerful. 但总得来说,元力上人旁系后裔的艾家,在万法门,也是颇有势力的。 „Ten thousand methods...... and is the present civil strife related?” “万法门……和现在的内乱有关吗？” „Probably.” Ai Changyuan grins, in the tone filled disdaining: „In elementary force the person has ‚actual infinity is small’ the concept. Just, initially Wei two gentlemen 【Weierstrass】 Development clouding over -type time, abandoned infinitely great. But some idiots were still insisting. However now, Yoshimoto axiom, completely denies the foundation that the actual infinity slightly had. Therefore, always some idiots think!” “大概吧。”艾长元咧咧嘴,语气之中充满了不屑:“元力上人有‘实无穷小’的观念。只不过嘛,当初魏二先生【魏尔斯特拉斯】发展变天式的时候,就抛弃了实在无穷小。但还是有一些白痴还在坚持。但是现在呢,良基公理,彻底否定了实无穷小存在的根基。所以,总有一些白痴觉得不行啊！” Road 2000 strange say/way: „But, this and haven't you related?” 路千千奇道:“但是,这和你没关系吧？” „I, exactly understanding now of strongest calculation families/home.” Ai Changyuan „wants to spit” expression. “我呢,恰好认识现在最强的算家之一来着。”艾长元一副“想吐”的表情。 „You say king Qi?” The road 2000 were strangeer: „king Qi and common people national champion is the masters and disciples relates, but Yoshimoto gathers, is the common people national champion present achievement of?” “你是说王崎？”路千千更奇怪了:“王崎和苍生国手是师徒关系,而良基集合,是苍生国手现在的成就吧？” „Un, right?” Ai Changyuan nods: „Is this.” “嗯,没错啊？”艾长元点了点头:“就是这样。” „They hope that can rely on you and king Zaki's friendship, convinced king Qi to oppose the operation of common people national champion?” The road 2000 stare the big eye. “他们希望能够凭借你和王崎的交情,说服王崎去反对苍生国手的算理？”路千千瞪大眼睛。 „Although said that I and king Qi truly are the life-and-death friendship, but, they do not have to that degree stupidly.” Ai Changyuan sighed: „They use some personal connections, eavesdropped on that even/including sect a news, said king Qi the operation, can with have the original intention of big divergent old thing to the present operation finally, restores the actual infinity small place to stick an awl. Understood? They will not hesitate all means to interfere with Feng Luoyi. Using king Qi, is only a strategy.” “虽然说我和王崎确实是生死之交啦,但是,他们也没有傻到那种程度。”艾长元叹息:“他们利用一些人脉啦,探听到了连宗的一个消息,说王崎的算理,最终会与离宗现行算理产生巨大分歧老东西的本意呢,是恢复实无穷小的立锥之地。懂了吗？他们会不惜一切手段干涉冯落衣。利用王崎,也只是一个策略。” The road 2000 knit the brows: „Good...... underhanded.” 路千千皱眉:“好……下作哦。” „Yes, moreover is very silly.” Ai Changyuan looks at the East, sighed: „The present ten thousand methods, are not simple. All member have fallen into crazily...... are really the terrifying big time.” “是啊,而且很傻。”艾长元看着东方,叹息道:“现在的万法门,已经没那么简单了。所有修士都已经陷入了疯狂……真是恐怖的大时代啊。” „This matter, is not has to the arithmetic firmly to the member of heart of say/way, collects rashly, feared, not only will draw fire to oneself, becomes some side, even is the goal that both sides criticized, each achievement of past, will be carefully examined with the most nitpicking vision by the enemy, later every day, must live, in ‚set up a foundation was argued down’ in the fear.” “这种事情,不是对算学有坚定向道之心的修士,冒然凑过去,怕不只是会引火烧身,成为某一方,甚至是双方攻讦的目标,过去的每一点成就,都会被敌人用最挑剔的眼光审视,之后的每一日,都要生活在‘立道根基被驳倒’的恐惧之中。” The road 2000 blink: „Really fearful.” 路千千眨眨眼:“真可怕。” „The mess of ten thousand methods, the mortal could not have mixed.” Ai Changyuan said: „But, these old fogies want activity, even can involve the Wei two mister such previous generation to free and unfettered...... obviously this turmoil, the depth or the breadth, are unprecedented.” “万法门的烂摊子,凡人已经掺和不进去了。”艾长元如此说道:“不过,就连这些老家伙都想要活动一下,甚至都能牵涉到魏二先生这样的上一代逍遥身上……可见这一次动乱,无论是深度还是广度,都前所未有。” Strict, present divine land ten thousand methods, but also initiates in „incomplete theorem” „mathematical crisis”. 严格来说,现在的神州万法门,还处于“不完备定理”所引发的“数学危机”之中。 This is together the great misfortune. All member, doing everything possible passed this tribulation. 这是一道大劫。所有的修士,都在想方设法的度过这一劫。 They have to go all out. 他们不得不拼命。 „This is the big time...... a will of person, here does not have the significance. Even a talent, cannot pound the water splash to come.” “这就是大时代啊……一个人的意志,在这里已经没有意义了。甚至一个天才,都砸不出水花来。” Does not know this time, how many people also there are able to reach, how many people can pick the star? 不知这次,又有几人能够登顶,几人能够摘得明星？ ................................................................................................ …………………………………………………………………………………… „Any set is well-ordered...... or be only the well-ordered set, is meaningful, legitimate set.” “任何集合都是良序……或者说,只有良序集合,才是有意义的、合法的集合。” Looks at this brand-new axiomatics, calculates that Mr. old bosom consoles greatly, even the corner of the eye is moist. 看着这一道全新的公理体系,算君老怀大慰,甚至连眼角都已经湿润了。 „Kang Menzhu......” calculates that the lord choked: „Disciple Bai clear, had lost/carrying holds...... still to have the person of same belief fortunately, from my hand, received to the benchmark of sect...... now, we to the sect,............ in the solid foundation, have stood firmly! To the success!” “康门主……”算主哽咽道:“弟子柏澈,有负所托……所幸尚有同道,从我的手中,接过了离宗的标杆……现在,我们离宗,已经……已经……在坚实的基础上,站住脚了！离宗成功了！” Before ten thousand methods, generation of gate lords „day collection” Kang Tuoer creates the set theory since the time, the set theory has been questioned. 万法门前代门主“天集”康驼儿创造集合论的时代起,集合论就一直在受到质疑。 So-called „refine the pill of immortality master paradox” the thing, has existed. 所谓“炼丹师悖论”的东西,一直都存在。 But the modern times, „refine the pill of immortality master paradox” this kind of issue, a more appropriate name „was referred to by king Qihuan”, and was exposed directly. 而近代,“炼丹师悖论”这一类问题,被王崎换了一个更为恰当的名字“自我指涉”,并被直接的暴露了出来。 Refers to fording, and infinite loop, is the day demon that the set theory is unable to dodge. 自我指涉,以及无限循环,是集合论无法规避的天魔。 But now, does not need to be worried about this issue. 而现在,已经不用担心这个问题了。 Is moving toward a solid foundation to the sect. 离宗正在走向一个坚实的基础。 He thinks like this. 他是这样认为的。 At this time, a youth ran, in the look, brings panic-stricken: „Grand preceptor father! Grand preceptor father......” 就在这个时候,一个青年跑了进来,神色之中,带着一点惊恐:“太师父！太师父……不……” He told only half, suddenly be quiet, turns around to depart. 他说到一半,突然住嘴,转身就想要离去。 But clear stopped by calling out him, the sinking sound asked: „Was even/including sect has the new pattern?” 但希柏澈却叫住了他,沉声问道:“是不是连宗又出新花样了？” Disciple stiff shaking the head, but finally actually under calculating Lord gaze, nods, said: „Grand preceptor father, this......” 那弟子僵硬的摇头,但最后却在算主的注视之下,点了点头,道:“太师父,这个……” „Finally isn't very good?” “结果很不好吗？” „Not necessarily...... is not very good, that...... this...... this?” “也未必……很不好,那个……这……这个？” Calculates that Lord exclaimed lowly: „What flusters? Is the ratio inconsiderately is a more serious thing??” 算主低吼道:“慌什么？难道是比不周之算更严重的东西吗？啊？” The disciple slightly is then calm: „It is not......” 那弟子这才稍稍镇静:“不是……” „Was moon/month cold new system, argued down?” “月寒的新体系,被人驳倒了？” „...... Does not have.” The disciple sighed, gave clear a correspondence: „You look......” “不……没有。”那弟子叹息一声,将一篇信函递给希柏澈:“您自己看吧……” „Buddhist Bach...... of surname buddhist?” clear stares the big eye. “梵巴赫……姓梵的那个？”希柏澈瞪大眼睛。 This is not the good sign. 这可不是好兆头。 „To Greek gate lord: Left for many years......” “致希门主:一别经年……” The first half of this correspondence, is not the pleasantries. Calculated the Lord direct jump. He sees the middle part of correspondence. 这一封信函的前半部分,全都不是客套话。算主直接跳过了。他看到信函的中间部分。 „...... The Greek gate Lord also please recall 12. The finite set about within, besides through does not prove the self-evident the axiom to announce directly, whether an operation operation, can contact first to be possible number technology ‚the zero of true understanding’ 【Beth-0】?...... The great ambition of Kang Menzhu past, only ‚the ordinal numbers of all ordinal numbers’. Drops out inconsiderately calculates, and looks at it. At least, this in the complete element by concept, is the low level ordinal number comes through the set theory operation......” “……希门主还请回想一二。有穷集合之内,除了通过不证自明的公理直接宣告之外,是否有一种运算操作,可以接触到第一个可数技术‘道真之零’【beth-0】？……康门主昔日之雄心,不外乎‘所有序数之序数’。姑且抛下不周之算,且看起本身。至少,这以概念之内的全部元素,都是低层次序数通过集合论运算而来……” Sees here, calculated in the Lord heart to have an anxiety faintly. 看到这里,算主心中已经隐隐有了一丝不安。 Although the arithmetic „does not prove the thing that self-evident” said thoroughly, but, that is also only „discovery was considered as axiom in the past „” the thing is actually not axiom ” process. 尽管算学就是将“不证自明”说透的东西,但是,那也只是“发现过去被认为是“公理”的事物其实不是公理”的过程而已。 The logic has the zero point inevitably. 逻辑必然存在原点。 So-called „zero point”, is „does not prove self-evident” the axiom. 所谓“原点”,就是“不证自明”的公理。 This is the beginnings of all logical thinking. 这是一切逻辑思维的起点。 Even if king Qi does not like this view, temporarily has not jumped out of the mentality of this strange circle. 王崎就算不喜欢这个说法,暂时也没有跳出这怪圈的思路。 „By, us can announce a brand-new infinite axiom, its more may not Ta Keak count to have the axiom.” “是以,吾等可以宣告一个全新的无穷公理,其名越不可达基数存在公理。” „Cannot Ta Keak count, what kind of set theory operation resides in its under the base number regardless of through, base number that is impossible to achieve.” “不可达基数,居于其之下的基数无论通过怎么样的集合论运算,都不可能达到的基数。” „Therefore, first cannot Ta Keak count is first can the number technology, second cannot Ta Keak count is ratio „ all ordinal numbers the base numbers of ordinal number” a bigger base number...... ” “所以,第一不可达基数便是第一可数技术,第二不可达基数便是比“所有序数的序数的基数”更大的基数……” „Tick-tock......” “滴答……” Calculates that Lord stares, discovered own corners of the mouth gradually drip the next blood. 算主一愣,发现自己嘴角逐渐淌下一点血来。 Own internal organs have been damaged unexpectedly seriously. 不知不觉间,自己的脏腑居然已经严重受创了。 Reads that letter/believes again, unexpectedly some lines of sight are fuzzy. 再看那信,居然已经有些视线模糊了。 „Really is...... vicious......” “真是……狠毒……” This even/including sect free and unfettered, has not wanted to argue down Feng Luoyi directly. 这位连宗的逍遥,并没有想要直接驳倒冯落衣。 In fact, when Feng Luoyi proof „infinite axiom under the system that Yoshimoto gathers cannot prove may not attest to falsity”, has been in an impregnable position. 实际上,当冯落衣证明“无穷公理在良基集合的体系下不可证明也不可证伪”的时候,就已经立于不败之地了。 Therefore, he brought to light another matter. 所以,他只是挑明了另一件事。 Feng Luoyi Yoshimoto gathers, with the song courtyard faction grasped classical set theory and classical logic, is not in harmony similarly. 冯落衣的良基集合,与歌庭派所秉持的经典集合论、经典逻辑,同样不合拍。 The song courtyard faction and Feng Luoyi Turing, king Qi the base faction, seems like to the go-getter. 歌庭派、冯落衣图灵、王崎的基派,看似全都是离宗干将。 But in fact, among them the difference, is much bigger. 但实际上,他们自己之间的分歧,都大得可怕。 Perhaps this cannot calculate the powerful counter-attack, but, the song courtyard sends with Feng Luoyi difference, can always win the time for even/including sect. 或许这不能算有力的反击,但是,歌庭派与冯落衣的分歧,总能为连宗争取时间。