The public sentimentis roused to action.[(??[
群情激奋。[(??[kingQibeng the smileis feeling helpless, has not expectedownrecklessQia effect so goodcompletely. Another sideSu Junyuis somewhat puzzled. Only thenChenwill hitby the finepersonon the table.
王崎绷着笑脸不知所措,完全没有料到自己的胡掐效果这么好。另外一边的苏君宇有些困惑。只有陈由嘉一个人将头撞在桌子上。Sheindeeplyfeelssorrowfulfor the aesthetic standard and general knowledge of oneselfsame side.
她在深深为自己同门的审美观与常识感到悲哀。That, veryobviouslyisrecklessQia of thisfellow! Can thisfellow, nameproperly? Obviouslycannot!
那一段,很明显就是这个家伙的胡掐啊!这个家伙,能够正经取名吗?明显不能啊!Whyyoualsoreallyletter/believed!
为什么你们还真的信了啊!After the mood of people are gradually peaceful, kingQicaisaid: „Verygood, seemed likeapproves my ideal. Then, Isay how to completespecifically.”
在众人的情绪渐渐安静下来之后,王崎才道:“很好,看起来诸位是都认同我这个理想了。那么,我就来说一说具体怎么做好了。”kingQiwipes the flagstone. Under the function of elephantphase wavemerit, the flagstonechangesputs downandthinsagain, graduallychanges tooneheighttwometerand a widththreemetersgiantflagstone, seems the blackboardto be the same.
王崎一抹石板。在大象相波功的作用下,石板再次变平、变薄,渐渐的化作一块高两米、宽三米的巨大石板,就好像黑板一样。
The innumerablecloseswordair/Qirefer tofromkingQispout, wrote downmanysmall characterson the flagstone. These are completely the names of someanimals. Just, hisclassificationis somewhat strange, the centipede and spider and insectput together, the turtlefrogwas convergedonekind, the sharkwhalewait/etcwas also calculatedin the middle of the fish......
无数细密的剑气从王崎指间喷出,在石板上写下了许多小字。那些全部都是一些动物的名字。只不过,他的分类法有些奇怪,蜈蚣和蜘蛛和昆虫放在一起,乌龟蛤蟆被归为一类,鲨鱼鲸鱼等等也被算进鱼当中……Thisisveryancientclassification.
这是非常古老的分类法。„Most primitiveclassification, butaccording to the contour of life, will be divided intoonekind.”kingQierasedtheseinscriptions, then a swordair/Qiagainstroke. Thistime, on the blackboardpresented a classification that is similarto the dendrogram, the gatecompendiumbranchtypeis each level clearly demarcated.
“最原始的分类法,不过是按照生灵的外形,将之分为一类。”王崎又抹掉了这些字样,然后剑气重新一划。这一次,黑板上出现了一个类似于树状图的分类,界门纲目科属种层次分明。„Howeverthisis the classification of the presentusing, according tosibshipclassification of evolution. Thesetwoclassificationwhichtypesare better, everyoneis well aware.”
“而这是现在采用的分类法,按照演化的亲缘关系分类。这两种分类法哪一种更好,大家想必心知肚明。”
The peoplelook atkingQi, perplexed, does not know that actuallyshouldhowsay.
众人看着王崎,不明所以,不知道究竟应该怎么接话。Theyare the disciples of ten thousandmethods, the say/way of whatlifestudies?
他们可是万法门的弟子啊,研究什么生灵之道?kingQiknocked the flagstonegently: „Youdid not feel, the presentarithmetic, actuallydoes use the firstclassification?”
王崎轻轻敲了敲石板:“你们不觉得,现在的算学,其实还是使用第一种分类法吗?”ZhaoQingtanis the brainquitequickthatkind. Hethought ofanythingquickly: „Junior Brotherking, are you planmold the classification of arithmetic?”
赵清潭属于脑子比较快的那一类。他很快就想到了什么:“王师弟,难道你是打算重新塑造算学的分类?”WeiCangalsoknits the browsslightly, in the heartpondered that whatsignificancethisdoes have?
魏沧也微微皱眉,在心中思考这有什么意义?„Algebra, analysis, theory of numbersandgeometricalcommonfellow, butregards assuchseveralbigcorpseblocks the arithmetic, butdoes not see the entirecow.”kingQiemphasized: „Attention, here, ‚does not see the entirecow’not to containanycommendatory meaning. In fact, youare more liketoucheslike the blind person, was fetteredby the thought.”
“代数、分析、数论、几何一般的家伙,只是将算学视为这样几个大的尸块,而不见全牛。”王崎强调道:“注意,在这里,‘不见全牛’不含任何褒义。实际上,你们更像是摸象的盲人,被这样的思维束缚住了。”„Belongs to the how much the theory of algebraic curves? Does the group theorybelong to the how much? Suchideaextremelyossified.”
“将代数曲线理论归入几何?群论归入几何?这样的想法太过僵化了。”„Sinceouridealsset up the arithmeticagain, then, must, probablyfirstbreaksimply. Breaksitscleanthisstalething, brokenthenstands.”kingQibackhands a palmto patonbehindflagstone, flagstoneimmediatelydisintegration. Butin the fragment, actuallyleft behindsuchtwolarge characters.
“既然我们的理想是重立算学,那么,就要干脆一点,就要先破。将这陈腐的东西破它个一干二净,破而后立。”王崎反手一掌拍在身后的石板上,石板立刻崩碎。而碎片之中,却留下了这样两个大字。„Structure”.
“结构”。„Forgot that the originalalgebra, analysis, theory of numbersandhow much, forgot the label that onthesecorpseblockshits, understandsarithmetic'sstructurewith single-hearted devotion.”
“忘掉原来的代数、分析、数论、几何,忘掉那些尸块上打的标签,专心理解算学本身的结构。”Anothertyingpill the periodgreatlycompletemember who callsisFengXingchongstands, vacantasking: „This......, ifabandonstheseinherentconcepts, howweshouldponder?”
另外一个唤作冯兴衝的结丹期大圆满修士站起来,茫然的问:“这个……如果抛弃掉那些固有的概念,我们应该怎么思考?”Heis a Yuangodnears, depended onkingQito cometo tread the brokendayon the prospectto close, butkingQi„brokencomesthento stand”nowdirectly, hefeltsomepressures.
他可是元神在即,就指望靠着王崎这边来个踏破天关了,可王崎现在直接来个“破而后立”,他就感觉有些压力了。If the impact on the thought is really big, thenhewill postponeto tread the brokendaypass/test the day.
如果对思想的冲击实在是太大,那么他是会推迟踏破天关的日子的。kingQidao: „Thisis not difficultto explain.”HehintsFengXingchongfirstto sit down, thenshouldersboth hands, explained: „In my opinion, arithmeticmostfoundation, isitsstructure. Whatis‚structure’?”
王崎道:“这不难解释。”他示意冯兴衝先坐下,然后背负双手,解释道:“在我看来,算学最基础的,就是它的结构。什么是‘结构’?”„Weare tryinguse‚axiomization’ when the thoughtsets at variancethisarithmetic, will havesuchfeelingentirearithmeticshouldhaveonetypeunified, the overallfoundation, the arithmeticshouldin such overallfoundationlaunch. Butthisfoundation......”
“我们尝试着使用‘公理化’的思想解构这个算学时,就会有这样的感觉整个算学应该有一种统一的、整体的基础,算学就应该在这样整体的基础上展开。而这个基础……”kingQihuahas not said,was brokenby a sound of holding breathcold air.
王崎话还没说完,就被一阵倒吸凉气的声音打断了。BecauseZhaoQingtanoncesent some relations of transiting the discipling from the songcourtyard, somewhatsaidexcitedly: „Do youwantto use the axiomizationmentalityunexpectedly?”
赵清潭因为曾经与歌庭派有一些师承的关系,有些激动道:“你居然想要使用公理化的思路?”„Axiomization”, calculates when the lordcreates the arithmeticfoundation the method of using.
“公理化”,正是算主缔造算学根基时所采用的方法。However, whatveryunfortunatelyis......, ifwantswith the axiomizationexplanationmath, the logic of thenin the middle ofthisprocessusingshouldbecomplete, the entiresystemmustnot haveself-contradictory, anypropositioncanproveorcanattest to falsity.
但是,很不巧的是……如果想要用公理化阐释数学,那么这个过程当中采用的逻辑就应该是完备的、整个体系必须是没有自我矛盾的、任何命题都是可以证明或可以证伪的。Whatunfortunatelyis, thissystemdestroysinkingQi the hand. The songcourtyardsendsto calculatein the Yuan the effort that itis counted, was all destroyedbykingQitwopapers.
更不巧的是,这个体系就是毁在王崎手中。歌庭派在元算之算上的努力,全都被王崎两篇论文摧毁了。„With, whydoes not use.”kingQireplied: „In factIlikethismentality. Buthopes the seniorstep is too big, crossedourexistingabilities. Ido not request‚arithmetic’now, butisrequest‚knownarithmetic’ does the foundation, whatissueandknownpushwiththisunknownalsohas? senior brother, next timepleaseremembermademesay the words.”
“用,为什么不用。”王崎回答道:“实际上我本人还是非常喜欢这个思路的。只不过希前辈步子太大,过了我们现有的能力罢了。我现在并不要求‘算学’,而是要求‘已知算学’的根基,并用这个已知去推未知还有什么问题吗?师兄,下次请记得让我把话说完。”Sitting down that ZhaoQingtanis too busy, butkingQistartsto continueoneselfspeech.
赵清潭忙不迭的坐下,而王崎则开始继续自己的讲演。„Howeverthis‚foundation’, is the structure. Inmypresentimpression, arithmeticthe world'scenter, ismost generalized‚originstructure’. The characteristics of thisstructure, are‚axiomnumberare few’. Because, the axiomnumberare few, represents that thisstructureis restrictedto be few, but the limitwas short, the range that thisstructureaims is broader.”
“而这个‘基础’,就是结构。在我现在的观感当中,算学世界最中心的,就是最为一般化的‘始源结构’。这个结构的特点,就是‘公理数目少’。因为,公理数目少,就代表这个结构受到的限制少,而限制少了,这个结构所指向的范围就越广阔。”„In the middle ofsamestructure, the axiomnumberare less, naturally is also the generalization.”
“同一种结构当中,公理数目越少的,自然也就越是一般化。”„Said that a specificexamplewas good, the structure of group theoryhasfouraxioms, supposed that group‚doesday’is a non-empty set, symbol‚profound’is its binary operation, has, inverse elementto existinfouraxiomcloseness, the associative lawestablishmentandunit element, thenname‚doesday’to‚unreliably’to constitute a group. At this time, if an auxiliaryaxiom, for example‚doesin additionday’essential factorinfiniteorlimited, thisstructureturned into a more specialfinite groupor the infinite group. If‚a binary operationsatisfiescommutative law’in additionthisaxiom, thenthisstructureturned into‚commutative group’.”
“说个具体的例子好了,群论的结构有四条公理,假设群‘乾天’是一个非空集合,符号‘玄’是它的一个二元运算,则在四条公理封闭性、结合律成立、单位元存在、逆元存在,则称‘乾天’对‘玄’构成一个群。此时,若是加上一条辅助公理,比如‘乾天’要素无限或者有限,这个结构就变成了更加特殊的有限群或者无限群。若是加上‘二元运算满足交换律’这个公理,则这个结构又变成了‘交换群’。”
......
……Thump thump...... thump thump......
怦怦……怦怦……kingQispoke with confidence, the hearts of others actuallystartedto beatcrazily.
王崎侃侃而谈的时候,其他人的心脏却开始疯狂跳动起来。Thisidea...... quiteextraordinary!
这个想法……相当了不起啊!Thisflash, the arithmeticwas in their eyes different. In those daysconcreteformula, methodandgraph, startedbecomesfuzzy
这一瞬间,算学在他们眼中就不一样了。往日具体的公式、方法、图形,也开始变得模糊起来Thisalsoclose tolooked at the mountainis not the mountain, looked at the wateris not the boundary of water.
这也就接近了看山不是山,看水不是水的境界了。„Originally the arithmetic can also...... FengXingchongget hold of the fingerlike this”. Hisfirstfeeling, the arithmetic can also like this, be ableunexpectedlylike this!
“原来算学还可以这样……”冯兴衝握紧了手指。他第一次觉得,算学原来还可以这样,居然还可以这样!Completesubversion!
完全的颠覆!Forthisextraordinaryidea, postponed30years of Yuangodalsovalue!
就为了这个了不起的想法,推迟三十年元神也值了!Butanother side, ZhaoQingtanalmostmustcry. Before hetreads the brokendaycloses, the completelawis shown, calculatesLordcanendureat the height of powerandshortlybrokenaskedfinally. After heiswantedtreads the brokendayto close, toward„joinssongcourtyardfaction”thisdirectiondiligently. But after hetreads the brokendaycloses, actuallysuddenlyheard that calculates the main roadheartfalls into enemy hands the songcourtyardfaction that andcultivatesistendoes not saveone, to yearn foralsoto fall into the precariousposition. Thismadehimbe at a lossvery muchsome time.
而另一边,赵清潭几乎要哭出来了。他踏破天关之前,正是完备律被证明,算主如日中天、眼看就能堪破最后一问。他原本就是想要踏破天关之后,向着“加入歌庭派”这个方向努力。而他踏破天关之后,却突闻算主道心失守、修为十不存一、自己向往的歌庭派也陷入风雨飘摇的境地。这让他很是迷惘了一段时间。Butnow, calculates the Lord thought that inthisreplacesto calculate that on the Lordyoungsterreappeared!
而现在,算主的思想,就在这个取代算主的少年身上再现了!„Perhaps...... thisreallyto the update of sect?”
“或许……这真的是离宗的一次换代?”
Others are also variousresponses, to mention just a few.
其他人也是各种反应,不一而足。Chenlooks atkingQi by behind, in the heart is also all sort oftastetumbles.
陈由嘉在后面怔怔的看着王崎,心中也是诸般滋味翻滚。Howeveris most obvious, is actually „proud”.
不过其中最为明显的,却是“自豪”。Thisfellow, changedfierce......
这家伙,又变厉害了……InkingZaki'snarration, a newthinking mode, sets upfinallygradually.
在王崎的讲述当中,一个新的思维方式,也终于渐渐树立起来。„Manyyears ago, Iwhentaketo obtain enlightenmentenjoying, has said that the issue of arithmeticdomain can actually be divided intoseveralkinds. The issue that is unable to solve, hangs the issuebeyondsystem, to have the method the issue, to have the general theorythis solitary one the issue, lacks the solutionsignificance the issue. Ithink, the direction that wethenstudy, mainlyplacesin the fourthkind, while convenientthird order. The secondkind of fifthkindlittleprovokes, the firstkinddo not bump......”kingQidao: „Remember, ourpursuesare‚generality’do not care about the theory, underthemhas a broaderstructure, thatisourgoals.”
“许多年之前,我在取得道器之赏的时候,就讲过,算学领域的问题其实可以分为好几类。无法解决的问题、孤悬在体系之外的问题、产生方法的问题、产生一般理论的问题,还有缺乏解决意义的问题。我想,我们接下来研究的方向,就主要放在第四类上,顺带第三类。第二类第五类少招惹,第一类就不要碰……”王崎道:“记住,我们的追求就是‘一般性’不要在意理论本身,它们之下有着更加广阔的结构,那才是我们的目标。”In the people, severalpeoplehold breathagaincold air, in several other populationhas the sound. After others recallone, makes being suddenly enlightedshape. Somelines of sightcarry overquietlyhideincrowdfollowingChenby.
众人之中,有几人再次倒吸一口凉气,另有几人口中啧啧有声。其他一些人回忆一番之后,也做恍然大悟状。还有一些视线悄悄移向藏在人群后面的陈由嘉。kingQistaredwas somewhat feeling strange: „What's wrong? Onetwoarethislook......”
王崎被盯着有些奇怪:“怎么了?一个二个都是这个眼神……”WeiCangsmiles bitterly saying: „Wefeel ashamed of one's inferiority...... originallyyou67years ago startsto ponder such deepissue......”
魏沧苦笑道:“我们只是自愧不如罢了……原来你六七年前就开始思考这么深的问题……”
The great thought that issotenyearssharpens a sword......
伟大的思想,都是这般十年磨一剑的吧……ZhaoclearTanzewas somewhat ashamed: „In the pastwealsothink that youare chokingChenZhangmenintentionally, after allyou two, sometrulyenmities......”
赵清潭则有些羞愧了:“当年我们还以为你是在故意呛陈掌门,毕竟你们两个,确实有些嫌隙……”Amongthesefellows, the smartpartreviewskingQihad shown the papersandspeechlong time ago, canunderstandunderstands,incomprehensiblewrites downhardly, thereforetheycanrememberthatseveralyears ago smallspeeches that enjoy.
这些家伙当中,机灵的一部分早早就复习过王崎曾经表过的论文、讲话,能够理解的都理解下来,不能理解的都硬记下来,所以他们才能够想起那几年之前道器之赏的小小演讲。ButChen Jingyunlord the research the direction, the pearlcalculates,canbe counted„isolatedissue”, extraordinary is also only„has the methodissue”. At that timemanypeoplealsofelt,kingQiis deliberately disparagingChen Jingyun.
而陈景云主研的方向,明珠之算,可以算作“孤立的问题”,了不得也只是“产生方法的问题”。当时很多人也觉得,王崎就是在刻意贬低陈景云了。kingQihaitwo: „AboutmeandsomeChenZhangmenthingsin secret, heredo not discuss. Wethen conducted the nextlinkto be good.”
王崎咳了两声:“关于我和陈掌门私底下的一些事情,这里就不要讨论了。我们接下来进行下一个环节好了。”
The peopleshow the smile;
众人露出微笑;Does not know that „nextlink”, whatextraordinaryopinionkingQiwill blow out?
不知道“下一个环节”,王崎又会爆出什么了不得的言论?Unexpectedly, kingQiputs outonepack of examination papers: „, Finishedthesebefore the darkness.”
不料,王崎拿出一叠试卷:“诸位,在天黑之前把这些写完吧。”Severalpersoncautiousasking of: „Thisis......”
有几个人小心翼翼的问道:“这是……”„Trial, wantsto know that yourlevels, the practical measurementonewas good.”( To be continued.) 8
“试炼啊,想要知道你们的水平,实际测试一下就好了。”(未完待续。)八
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