MHAG :: Volume #7

#651: About a sharp debate of mathematical massacre

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Although this Jeance shields Poos they to feel a little depressed, actually stimulated them the determination that tries hard to study. 这虽然让斯庇西普斯他们感到有点沮丧,却更激发了他们努力学习的决心。 In addition, Jeance shields Poos they to feel that what is curious: Since the autodidact congress has started, coming the school to listen to teaching the Theonia people that to be continuous, the entire school crowded the person, even Thurii has to send the soldier to enter the school to keep the order, finally the academy stipulated forcefully, „every day only gives the people fixed quota of attending a lecture to enter the academy.” Even so, still outside the obvious academy a lot of people wandered every day. 此外,让斯庇西普斯他们感到好奇的是:自学者大会开始以来,来学院听讲课的戴奥尼亚民众就络绎不绝,整个学院都塞满了人,甚至图里伊不得不派士兵进学院维持秩序,最后学园强行规定,“每天只给予来听课的民众固定的名额进入学园。”即使如此,每天仍可见学园外不少民众徘徊。 Au Loek Lancet had talked with them, in these people have the public officials, farmers, merchant and artisan...... to have the Thurii person, there are from Campania, Magna Graecia, Apulia, Sicily......, moreover is not only Greeks, Lucanians, Bruttians and Messapians...... they mostly have studied in the school in Theonia each city, even is busy with the life, still longed for the knowledge. 奥勒阿斯曾经和他们交谈过,这些民众中有公职人员、农夫、商人、工匠……有图里伊人,也有来自坎帕尼亚、大希腊、阿普利亚、西西里……而且不光是希腊人,还有卢卡尼亚人、布鲁提人、梅萨皮人……他们大多都在戴奥尼亚各个城市的学校学习过,即使忙于生活,也仍然渴望知识。 From them the issue that asked in the conference site, can see that their state-of-art were not low, this Jeance shielded Poos, Au Loek Lancet they to be startled very much, because like the speech and exchange of this level often was the matters of small number of people, the knowledge in numerous Greek city-state was not popular, even the prosperity like Athens, were still so. When every year Athens ecclesia elects the general or expels the politician, the citizen who is not literate asked others to help itself in the situation on the pottery shard writing is everywhere...... pursue of Theonian to the knowledge so warm, making them blush with shame. 从他们在会场中所提出的问题,就可以看出他们的知识水平并不低,这很让斯庇西普斯、奥勒阿斯他们吃惊,因为像这种层次的演讲和交流往往都是少数人的事,在众多希腊城邦中知识并不普及,即使繁荣如雅典,也是如此。每年的雅典公民大会推选将军或者驱逐政客时,不识字的公民请旁人帮自己在陶片上写字的情况是比比皆是……戴奥尼亚人对知识的追求是如此的热烈,令他们汗颜。 Afternoon of this day, Au Loek Lancet their hurriedly rushes to the number school from the wise school, because here has a Froster Karta's speech. 这一天的下午,奥勒阿斯他们急匆匆的从哲学院赶到数学院,因为这里有福斯特卡达的一个演讲。 The scholar congress that Theonia holds also provides the stage for the young scholar, so long as their applications pass, can mount the stage the speech, alternates in the well-known scholar's speeches. 戴奥尼亚举行的这个学者大会同时也为年轻学者提供舞台,只要他们的申请通过,也可以登台演讲,穿插在知名学者的演讲中间。 In the young people who mounts the stage to speak the student by Theonia academy is certainly in the majority, after all they prepare fully, nature through many of also inspection. 上台演讲的年轻人中当然是以戴奥尼亚学园的学生居多,毕竟他们准备得更充分,自然通过考核的也多。 Froster Karta shields Poos, Au Loek Lancet they to know early, the student in relational best Theonia academy as present, but also once invited them in the Cheiristoya restaurant to city to dine yesterday evening, therefore shields Poos they naturally to support, will also speak anything in curious Froster Karta, because when last night chat, he always kept one's mouth shut. 福斯特卡达作为斯庇西普斯、奥勒阿斯他们认识最早、关系最好的戴奥尼亚学园的学生,还曾在昨天晚上邀请他们到城内的克莉斯托娅餐厅就餐,因此斯庇西普斯他们当然要来捧场,同时也在好奇福斯特卡达会讲什么,因为在昨晚的聊天时,他始终守口如瓶。 When they enter the conference site of number school, Froster Karta's speech has started. 他们进入数学院的会场时,福斯特卡达的演讲已经开始。 What they see is astounding one: Some audience under field bellow the strategic place that yelled to mount the stage, was stopped by the soldiers, some people even threw the stone toward the stage on. Froster Karta was encircled by the schoolmate in central, resolutely he does not fear was telling with a bigger sound own viewpoint, simultaneously writes its discussion process with white Bi of limestone manufacture on the jet black panel. 他们看到的是令人惊奇的一幕:场下的一些观众大吼大叫的要冲上台,被士兵们阻拦,有的人甚至往台上扔石头。福斯特卡达被同学围在中央,他毅然不惧的用更大的声音讲述着自己的观点,同时用石灰石制作的白笔在漆黑的壁板上书写它的论证过程。 „What is Froster Karta's speech title?” Au Loek Lancet is busy at asking nearby audience. “福斯特卡达的演讲标题是什么？”奥勒阿斯忙问旁边的听众。 This audience did not say one patiently: „«By Ratio Number Existence besides Integer And Integer».” Then dedicated continues to listen attentively. 这位听众不耐烦的说了一句:“《论除整数和整数比之外的数的存在》。”然后又专注的继续倾听。 Au Loek Lancet thought that this topic is somewhat familiar. 奥勒阿斯觉得这个题目有些熟悉。 „Hippasus!” present shielded Poos to remind one in side. “希帕索斯！”斯庇西普斯在旁边提醒了一句。 Au Loek Lancet is suddenly enlighted. He thought the familiar reason is because this topic related to dozens years ago an academic massacre of Magna Graecia. 奥勒阿斯恍然大悟。他之所以觉得熟悉的原因是因为这个题目涉及到几十年前大希腊发生的一个学术惨案。 Hippasus, is the Metapontum person, the disciple of Pythagoras school of thought. He when studying pentagon, discovered that its diagonal line and length of side are unable expressed with the integer or the integer recently. Then, he discovered that the square the length of side and diagonal line are also the similar situations. 希帕索斯,是梅塔蓬图姆人,毕达哥拉斯学派的门徒。他在研究正五边形时,发现其对角线和边长无法用整数或整数比来表示。接着,他又发现正方形的边长和对角线也是同样的情况。 He who therefore fills with the exploration spirit undergoes the repeated proof, confirmed a matter: Namely besides integer and integer ratio, but also has a number, it is unable by the aliquot, not to be obtained the accurate number, except it not, cannot circulate. 于是充满探索精神的他经过反复的求证,确认了一件事:即除整数和整数比之外,还存在一种数,它无法被整除,得不到准确的数字,除之不尽,又不能循环。 Then, he put forward oneself viewpoint at the symposium of school of thought member. 然后,他在学派成员的讨论会上提出了自己的观点。 The member of Pythagoras school of thought was scared, because of the discovery of Hippasus, if after the confirmation and promotion, overthrows „myriad things that school of thought founder Pythagoras proposed to count ; first, the generating elements of all numbers, universe all sum up in the ratio of integer and integer” the philosophy idea, finally the other members of Pythagoras school of thought the Hippasus captivity, and its investment sea, are drown to death finally while still alive. 毕达哥拉斯学派的成员恐慌了,因为希帕索斯的发现如果经确认和推广开来,就推翻了学派创始人毕达哥拉斯所提出的“万物皆数,一是所有数的生成元,宇宙的一切都归结于整数和整数之比”的哲学理念,结果毕达哥拉斯学派的其他成员将希帕索斯囚禁,并最终将其投入海中,活活淹死。 But this matter spreads finally after the complaint of Hippasus family member. 但这件事经希帕索斯家人的控诉最终流传开来。 Au Loek Lancet approximately knows that has such a event, does not know detailed process, but sees under the stage the audience of these angry protests, he knows that is the member of Pythagoras school of thought that in the heart worries certainly for Froster Karta. 奥勒阿斯大约知道有这么一个事件,并不知道这其中的详细过程,但是看到台下那些愤怒抗议的听众,他知道那一定是毕达哥拉斯学派的成员,心中不禁为福斯特卡达捏了一把汗。 Froster Karta has not called to pay attention to the clamours of these people, self-poise continues to solve on the panel. 福斯特卡达却没有将这些人的嚣叫放在眼里,镇定自若的在壁板上继续求解。 present shields Poos to gaze at the panel, he saw digit and symbol that Froster Karta uses „Davos digit”, it is said is King Davos is enlightened to invent by Hades, this type „the Davos digit” most starts only in Kingdom of Theonia popular, afterward spread other city-state through the merchant, gradual was even accepted by other city-state people scholars, after all it extremely facilitated and quickly, eliminated the worry of Greeks idea large number in the counting and operation particularly, therefore today the scholars and people present basically can look understand. 斯庇西普斯注视着壁板,他看到福斯特卡达使用的数字和符号正是“戴弗斯数字”,据说是戴弗斯国王受哈迪斯启迪而发明的,这种“戴弗斯数字”最开始只在戴奥尼亚王国内流行,后来通过商人流传到了其他城邦,逐渐的被其他城邦民众甚至学者们所接受,毕竟它在计数和运算方面太过便利和快捷,尤其是消除了希腊人计大数的烦恼,所以今天在座的学者和民众基本都能看得明白。 Froster Karta drew a square on the panel, he establishes each length of side is one, then he solves the diagonal line the length, what sarcastic what is Froster Karta uses being Pythagoras invents the pythagorean theorem. Computation the length of result diagonal line turned into two roots. 福斯特卡达在壁板上画了一个正方形,他设定每一条边长为一,然后他来求解对角线的长度,讽刺性的是福斯特卡达用的是毕达哥拉斯所发明的勾股定理。计算的结果对角线的长度就变成了二的开方。 Froster Karta then with Pythagoras school of thought commonly used method- reduction to absurdity showed that this number is unable to express with two integers recently. After his successful proof, but also continues to attempt to two to conduct the root operation. 福斯特卡达接着还是用毕达哥拉斯学派常用的方法-反证法来证明这个数字无法用两个整数比来表示。他成功的论证完后,还继续尝试着对二进行开方运算。 At this time, what he used was he calls it „dichotomy” the algorithm, the entire panel was written all over shortly quickly, he then discarded white Bi, wiped the sweat of forehead, turned around to face the audience under stage, loud saying: „After my computation, the length of this square diagonal line should be 1.4142......, this number had not ended, it is endless, does not circulate, it is unable to write the ratios of two integer, therefore it is not the natural number, I call it the non- natural number it......” 这时,他使用的是一种他称之为“二分法”的算法,眼看着整个壁板都快被写满,他这才扔掉白笔,擦去额头的汗水,转身面对台下的听众,大声的说道:“经过我的计算,这个正方形对角线的长度应该是1.4142……,这个数字并没有结束,它将是无尽的、不循环的,它无法写成两个整数之比,因此它不是自然数,我将它称之为非自然数……” „Shut up!” “闭嘴！” „Nonsense!” “胡说八道！” „You said is completely wrong, does not have such number! A you young student has what right to slander great Pythagoras! Insulted our School! Goes, making us teach your well!......” The member of Pythagoras school of thought is shouting curses loudly. “你说的全部都是错误的,根本就不存在这样的数！你一个小小的学生有什么权利诋毁伟大的毕达哥拉斯！侮辱我们学派！快滚下来,让我们好好教训你一顿！……”毕达哥拉斯学派的成员大声的叫骂着。 Number school vice-president Marticoris of conference site front stands up angrily, shouted sternly: „Makes what noise! Here is the Theonia academy, is not Taranto! The soldiers, do not attend a lecture the fool who and instead causes trouble to drive out to me these earnestly!” 会场前排的数学院副院长马提科里斯愤然站起,厉声喝道:“闹什么闹！这里是戴奥尼亚学园,不是塔兰图姆！士兵,将这些不认真听课、反而闹事的蠢人给我赶出去！” Marticoris has the status of kingdom senior statesman. His saying, the soldiers rush immediately, must arrest these rioters. 马提科里斯可是有王国元老的身份。他这一说,士兵们立刻冲上去,要抓捕这些闹事者。 On the conference site a confusion, has the Pythagoras school of thought member to curse angrily loudly: „Marticoris, your rebel! I know that you taking advantage of the Theonia power, will suppress our Pythagoras school of thought that because you on learning compared with us! Our time came Thurii to have a look at you to have any new unique interpretation, has not thought of...... me! What entire Greek scholar congress! I look am bubble excrement!” 会场上一片混乱,有毕达哥拉斯学派成员大声怒骂:“马提科里斯,你这个叛徒！我就知道你会借着戴奥尼亚的权力,来打压我们毕达哥拉斯学派,因为你们在学术上比不过我们！原本我们这次来图里伊就想看看你们有什么新的创见,没想到……我呸！什么全希腊学者大会！我看就是一泡屎！” „«Entire Greece Scholar Congress» is good, is not one's turn you to appraise!” The conference site entrance broadcasts the resounding sound. “《全希腊学者大会》好不好,轮不到你来评价！”会场门口传来响亮的声音。 „Davos your majesty!!” “戴弗斯陛下！！” „Your majesty!!!” “陛下！！！” ...... …… In the screams of audience, the trend platform of Davos stride. 在听众们的惊呼声中,戴弗斯大步的走向讲台。 Was taken in the Davos power and influence, the member of Pythagoras school of thought also stops the shouting, in the conference site presented a strange silence quickly. 摄于戴弗斯的威势,毕达哥拉斯学派的成员也停止了叫嚷,会场内很快出现一种怪异的寂静。 Davos mounts the platform, Froster Karta respectful salutes to him. 戴弗斯走上讲台,福斯特卡达恭敬的向他行礼。 Davos patted his shoulder gently, then facing the audience, the sinking sound said: „Here is the sacred place of instruction knowledge and exchange knowledge, forbids to rail and fight, the violator will be punished, this is " Theonia Law » stipulation, I hope that do not offend it, who otherwise does not close you are, will be punished by the law!” 戴弗斯轻轻拍了拍他肩膀,然后面对听众,沉声说道:“这里是传授知识、交流学问的神圣场所,禁止谩骂和打斗,违反者将受到处罚,这是《戴奥尼亚法律》的规定,我希望你们不要去触犯它,否则不关你是何人,都将受到法律的惩处！” „Your majesty, we have no intention to be against the Theonia law. However, at such an influence giant congress, the Theonia number school chooses such a thesis intentionally, discredited and slandered that our School respectable Founder Pythagoras, wantonly attacks our School the prestige, destroys unity between Theonia and Taranto, I think that this is not...... I who you are willing to see hopes the troublemaker who your majesty you can this matter conducts serious processing!” As the important member of Pythagoras school of thought that Lyssy has not made a big row like others, but with his sharp eloquence, raised the protest righteously. “陛下,我们无意触犯戴奥尼亚的法律。但是,在这样一个影响力巨大的大会上,戴奥尼亚数学院故意选择这样一个论题,来抹黑和诋毁我们学派尊敬的祖师-毕达哥拉斯,肆意攻击我们学派的声誉,破坏戴奥尼亚和塔兰图姆之间的团结,我想这也不是您所愿意看到的……我希望陛下您能对这件事的肇事者进行严肃处理！”作为毕达哥拉斯学派的重要成员,吕西斯没有像其他人那样大闹,而是用他犀利的辩才,义正词严地提出抗议。 „Your majesty, you listened to me saying that......” Marticoris is wanting to argue anxiously, sharp vision of Davos like the knife swept to him, his afraid does not speak. “陛下,你听我说……”马提科里斯急着想要争辩,戴弗斯像刀子一样锐利的目光扫向他,他心虚的不说话了。 Before Davos, coordinates the schedule of oversized meeting, he generally knows topic that the well-known scholar spoke, but did not know about the speech content of young scholar, because this was verified the arrangement by each school. However Marticoris as the disciple of original Pythagoras school of thought that how he can not know that this matter possible influence, does not notify one unexpectedly, arranged the student to speak such a topic quietly, Davos will certainly be discontented with him, because this may ruin such a congress of not easy organization. 戴弗斯之前协调过大会的日程安排,他大致知道知名学者演讲的题目,只是对青年学者的演讲内容不了解,因为这都是由各个学院自行审核安排的。但是马提科里斯作为原来毕达哥拉斯学派的门徒,他又怎会不知这件事可能造成的影响,居然不通报自己一声,就悄悄地安排学生讲了这么一个题目,戴弗斯当然会对他不满,因为这可能会毁掉这样一次毫不容易组织的大会。 If not wants the dispatching school that morning Hernipolis worries to listen to the speech, Davos asked while convenient a today's congress content is anything, after Aristias sends for goes to the academy to inquire one, comes back to tell him, after he could wait for this conflict noisily big, knows. 如果不是早上赫尼波利斯着急的想去文学院听演讲,戴弗斯顺带的问了一句今天的大会内容是什么,阿里斯提拉斯才派人去学园打听一番之后,回来告诉他,他可能要等这次冲突闹大了之后才会知道。
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