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阿鸡追龟(”芝诺悖论“)考

热度 1已有 11640 次阅读2014-3-11 10:24 |个人分类:法律相关|系统分类:随笔评论

1芝诺悖论(摘自枪枪日志)

   假设赛跑开始的时候,乌龟在阿基里斯前100米,并假设阿基里斯的速度是乌龟爬行速度的10倍。当阿基里斯跑了100米到达乌龟原来所在的位置时,乌龟已又向前跑了10米。当他再跑完10米去追赶乌龟时,发现乌龟还在他前面1米。他再跑前1米,乌龟还在他之前有10厘米......如此下去,阿基里斯只能一次次地到达乌龟所经过的地点;阿基里斯永远也追不上乌龟。

2  用数学语言表述,这不是赛跑,也不成为数学题

   设:阿鸡与乌龟在同一条直线上匀速跑步,同时起跑,方向一致,起跑点分别为鸡所在的A点及龟所在的B点,AB之间距离N米,鸡的速度是龟的速度v10倍。求证:阿鸡永远不可能在龟的前起跑点赶上乌龟。

   证明:鸡从起跑点A跑向龟的起跑点B,当鸡到达B点时龟已到达C点;这时,鸡以B点为新的起点跑向龟目前所在的C点,当鸡到达C点时乌龟已到达D点;这时,鸡以C点为新的起点跑向乌龟目前所在的D.....如此下去,阿鸡永远不可能在龟的前起跑点赶上乌龟,无须求证。

3   考察旅馆并非追鱼

设:黑鱼夫妇一年环游五洋一遍,鱼粉猫咪驾艇跟踪考察(栖息性,所住旅馆);当黑鱼离开太平洋珍珠港游往印度洋的同时,鱼粉驱艇从横滨驰向珍珠港;当黑鱼离开印度洋科伦坡的同时,鱼粉驱艇从珍珠港驰向科伦坡......要求鱼粉在黑鱼退房时,赶往该房考察,不存在哪年抓住黑鱼的问题。

4、魔术论

   邻人来自福建渔村,七十多了,没进过学堂。他说,这是一个魔术,在中国称为障眼术。 他说,关键障眼处在于:鸡龟在不同起跑点同时起跑,鸡的速度再快,也不可能在龟的起跑点赶上龟;第二,鸡的目标是龟当时的起跑点而不是目前所在地点;第三,鸡赶到的是乌龟曾经路过的地点而不是乌龟此刻所在地。他还说,魔术就是扰乱视线,误导人们去,注视一些与结论风马牛不相及(并非特定因果关系)的动作、事实、证据,忽视本来面目,产生错觉。他拿出他的重孙的数学书,果然可见,初等数学的一次追及问题基本公式是:

  追及耗时=路程差÷速度差.    t =N/(10v-v)=N/9v.    t肯定不等于零,即追者不可能同时身居两地。

  追者行程=路程差+被追者行程=N+tv,肯定大于N,即追者不可能在被追者的前起跑点赶上被追者。

5 双簧、黑话,讼用诡计-隐藏假条,产生缺席审判实例(transcripts

   1.THE COURT: Very good. All right. This had been -- Mr. S, do you have any information -- before we proceed with respect to the equitable distribution portion, on the last adjourn date the Court indicated it would continue with the trial today at 2:15. It's now three o'clock. Do you have any information or does your client have any information with respect to the reasons why the defendant in this action is not present?  (看到Mr.S收了假条,明知故问)

   2).  THE Mr,S,(counsel): Neither I nor my client has any information with respect to the whereabouts of the defendant.(答非所问但极其隐蔽)

   3).  THE COURT: All right. Then I will permit you to proceed with your inquiry. (顺水推舟,按缺席审判)

 

6、双簧、黑话,讼用诡计实例-隐藏证据,产生默认裁决实例(transcripts

  1.THE COURT: It is now -- do you have any other witnesses or any other documents to put into evidence?(有任何东西进入证据吗)

  2). MR. S: No, your Honor.

  3.THE COURT: All right. You're resting, is that correct?(心里不踏实,主动约请律师私下通气)

  4.MR. S: That's correct, your Honor.(一拍即合)

  5). THE COURT(放下心来): It is now 3:15. The defendant has failed to appear on this continued trial, so the testimony is closed. The defendant has not testified, has not placed any documents into evidence.    The Court notes that previously the CourtThe Court notes that previously the Court precluded the defendant from offering any financial information based upon his failure to comply with the Court's orders with respect to discovery. And even if the defendant had appeared today in court, he would be precluded from offering any financial.              I'm going to take a very brief recess and the Court will make it's ruling on the record. (掩护私通)

  (Whereupon, a brief recess was taken after which the proceedings continued as follows:) (一句对话而已,一分钟足够了)


7、结论

   说“阿基里斯永远也追不上乌龟”,等于说“芝诺永远也追不上拉登”或“苹果掉不到地上”。“芝诺悖论”是一种误导注意点的蒙人法,类似魔术家的障眼法。从计谋学角度看,属于指东打西、假途灭虢、明修栈道暗渡陈仓之计。讼棍常用这种诡计,造成他人(包括记录)误解以达到其不可告人的目的。



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