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哥德尔定理和西蒙的哲学(4)

已有 3486 次阅读 2013-3-3 20:21 |个人分类:科研笔记|系统分类:观点评述| 西蒙, 歌德尔定理

(4)不存在的章节:悖论的制造与消解
    在开始的写作中,这一章本是不存在的。因为李铭博主和二傻兄的缘故,我决定写这奇怪的一章。
     对一个电子工程师而言,抛开哲学和数学种种讨论,会提一个问题,我们能构造一个可以展示的悖论吗。结论是:可以。
     那就是:A=~A。就是说有个二值信号A,它的取值是0或者1,这个时候我们给它赋值,当它等于1的时候,它就等于0;当它等于0的时候,它就等于1。凡熟悉数字电路的读者,很容易构造实现这个悖论或者自相矛盾的逻辑。很简单,用反相器,电路如下图:
            
       估计有很多学过电路的朋友会发晕:那么A到底等于0呢,还是1呢?
       估计有不少朋友会跳出来发表意见:
      (1)义正词严派:“你违规了,这个电路不能这么接!”
      (2)莎士比亚派:“Be or not to be,it is a question."
      (3)悲观主义者:“电路烧了!”
      (4)乐天派:“管它呢!”
       但是二傻和三糊涂,呆气十足地站在图下观看,等待了春秋冬夏又复春秋冬夏,想了又想。。。
       最后三糊涂实在忍不住了,去买了74LS04和74HC04两种芯片,接上电,按图接好电路。用电压表测量结果:
       如果,电压高于3.6v,就是“1”,低于0.7v,就是“0”。
       结果是,对于74LS04而言,其电压值在2.4V附近浮动,所以既不是0,也不是1,而是在那个“不存在”的地带浮动着。
       对于74HC04,其电压值则一会儿是“1”,一会儿是“0”,完全乱跳。
       如果你去选用不同电路,还会有很多不同的结果。比如有一直取“1”的,有一直取“0”的,还有在“0”和“1”之间来回周期性跳跃的。。。。
       。。。。。。。
       二傻实在忍不住了,超起屁股下的板凳猛拍三糊涂的头:“我们是天狼星来的耶,我们比地球人还傻耶,我们是电路吗,是电路吗?”
      。。。。。。。。  
      为了证明二傻是天狼星来的,也为了证明三糊涂确实是天狼星来的,两个人开始背天狼星口诀:
      红的绿的蓝的红的绿的蓝的红的绿的蓝的红的绿的蓝的红的绿的蓝的红的绿的蓝的 红的绿的蓝的
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      然后,三糊涂要二傻马上回答:“刚才一共出现了几种颜色?"
 
      二傻气不忿,为了证明二傻是天狼星来的,也为了证明三糊涂确实是天狼星来的,两个人又开始背天狼星口诀:
      大的小的,小的大的,大的小的,大的小的,小的大的大的小的,大的小的
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      “然后,马上回答:最后是‘大的’还是‘小的’?”
       三糊涂立马晕菜。
 
      


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