我觉得它是人造的游戏，而不是描摹世界的努力

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送交者: sybil 于 2007-01-09, 12:53:17:

回答: 你问这个问题又有什么意义？：）由 fuzzify 于 2007-01-09, 10:50:57:

我想知道现在任何一个已经解决的数论问题，是否增进了我们对自然界的看法，或者说成是这种数论问题给我们带来何种契机去发现世界是怎么运作的。

所有跟贴:

数学比较特别，不同于其他学科。 - fuzzify (128 bytes) 2007-01-09, 15:54:53 (119490)
白痴！数量关系是这个宇宙的最基本运作关系之一。 (无内容) - xinku (0 bytes) 2007-01-09, 13:21:41 (119456)
- 我比你想象的更白痴！因为我不像你一样知道“整数性质”=“数量关系” (无内容) - sybil (0 bytes) 2007-01-09, 14:23:40 (119470)
  - they map to each others. (无内容) - steven (0 bytes) 2007-01-09, 15:33:03 (119486)
    - show us the mapping function then. ：） (无内容) - fuzzify (0 bytes) 2007-01-09, 16:21:19 (119495)
      - Number theory and quantum mechanics - 唐好色 (118 bytes) 2007-01-10, 01:05:40 (119560)
        
        Thanks. Glad to learn this stuff from you guys. - fuzzify (107 bytes) 2007-01-10, 11:28:39 (119617)
      - by definition, every element in a countable infinite set has - steven (35 bytes) 2007-01-09, 16:30:22 (119496)
        
        is [0,1] countable then? :) (无内容) - fuzzify (0 bytes) 2007-01-09, 16:42:07 (119497)
        
        if the set is rational, it is countable. If it is a set of real, it is not. (无内容) - steven (0 bytes) 2007-01-09, 16:43:03 (119498)
        
        Exactly. In real world, how can you ignore irrational ones (无内容) - fuzzify (0 bytes) 2007-01-09, 16:49:42 (119500)
        
        that's what I was trying to say: there is no 1-1 mapping between - fuzzify (26 bytes) 2007-01-09, 23:41:15 (119554)
        
        to be exact, the function should 1-1 or bidirectional. (无内容) - 匆匆过客 (0 bytes) 2007-01-09, 22:35:41 (119551)
        
        you already said integers is countable, but real numbers are not. - fuzzify (68 bytes) 2007-01-09, 21:44:44 (119543)
        
        typo: the cardinal of Real is Beth one. (无内容) - steven (0 bytes) 2007-01-09, 18:26:28 (119515)
        
        The real number, which is called continuum isn't a countable set. - steven (222 bytes) 2007-01-09, 17:58:25 (119510)
        
        ok. Anyway, there is no such mapping function between - fuzzify (32 bytes) 2007-01-09, 17:31:01 (119505)
        
        then again, in the real world, things are actually quantized. :) - steven (77 bytes) 2007-01-09, 17:10:19 (119503)
在通信里面有很多用途 - 借红灯 (16 bytes) 2007-01-09, 12:57:36 (119452)

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