| 不可能只用Peano公理组证明3x+1猜想 |
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| 引用本文： | 王世强,史璟,杜文静.不可能只用Peano公理组证明3x+1猜想[J].前沿科学,2008,2(3). |
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| 作者姓名： | 王世强 史璟 杜文静 |
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| 作者单位： | 1. 北京师范大学数学学院,北京,100875
2. 南开大学哲学系,天津,300071 |
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| 摘 要： | 在本文中,我们用模型论方法证明了:存在一个Peano公理组的模型,在其中3x+1猜想不成立.从而可知:不可能只用Peano公理组证明3x+1猜想.
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| 关 键 词： | 3X+1猜想 模型论 |
It is impossible to prove the 3x+1 Conjecture by using Peano Axioms only |
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| Wang Shiqiang,Shi Jing,Du Wenjing.It is impossible to prove the 3x+1 Conjecture by using Peano Axioms only[J].Frontier Science,2008,2(3). |
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| Authors: | Wang Shiqiang Shi Jing Du Wenjing |
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| Abstract: | In this article we prove by Model-theoretic method that there exist a Model of Peano Axioms in which the 3x+1 conjecture Fails. Hence we know that it is impossible to prove the 3x+1 Conjecture by using Peano Axioms only. |
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| Keywords: | 3x+1 conjecture model theory |
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