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arXiv 1607.04055math.LO
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论自指句的算术真

On Arithmetical Truth of the Self-Referential Sentences

Kaave Lajevardi, Saeed Salehi

摘要:

我们从哥德尔1931年的开创性论文中选取一个论点,对其进行推广,并检验其有效性。这里讨论的论点是这样的:句子$G$说它本身是不可证明的,而$G$确实是不可证明的;因此,$G$是真的。

英文摘要:

We take an argument of Gödel's from his ground-breaking 1931 paper, generalize it, and examine its validity. The argument in question is this: the sentence $G$ says about itself that it is not provable, and $G$ is indeed not provable; therefore, $G$ is true.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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