论自指句的算术真
On Arithmetical Truth of the Self-Referential Sentences
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。