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On the Arithmetical Truth of Self-Referential Sentences
Theoria ( IF 0.3 ) Pub Date : 2018-10-26 , DOI: 10.1111/theo.12169 Kaave Lajevardi 1 , Saeed Salehi 2
Theoria ( IF 0.3 ) Pub Date : 2018-10-26 , DOI: 10.1111/theo.12169 Kaave Lajevardi 1 , Saeed Salehi 2
Affiliation
We take an argument of Godel'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.
中文翻译:
论自指句的算术真理
我们从哥德尔 1931 年开创性的论文中选取一个论证,对其进行概括,并检验其有效性。有问题的论点是这样的:句子 $G$ 关于它自己说它是不可证明的,而 $G$ 确实是不可证明的;因此,$G$ 为真。
更新日期:2018-10-26
中文翻译:
论自指句的算术真理
我们从哥德尔 1931 年开创性的论文中选取一个论证,对其进行概括,并检验其有效性。有问题的论点是这样的:句子 $G$ 关于它自己说它是不可证明的,而 $G$ 确实是不可证明的;因此,$G$ 为真。