计算机科学 ›› 2023, Vol. 50 ›› Issue (6A): 211100070-5.doi: 10.11896/jsjkx.211100070
段天龙
DUAN Tianlong
摘要： 使用对角线方法不仅能得到数理逻辑的基本定理,也能导致逻辑悖论。通过对达米特的不定可扩展性概念及其与对角线方法的关联的考查,指出:1)西蒙斯没有将不定可扩展性概念与对角线方法关联起来,所以其关于对角线论证不同类型的划分只是表面的;2)汤姆逊对角线引理并没有刻画出对角线方法的实质;3)对某概念可以使用对角线方法当且仅当该概念是不定可扩展的;4)使用对角线方法可以发现不定可扩展性概念,从而为刻画自然语言的动态语义模型提供思路。
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