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INEFFABILITY AND REVENGE
The Review of Symbolic Logic ( IF 0.9 ) Pub Date : 2018-12-27 , DOI: 10.1017/s1755020318000473
CHRIS SCAMBLER

In recent work Philip Welch has proven the existence of ‘ineffable liars’ for Hartry Field’s theory of truth. These are offered as liar-like sentences that escape classification in Field’s transfinite hierarchy of determinateness operators. In this article I present a slightly more general characterization of the ineffability phenomenon, and discuss its philosophical significance. I show the ineffable sentences to be less ‘liar-like’ than they appear in Welch’s presentation. I also point to some open technical problems whose resolution would greatly clarify the philosophical issues raised by the ineffability phenomenon.

中文翻译:

不可言喻和复仇

在最近的工作中,菲利普·韦尔奇证明了哈特里·菲尔德的真理论存在“不可言喻的骗子”。这些被提供为类似骗子的句子,这些句子在 Field 的确定性运算符的超限层次结构中逃脱了分类。在本文中,我对不可言说现象进行了更一般的描述,并讨论了它的哲学意义。我展示了这些不可言喻的句子不像韦尔奇的演讲中出现的那样“像骗子”。我还指出了一些开放的技术问题,这些问题的解决将极大地阐明由不可言喻现象引发的哲学问题。
更新日期:2018-12-27
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