当前位置: X-MOL 学术Journal of Philosophical Logic › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Designing Paradoxes: A Revision-theoretic Approach
Journal of Philosophical Logic Pub Date : 2022-01-14 , DOI: 10.1007/s10992-021-09649-x
Ming Hsiung 1
Affiliation  

According to the revision theory of truth, the binary sequences generated by the paradoxical sentences in revision sequence are always unstable. In this paper, we work backwards, trying to reconstruct the paradoxical sentences from some of their binary sequences. We give a general procedure of constructing paradoxes with specific binary sequences through some typical examples. Particularly, we construct what Herzberger called “unstable statements with unpredictably complicated variations in truth value.” Besides, we also construct those paradoxes with infinitely many finite primary periods but without any infinite primary period, those with an infinite critical point but without any finite primary period, and so on. This is the first formal appearance of these paradoxes. Our construction demonstrates that the binary sequences generated by a paradoxical sentence are something like genes from which we can even rebuild the original sentence itself.



中文翻译:

设计悖论:一种修正理论方法

根据真值修正理论,由修正序列中的悖论语句生成的二进制序列总是不稳定的。在本文中,我们向后工作,试图从它们的一些二进制序列中重建矛盾的句子。我们通过一些典型的例子给出了构造具有特定二进制序列的悖论的一般过程。特别是,我们构建了赫茨伯格所说的“具有不可预测的复杂真值变化的不稳定陈述”。此外,我们还构造了具有无限多个有限初级周期但没有任何无限初级周期的悖论,具有无限临界点但没有任何有限初级周期的悖论,等等。这是这些悖论的第一次正式出现。

更新日期:2022-01-16
down
wechat
bug