关于R-Mingle和安全危险的说明

A. Tedder
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引用次数: 3

摘要

Dunn最近提出,R-Mingle(或RM)逻辑对于相关逻辑和副一致逻辑的许多目的来说是一个很好的、足够好的选择。这包括一个论点,即安全原则的有效性,根据该原则,人们可以从任意矛盾中推断出排除中间律的任意实例,在RM中不是一个问题,因为它不允许人们从矛盾中推断出任何新的东西。在本文中,我认为,虽然邓恩的主张适用于逻辑,但有一个很好的理由认为,在逻辑下关闭的(素数)理论并非如此,这应该让相关主义者和一些副一致性主义者在考虑RM是否足以满足他们的目的时停下来。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Note on R-Mingle and the Danger of Safety
Dunn has recently argued that the logic R-Mingle (or RM) is a good, and good enough, choice for many purposes in relevant and paraconsistent logic. This includes an argument that the validity of Safety principle, according to which one may infer an arbitrary instance of the law of excluded middle from an arbitrary contradiction, in RM is not a problem because it doesn’t allow one to infer anything new from a contradiction. In this paper, I argue that while Dunn’s claim holds for the logic, there is a good reason to think that it’s not the case for (prime) theories closed under the logic, and that this should give relevantists, and some paraconsistentists, pause when considering whether RM is adequate for their purposes.
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