模态逻辑中波特规则的观察

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2015-01-01 DOI:10.18778/0138-0680.44.1.2.04

Rohan French, L. Humberstone

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引用次数: 4

摘要

众所周知，没有一致的正态模态逻辑(作为定理)同时包含- A和- α(对于任何公式A)。在这里，我们观察到这一论断可以加强为:对于任何公式A，要么没有一致的正态模态逻辑包含- α，要么没有一致的正态模态逻辑包含- α。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Observation Concerning Porte’s Rule in Modal Logic

It is well known that no consistent normal modal logic contains (as theorems) both ◊A and ◊¬A (for any formula A). Here we observe that this claim can be strengthened to the following: for any formula A, either no consistent normal modal logic contains ◊A, or else no consistent normal modal logic contains ◊¬A.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks