免疫逻辑没有那么免疫

IF 0.6 Q2 LOGIC Logic and Logical Philosophy Pub Date : 2022-10-25 DOI:10.12775/llp.2022.029

J. J. Joaquin

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引用次数: 0

摘要

Da r和Szmuc认为，虽然“感染”和“免疫”逻辑之间存在对称性，但这种对称性并不适用于用免疫或感染元素扩展代数。在本文中，我证明了对称也不能从给定的一组基本(布尔)操作中定义一个新的逻辑操作。我用材料条件句来说明这一点。

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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Immune Logics ain't that Immune

Da Ré and Szmuc argue that while there is a symmetry between ‘infectious’ and ‘immune’ logics, this symmetry fails w.r.t. extending an algebra with an immune or an infectious element. In this paper, I show that the symmetry also fails w.r.t. defining a new logical operation from a given set of primitive (Boolean) operations. I use the case of the material conditional to illustrate this point.

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