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What is a Relevant Connective?
Journal of Philosophical Logic Pub Date : 2022-04-09 , DOI: 10.1007/s10992-022-09655-7
Shawn Standefer

There appears to be few, if any, limits on what sorts of logical connectives can be added to a given logic. One source of potential limitations is the motivating ideology associated with a logic. While extraneous to the logic, the motivating ideology is often important for the development of formal and philosophical work on that logic, as is the case with intuitionistic logic. One family of logics for which the philosophical ideology is important is the family of relevant logics. In this paper, I explore the limits of what a relevant connective is, showing how some basic criteria motivated by the ideology of relevant logicians provide robust limits on potential connectives. These criteria provide some plausible necessary conditions on being a relevant connective.



中文翻译:

什么是相关连接词?

对于可以将哪些类型的逻辑连接词添加到给定的逻辑,似乎几乎没有限制(如果有的话)。潜在限制的一个来源是与逻辑相关的激励意识形态。虽然与逻辑无关,但激励意识形态通常对于发展关于该逻辑的形式和哲学工作很重要,就像直觉逻辑一样。哲学意识形态对其很重要的一个逻辑家族是相关逻辑家族。在本文中,我探讨了相关联词的局限性,展示了由相关逻辑学家的意识形态所激发的一些基本标准如何为潜在的联词提供强有力的限制。这些标准为成为相关连接词提供了一些似是而非的必要条件。

更新日期:2022-04-09
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