In the canon of relevant logic—Entailment, Relevant Logics and Their Rivals, Directions in Relevant Logic—space has typically been made for acknowledging containment logics in the style of W.T. Parry or R.B. Angell. Although containment logics’ satisfaction of the relevant logics’ key variable-sharing criterion and are thus relevant, the tenor of such acknowledgement has typically been strained—ranging from grudging to adversarial. This familial estrangement has prevented the relevantist from reaping the fruits offered by her cousin, of course. I would like to suggest in this note that the fruits are not meager—especially in light of current work on the theory of subject-matter—and that the containment logician might have some worthwhile words of advice with respect to variable-sharing.

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A Topic-Theoretic Perspective on Variable-Sharing (from the Black Sheep of the Family)

  • Thomas M. Ferguson

摘要

In the canon of relevant logic—Entailment, Relevant Logics and Their Rivals, Directions in Relevant Logic—space has typically been made for acknowledging containment logics in the style of W.T. Parry or R.B. Angell. Although containment logics’ satisfaction of the relevant logics’ key variable-sharing criterion and are thus relevant, the tenor of such acknowledgement has typically been strained—ranging from grudging to adversarial. This familial estrangement has prevented the relevantist from reaping the fruits offered by her cousin, of course. I would like to suggest in this note that the fruits are not meager—especially in light of current work on the theory of subject-matter—and that the containment logician might have some worthwhile words of advice with respect to variable-sharing.