Relevance in reasoning

This essay explains an approach to relevantization of logical reasoning that seeks to maximize epistemic gain. It does so by retaining Disjunctive Syllogism, and making admissible only a restricted rule of Cut. The virtue of this approach is that one can show that the resulting relevant logic is adequate for mathematics and science. In the course of explaining this kind of relevant logic, we compare and contrast our approach with the Anderson-Belnap tradition.