Some Concerns Regarding Ternary-relation Semantics and Truth-theoretic Semantics in General

Ross T. Brady
2017 IfColog journal of logics and their applications (FLAP)  
Are you wondering about when and where the Second and the First workshops took place? Well, we should probably explain why the first workshop is the Third. Since 2014, we have been working on a research project (under the umbrella of an Insight Grant) entitled "The third place is the charm: The emergence, the development and the future of the ternary relational semantics for relevance and some other nonclassical logics." To make a long story short, we took the salient word from the long title
more » ... the project to create a short catchy brand for the workshop. The "third place" refers to the third argument place of a three-place relation, specifically, the third argument place of the ternary accessibility relation in the semantics of relevance logics. In the contemporary literature, this semantics is often referred to as "the Routley-Meyer semantics" of relevance logics. The idea of using a ternary relation, instead of the familiar binary relation from the so-called Kripke semantics for modal logic, is fascinating. Our own paper in this collection is an attempt to give an outline of the history while we also aim at describing the variations of the semantics that several logicians produced (quite independently from each other). 1 We give the latter descriptions by "translating" all the semantics into a The support of the Insight Grant #435-2014-0127, awarded by the Social Sciences and Humanities Research Council of Canada, is gratefully acknowledged. 1 In addition to what we say in our paper in this proceedings about L. L. Maksimova's work on relational semantics, we wrote [11] concerning her contributions to relevance logics more generally.
dblp:journals/flap/Brady17 fatcat:dbhyqmbfczc43c2kwnxbrh4lv4