The Journal of Philosophy

Volume 114, Issue 6, June 2017

Logic for Alethic Pluralists

There have been few attempts to answer the twin challenges for alethic pluralists to maintain standard accounts of the logical operators and of logical consequence in a sufficiently systematic and precise way. In this paper, I propose an account of logic and semantics on behalf of pluralists that answers both challenges in a sufficiently systematic and precise way. Crucially, the account accommodates mixed atomics, and its first-order extension also accommodates quantified sentences. Accordingly, pluralists can answer all the distinctively logical challenges for their view.