Alternative Conventions, Alternative Logics
Logical conventionalism leads to logical pluralism. The chapter discusses various arguments for pluralism, based on more and less demanding principles of translation. The crucial problem case of a tonk language is discussed in detail and related to various philosophical points and distinctions from the previous chapters. The chapter also provides a general account of logical and conceptual pluralism in terms of structural inferential role or semantic counterparts. This machinery is then applied to give a conventionalist-friendly account of equivalence between logics. The chapter closes by distinguishing between different types of disagreements in the philosophy of logic – descriptive disputes, normative disputes, and metaphysical disputes. Together chapters 3, 4, and 5 constitute a full development of an inferentialist-conventionalist theory of logic.