Volume 42, 2017
Ching Hui Su
Context and Logical Consequence
It is commonly agreed that logic studies the form of arguments and that the concept of a consequence relation is based on the idea of truth-preservation in all models. Based on some observations about arguments involving conditionals, Brogaard and Salerno argue that the consequence relation should be defined in terms of truth-preservation within one fixed context. I will argue that Ichikawa’s contextualism for counterfactuals can be treated as an elucidation of what they have in mind. Instead of standing for or against Stalnaker’s or Lewis’s semantics of counterfactuals, I will argue that the key to explaining the phenomena in question is the concept of a consequence relation. To support the point above, logical contextualism or relativism will be introduced and defended. I thus suggest that the concept of a consequence relation is sensitive to the context in which a certain argument is asserted.