The Death of Logic?

Abstract

In support of logical nihilism, according to which there are no logical laws, Gillian Russell offers purported counterexamples to two laws of logic. Russell’s examples rely on cleverly constructed predicates not found in ordinary English. I show that similar apparent counterexamples to the same logical laws can be constructed without exotic predicates but using only what ordinary language provides. We correctly analyze such arguments so that they do not actually constitute counterexamples to any logic laws. I claim that we can and should do the same for Russell’s arguments.