This paper presents reasons against semantic relativism. Semantic relativism is motivated by intuitions that are presumed to raise problems for traditional or contextualist semantics in contested domains of discourse. Intuition-based arguments are those based on competent speakers’ putative intuitions about seeming faultless disagreement, eavesdropper, and retraction cases. I will organize the discussion in three parts. First, I shall provide a brief introduction to the intuition-based arguments offered in favor of semantic relativism. Second, I shall indicate that there are ways for contextualism to explain the (appearance of) intuitions that support semantic relativism. Third, I shall review some experimental results and independent arguments that put into question the appeal of semantic relativism.