This chapter proceeds from the standard picture of the relation between intuitions and experimental philosophy: the alleged evidential role of intuitions about hypothetical cases, and experimental philosophy’s challenge to these judgments, based on their variation with philosophically irrelevant factors. I will survey some of the main defenses of this standard picture against the x-phi challenge, most of which fail. Concerning the most popular defense, the expertise defense, I will draw the bleak conclusion that intuitive expertise of the envisaged kind is (...) largely a myth. Next, I will consider the mischaracterization objection, which has mainly been developed by Deutsch and Cappelen on the basis of textual evidence: that philosophers do not appeal to intuitions as evidence for their case judgments, but instead argue for them. This would render the x-phi challenge mostly irrelevant, due to its focus on intuitions about hypothetical cases. I will then consider a few instructive replies to the mischaracterization objection, which are all unconvincing on further inspection. Finally, I will discuss some potential normative consequences of the mischaracterization objection, and I will argue that it recommends a shift away from the excessive focus on intuitions about cases in metaphilosophy and experimental philosophy, towards more work on the role of argumentation in the method of cases. More speculatively, I claim that philosophers should always argue for their case judgments, even if they have strong intuitions about them, because an argument-based methodology would be more transparent and philosophically fruitful than one that mainly relies on intuition. (shrink)