  This utterance would be infelicitous in a context where participants take for granted that Jill is thinking about the number two (even if in fact she is thinking about a table), and felicitous in a context where it is taken for granted that Jill is thinking about a table (even if in fact she is thinking about a the number two), so the Stalnakerian view predicts that presupposition failure patterns exactly with the infelicity characteristic of category mistakes. Moreover, the Stalnakerian approach seems to be particularly well-suited for explaining why the infelicity of category mistakes varies across a range of contextual settings. Consider, for example, the following: