Mengzi and Zhuangzi lived around the same time in the mid-Warring States period of ancient China. The historical relation between them is unclear. There is no mention of each other in the texts named after them. But some authors have claimed that characterizations of deformed bodies, the heart-mind and qi in the Inner Chapters of the Zhuangzi are critical of Mengzi. We pose the following questions. First, was Zhuangzi aware of Mengzi (and vice versa)? Second, are there other cases where we can say with some confidence that a thinker is being criticized without being named? If so, is there some criterion that enables us to make the identification? Third, do the claims that Zhuangzi was critical of Mengzi adequately satisfy such a criterion? Addressing these questions will involve the analysis and interpretation of the relevant passages in both texts.