This paper examines the recent literature on meta-cognitive processes in non-human animals, arguing that in each case the data admit of a simpler, purely first-order, explanation. The topics discussed include the alleged monitoring of states of certainty and uncertainty, knowledge-seeking behavior in conditions of uncertainty, and the capacity to know whether or not the information needed to solve some problem is stored in memory. The first-order explanations advanced all assume that beliefs and desires come in various different strengths, or degrees.