The presentation of analogical arguments in the critical thinking literature fails to reflect cognitive research on analogy. Part of the problem is that these treatments of analogy do not address counterarguments, an important aspect of the analysis of analogical argumentation. In this paper, I present a taxonomy of four counterarguments, false analogy, misanalogy, disanalogy, and counteranalogy, analyzed along two dimensions, orientation and effect. The counterarguments are treated in the framework of the multiconstraint theory of analogy (Holyoak and Thagard, 1995). This (...) framework is also extended to account for the evidence brought to light by the consideration of counterarguments. The result is a psychologically motivated treatment of analogical arguments that will be useful both for critical and pedagogical purposes. (shrink)