Since its inception as a topic of inquiry, mirror-self-recognition has usually been explained by two models: one, initiated by Guillaume, proposes that mirror-self-recognition depends upon kinesthetic-visual matching, and the other, initiated by Gallup, that self-recognition depends upon a self-concept. These two models are examined historically and conceptually. This examination suggests that the kinesthetic-visual matching model is conceptually coherent and makes reasonable and accurate predictions; and that the self-concept model is conceptually incoherent and makes inaccurate predictions from premises which are themselves (...) inaccurate. From a theoretical standpoint, the kinesthetic-visual matching model is the better explanation of self-recognition. (shrink)