It is clear that Migash was a great scholar: Maimonides in the introduction to his Mishnah commentary says "the Talmudic learning of this man amazes every one who understands his words and the depth of his speculative spirit; so that it might almost be said of him that his equal has never existed." Judah ha-Levi eulogizes him in six poems which are full of his praise. Joseph ibn Migash's best known student is probably Maimon, the father and teacher of Maimonides. In Maimonides' Introduction to his Mishnah commentary, he heaps lavish praises upon Rabbi Joseph ibn Migash (Halevi), saying of him: "“I have collected what I stumbled across from the glosses of my father, of blessed memory, as well as others under the name of our Rabbi Joseph Halevi, of blessed memory; and as the Lord lives, the understanding of that man in the Talmud is astounding, as anyone see who observes his words and the depth of his comprehension, until I can say of him that 'there has never been any king like unto him before him'" (cf. 2 Kings 23:25) "in his method elucidation. I have also collected all of the legal matters (Heb. "halachot") that I found that belonged to him in his commentaries, themselves.”"