Although a Two-Minds Christology—whereby Jesus has a human mind in addition to his divine mind in the Incarnation—is arguably the traditional view, it has been challenged by what I call the Cartesian Intuition, which equates a person with a consciousness. Thus, some kenoticists, like William Lane Craig, object that a Two-Minds Christology is a form of Nestorianism, the heresy that there are two persons in the Incarnation—the merely human Jesus with his own mind and the fully divine God the Son with his own mind. However, I argue that the Two-Minds Christology can comport with a version of the Cartesian Intuition. First, I show that the Cartesian Intuition cannot be easily dismissed since we rely upon it for a variety of personhood puzzles, including the Holy Spirit. Second, I briefly characterize and biblically justify the Two-Minds Christology. Finally, I modify the Cartesian Intuition in two ways to comport with the Two-Minds Christology, one epistemological and the other using disjunctive properties that, ironically, some kenotic Christologists employ. Thus, the Two-Minds Christology can reconcile both the Cartesian Intuition and theological commitments—like the extra Calvinisticum—better than kenotic Christology.