Critical thinking is often nominated as a graduate attribute, a learning outcome, and is even offered as a discrete subject in schools and universities. Therefore, it is important to gain clarity about the fundamental goal or purpose of critical thinking education. What should instructors be aiming at when they seek to instil critical thinking in their students? In this paper, we argue that the aim of critical thinking is the achievement and maintenance of intellectual autonomy. In setting out our argument for this conclusion, we investigate the three most plausible candidates for the goal of critical thinking practice. The first such candidate is successful inquiry: inquiry that succeeds in obtaining epistemic goods such as knowledge, true belief, or empirically adequate explanation. The second candidate is epistemically virtuous inquiry, i.e. inquiry that exhibits the full range of epistemic virtues, including the skills and capacities needed to support them. The third candidate is intellectual autonomy. We develop an account of intellectual autonomy as a form of self-respect attached to one's epistemic and intellectual life and argue that only intellectual autonomy in this sense does full justice to the practice of critical thinking.