Is it a mistake to believe that there is a priori knowledge, that some truths are analytic or conceptually true, that analyticity and a priority are coherent notions and can be explanatory or otherwise philosophically valuable? If so, that is one interesting mistake! The limits of the human intellect have been a dominant preoccupation since the dawn of philosophy. Kant’s wedge between the analytic and the a priori has been a blow to the Modern “dogmatic” philosophical enterprise of uncovering the conceptual basis of metaphysics, Quine’s revival of the notion that analyticity is a dogmatic ideal, and Kripke’s analytic a posteriori are pivotal examples of philosophical skepticism drawn by these notions and the projects they underpin. Arguably the most fruitful, far reaching and daring confrontation with the question of the limits of the intellect is the attempt to establish the logical or analytic basis of mathematics. But even establishing that mathematics is analytic in its core would not address but shift the question about the nature of its a priority. In this course we will look closely at these tensions and questions.