The hypothesis used in this doctoral thesis is that the understanding of Derrida’s notion of (counter) is fundamental to understanding Derrida’s thoughts concerning the university and its relation to philosophy. The analysis asserts that the thought of Derrida on the University is an offshoot of (ethics of aporia) which for us is remarkable in Derrida’s intellectual development. In the first chapter we address the relationship between ideas (counter-institution) and (deconstruction). In the second chapter we focus on the relationship between deconstruction and teaching. The third chapter will show how Derrida develops the idea of loyalt y to the University. This definition of Fidelity is far from ordinary, because this loyalty operates in the logic of (with-against). In the fourth chapter we deal with the deconstructivist aspect of contemporary University. Our research is based on the writings of Derrida on the University, discipline philosophy and the Faculty of Philosophy, meeting in the famous book Du Droit a La Philosophie. As Derrida himself points out in some texts that we will encounter throughout this work, the (counter), the (opposition) implies a movement (with-against), a turning around and away from, a measure of distance and proximity .When Derrida drops the term (counter or opposed) of the ordinary meaning of term, we understand this to be a movement against the institutional-Derrida in relation to institutions and more specifically to the institution of the University. We call the institution imagined by Derrida the (counter-institution). This aspect of the counter-institution can also be viewed as a component of the (ethics of aporia) developed by Derrida. We address this in the conclusion of thesis.