Abstract
Martin Heidegger's philosophy is famous for being unusually rich. It ranges over technology, poetry, theology, history, and many other subjects. In this paper, I focus my attention on two topics which are particularly close to the hearts of analytic philosophers: logic and language. I show that Heidegger faces two different kinds of paradoxes: an ontic paradox and an ontological paradox. Moreover, for each one of these paradoxes, I give an overview of how both Heidegger and the philosophers who engage with his thought have tried to overcome them by challenging either a certain account of language or the authority of logic in philosophical discourse.