The dissertation The conception of contingency in Richard Rorty intends to present the conception of contingency in Richard Rorty's thought, which is especially developed in his book Contingency, Irony and Solidarity (1989). The first chapter will discuss the contingency of language, the second, the contingency of selfhood, and the third, the contingency of a liberal community. From this point, the fourth chapter will comprise the presentation of some reflections and criticisms concerning the comprehension of contingency. Our goal is to outline a discussion with the author to lead to a better understanding on the issue. Thus the questions will be related to the values defended by Rorty in his liberal utopia, and analyze if we can in fact deduce them from the comprehension of contingency of language and selfhood.