What I argue in this article is neither new nor very original, but important, in my opinion, for the organization of the political space and for the intellectual work of each person. I try to defend epistemological pluralism, that is, that problems and things have facets, different faces, and that there are different ways to think about them. At the same time I want to reject relativist skepticism and vulgar pragmatism, with which this view is frequently associated. The rejection of (...) scientific foundationalism or of ethical fundamentalism does not necessarily lead to relativist skepticism. With the help of the best pragmatist tradition, it is possible to try a compromise that supports fallibilism without resorting to skepticism and cooperative pluralism. A pluralist pragmatism holds —with Hilary Putnam— that there is nothing such as a privileged vision of man and the world offered by the Science. Sciences, on the contrary, are cooperative and communicative human activities through which we humans really progress, not without having doubts or making mistakes, in our understanding of the world and ourselves. It is argued that non-relativist pluralism is not only one of the best results of contemporary scientific research but also is an indispensable requirement to achieve a truly democratic social organization. -/- My paper is divided in three sections. Firstly, pragmatism is briefly discussed; secondly, the connection between relativism, "vulgar pragmatism" and the so-called "neopragmatism" is described; and finally, I will offer an explanation of why the pluralism, which is the legacy of the best pragmatism, is not relativist. (shrink)