Dr Michael A. Peters is one of the authors of the Book Pick: Showing and Doing: Wittgenstein as a Pedagogical Philosopher. In the following video, Dr Peters speaks about the problems of rationality. In particular, he posits that there is a change in the way that rationality is described from the before and after the turn of the 20th century. He attributes to Wittgenstein a role in this change. Specifically, prior to the 20th century, there was talk of a single rationality (a Western scientific mode); however, in the 20th century and into the 21st century, we must speak of many rationalities, since any mode of reasoning is a byproduct of concepts that are quite familiar to the reader of Wittgenstein. Modes of reasoning are the byproduct of communities of practice, disciplines, discourses, language games, forms of life, etc, which does allow on to reflect on the cultural practices and politics around different ways of reasoning. Please enjoy the video. Dr Peters explains this much better than I.