New Directions for Mathematics Education and Research | Channel Trailer 2023 | N J Wildberger

Welcome to “Insights into Mathematics“ -- a YouTube channel devoted to careful explanation of a wide range of mathematical topics, in detail and with lots of examples. From N J Wildberger, Honorary Professor at the University of New South Wales (UNSW) in Sydney Australia, and an unorthodox voice advocating a much stronger logical structure and re-evaluation of many standard topics. In this video, you get an overview of the Channel, along with a summary of my concerns about modern pure mathematics research, and some specific examples of why the current orthodoxy doesn’t really work, despite huge amounts of wishful thinking on the part of the professoriate. A key point is that our connection with computational reality is ever-widening, and getting to the point of being stretched way to far. Ultimately our conceptual theories, no matter how abstract, have to be translatable into computational form. There IS a new, more logical, and coherent mathematics out there waiting to be disc