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.
This channel was hacked some time ago, and I thank John Fries profusely for heroic efforts to get YouTube to reinstate the videos. However the first 200 videos or so are not yet recovered, and we are making efforts to get them back. I do thank also the YouTube teams for helping this move forward.
As such, the Playlists also need to be reconfigured. Thanks for your patience while this is being done.
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 discovered, developed, and applied to make a better framework for mathematics education; and this YouTube Channel, and our sister channel Wild Egg mathematics courses, is at the heart of this exciting restructuring.
A big thank you to all my Patreon supporters, and also to Members of the Wild Egg Maths channel at [ Ссылка ].
Video Contents:
00:00 Introduction to Insights into Mathematics
05:55 Pure maths (2023) does not work logically
14:33 "Real number arithmetic " is a dreaming
