Insights into Mathematics | New Directions for Mathematics Education and Research | Channel Trailer 2023 | N J Wildberger @njwildberger | Uploaded 1 year ago | Updated 11 hours ago
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 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 youtube.com/c/WildEggmathematicscourses.

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

Here are all the Insights into Mathematics Playlists:

Elementary Mathematics (K-6) Explained: youtube.com/playlist?
list=PL8403C2F0C89B1333
Year 9 Maths: youtube.com/playlist?list=PLIljB45xT85CcGpZpO542YLPeDIf1jqXK
Ancient Mathematics: youtube.com/playlist?list=PLIljB45xT85Aqe2b4FBWUGJdYROT6-o4e
Wild West Banking: youtube.com/playlist?list=PLIljB45xT85DB7CzoFWvA920NES3g8tJH
Sociology and Pure Mathematics: youtube.com/playlist?list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua
Old Babylonian Mathematics (with Daniel Mansfield): youtube.com/playlist?
list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
Math History: youtube.com/playlist?list=PL55C7C83781CF4316
Wild Trig: Intro to Rational Trigonometry: youtube.com/playlist?list=PL3C58498718451C47
MathFoundations: youtube.com/playlist?list=PL5A714C94D40392AB
Wild Linear Algebra: youtube.com/playlist?list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp
Famous Math Problems: youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvTIM7E-ir3nAOf
Probability and Statistics: An Introduction: youtube.com/playlist?list=PLIljB45xT85AMigTyprOuf__daeklnLse
Boole's Logic and Circuit Analysis: youtube.com/playlist?list=PLIljB45xT85CnIGIWb7tH1F_S2PyOC8rb
Universal Hyperbolic Geometry: youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
Differential Geometry: youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP
Algebraic Topology: youtube.com/playlist?list=PL6763F57A61FE6FE8
Math Seminars: youtube.com/playlist?list=PLBF39AFBBC3FB30AF
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