Dr. Wildberger is notorious for having non-standard ideas about mathematics, including not believing in irrational numbers, etc. The ire that Pythagoreans had towards irrational numbers is still alive and well in Australia!<p>I recommend checking out his Youtube Channels. He is an excellent lecturer, who is able to communicate complex ideas in a very clear way. The cherry on the top is that it is so fun to listen to his nonstandard ideas, which he can and does advicate for in a very powerful way.<p>Even if you believe in irrational numbers (as I do!) it is good to examine and re-examine the things you are cock-sure about.
Article titled <i>A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode</i> in American Mathematical Monthly <a href="https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966" rel="nofollow">https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2...</a>