When Numbers Break Down (and How to Fix It)
The final video is the Fermatrilogy (yep that's what I'm calling it) is here! This video explores the aftermath of the supposed "proof" covered in the last video and shows just how the mathematicians at the time tried to fix it by delving into some pretty serious abstract algebra! Now that this trio of videos is out, I'm not quite sure what to do next, so if you have any video requests then please do let me know! Special shoutout to @יעקבאסייג-ז3כ , @MoiraLachesis , @darthvecna , @quadibloc2 for all spotting the mistake and providing a nice explanation for why the proof is flawed! 0:00 Intro to UFDs 4:52 Rings Recap 6:00 The Ideal Solution Songs used (I swear I'm not sponsored by Nintendo): Bubblaine (SMO OST) - • Bubblaine - Super Mario Odyssey OST Steam Gardens (SMO OST) - • Steam Gardens - Super Mario Odyssey OST Tostarena: Ruins (SMO OST) - • Tostarena: Ruins - Super Mario Odyssey OST Lake Lamode (SMO OST) - • Lake Lamode 1 - Super Mario Odyssey OST #maths #mathematics #math #ideas #ring #domainexpansion

We're 99.9% sure this pattern is true, but no one can prove it

Something strange happens when you "bump the base"

(Co)Products: motivating category theory

Researchers thought this was a bug (Borwein integrals)

What happens if you just keep squaring?

How Light Travels Without Moving: The Feynman Reality Check

The Collatz Multiverse

There's an EASIER proof of Fermat's Last Theorem

The Simplest Ancient Math Problem No One Could Solve

Russell's Paradox - a simple explanation of a profound problem

Why AI Can Never Escape Turing's 1936 Proof

The Conway Multiverse

Don't Hang Up On AI Scammers. Do THIS Instead.

The hidden logic behind #, @, & and §

The Most Controversial Idea In Math

Bertrand's Paradox (with 3blue1brown) - Numberphile

Why π^π^π^π could be an integer (for all we know!).

Is this the WORST Math Homework Ever?

The Simplest Math Problem No One Can Solve - Collatz Conjecture

