Nimbers (Part 2) - Leveling the Playing Field

The nimbers hold beautiful connections between the worlds of game theory and abstract algebra.

This is the third part in a mini-series on game theory. Watch the whole series here: https://www.youtube.com/playlist?list=PLH5zdqQODdBiGrWszPScMO2Dvp0Ix_vpV

Reference: http://www.neverendingbooks.org/on2-conways-nim-arithmetics

Sections:
0:00 Intro
1:30 Division
3:38 Multiplication (but faster)
5:49 Division revisited
7:56 Square roots
9:30 Transfinite ordinals
12:03 Algebraic closure
13:17 Recap
14:26 Surreal numbers