Hyperoperations and Even Bigger Numbers - Data Structures in Mathematics

Explore the fascinating world of hyperoperations and large number arithmetic in this 22-minute mathematics video. Delve into the extension of arithmetical operations beyond addition, multiplication, and exponentiation to include triangle, square, and inductively defined operations for any natural number. Discover the concept of a diagonal limit operation, opening up new possibilities in arithmetic. Learn about the remarkable successor limit hierarchy that allows for arithmetic far beyond conventional understanding. Gain insights into these advanced mathematical concepts without reaching infinity, as the video emphasizes there is no such place. Enhance your understanding of data structures in mathematics and expand your knowledge of big number arithmetic through this thought-provoking exploration.

Introduction
Msquare
Exercise
Oneupmanship
Diagonal limit
Star infinity
Square operations