Negative Numbers from Antimultisets - Math Foundations 231

Explore the concept of negative numbers derived from antimultisets in this 39-minute mathematics lecture. Delve into a new arithmetic system based on multisets, drawing parallels with particle physics concepts such as antiparticles and mutual annihilation. Discover how the idea of "particle/anti-particle creation from the vacuum" applies to this novel arithmetic approach. Follow along as the lecturer investigates the implications of adopting antisymmetry in mset-based arithmetic, acknowledging the exploratory nature of the discussion. Examine topics including the antimultiset, native numbers, consequences, possible implications, and alternative derivations. Learn about the mCarrot concept, addition and multiplication within this system, and gain a fresh perspective on negative numbers. While not claiming logical completeness, this lecture offers intriguing insights into a potentially revolutionary approach to mathematical foundations.

Introduction
The antimultiset
Native numbers
Consequences
Possible Implications
Another derivation
Antim
Carrot
Addition and Multiplication
Negative Numbers