A System for Naming Bases: A Fun and Quirky Way to Refer to Numbering Systems

TLDRThis video presents a system for naming bases that provides base-neutral names for different numbering systems. The system uses factorization and multiplicative prefixes to create unique names for each base. It also includes abbreviations for easier reference.

Key insights

🔢The system uses factorization and multiplicative prefixes to generate unique names for each base.

🧩The system incorporates roots and prefixes from Latin and Ancient Greek to create a comprehensive and consistent naming system.

👥The system also includes abbreviations for easier reference and use in everyday conversations.

Naming bases based on their factorization provides useful information about the properties and characteristics of each numbering system.

📝The system can be extended to include non-integer bases, negative bases, and even rational number bases.

Q&A

What is the purpose of this base-naming system?

The purpose is to provide base-neutral names for different numbering systems, making it easier to refer to them accurately and consistently.

How are the names generated?

The names are generated using factorization, incorporating roots and prefixes from Latin and Ancient Greek, and following specific guidelines for abbreviation.

Why is it important to have base-neutral names?

Base-neutral names eliminate confusion and ambiguity when referring to different numbering systems, especially in contexts where multiple bases are discussed.

Can this system be used for irrational number bases?

No, the system is designed for positive integer bases. However, it can be extended to include rational number bases.

Are there any limitations to this system?

The system may result in long names for larger bases, but the inclusion of abbreviations helps to mitigate this limitation.

Timestamped Summary

00:00Introduction and overview of the base-naming system

07:26Naming bases using a combination of Latin-derived names and factorization

10:58Abbreviating the base names for ease of reference

13:19Overview of the abbreviation algorithm for determining unique abbreviations for each base