The Hindu Arabic Number System Revisited - Data Structures in Mathematics Math Foundations

Explore the foundations of arithmetic and the Hindu Arabic number system in this 30-minute mathematics lecture. Delve into three important approaches to setting up Hindu Arabic numerals, examining how natural numbers can be defined in intrinsically different ways. Learn about the most mathematically fundamental definition of natural numbers as multisets of marks, and contrast this with the practical Hindu Arabic representation. Gain insights into the profound implications of these different approaches for understanding arithmetic and number theory.

Introduction
Natural numbers
Primitive natural numbers
Short forms for primitive natural numbers
Hindu Arabic arithmetic
Natural number example
Hindu Arabic number system
Addition and multiplication
Multisets