Explore the foundations of Hindu Arabic numerals and their relationship to natural numbers in this 24-minute mathematics lecture. Delve into the concept of multiset orientation, connecting polynumbers and vexels to define and understand Hindu Arabic numerals beyond the range of primitive natural numbers. Learn how to apply these concepts to algebra and arithmetic, gaining a deeper understanding of fundamental mathematical structures. Discover the importance of careful definition and the interconnectedness of different aspects of mathematics in this insightful exploration of number systems and their representations.