Explore the fundamental data structures in mathematics through this 35-minute video lecture. Learn about the four basic types of data structures: lists, ordered sets, multisets, and sets. Discover how these structures differ in terms of order and repetition, and understand their importance in organizing mathematical objects. Gain insights into a new conventional notation that simplifies the recognition and distinction of these data types. Particularly relevant for computer scientists, this lecture provides a solid foundation for understanding how mathematical objects are organized and manipulated.