Entropy and Diversity: The Axiomatic Approach

Explore a comprehensive lecture that delves into the mathematical foundations of measuring diversity across multiple disciplines, from ecology to genetics and economics. Learn how the 70-year debate on quantifying diversity connects to information entropy and discover the mathematical depth behind these measurements. Understand the unifying concept of magnitude in enriched categories and its relationship to maximum community diversity. Examine the interconnections between entropy, diversity, and magnitude through a high-level overview that bridges theoretical concepts with practical applications in various scientific fields.