Explore a comprehensive 28-minute video lecture that delves into the reconciliation of thermodynamic and state definitions of entropy. Gain a deep understanding of why entropy is considered a measure of the number of states a system can take on through a mathematically rigorous yet mind-expanding explanation. Follow along as Sal Khan guides you through this complex topic, offering clear insights and explanations. Discover how this lesson fits into the broader context of thermodynamics and the laws that govern it. Prepare to challenge your understanding of physics and expand your knowledge of fundamental concepts in thermodynamics.