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Explore the fascinating intersection of probability theory, communication theory, and combinatorics in this Richard M. Karp Distinguished Lecture delivered by Jacob Fox from Stanford University. Delve into the groundbreaking work of Paul Erdős and Claude Shannon, two giants in their respective fields, and discover how their contributions have shaped modern mathematics and information theory. Learn about the profound connections between seemingly disparate areas of study and gain insights into the elegant solutions these brilliant minds developed to tackle complex problems. Uncover the lasting impact of Erdős and Shannon's research on contemporary mathematics, computer science, and communication systems.