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This 14-minute mathematics video explores the fascinating concept of constructing a path that avoids every rational number. Learn about the properties of rational and irrational numbers as Michael Penn demonstrates how to "take a walk" through the number line while completely missing all rational points. Discover the mathematical principles behind this counterintuitive possibility, with clear explanations that illuminate the density of rational numbers and the nature of continuous paths. Perfect for math enthusiasts interested in number theory and the surprising properties of infinite sets.
