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Mathematics

Mathematical Induction and Its Variants: Strong and Structural Induction

Quick fact

Mathematical induction lets you prove infinitely many statements in one fell swoop: you show that if any one domino falls, the next one falls too, and then you tip the first one. This single principle is equivalent to the well-ordering property of the natural numbers.

Why this is interesting

You know that a row of dominoes will all fall if you tip the first one—but how do you prove that the entire infinite row falls without ever checking each domino?