Some students are not convinced that a proof by mathematical induction is a proof. I have given the analogy of dominoes toppling but still some remain unconvinced. Is there very convincing way of introducing mathematical induction? I need something which will have an impact. Are there any real life applications of induction?
Answer
Use the analogy of dominoes, and then give the real-life example of the sinking of the Titanic: The management of the Titanic realized that the ship was doomed when they realized that the bulkhead that was being flooded would be completely flooded, and that when a given bulkhead was completely flooded, the next bulkhead would undergo the same fate.
Talk about impact...
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