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'To Infinity and Beyond': What is Transfinite Induction?
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"To Infinity and Beyond" may feel a bit childish mathematically, well, that is until you learn more about ordinals and different sizes of infinity. One way this comes up in proofs is with Transfinite induction arguments. So, what is Transfinite Induction? Here we introduce the topic and go through a transfinite induction proof of something that, although there is a much simpler solution, generalizes the possibilities for a set that satisfies the conditions.
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