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Spaced proof review as a way to invent novel proofs

From Issawiki (static archive)

one of the great things about proof cards is that when you prove something after months of not seeing it, you sometimes come up with a novel proof (creative forgetting)! this happened with one of my group theory proofs, to prove that a nonempty subset of a finite group that is closed under multiplication is a subgroup. the proof walkthrough in pinter's book does an artificial bijection type thing, whereas i found it much more natural to consider the sequence x, x^2, x^3, ... and then to show that it's closed under inverses. if i had just gone through the book on my own, i would have followed the walkthrough, forgotten pinter's trick, and i would have never found this more-natural-to-me proof!

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