Difference between revisions of "Spaced proof review as a way to invent novel proofs"
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| − | 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! 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! | + | 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! |
| − | [[Category: | + | ==See also== |
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| + | * [[Spaced proof review as a way to understand key insights in a proof]] | ||
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| + | ==What links here== | ||
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| + | {{Special:WhatLinksHere/{{FULLPAGENAME}}}} | ||
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| + | [[Category:Spaced repetition]] | ||
Latest revision as of 01:44, 23 July 2021
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!
