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Spaced repetition can allow for infinite recall (2022)


My friend Andrew is an advocate of the “spaced repetition” technique for memorization of a great many facts [1]. The ideas behind this are two-fold: When one first “learns” a new fact, it needs to be reviewed frequently in order to not forget it. However, with each additional review, the …

My friend Andrew is an advocate of the “spaced repetition” technique for memorization of a great many facts [1]. Taking this framework as correct motivates questioning exactly how far it can be pushed: Would an infinitely-long-lived, but forgetful person be able to recall an infinite number of facts using this method?\(\ldots\) Below, we show that the answer is: YES! With this assumption, if \(N(t)\) facts are to be recalled from \(t\) days ago, one can show that the amount of work needed today to retain these will go like (see appendix for a proof of this line)

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