Infinite Memory: A Theoretical Proof Using Spaced Repetition

This paper proves that using spaced repetition, an infinitely-lived but forgetful person can recall an infinite number of facts. By establishing a power-law relationship between forgetting and the number of reviews, and considering a finite daily study time, the author derives a model showing that with careful curation of review schedules, knowledge can accumulate indefinitely, ultimately leading to infinite memory. While the daily review load is finite, the cumulative knowledge grows without bound over time.