Which Anime Feature The Infinite Monkey Theorem Plot?

On a shorter, grumpier note: no, you won't find a mainstream anime that says, "Here are infinite monkeys and one of them writes Hamlet," as its core plot. What you will find are shows obsessed with permutations, retries, and infinite branching — the narrative cousins of the theorem. 'The Tatami Galaxy' is the closest in spirit, treating life as combinatorial experiments. 'Steins;Gate' and 'Re:Zero' use repeated timelines as gameplay for tragedy and growth, while 'Puella Magi Madoka Magica' uses loops to examine sacrifice. Even if the literal image of monkeys at typewriters is rare, the philosophical outcome is everywhere: many tries, many outcomes, and the search for meaning amid statistical noise. It's the kind of theme that makes me re-watch things and keep scribbling theories into the margins.

Sometimes a theme sneaks up on you in anime and it clicks — the idea that infinite tries or infinite variations eventually produce something meaningful is basically the same itch that the infinite monkey theorem scratches. I don't know of a mainstream anime that literalizes monkeys banging out Shakespeare on typewriters as its main plot, but plenty of shows riff on the same mathematical-philosophical vibe: endless possibilities, combinatorial chance, and the weight of infinite tries.

Take 'the tatami galaxy' — it is practically a love letter to branching possibilities. The protagonist lives dozens of alternative college lives, each a different permutation of choices; it reads like a dramatized infinite-monkeys scenario where different attempts produce wildly different outputs. 'Steins;Gate' hits similar notes through repeated attempts to change timelines (each 'round' shifts the story in new directions). 'Puella Magi Madoka Magica' and 'Re:Zero' both loop through tragedies and variations until a particular configuration is reached. These shows don't use the theorem as a joke, but they explore the philosophical consequences: how randomness, time, and near-infinite permutations shape identity and meaning. I love spotting that pattern across genres — it makes re-watching feel like hunting for those precise moments where chaos collides with narrative purpose.