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Even if Sisyphus is infinite and the boulder is infinite, they can be accommodated within an infinite space.
But not if they’re uncountably infinite.
Sadly, the Hilbert Hotel is slated for demolition which is why it’s on Sisyphus’ path. After that whole “everyone moves to double their room number” debacle, Hilbert had to process a fraction of the infinite guests’ refunds because they didn’t feel like changing rooms to one several million hallways down. And a percentage of infinite guests refunds is still infinite, so Hilbert is in infinite debt now.
Theseus, meanwhile, has been trying to justify buying a new ship for ages but his crew is adamant about right to repair, so he’s looking for an easy exit.
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One must at least imagine Sisyphus happy, even under such circumstances
He might be happy, when his boulder gets to sink the reconstructed Ship of Theseus and he is finally rid of the thing that made him unhappy.
One must imagine the intimate number of people the bolder would kill if it smashed into it, and the ship can always be rebuilt, but is he happy, maybe if he pushes the bolder through an infinite amount of rooms killing an infinite amount of people.
