Given an infinite number of rooms and guests, it is highly likely both he and the boulder are already there.
I don’t follow. He’s clearly not there already, being at the switch instead of at the hotel.
But if there are infinite guests, could he not have a reservation?
Have to ask all current infinite reservations to move to x 2, now you’ve got 2x the open rooms as all current infinite reservations are even rooms only.
A hotel room being "full doesn't necessarily mean the guest is in the room at that very moment, just that the room us reserved. And given infinite rooms it's basically guaranteed one of those reservations is for sisyphus
Since the potential of not being accommodated is given, we must assume he doesn’t have a reservation.
I don’t follow. He’s clearly not there already, being at the switch instead of at the hotel.
But if there are infinite guests, could he not have a reservation?
Have to ask all current infinite reservations to move to x 2, now you’ve got 2x the open rooms as all current infinite reservations are even rooms only.
A hotel room being "full doesn't necessarily mean the guest is in the room at that very moment, just that the room us reserved. And given infinite rooms it's basically guaranteed one of those reservations is for sisyphus
Since the potential of not being accommodated is given, we must assume he doesn’t have a reservation.