Oh no! Sisyphus' boulder is rolling out of the Grand Hilbert Hotel, and is headed back down the tracks at breakneck speed! Simultaneously, it has been redirected by its' collision with the ship of Theseus, and is headed back down the tracks at breakneck speed! By measuring the boulder on either track, you will resolve its' quantum superposition, erasing the other events from existence. What is Sisyphus' phone number?
Simple: call the front desk of the Grand Hilbert Hotel, ask for a list of all the room numbers. for the first infinite number of infinities that you count, call every one of the infinite odd-numbered rooms. While you're doing this, emotionally blackmail the lever-puller, using his remorse from the choice he made to get him to call all of the even-numbered rooms. This way, you'll cut your time searching for sisyphus' phone number down by half, which is really no time at all when you think about it
Sisyphus has racked up quite the phone bill during his stay at the hotel. The concierge enters his room to present him with the bill, to find Sisyphus a complete wreck, in bed drunk out of his mind in his underpants. "Oh, Diogenes!" he cries. "Will you ever make an honest man out of me?" The concierge reaches out towards Sisyphus to comfort him. However, he must first reach out half of the distance between him and Sisyphus. Then, he must reach half the remaining distance, and so on. Will Sisyphus ever know real human connection?
This might just be the best trolley problem yet (I have been collecting them)
You're in luck. It was trolley problems day over at the place I steal memes from
The hotel can accommodate Sisyphus and Bouldy, but it will trigger an infinite chain of hotel guests walking down hallways and transferring rooms until the end of time.
For this reason I recommend destroying the impostor boat
Even if the transfer was announced on infinite speakers throughout the hotel (and with perfect compliance, of course), so that everyone transferred exactly one room over at the same time, they could still accomodate it. Subsets of infinite sets are fucking weird. Our monkey brains want to comprehend infinity as being, like, growing forever, and so it couldn't accomodate anyone because any new room generated would already be occupied, but no it's all existing at once and everyone would be able to do the transfer. Infinitely many Sisyphuses and infinitely many boulders could be accomodated.
This is why mathematicians are counter-revolutionary.
But only if there's a countable infinity of Sisyphuses and bouldies
They Probably are not happy as they get called a Sissy for having trouble with rolling the boulder uphill.
Devastatingly hot take: Hilbert's Hotel can't actually accommodate any additional guests, because walking between rooms is not a form of accommodation.
If the hotel appears as an infinite number of already occupied rooms, every single person you add will cause one other person to have to be in the hallway, forever.
Adding one person means everyone has to walk one room further down the hallway. It's only like five minutes of inconvenience each. Many hands make light work.
I suppose if you do sync it up it would work. I was imagining one person moving at a time
