> Or you can decide the leave everything and become a monk. I don't see how that's an argument one way or another.
You seem to have missed what I said.
I mean that, if I don't wash the dishes today, and I go to sleep, it's still me who's going to have to wash those dishes tomorrow. It's not someone else. It's me. That "me" is the question. I can't just not wake up as "me" tomorrow. If continuity wasn't a thing then the concept of "me" shouldn't exist at all, so there would be no responsible party in the first place, but every morning I find that I need to wake up, go to work, and then sometimes wash the dishes.
Of course, the entire experience of "me" can be falsified by a 3rd party, sure, but the world itself could also be falsified, neither of these beliefs are particularly actionable. But "the person who didn't wash the dishes and the person who then suffers the consequences is a continual entity" is actionable, it means I should wash my dishes.
> Why? It seems to be the crux of your argument, but you don't justify it in any way.
Because I can't wake up and control two people at the same time. That doesn't even happen in the case of multiple personality disorder.