I don’t actually mean the thing you’re calling the motte at all, and I’m not sure I agree with the bailey either. The thought experiment as I understand it was never quite a St. Petersburg Paradox because both the payout (“double universe value”) and the method of choosing how to play (single initial payment vs repeated choice betting everything each time) are different. It also can’t literally be applied to the real world at all, part of the point is that I don’t even know what it would look like for this scenario to be possible in the real world, there are too many other considerations at play.
In the case I’m imagining, the Cosmic Flipper figures out whatever value you currently place on the universe—including your estimated future value—and slightly-more-than-doubles it. Then they offer the coinflip with the tails-case being “destroy the universe.” It’s defined specifically as double-or-nothing, technically slightly better than double-or-nothing, and is therefore worth taking to a utilitarian in a vacuum. If the Cosmic Flipper is offering a different deal then of course you analyze it differently, but that’s not what I understood the scenario to be when I wrote my post.
I don’t actually mean the thing you’re calling the motte at all, and I’m not sure I agree with the bailey either. The thought experiment as I understand it was never quite a St. Petersburg Paradox because both the payout (“double universe value”) and the method of choosing how to play (single initial payment vs repeated choice betting everything each time) are different. It also can’t literally be applied to the real world at all, part of the point is that I don’t even know what it would look like for this scenario to be possible in the real world, there are too many other considerations at play.
In the case I’m imagining, the Cosmic Flipper figures out whatever value you currently place on the universe—including your estimated future value—and slightly-more-than-doubles it. Then they offer the coinflip with the tails-case being “destroy the universe.” It’s defined specifically as double-or-nothing, technically slightly better than double-or-nothing, and is therefore worth taking to a utilitarian in a vacuum. If the Cosmic Flipper is offering a different deal then of course you analyze it differently, but that’s not what I understood the scenario to be when I wrote my post.