Though, the anti-Laplacian mind, in this case, is inherently more complicated. Maybe it’s not a moot point that Laplacian minds are on average simpler than their anti-Laplacian counterparts? There are infinite Laplacian and anti-Laplacian minds, but of the two infinities, might one be proportionately larger?
None of this is to detract from Eliezer’s original point, of course. I only find it interesting to think about.
They must be of exactly the same magnitude, as the odds and even integers are, because either can be given a frog. From any Laplacian mind, I can install a frog and get an anti-Laplacian. And vice versa. This even applies to ones I’ve installed a frog in already. Adding a second frog gets you a new mind that is just like the one two steps back, except lags behind it in computation power by two kicks. There is a 1:1 mapping between Laplacian and non-Laplacian minds, and I have demonstrated the constructor function of adding a frog.
Though, the anti-Laplacian mind, in this case, is inherently more complicated. Maybe it’s not a moot point that Laplacian minds are on average simpler than their anti-Laplacian counterparts? There are infinite Laplacian and anti-Laplacian minds, but of the two infinities, might one be proportionately larger?
None of this is to detract from Eliezer’s original point, of course. I only find it interesting to think about.
They must be of exactly the same magnitude, as the odds and even integers are, because either can be given a frog. From any Laplacian mind, I can install a frog and get an anti-Laplacian. And vice versa. This even applies to ones I’ve installed a frog in already. Adding a second frog gets you a new mind that is just like the one two steps back, except lags behind it in computation power by two kicks. There is a 1:1 mapping between Laplacian and non-Laplacian minds, and I have demonstrated the constructor function of adding a frog.