Have infinite ethics been reexamined in light of the logical decision theories?
I then come along and punch 100 people destroying 100 utility
Under a logical decision theory, your decision procedure is reflected an infinite number of times across the universe, you can’t just punch a 100 people and then stop there. If you decide to punch any people, an infinite number of reflections of you punch an infinite number of people. The assumption “the outcomes of your decisions are usually finite” is thrown out.
Modelling potential actions as isolated counterfactuals is wrong and doesn’t work. We’ve known this for a while.
Well you could try to talk about proportions, but you’d need some kind of non-standard infinities in order to make that work or just give up on the idea of an aggregative utility function.
Yeah, there’s still difficult stuff to grapple with. Mathematics isn’t my specialization and I’m not in any way disagreeing that surreal numbers might be relevant here. I’ve been thinking about digging into Measure Theory.
Have infinite ethics been reexamined in light of the logical decision theories?
Under a logical decision theory, your decision procedure is reflected an infinite number of times across the universe, you can’t just punch a 100 people and then stop there. If you decide to punch any people, an infinite number of reflections of you punch an infinite number of people. The assumption “the outcomes of your decisions are usually finite” is thrown out.
Modelling potential actions as isolated counterfactuals is wrong and doesn’t work. We’ve known this for a while.
Well you could try to talk about proportions, but you’d need some kind of non-standard infinities in order to make that work or just give up on the idea of an aggregative utility function.
Yeah, there’s still difficult stuff to grapple with. Mathematics isn’t my specialization and I’m not in any way disagreeing that surreal numbers might be relevant here. I’ve been thinking about digging into Measure Theory.