I think it depends on the size of your outcome-space? If you assume a finite (probably generalizes to compact?) space of outcomes, then your argument doesn’t really go through. But a lot of things seem better modelled with infinite outcome spaces, so in that case your argument seems to go through, at least under conventional formalisms.
I think it depends on the size of your outcome-space? If you assume a finite (probably generalizes to compact?) space of outcomes, then your argument doesn’t really go through. But a lot of things seem better modelled with infinite outcome spaces, so in that case your argument seems to go through, at least under conventional formalisms.