There are uncountably many possible worlds. Using standard real-number-valued probabilities, we have to assign probability zero to (I think) almost all of them. In other words, for almost all of the possible worlds, the probability of the complement of that possible world is 1.
(Are there ways around this, perhaps using non-real-valued probabilities?)
There are uncountably many possible worlds. Using standard real-number-valued probabilities, we have to assign probability zero to (I think) almost all of them. In other words, for almost all of the possible worlds, the probability of the complement of that possible world is 1.
(Are there ways around this, perhaps using non-real-valued probabilities?)
We could use hyperfinites maybe?