But if we assume a countable universe, probability will work just as well with universals and existentials as it will with conjunctions and disjunctions.
If you regard probability as a tool for thinking , which is pretty reasonable, it’s not going to work, in the sense of being usable, if it contains countable infinities or very large finite numbers.
Also, it is not a good idea to build assumptions about how the world works into the tools you are using to figure out how the world works.
But the question wasn’t about whether it’s usable. The question was about whether there is some sense in which probability extends propositional logic but not predicate logic.
If you regard probability as a tool for thinking , which is pretty reasonable, it’s not going to work, in the sense of being usable, if it contains countable infinities or very large finite numbers.
Also, it is not a good idea to build assumptions about how the world works into the tools you are using to figure out how the world works.
But the question wasn’t about whether it’s usable. The question was about whether there is some sense in which probability extends propositional logic but not predicate logic.