forum for week of Nov 7: kinds of apriori beliefs

I would suggest that logic, or more specifically the deductively valid argument mentioned in the text, could be viewed as a combination of the two categories put forth in the question. Predicate logic, or word math as I think of it, would seem to be a manner of achieving apriori beliefs. Predicate logic is a language that can be learned, with rules for sentence structure and grammar, but which uses quantifiers, predicates, and variables in place of words. Once a person learns the language, it can be used to analyze propositions and arguments. An argument is valid if and only if it is impossible for its premises to be true and its conclusion to be false at the same time. Once you understand that definition and the language of predicate logic, it becomes possible to reason and arrive at new true beliefs without having to acquire new evidence.

Now granted, this relies on an understanding of the logical language in advance. But that is no different than any other analytic belief which all require a grasp of language. Predicate logic is just one form of logical reasoning that can lead to apriori beliefs, but it's an interesting one as it seems to combine two separate sources into one.