The term proposition has a broad use in contemporary philosophy. It is used to refer to some or all of the following: the primary bearers of truth-value, the objects of belief and other "propositional attitudes" (i.e., what is believed, doubted, etc.), the referents of that-clauses, and the meanings of declarative sentences.
If you define proposition as "objects of belief/referents of that-clauses", I believe it rains. and I believe it doesn´t rain. contain 2 different propositions, as I understand it [which would be formalized as p and q].
If proposition were defined as "the primary bearers of truth value", there would only be one proposition [formally: p and ¬p].
Am I correct in reasoning this way, does the number of distinct propositions depend on the definition of "proposition"?