"If it rains, the match will be cancelled." From this conditional, we do not learn that it rains; we do not learn that the match will be cancelled either. So what do we learn? I provide an answer in Learning Conditional Information by Jeffrey Imaging on Stalnaker Conditionals.
The above conditional can be used to convey causal information: the event of rain causes the match to be cancelled. In a follow-up paper, I tackle the difference between the learning of merely conditional information and the learning of causal information.