context: Chances are about even that Julius is a swan. It is probably not the case that John moved to the office. There is a very good chance that Fred discarded the milk. Chances are slight that if Julius is a swan, and Fred discarded the milk, then Lily is white. It is certain that if John moved to the office, and Julius is a swan, then Jessica is a cat. It is likely that if John moved to the office, or Julius is a swan, then Brian is a frog.
hypothesis: There is almost no chance that either Lily is white, or Julius is a swan.
valid_hypothesis: Chances are about even that either Lily is white, or Julius is a swan.
invalid_hypothesis: There is almost no chance that either Lily is white, or Julius is a swan.
hypothesis_assertion: Either Lily is white, or Julius is a swan.