context: Chances are slight that John got the football. There is a very good chance that Greg is gray. It is probably not the case that Jeff went to the garden. We doubt that if Greg is gray, or John got the football, then Brian is a swan. It is highly unlikely that if John got the football, and Greg is gray, then Bernhard is white. It is almost certain that if either Greg is gray, or John got the football, then Daniel grabbed the milk.
hypothesis: It is probably the case that either Bernhard is white, or John got the football.
valid_hypothesis: It is improbable that either Bernhard is white, or John got the football.
invalid_hypothesis: It is probably the case that either Bernhard is white, or John got the football.
hypothesis_assertion: Either Bernhard is white, or John got the football.