context: It is certain that Bernhard is gray. There is a very good chance that Gertrude is a mouse. It is probably not the case that Julius is white. Chances are about even that if either Gertrude is a mouse, or Julius is white, then Lily is a swan. It is highly likely that if Gertrude is a mouse, and Bernhard is gray, then John went to the garden. It is almost certain that if Gertrude is a mouse, or Bernhard is gray, then Greg is green.
hypothesis: It is probably not the case that julius is white, and Greg is green.
valid_hypothesis: It is probably not the case that julius is white, and Greg is green.
invalid_hypothesis: We believe that julius is white, and Greg is green.
hypothesis_assertion: Julius is white, and Greg is green.