context: It is probable that John picked up the apple. It is improbable that Mary went to the office. We believe that Daniel grabbed the milk. Chances are slight that if either Mary went to the office, or John picked up the apple, then Julius is a lion. It is probably not the case that if either John picked up the apple, or Mary went to the office, then Brian is gray. We believe that if Mary went to the office, and John picked up the apple, then Lily is green.
hypothesis: We doubt that either Julius is a lion, or Mary went to the office.
valid_hypothesis: We doubt that either Julius is a lion, or Mary went to the office.
invalid_hypothesis: There is a very good chance that either Julius is a lion, or Mary went to the office.
hypothesis_assertion: Either Julius is a lion, or Mary went to the office.