context: We doubt that Mary went to the office. There is almost no chance that Bernhard is a frog. It is impossible that Greg is yellow. It is certain that if Bernhard is a frog, or Greg is yellow, then Bill put down the milk. It is highly unlikely that if either Greg is yellow, or Mary went to the office, then John left the apple. There is a very good chance that if either Mary went to the office, or Greg is yellow, then Julius is white.
hypothesis: It is impossible that julius is white, and Bill put down the milk.
valid_hypothesis: It is impossible that julius is white, and Bill put down the milk.
invalid_hypothesis: Chances are about even that julius is white, and Bill put down the milk.
hypothesis_assertion: Julius is white, and Bill put down the milk.