context: There is a better than even chance that John picked up the milk. It is highly unlikely that Lily is yellow. There is almost no chance that Julius is a swan.
hypothesis: It is impossible that julius is a swan, and Lily is yellow.
valid_hypothesis: It is impossible that julius is a swan, and Lily is yellow.
invalid_hypothesis: Chances are about even that julius is a swan, and Lily is yellow.
hypothesis_assertion: Julius is a swan, and Lily is yellow.