context: We doubt that Bill went to the kitchen. It is almost certain that Greg is gray. It is certain that John took the milk.
hypothesis: It is impossible that either Bill went to the kitchen, or John took the milk.
valid_hypothesis: There is a very good chance that either Bill went to the kitchen, or John took the milk.
invalid_hypothesis: It is impossible that either Bill went to the kitchen, or John took the milk.
hypothesis_assertion: Either Bill went to the kitchen, or John took the milk.