context: It is impossible that Lily is a swan. It is highly likely that Daniel got the apple. It is improbable that John grabbed the milk.
hypothesis: There is little chance that john grabbed the milk, or Lily is a swan.
valid_hypothesis: There is little chance that john grabbed the milk, or Lily is a swan.
invalid_hypothesis: There is a better than even chance that john grabbed the milk, or Lily is a swan.
hypothesis_assertion: John grabbed the milk, or Lily is a swan.