context: It is probably the case that Lily is a swan. It is improbable that John is in the office. It is likely that Bernhard is white.
hypothesis: It is highly unlikely that either Lily is a swan, or Bernhard is white.
valid_hypothesis: Chances are about even that either Lily is a swan, or Bernhard is white.
invalid_hypothesis: It is highly unlikely that either Lily is a swan, or Bernhard is white.
hypothesis_assertion: Either Lily is a swan, or Bernhard is white.