Anchor: To demonstrate that impossible manifolds could be coaxed into living in Euclidean space is counterintuitive and pretty exciting.
Entailed: It is possible for something to be both counterintuitive and exciting. 
Contradiction: Impossible manifolds could never be coaxed into living in Euclidean space. 
Contradiction: a crowd of people sits around
Contradiction: The storm included a lot of rain.
Contradiction: New Orleans has never moved beyond a survival stage.
Contradiction: The man is seated on the ground.