Anchor: By contrast, many nerds can be handsome (Gore) or self-confident to the point of arrogance (Gates, Gingrich).
Entailed: Many nerds can be handsome or self-confident.
Contradiction: To be a nerd, you can't be handsome.
Contradiction: A man is having a conversation with a mailman
Contradiction: Sometimes you can smell alcohol on someone without that person being drunk.
Contradiction: The woman is playing the bass.
Contradiction: Kid wearing a hat.