On the one hand, she did appear to be flirting with him. On the other hand, she did appear to think he was dead. Hm. Rather an impasse, there.
"Ha ha, yes," he agreed, a little vaguely. "Dead. Couldn't be him. As I am living. And therefore not dead. Two mutually exclusive states of being, life and death. Who was he, if you don't mind me asking?"