Which Alice?

And That's the Beautiful Part of It!
"Now," continued Humpty Dumpty, "Lillian is a lady of the
community, but it is not given whether or not she is a member of
the Hearts Club. Richard is a man of the community, and it is also
not given whether or not he is a member of the Hearts Club. Can it
be determined whether or not Richard loves Lillian?"
"I don't see how!" replied Alice.
"Ah, that's because you don't think!" replied Humpty Dumpty.
"Yes, child," he continued, "it is possible to determine it. In fact—
ah, you may not believe what I am going to tell you! What I am
going to tell you—oh, yes, you may well look surprised! What I am
going to tell you is that in such a town, all the men must love all the
ladies!"
Alice thought about this. "I still don't see why," she finally said.
"Well, child, it follows from the first premise that every lady in the
town must belong to the Hearts Club. Why? Because, take any lady:
either she doesn't belong to all clubs or she does belong to all clubs.
If the former, then, by the first premise, she must belong to the
Hearts Club. If the latter, then of course she belongs to the Hearts
Club, since the Hearts Club is one of all the clubs. So in either case,
she belongs to the Hearts Club. This proves that all the ladies in
town belong to the Hearts Club."
"I see that," said Alice.
"Well," continued Humpty Dumpty, "it follows from the second
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