The Axiom of Choice, by David W. Goldman

The Axiom of Choice is a very clever story.  The cleverness is all in the way the story is told, so it's hard to think of very much to say about it that doesn't spoil it.  Other than that the actual Axiom appears in a brief but crucial role, and holds the whole story together very well.  A logical speculative fiction story, as opposed to a physical science one.  Very fun, an interesting read, and a strong contender.  I give it 3 stars, but a strong one.