Alternate titles for this Movie

Rating: 8/10 (14 December 2006)

Though I enjoyed this film from start to end, I still can't figure out why is it called "Closer", can somebody explain to me why? As far as I know it is just because Dan was not so sure about the title. Is Dan's book a projection of the script?
Let's think of alternate names for this film (this can be fun if we try^^):

Trust (there are other 6 movies with that name :S)

Cruel Intentions (oops, already taken)

Watch your step

Disarm

Strangers (I seriously like this one)