Now, I'm pretty sure that it's not possible, but I want to 1) Confirm this, and 2) Hear alternatives.
My solution today was to run the MySQL query, then use its result to construct a "NOT IN ('value1', 'value2', 'value3')" string, which I tacked onto the Oracle query before running it. Rather cumbersome, but it worked, and it's fast enough so far.
What is the typical way of solving this problem?