I remember being bothered by this problem, and feeling like I had resolved it as an undergrad. Calling it a "true contradiction" seems absurd; you've just drawn a circle around it and said, "Nothing to see here! Move along!"

I think the solution is related to modal logic. "This sentence is false" creates a self-referential universe devoid of meaning, and thus has no truth value. It refers only to the world of itself, and there are no rules that it can be evaluated against, nor are there any observations that can confirm or disconfirm it. It is, in a sense, epiphenomenal, as there is no actual thing which it corresponds, predicts, or relates to. It is, in a sense, a one-sentence universe that cannot be tied to anything in any other universe.

This concept seems more robust in my mind; I suspect I am either making a mistake or failing to explain myself. Criticism or questions would be appreciated.