Depends on what you mean by "absolute truth". I would argue that 2 + 2 = 4, is an absolute truth, in the sense, as David Hume would characterize in his epistemology, a "necessary truth". Another example being: all triangles have three sides. These things are necessarily true, and thus I would argue, are absolutely true.

But in the moral and empirical landscape, I would agree, that yes, absolute truth becomes a contradiction, as you say.