"Paradox" and "dilemma" and even "problem" don't have as strong a meaning in philosophy as they do in colloquial English. In this context, the claim is essentia

"Paradox" and "dilemma" and even "problem" don't have as strong a meaning in philosophy as they do in colloquial English. In this context, the claim is essentially that a particular system of analyzing the truth of statements will incorrectly analyze this particular type of statement. The "paradox" is in the system, not in reality. The paper linked offers a solution for modifying one particular system so that it will correctly resolve the paradox. The programming analogy would be that processing a particular type of data will often have hidden pitfalls for the most intuitive approach. It might be easy to avoid those pitfalls by modifying your program, but someone had to notice and document the problem and the workaround.