Part of the reason it draws us is because it is seemingly unsolvable, but only within the ideas it sits upon. Remember, that in the real world, everything just works together in some seemingly seamless way that leaves us wondering, and the only way we can refer to it is using language. Language cannot possibly describe reality to completeness, so it goes to the next best thing, which is approximation. Your thoughts are also a language to describe the world. So are mathematics. So in all, paradoxes exist only in our heads. They are interesting because they are a problem to solve, and where in reality we can use Action to create Consequence, in our heads, it's all pretty much fair game as to what follows what. It's up to the individual on how to balance that.