If a paradox is such that one entity cannot exist without the other then it means they are just an artificial dichotomy for the purpose of description and understanding. And they are just two aspects of the same and one underlying indivisible reality.

For example, light cannot exist without darkness. The notion of light automatically implies a concept of darkness. Light without the contrast of darkness is meaningless. So light and darkness are the pair that cannot exist independent of one another. This is the same paradox here. This only implies that the distinction of light and darkness is just an artificial one, for the purpose of understanding and description. Actually the absolute darkness and absolute lightness is the continuum of one Light-Dark concept, but we call some dim-light as darkness in presence of brighter light. Since lightness and darkness are relative terms they don't exist on their own independently. They are just part of the same underlying continuum, but better described and characterized for easy understanding in dichotomized terms- The Light and The Darkness. Morale of the story is- they are the different degrees of the same One thing.

Example of light and darkness seems too abstract? Let's consider an example of a coin. The coin has a head and a tail. As long as it is a coin [not a cube or other platonic solids], it has the both two side. There cannot be a head without a tail, no matter what. Head and tail is just a way of understanding the same coin. Head and tail are just parts of the same coin, just as Republicans and Democrats are the part of same hidden "Ruling Class". How's about the dichotomy of the body and the mind? How can a mind, as we know it, exist without a body and a body can be perceived without a mind? In order, for us, to exist in this universe, you need the dichotomous body and mind, just like for an electron to exist, it needs an observer. Those half-wise who are troubled by this "Grand Dichotomy" of the body and the mind will remain rightfully Quasi-Wise, as long as they are troubled. Just by the fact that they are troubled with body-mind duality means that they do not understand the real meaning behind this dichotomy. Wake up Quasi-Wise, for Wisdom's sake!!

Can anything exist without any mechanism or way to recognize it or in other words, a perceiver? If something has to exist, it automatically assumes to have a perceiving device or a tool or a receptor or a mind. So a perceiving mind has to divide the indivisible, quite artificially, in order to perceive it. Unless the one becomes two there is no way for the one to perceive the undivided original. That is The Marvel of dichotomy. Although this dichotomy is artificial (ie. unreal), it is needed, nonetheless. On the other hand, quite paradoxically, this dichotomy will created an everlasting paradox of duality for the uninitiated minds but, in contrast, for the Wise, this dichotomy is the Supreme Gift known to exist in the entire universe.