Paradox is an expression of polarity. The template for the reality we experience (in this galaxy) is polarity. Within this templet exists a third point which symbolizes the integration of the dualities. This triadic structure is an underlying dynamic structure in creation and its evolution. Realizing the paradoxical nature of creation, thus seeing how the opposites/polarities co-exist in perfect harmony, changes profoundly the way individuals experience reality. If you are committed to the process of harmonizing 'your' dualities, you are well on your way of cultivating unified consciousness...
It's definitely a conundrum for the logical mind...