Looky what I found:
1. The state of being paradoxical (Webster's)
2. In theological terms, it is the act of believing in something you know to be completely untrue. eg. people who follow the norms of a religion, believing that it will make them more worthy in the eyes of a god(s) that they do not believe actually exists. Examples are most Christians, Jews, Hindus, Muslims, and other less popular religions.
"My father was a believer of Jewish Orthodoxy. I, on the other hand, am a believer of Jewish Paradoxy. I don't believe in this stuff, I just wear the duds to get chicks."