I use this term often when I'm referring to one of my comic book characters. Anyways. it is defined more popularly as something that is illogical, implausible and defiance of reasoning. One of my characters is a
OK I'll go into more detail on the word...
The Terminators films are a good example of an on going paradox that try to prove without the future there is no past, which is absurd(Actually ingenious of James Cameron). If Sarah Connor succeeded in Terminator 2 and actually prevented the war, then John Connor would cease to exist. So the war (rise of machines) had to happen in order for future Connor to send Reece back in time to Sarah, so that Sarah and Reece could create-conceive John Connor.
Another example. God.
Believing in God is accepting the belief that something does not have a beginning or an ending. Is omnipotent, alpha and omega. And cannot be visually proven. Thus why those who do believe in God do so with faith in things unseen, read, told and verification of said creation. Even though it seems paradoxical to believe in something that doesn't provide a direct visual source verification
Last and most easily understood example:
You tell someone not do something, profess its wrong to do it, declare it to the world, promise all you'd never do something like it, and work your whole life to avoid it, then suddenly one day because you have a change of mood/influence you decide to go on and do it, while expecting no causality of your actions. So yes being self-contradictory, absurd or hypocritical is a form of a paradox in a humanitarian aspect.