I would not describe us as unable to agree on the meaning of the word paradox. I don't at all think we cannot come to common understanding. I neither expect we will on matters of faith. IME any two members of a church have two separate and unique interpretations of their faith.

I think we can agree on things that can be tested, that have ways to falsify them, and if they are not falsified by these tests, we can agree those things could be true. If they fail those tests, I think we could agree those things could not be true. More than that I am aware I cannot judge with confidence, and I would hope we could agree on that, even if you feel confident about your judgment of such matters, we should be able to agree on my incompetence.