Neologisms

Yesterday at the pub I was involved in a very extended (civil and remarkable productive) dialog about morality and society. We touch on many topics in the course of discussion, one of them being the difference between reason and faith. And I had to come up with a new word. Firstly, we agreed on the tautologies:

It reasonable to have reason.
It is unreasonable to have faith.

The second one is true because of the definition of faith (having belief without reason). So, by analogous reasoning, I also stated:

It is faithable to have faith.
It is unfaithable to have reason.

I’ll let you decide what I mean by that.