Both religious and non-religious persons typically have moral values and make belief-based moral judgements regarding behaviors or the worth of individuals in accordance with those moral belief systems. But the meaning and usage is different from how those terms are used in classical logic and mathematics.

I'd pretty much agree, Janie. There are certainly links, and that is partly why they share terminology, but there is a formality to classical logic that simply can't be applied to most moral questions, if only because the terms are generally ill-defined. Also moral judgements take place based on much more subjective information and models than most branches of science are happy with. So in my view the 'well rounded person' is aware of both, and uses different strategies in different circumstances.