> Yes, you can. It's called generalizing. Remember, we're not doing math here, this is ethics.
To strive for a consistent set of beliefs grounded in reality is more akin to most branches of Philosophy than Mathematics as far as I am concerned, and seems particularly concerning to Ethics (e.g. you can achieve a set of beliefs of what you can consider 'good' or 'evil' ignoring all perception of reality but would the result be desirable?).