I sometimes see debates on RF and the posters seem to either be unaware of boolean logic / boolean algebra, or they think they can ignore it.
It strikes me that if we don't use boolean logic, we can't really have any useful, fun debates or discussions. (Unless perhaps we're in the games forum.)
Here's a common rule that gets broken a lot:
If a poster says something like: "Since A and B are true, then C must be true." (Of course that statement might be wrapped in all sorts of additional words. so we have to be able to reduce the claim down to what I've said above.)
The important point here is that - for the sake of civil debate / discussion - if EITHER A or B is false, then C has not been proven.
By extension, if a poster says: "Since A, and B, and C are true, then D is true", then ALL of A, B, and C must be true, or D is unproven.
There are many other rules, e.g. how to use "or", but this seems like a start...