"arrogant logic mumbo-jumbo.... ot be bothered with the names of those rules"

Yeah. It's not arrogant, but it just adds confusion of another term to define an error in thinking. I don't use the terms often. Explaining the error in thinking, the fallacy, and why its an error, is simpler, because then its actually explained. ;)

Logic is indeed used by all, in varying degrees of usefulness to use the tool. Logic is non-contradiction, using identity of things as they are and not another. These are basic laws in the universe.

It's the tool to find truth, from the inputs in reality.

People need to distinguish between truth and beliefs, because a belief is not truth. This is crucially important. Right and wrong can be known in objective reality, rather than be subjectively invented and justified based on personal whims, want and desires.

Take care. Peace.