Such systems of logic are quite useful for dealing with our own reality as well. Paraconsistent logics disallow or restrict some of the axioms of classical logi

Such systems of logic are quite useful for dealing with our own reality as well. Paraconsistent logics disallow or restrict some of the axioms of classical logics to avoid some contradictions. In turn, it loses completeness to some degree. It has similarities to intuitionistic logic, but intuitionistic logic has other aims.