When combined, the meaning is remarkably clear: “To rely on (据) reason (理) with strength (力) to argue (争).” It's a step-by-step guide to a just and effective argument.
In a culture that deeply values harmony (和谐, héxié) and often avoids direct confrontation, “据理力争” holds a special place. It is the socially acceptable, even admirable, way to engage in conflict. It suggests that while disrupting harmony is generally discouraged, doing so in the service of truth or principle (理) is not just acceptable, but a mark of integrity. A useful Western comparison is “making a closing argument” in a courtroom. A lawyer doesn't just express an opinion; they systematically present evidence and logic to build an irrefutable case. “据理力争” is like applying that level of reasoned persuasion to important situations in daily life, such as a business negotiation or a serious family discussion. This contrasts with the Western concept of “agree to disagree.” While that approach prioritizes ending a conflict quickly, “据理力争” implies that the underlying principle or truth is too important to be set aside for the sake of superficial peace. It's a justified and respected form of confrontation, rooted in intellectual and moral confidence.
“据理力争” is a formal and respected term used in situations where the stakes are high and principles matter.