Which verb includes the idea of measuring the significance of conflicting points of view?

The verb that includes the idea of measuring the significance of conflicting points of view is "assess." This term involves evaluating and judging the quality, value, or significance of something, which can include weighing different perspectives or arguments against one another. When assessing conflicting points of view, one critically examines the strengths and weaknesses of each side, helping to determine which is more valid or impactful based on evidence and reasoning.

The other terms do not capture this specific aspect as directly. "Investigate" involves gathering information and exploring a topic in-depth, but does not inherently include the evaluative component. "Argue" focuses more on presenting a case in favor of a particular viewpoint rather than measuring conflicting perspectives. "Analyse" pertains to breaking down information into components for study and understanding, but may not necessarily involve the significance of conflicting viewpoints unless it explicitly includes an evaluative aspect.