Disagreement abounds. People disagree about everything from sports and politics to science and child rearing. When disagreements stem from the manifest ignorance, bias, or stupidity of one of the disputants, they are epistemologically benign. That someone who clearly does not know what he is talking about disagrees with you gives you no reason to rethink your position. But some disagreements are more worrisome. Equally intelligent, knowledgeable, thoughtful and open-minded people often disagree. Let us call such parties intellectual equals. Should disagreements among intellectual equals give us pause?