“Progress is impossible without change,” George Bernard Shaw wrote in 1944, “and those who cannot change their minds cannot change anything.” But progress through persuasion has never seemed harder to achieve. Political segregation has made many Americans inaccessible, even unimaginable, to those on the other side of the partisan divide. On the rare occasions when we do come face-to-face, it is not clear what we could say to change each other’s minds or reach a worthwhile compromise. Psychological research has shown that humans often fail to process facts that conflict with our preexisting worldviews. The stakes are simply too…