Such tricks suggest that we are often blind to the results of our own decisions. Once a choice is made, our minds tend to rewrite history in a way that flatters our volition, a fact magicians have exploited for centuries. “If you are given a choice, you believe you have acted freely,” said Teller, of the duo Penn and Teller, to Smithsonian magazine. “This is one of the darkest of all psychological secrets.”

Such blind spots confirm what many philosophers have long suspected: reality and our perception of it are incommensurate to a far greater degree than is often believed. For all its apparent fidelity, the movie in our heads is a “Rashomon” narrative pieced together from inconsistent and unreliable bits of information. It is, to a certain extent, an illusion.