In just our fourth session together, Steve was already beginning to sound discouraged. It was Thursday of the first week of an experiment that I had expected to last for two or three months, but from what Steve was telling me, it might not make much sense to go on. "There appears to be a limit for me somewhere around eight or nine digits," he told me, his words captured by the tape recorder that ran throughout each of our sessions. "With nine digits especially, it's very difficult to get regardless of what pattern I use—you know, my own kind of strategies. It really doesn't matter what I use—it seems very difficult to get."
Steve, an undergraduate at Carnegie Mellon University, where I was teaching at the time, had been hired to come in several times a week and work on a simple task: memorizing strings of numbers. I would read him a series of digits at a rate of about one per second—"Seven ... four ... zero ... one ... one ... nine ..." and so on—and Steve would try to remember them all and repeat them back to me once I was done. One goal was simply to…
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