In the world chess championship match that ended Friday in India, Norway's Magnus Carlsen, the cool, charismatic 22-year-old challenger and the highest-rated player in chess history, defeated local hero Viswanathan Anand, the 43-year-old champion. Mr. Carlsen's winning score of three wins and seven draws will cement his place among the game's all-time greats. But his success also illustrates a paradoxical development: Chess-playing computers, far from revealing the limits of human ability, have actually pushed it to new heights.

The...