In their last meeting, in February 1996, Kasparov won the contest 4-2. The man who champions the human intellect has fallen apart under the pressure of the machine.
Chess is a well-defined form of computation.
You may not be able to work out the answers, but in theory there must be a solution. What IBM programmers have done is press the quest for the solution beyond the point where human thought processes can keep up with. It is using its immense number-crunching power to explore millions of moves per second and applying a set of rules provided by its human masters to pick the strongest. Deep Blue does not owe its intelligence to itself, but to a team of human programmers. Computers are dumb.