As a result, when you apply these analogies to the human intuition and more complex processes, you are confronted with a dilemma. Our society is reaching a limit where our brute-force methods of recreating systems are no longer working. We are looking too much at the face value of these systems, and thus reaching problems with efficiency and further innovation. In my humble opinion, Kasparov is trying to say that the demands of the market have caused this behavior which benefits in short term, but limits us in the long run. Taking risks to work on a longer-term project of recreating systems at a more fundamental level is what keeps innovation going, and it's time we take it to a new level with respect to human intuition.
Kasparov acknowledges that computers are superior to unassisted humans at playing chess, so how is the third case (computer chess) different?
[B]rute-force methods of recreating systems are no longer working.
On the contrary, brute-force algorithms are working better and better as a result of the trend currently known as Moore's law. The faster the hardware, the less intelligent the software running on it has to be to do the same job.
The ability of a human to think better than a machine puts them in a completely different classes.
They do not accomplish the same result - they think and calculate different things. In certain tests they may accomplish the same result, but not in all tests.
If they did then a strong machine plus a weak machine should do better than a strong machine alone - but it doesn't.
Here Kasparov misses the mark. Should airplanes flap their wings like birds? Should bicycles have feet? What matters in engineering is the quality of the result, not how the result is achieved.
What's more, the demands of market that Kasparov disparages actually help drive innovation, for if someone were to invent a novel chess program that wipes the floor with all the other programs on the market, is there any doubt it would outsell them?