I agree. I think its best to think about it in terms of high dimensional spaces and manifolds. The manifold of solutions to business problems is currently not well approximated by the way that we decompose business problems. And by this I mean that if you were to look at the manifold of problems solvable using current techniques in amount of time x, you would find that in general that manifold is a long way away from the manifold of useful business applications. I'm not saying that there is a better decomposition - a better decomposition that leads to a manifold that lies closer to the target manifold - it may be that the manifold is complex in a way that makes it impossible to approximate efficiently in terms of time to develop.
And we may be butting up against the fact that most objects in mathematical space do not have effecient ways of representing them. I'm thinking of kolmorogrov complexity and the pigeon hole principle. Most outputs have no short programs to produce them.
And we may be butting up against the fact that most objects in mathematical space do not have effecient ways of representing them. I'm thinking of kolmorogrov complexity and the pigeon hole principle. Most outputs have no short programs to produce them.