Its results should be critically assessed, and then imbedded into a system, but it is up to it to yield what is necessary to start with. This is a substantial hint for an engineer who would build a conceptualizing machine. It can be easily noticed that the ability of rapid subconscious scanning is not evenly distributed among human minds. In fact, at least part of the problem reduces to such physical parameters as speed of signals and density of network connections. Optimalizing of these two factors should form a major task in cognitive engineering.
Productivity is a necessary but by no means sufficient condition of intelligence.
It is not enough to produce a lot of inferences or a lot of concepts. Unfortunately, no such direct answer is available with regard to conceptualizations. However, we can try an indirect way, even if less reliable, which leads to the goal via mechanization of reasoning. Again, the example of Peano arithmetic is to render services. We have grounds to believe that the concepts occurring in its axioms are cognitively good because we obtain an enormous set of consequences, and we did not find any inconsistency among them.