Arguably most people are not generally intelligent, because they don't have to solve problems that make them generally intelligent. ...[I]t's not yet… - Joscha Bach

All our access to mathematics... is because we do computation. We can understand mathematics because our brain can compute some part of mathematics, very very little of it and to a very constrained complexity, but enough so we can map some of the infinite complexity and noncomputability of mathematics into computational patterns which we can explore.

General intelligence is not only the ability to reach a given goal (and usually, there is some very specialized, but non-intelligent way to reach a singular fixed goal, such as winning a game of chess), but includes the setting of novel goals, and most important of all, about exploration. ...[A]n environment with fixed tasks, scaled by an agent with pre-defined goals is not going to make a good benchmark problem for AGI.

[D]espite inevitable difficulties and methodological problems, the design of unified architectures modeling the breadth of mental capabilities in a single system is a crucial stage in understanding the human mind...