A popular comparison is to compare the human intellect with monkeys. There are problems that humans can eaily solve, but monkeys can't solve no matter how many that are working at it. So there is some major difference between the human intellect and the monkey intellect, which is not just a difference of speed.
Will we be able to construct, or at least boot-strap, a general AI that can optimize itself so that it becomes both quicker but also have that extra ability? I think it will be almost impossible to get it already from the beginning, as humans don't know what the difference is. Only way to find out about it (for the AI) would be to develop it during it's own optimization.
Can we know if there is another level of intelligence that we don't know about?
Instead of looking at the difference between a monkey and a human, let's look at the difference between a genius and an average human. In this case, is the difference only a matter of speed? Most would say that the genius can come up with ideas and solutions that an average human wouldn't find, no matter how much time was allowed. I think a genius is characterized by two things:
- A capacity to quicker understand certain areas than the human average.
- A capacity to find unexpected relations the average human would not have thought about.
The first one is obviously about speed. The second is about looking for relations in areas that normally would not be considered as worth looking at. It is some kind of trial-and-error process. I think this is also really just a matter of speed, where the average human knows the he/she don'thave enough time to investigate unlikely possibilities.
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