There is a lot of evidence that humans, like other animals, learn
incrementally. However, my belief is that because we use ideas in different
ways a new idea can interact with other ideas. There are moments when
something that is learned incrementally can be leveraged to produce leaps
of insight. I call this knowledge structural because it means that an idea
can suddenly provide some greater structure to knowledge related to a
particular subject. The new increment of knowledge that triggers the
structural insight may or may not be the key that provides the leverage of
the structure. It may be that some new piece of knowledge just helps to
crystalize some structure in a way that helps the learner to better utilize
other knowledge.

In programming and computational mathematics we find distinctions between
things like operators and operands and you have to be able to find
distinctions between other different parts of a computation if you want to
use mathematics creatively. However, I think it is obvious that the
situation is more dynamic and more fluid in thought. Some information may
play some role based on some other information so that it can react with
some other information and we just cannot categorize how some piece of
information might be used before hand.  An AGI program has to be able to
find how information can work together to create greater structures of
knowledge. But for this to happen, the program has to be designed to
provide the structure that will ensure that the potential to build learned
structures is there.
Jim Bromer



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