“The principle goal of education in the schools should be creating men and women who are capable of doing new things, not simply repeating what other generations have done.”
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To express the same idea in still another way, I think that human knowledge is essentially active.
This means that no single logic is strong enough to support the total construction of human knowledge.
Our problem, from the point of view of psychology and from the point of view of genetic epistemology, is to explain how the transition is made from a lower level of knowledge to a level that is judged to be higher.
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth.