Fancifully Random

Typically, we think reproductively, that is on the basis of similar problems encountered in the past. When confronted with problems, we fixate on something in our past that has worked before. We ask, “What have I been taught in life, education or work on how to solve the problem?” Then we analytically select the most promising approach based on past experiences, excluding all other approaches, and work within a clearly defined direction towards the solution of the problem. Because of the soundness of the steps based on past experiences, we become arrogantly certain of the correctness of our conclusion.

In contrast, geniuses think productively, not reproductively. When confronted with a problem, they ask “How many different ways can I look at it?”, “How can I rethink the way I see it?”, and “How many different ways can I solve it?” instead of “What have I been taught by someone else on how to solve this?” They tend to come up with many different responses, some of which are unconventional and possibly unique. A productive thinker would say that there are many different ways to express “thirteen” and many different ways to halve something.