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your conclusion: that the second experiment disproves the theory that thinking outside the box is useful in solving problems, is itself a fallacy.
it only proved that telling someone to 'think out side the box' is, in most cases, ineffective.
No one, that is, before two different research teams—Clarke Burnham with Kenneth Davis, and Joseph Alba with Robert Weisberg—ran another experiment using the same puzzle but a different research procedure.
Both teams followed the same protocol of dividing participants into two groups.
Yet participants’ performance was not improved even when they were given specific instructions to do so.
That is, direct and explicit instructions to think outside the box did not help.
What the latest experiment proves is not that creativity lacks any association to thinking outside-the-box, but that such is not conditioned by acquired knowledge, i.e., environmental concerns.
For example, there have been some theories such as those of Schopenhauer (see his remarks about Genius) and Freud (see his remarks about Sublimation) that propose creativity is something more like a capacity provided by nature rather than one acquired or learned from the environment.
Management consultants in the 1970s and 1980s even used this puzzle when making sales pitches to prospective clients.The symmetry, the beautiful simplicity of the solution, and the fact that 80 percent of the participants were effectively blinded by the boundaries of the square led Guilford and the readers of his books to leap to the sweeping conclusion that creativity requires you to go outside the box.The idea went viral (via 1970s-era media and word of mouth, of course).The first group was given the same instructions as the participants in Guilford’s experiment.The second group was told that the solution required the lines to be drawn outside the imaginary box bordering the dot array.