In 1942, an American psychologist called Abraham Luchins published a
seminal experiment called the “Water Jug Problem” [1]. In this
experiment he investigated the cognitive
asset of mental flexibility—the ability to be adaptable in the way you
think and solve problems, as opposed to always thinking in the same,
rigid way.
To do this he asked people to answer a series of 10 numerical
problems. For each question the person had
to propose a simple equation
which allowed them to solve how the capacities of 3 different jugs could
deliver a desired quantity. For example, if jug A could hold 21 units,
jug 2 could hold 127 and jug 3 could hold 3 units, what equation was
needed to compute the desired quantity of 100 units?
Here is a full list of the 10 problems he set them.
All these problems (except number 8) could be solved using one
particular formula B – 2C – A. For problems 1-5 this was the simplest
solution. However for the subsequent problems (6-10) it was possible for
the person to use a simpler equation (either A + C or A - C) to solve
the problem. By designing the problems in this way Luchins was able to
explore whether the person’s experience of solving the first five
problems prevented them from realizing that the subsequent ones could be
solved by this simpler solution. In other words, demonstrating whether
their “familiar” routes of thinking and problem solving would
inhibit their ability to use a novel, more efficient, approach to solve
the problems.
Choosing the simplest solution?
Luchins gave the set of problems to two groups of people and recorded
what equations they used to solve each of the 10 problems. In the first
group, people answered all problems in order, while in the second
group, they were only given the last 5 problems.
What he found was that in the first group, the majority of people
used B – 2C – A on the later problems instead of choosing to use the
simpler solution. In addition, 64% completely failed to solve problem 8
(compared to 5% in group 2), which could be solved by the relatively
simple formula A – C, but not the familiar one. In contrast, almost
everyone in the second group—who skipped the initial problems—arrived at
the simplest answer for the later problems.
When good thoughts block better ones.
So arose the idea of the “Einstellung Effect”—a mentally undesirable
situation in which your familiar thoughts block or inhibit your ability
to generate novel solutions and ideas. They introduce a degree of
rigidity—where you steadfastly stand by what you know and think, often
blind to other interesting possibilities or more efficient alternatives.
And like many “biases” in your thinking, it all happens without you
even realizing it.
This Einstellung effect, explored more recently by researchers such
as Merim Bilalić from the University of Oxford [2,3], is one example
where “forgetting” can actually be beneficial—something that has also
been shown in other creative contexts. For example, researchers at the
University of California showed that people who were better at
“forgetting” recent distracting information (in this case, ideas
provided by the experimenter), were actually able to generate more novel
ideas on a creativity task [4].
Regretful thinking and fear inhibit flexibility
There are also other examples of how your inability to “let go of the
past” prevents you from being flexible. Take the example of regret, a
feeling that can prevent you from choosing the optimal action to take,
causing you to “shut down"—paralyzed by the fear of making the wrong
decision as you recollect the unpleasant outcomes of your past choices
[5,6].
However, you also have inbuilt mechanisms to help you “extinguish” or re-program these unpleasant memories
(a process called fear extinction), allowing you to flexibly update and
adjust your thoughts and behavior in line with the ever-changing environment [7]. The neural
dynamics of this memory re-programming have even been shown using
neuroimaging techniques such as electroencephalography (EEG). For
example, researchers from Justus-Liebig University Giessen and Harvard
Medical School measured EEG activity when people underwent a “fear
extinction” task [8]. They found that when people recalled memories of
feared experiences, it was associated with changes in theta activity
across anterior mid cingulate cortical sites. In contrast, when they
recalled the “reprogrammed” memories where this fear had been
extinguished, it was associated with changes in gamma activity across
ventromedial prefrontal sites.
Staying flexible
Mental flexibility is your ability to update, inhibit and overcome
well-worn neural pathways to ensure that you are capable of adapting to
your diverse and ever changing technological and social environment. It
is the cognitive asset that has enabled humans to be so evolutionarily
successful across a diverse range of experiences. Understanding the weaknesses in our mental flexibility, such as those illustrated by the Einstellung effect, and learning more about how we can make it more efficient, is therefore key to creating human success stories across the globe.
ABOUT AUTHOR
Tara Thiagarajan, Ph.D., is the Founder and Chief Scientist and Jennifer Newson, Ph.D., is a lead scientist at Sapien Labs, where they research brain activity and its relation to mental health.
Online: sapienlabs.org
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