When asked to prove if something is true or false, people tend to focus on confirming "the rule" as stated, rather than falsifying it. Humm that's sort of a brain twister, isn't it? As a result, even supposedly smart people can be quite illogical. That is, according to research psychologist Keith Stanovich, a prof at University of Toronto. His most recent book is What Intelligence Tests Miss: The Psychology of Rational Thought.
One way to prove what he means is this simple exercise, which I challenge you to take. It will give you an experience of what he means if you are willing to try it. And even if you do not get the correct answer, you'll learn more about yourself for the next time you are presented with a parallel situation: Imagine four cards sitting on a table.
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