The article describes a situation (a trap) encountered by a party of four characters with varying Intelligence and Wisdom scores. Some of what it states I agree with, but other points I find lacking.
Now, I do think that the Cleric in the example is showing signs of intelligence by reasoning. However, the waters are further muddied by the idea that 'common sense' is simply a different level of reasoning. You aren't going to take a knife and stab yourself in the foot, because common sense dictates that it isn't going to feel good. Yet, you're showing reasoning abilities by understanding the effect of the action before you do it. Some people consider it to be something you know without having to reason, yet 'common sense' is learned just like anything else. A child under a certain age doesn't necessarily see this connection until it is taught, so we can't say that it requires no reasoning ability.
As far as aphorisms go, I've also heard, "Intelligence is the knowledge you possess. Wisdom tells you how and when to apply that knowledge."
You can therefore show intelligence by realizing that stabbing yourself in the foot is going to hurt. You show wisdom, then, by deciding not to stab yourself in the foot.
A Wizard with high Intelligence and low Wisdom may have at his disposal a wide array of highly destructive spells... but he doesn't necessarily take into consideration whether or not a maximized, heightened fireball is the best spell to use in a 20x20 room against a fire elemental.
In contrast, a Cleric with a high Wisdom but a low Intelligence may be well aware that something needs to be done, but may not know enough to do anything. They're not likely to act without knowing the full situation, and they may even realize that they simply don't have the knowledge necessary to enact any sort of plan.
The Cleric, in the example above, showed Wisdom by realizing that others in the party had more knowledge of the situation, and let those with the appropriate knowledge deal with the situation. Yes, sometimes the wisest action is to not take action.
It's also possible for someone to recognize that something needs to be done, and for them to try and do something despite having insufficient knowledge of the best path, which can cause problems on its own. This could be seen as someone succeeding at one wisdom check while failing the next, or even as a median level between 'average' and 'high' wisdom.
A person with low Intelligence and low Wisdom likely would react similarly to the fighter in the example: If they even recognize the problem, chances are good they only have a limited scope of how to deal with it, and they are likely to implement a solution without realizing (or caring) what the full effects would be.
A person with both high Intelligence and high Wisdom is the sort of person who can argue with himself endlessly, proposing argument and counter-argument, eventually making himself dizzy with circular logic.
Probably my favorite quote upon the topic, however, comes from an old movie, "The Seven Faces of Dr. Lao":
"Do you know what wisdom is?"
"No."
"Wise answer."
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