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Kaj_Sotala comments on Stuff That Makes Stuff Happen - Less Wrong
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Which isn't necessarily a bad thing. Either they'll get a right answer despite throwing the first possible solution at it, or they'll widely miss the mark, in which case they might actually realize that they've learned something by the time that the right answer is demonstrated.
You have a point. My (subconscious) priors on that end are skewed towards "Never, ever throw out solutions before you've laid things out properly" because of lots and lots of little personal experiences with complete failure modes due to stopping with the first solution I found.