We all know confidently incorrect people. People displaying dunning-kruger. The majority of those people have low education and without someone giving them objectively true feedback on their opinions through their developmental years, they start to believe everything they think is true even without evidence.
Memorizing facts, dates, and formulas aren’t what necessarily makes someone intelligent. It’s the ability to second guess yourself and have an appropriate amount of confidence relative to your knowledge that is a sign of intelligence.
I could be wrong though.
I think part of intelligence is the ability to recognize patterns that can be abstracted and generalized, and memorizing data is just one means of making the data available to your brain for pattern recognition. Like, if you come up with a possible theory, the quickest way to test it is to see if anything you already know would invalidate it; so the more you know, the more quickly you can sift through possible theories.
So, yeah—education reminds you that you might be wrong, while memorizing things gives you a tool to prove yourself wrong.