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.
No, education gives you a good faith foundation so your neural connections are well groomed and not messy. Arguing in good faith is the basis for what we consider a fact is, and our sciences and legal systems. It’s the basis of progress. It also stops you from being bamboozled, even by yourself, and prevents delusional thinking.
And in terms of IQ, yes, remembering facts DOES make an IQ score go up significantly.
Curiosity and openmindedness are related to intelligence, along with resiliency.