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> The way we found one variant of wheat in Mexico that was resistant to bacteria, and replicate that to the whole world

Great analogy.

Borlaug's famous Mexican dwarves.

> > ... found one variant of wheat in Mexico ...

According to the Wikipedia page of Norman Borlaug, he _developed_ that variety of wheat.

> how were they able to tap in to this hidden reservoir of knowledge.

My guess would be by filling the reservoir first. After filling it, then you can stir it and extract new knowledge. In other words: you get better at math by studying, reading, and thinking a lot about math. I don't think there has been a brilliant mathematician who has not immersed himself in math at first.

We all already do solve problems in our dreams. Even if you haven't awoken with a Eureka, surely you've occasionally found that something that was difficult to solve yesterday is obvious with a pair of fresh eyes.

how do we make this the default for everyone is the question I wonder about

You delete stupid prejudices from society, then it allows itself to do that. One group of people forcibly practicing it for idiotic reasons now plagued the whole field with its label, amplified by religious ideas. The irony is, it’s that same limitation that disallows to address itself and continues to propagate.