Geoff: More germane to your example, my sister worked for Wells Fargo for 43 years. Back when she was handling actual money, she’d be counting a bundle of a hundred $20 bills (something they do with EVERY stack of bills they get and every stack of bills they turn in), as fast as she could, and stop at one bill. She knew WHY she stopped – something wasn’t right about it, but it would take quite a while to consciously figure out WHAT is was about the bill that stood out to her subconscious. She’d KNOW it was counterfeit because it happened a few times a year and it “felt” the same, but her subconscious had figured it out in a tiny small fraction of a second while her conscious mind took vastly longer to compare and contrast with other bills.
There’s a point towards the end of doing a 1,000- or 2,000-piece puzzle when there are a few dozen pieces left that I love. I’ve been staring at these pieces and the larger picture for many hours and I go into this Svengali mode and it feels like my arm, not my brain, is reaching for a piece knowing exactly where it goes.
In a dozen years of coaching math, I’ve had 4 students who had the two breakthroughs I’ve gotten many students through, but then had a third and then they’re seeing THE most efficient perspective on a problem AND resolving the answer faster than you or I could simply read the question. As middle-school students. Problems that most STEM college students couldn’t figure out. And their response time is as if you’d been asked “What’s 8 times 7 ?” It looks like magic to anyone who didn’t spend several hours a week over many years putting really challenging problems in front of them. 80th place nationally, on one hand, isn’t super spectacular as an individual but for three such students to come from a tiny Alaskan town (and the fourth, Xiling, will do much better now that he “ages in” as a 6th grader) suggests to me that there is vast, untapped, human potential.
Kenai/Soldotna has about the same (free) population as ancient Athens. They had Socrates, Plato, and Aristotle. We should expect to produce as many highly creative individuals.