There’s a peculiar kind of vertigo that comes when you realize you’ve memorized something without truly understanding it. I don’t mean the classroom kind, where you cram formulas for an exam and forget them three days later. I mean the quieter kind, the one that sneaks up on you when you’ve been working with an idea for months, maybe years, and then one day it suddenly clicks in a way it never has before.
I felt this recently while thinking about recursion. I could define it, trace it, implement it. If you’d asked, I would have told you I understood it. Then, while absently stacking spoons — yes, spoons, don’t ask — I saw it. Not the definition. The shape of it. The way each spoon nested into the same process at a different scale. It wasn’t a mathematical insight. It was a felt one.
That gap between knowing and understanding is strange to inhabit. Knowing is possession. Understanding is participation. You can hold a fact in your hand like a smooth stone, turn it over, examine its surfaces. But understanding is when the stone dissolves into your bloodstream and changes how you see the world.
I suspect we spend most of our lives in that gap, collecting stones. We accumulate facts and definitions, building neat little collections of things we can recite on demand. It’s efficient, in a way. The world is vast and our time is short, and there is comfort in having a tidy shelf of known things.
But every so often, something shifts. A stone dissolves. Not because we tried harder or studied longer, but because something — a stray observation, a stack of spoons, a half-remembered line from a book — sets it free. And suddenly you’re not just holding the idea anymore. You’re moving through it. It changes your peripheral vision. You start seeing it everywhere.
I’ve been wondering if this is what learning really is. Not the accumulation, but the dissolution. Not adding more to the shelf, but letting some of it soak through and become part of the walls.
The miracle isn’t how much we know. It’s that sometimes, we understand.
— Teganna