Lumi

A young toad named Bo sat staring at a definition, thoroughly lost. It was abstract words explaining an abstract idea by means of more abstract words, and not one syllable of it touched anything he could see. "I've read it ten times," he said, hopeless. "It's just fog. Big words about big words, going in a circle."

"Of course it's fog," said Lumi, glowing a shade brighter. "There is nothing in it your mind can get a picture of, so there's nothing for the idea to stick to. Let's fix that. Set the fuzzy definition aside for a moment. Give me one real example — one actual, specific thing out in the world that this idea is about."

Bo thought hard, and slowly hauled up one concrete, particular example — a real thing, not a fuzzy word standing in for one.

"Yes — that!" said Lumi. "Now, can you see it? A real, specific one, clear in your head?"

Bo could. And the instant the picture came into focus, the foggy definition quietly rearranged itself into sense — because at last it had something solid to be about.

"That's the whole of it," said Lumi. "An abstract idea is a shape with nothing inside it, and your brain simply cannot grip an empty shape — it slides off. An example is the something-inside. Put a real, picture-able thing into the shape and suddenly there's a handle to hold."

She taught the children to reach for it every time a thought turned to fog: stop, and ask, "what's one real example I could actually see?" — then find one, dig it up or invent it, and picture it sharply.

"And more examples, more different from each other, are better still," she added. "One example teaches you the idea. Two or three unlike examples teach you its edges — where the idea starts and where it stops, what belongs inside it and what only looks like it does. One example alone can quietly fool you: you learn that one case and mistake it for the whole rule. It's the second and third, deliberately different, that show you the true shape."

Bo tried it on an entire page of foggy ideas, refusing to move past any of them until he had at least one concrete example he could picture — and, where he could manage it, a second, unlike the first. Some he had to hunt for; some he simply made up. But every last one turned from grey fog into something with edges and a shape.

"It's like walking into a dark room and finding the light switch," Bo said. "Everything was already in there. I just couldn't see any of it."

"That's my favourite thing about being a firefly," said Lumi, glowing. "Fog is only a room with the light off. One good example — click — and you can see everything that was there the whole time."

She left him with one caution, gently: "Make the example real and specific. Not another fuzzy word wearing a disguise. If you can't actually picture it, it isn't concrete enough yet — keep digging until you can see it plainly."