Yardstick

"I jumped a WHOLE finger-length out of the water!" the fish announced. "Huge! I'm the greatest jumper in the pond!"

"A finger-length," Yardstick said mildly. "Is that a lot? I honestly can't tell yet, and I'd be foolish to pretend I could." He tipped his head. "Compared to a tadpole, it's enormous. Compared to a leaping frog, it's modest. Compared to a heron in flight—" he ruffled a wing "—it's barely a hop. The jump didn't change size between those sentences. What changed is the thing I set it beside. A number on its own has no size at all. It borrows its bigness or smallness entirely from the reference you compare it against."

The fish deflated. "So my jump isn't automatically huge?"

"It may be huge — for a fish," Yardstick said kindly. "And that's the honest comparison, the fair reference class. 'Huge' with no yardstick isn't a fact; it's a feeling waiting for you to supply the ruler yourself. And here's the sly part: whoever hands you the bare number often chooses which comparison you'll reach for — or gives you none, so your fear or your hope picks the ruler. Name the reference out loud and you take that choice back."

He had learned it by being wrong about a number. As a young bird he'd been told a certain lake was "a mile across — impossibly far," and believed it the vastest water in the world, uncrossable. Then he flew over it in a lazy minute and felt cheated, sure his sense of size was simply broken. His grandfather, an old heron with a worn reed, had stood with him at the water. "Your sense of size isn't broken. You were handed a number with no reference. 'A mile' — is that far? You never asked compared to what?" He'd stretched a long wing. "A mile is a lifetime's journey for a crawling snail, a pleasant stroll for a deer, a minute's glide for us. The very same distance is vast or trivial depending on who crosses it — on the reference class you measure against." He'd tapped the reed. "So when someone hands you a big or a small, never just feel impressed or alarmed. Ask what it's measured against — and check that the reference is a fair one, not one picked to make you gasp. A number with no yardstick is a borrowed feeling. A number with the wrong yardstick on purpose is a trick."

Yardstick began carrying his own reed and asking compared to what? of every size he met. And the tricks stopped working — a "huge" figure stayed just a figure until he'd named a fair reference.

Later the fish returned, thoughtful. "But numbers are numbers. Isn't a big number just big?"