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How do we count things, and why are numbers useful?

Counting's Magic Trick
How do we count things, and why are numbers useful?
Counting is so ordinary that we forget it's a kind of **magic trick**. You point at things, say sounds in a fixed order,

Counting is so ordinary that we forget it's a kind of magic trick. You point at things, say sounds in a fixed order, and somehow the last sound tells you how many there are. That last word is doing a sneaky double job — and figuring out that trick is one of the oldest clever things humans ever did.

Long before written numbers, people kept track without counting at all. If a shepherd had a bag of pebbles, one pebble per sheep, then sheep going out and sheep coming back could be matched against the pebbles. No number needed — just "this one goes with that one." We call this matching things up one-for-one.

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