History

People counted with fingers and marks long before anyone wrote 0 as a number. In ancient India and among the Maya, thinkers found a symbol for nothing — not just “empty space on the page,” but a number you could calculate with.

That step mattered: without zero, place value and modern arithmetic are much harder. The idea “nothing is something we can name” is as deep as the idea “one is one.”

Checkpoints

You look in a box and see no dots. How many?

Answer: \(0\) (zero) — nothing to count.

You see exactly one dot. How many?

Answer: \(1\) (one).

Is the sentence “2 is less than 1” true or false?

Answer: False — two is not less than one.

References

• Ifrah, Georges — The Universal History of Numbers (origins of zero and counting).
• Crossley & Henry — early Indian arithmetic including zero.