Mathematics
5 inventions in this category
Long division
In 1299, the city of Florence banned Arabic numerals from commercial ledgers and contracts. The official objection was fraud prevention: the digits 0...
Method of Exhaustion
Infinity first became usable when Greek geometers learned to trap a curve instead of touching it directly. The method of exhaustion, associated with E...
Placeholder zero
Placeholder zero emerged not from philosophical insight but from clerical necessity. Babylonian scribes working in base-60 positional notation faced a...
Positional numeral system
For 5,000 years, humans counted with tokens—small clay objects representing sheep, jars of oil, measures of grain. Temple accountants in Mesopotamia t...
Pythagorean theorem
The theorem that bears Pythagoras's name was in use more than a thousand years before he was born. Babylonian clay tablets from the Old Babylonian per...