Skip to main content

no historical likeness exists

c. 598 – 668Bhillamala, India

Brahmagupta

The rules of arithmetic when numbers can go below zero.

A short story

An Indian astronomer who wrote the first rule-book for two strange new ideas: zero as a number, and negative numbers as the answers to subtractions that go below it. Before Brahmagupta, a question like what is 2 minus 5? simply had no answer. He worked out the rules (like two steps backward then three more lands you five steps backward) and the whole left side of the number line was opened up.

In their own words

A number minus a larger number gives a negative. A fortune subtracted from a fortune leaves zero; a fortune subtracted from zero leaves the fortune as a debt.

Paraphrased: from Brahmagupta's Brāhmasphuṭasiddhānta, 628 CE, on the arithmetic of zero and negatives.

The lab their idea turned into

Frost Lab

Numbers go below zero too. Slide left into the cold.

Open Frost Lab