Brahmagupta

A seventh-century Indian mathematician-astronomer who placed zero and negative numbers inside a shared system of arithmetic rules. In the Brāhmasphuṭasiddhānta, written at Bhillamala in 628, Brahmagupta recorded rules such as 0 + a = a, a − a = 0, and 0 × a = 0, along with arithmetic for fortunes and debts. Because zero notation and place value have a longer, many-stranded history, calling him the lone inventor of zero is misleading. His extension was not flawless: he left a nonzero number over zero as a fraction with zero denominator and incorrectly stated 0 ÷ 0 = 0. The error makes the story more instructive — accepting a new number and defining every operation consistently are different achievements. His astronomy and computation later traveled into Arabic-language scholarship.

This is a thought experiment about influence, not a verified historical fact.

Indian place-value notation and other computational traditions would have continued without Brahmagupta. What we would lose is one of the earliest explicit surviving records that places zero, positives, and negatives in one table of rules. Modern binary computation cannot be attributed directly to one seventh-century author.