Shunyata: The Philosophy Behind the Number
How Buddhist and Jain philosophy gave birth to mathematics' most revolutionary concept
Discover how the philosophical concept of shunyata (emptiness and void) in Buddhist, Jain, and Upanishadic traditions laid the intellectual foundation for zero as a number.
The Monk Near the Krishna
Around 200 CE, in a stone-floored monastery on the banks of the Krishna river in what is now Andhra Pradesh, a monk named Nāgārjuna sat down at his writing slate to refute a charge that had followed him for years. His opponents accused him of preaching nihilism, of teaching that nothing exists at all. The accusation cut close. If it stuck, his entire school would be dismissed as a clever way of saying nothing. The slate was warm from his palm. Outside, the river ran low in the late dry season.
His reply would be a book of compressed Sanskrit verse, the Mūlamadhyamakakārikā, the Fundamental Verses on the Middle Way. And a single word, śūnya, would travel eighteen centuries before a mathematician in 628 CE borrowed it to name a new kind of number.
Before India gave the world zero, it had to do something harder. It had to make 'nothing' thinkable. Most civilizations never took that step. The Greeks, for all their geometric brilliance, stared at the idea of zero and recoiled. Aristotle declared that nature abhorred a vacuum, and Greek mathematics refused to treat absence as an object of study. The Babylonians, who needed placeholder notation for their base-sixty system, sometimes left a blank column and sometimes used a double-wedge sign, but they never committed to 'nothing' being a number you could compute with. The Chinese used counting rods and could represent the absence of a digit by leaving a space, but space was treated as the absence of a thing, not a thing in itself. The Romans, whose numerals still mark the chapters of old books, had no concept of zero at all.
India was different. For roughly seven centuries before Brahmagupta, Indian philosophers had been working through a set of questions that the Mediterranean world found unanswerable. What is nothing? Is absence a kind of presence? Can 'not being' be studied, named, and reasoned about?