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Mathematics
Jan 11, 2026 10 min read

The History of Zero: How "Nothing" Changed Everything

For centuries, Western mathematics stumbled in the dark because it feared the void. It took an Indian astronomer to define nothingness as a value.

Try to multiply MCMXCIX by IV. If you are struggling, it is because Roman numerals lack a place-value system. They lack a zero.

Zero is the most profound invention in the history of mathematics. It is the pivot point of the number line, the gateway to negative numbers, and the foundation of calculus. Yet, it is a relatively recent addition to the human toolkit.


Babylon: The Placeholder

The earliest "zero" appeared in Ancient Babylon (modern Iraq) around 300 B.C. But it wasn't a number—it was punctuation.

Babylonian scribes used a wedge symbol to distinguish between 21 and 201. Without it, the value depended entirely on context. Imagine writing "1" and having to guess if it meant one, ten, or one hundred. This wedge was a **placeholder**, ensuring the columns of the abacus aligned correctly. But it had no value of its own. You couldn't add "nothing" to "something."

India: The Birth of 'Sunya'

The true zero was born in India in the 5th century A.D. The word used was sunya (Sanskrit for "empty" or "void").

The breakthrough came from the mathematician Brahmagupta in 628 A.D. In his treatise Brahmasphutasiddhanta, he did not just use zero as a symbol; he defined the rules of arithmetic with it:

  • "The sum of zero and a negative number is negative."
  • "The sum of zero and a positive number is positive."
  • "The sum of zero and zero is zero."

This was a philosophical revolution. In Greek philosophy, "nothing" could not exist, because existence was defined by being. In Indian philosophy, the void (Nirvana, Shunya) was a state of potentiality. This cultural acceptance allowed Indian mathematicians to embrace zero as a legitimate number.

The Middle East: Sifr to Zero

By the 9th century, zero traveled to Baghdad, the intellectual center of the world. The Persian mathematician Al-Khwarizmi (from whose name we get "Algorithm") adopted the Indian system.

The Arabic word for empty was sifr. When this traveled to Europe, it became zephirum in Latin, then zero in Italian. (Interestingly, sifr also morphed into the word cipher, meaning a code).

Europe: The Resistance

Europe resisted zero for centuries. The Roman Catholic Church found it suspicious, linking the void with the devil. Italian merchants, however, found Roman numerals terrible for bookkeeping.

Leonardo of Pisa (Fibonacci) was the champion of zero. In his 1202 book Liber Abaci, he introduced the "Hindu-Arabic" system to Europe. He showed that with just ten symbols (0-9), you could represent any number in the universe.

It took another 300 years for Europe to fully adopt it, largely driven by the printing press and the rise of banking.

The Digital Age: 0 and 1

Today, zero is half of the language of the universe. Every image, email, and video on the internet is reduced to a string of zeros and ones.

Gottfried Wilhelm Leibniz imagined a binary system in the 1600s, seeing a divine elegance in representing all creation with just "void" (0) and "substance" (1). He was right. The logic gates in the processor running this website operate on this exact binary principle.

Speaking of Binary...

Want to see how your name looks in the language of computers? Use our Binary Converter to translate text into 0s and 1s.