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The Evolution of Zero

Published in Mathematics History 2 mins read

Who Discovered Zero?

The question of who discovered zero is complex, as its development involved contributions from multiple cultures over centuries. However, Brahmagupta, a 7th-century Indian mathematician, is widely credited with formalizing the concept of zero as a number and establishing its use in arithmetic and algebra.

While the concept of nothingness existed before, its formalization as a number with mathematical properties was a significant achievement.

  • Early appearances: Evidence suggests that a placeholder for zero appeared in Mesopotamia around 3 B.C. and was later used by the Mayans. These were primarily placeholders within a numeral system, not the concept of zero as a number itself.

  • Indian Contributions: The Bakhshali manuscript, an ancient Indian document, contains an early written instance of zero, with carbon dating suggesting its presence several centuries before Brahmagupta. Aryabhata, another significant Indian astronomer and mathematician, also contributed to the development and use of zero.

  • Brahmagupta's Formalization: Brahmagupta's work stands out due to his formalization of zero's mathematical properties, including its use in addition, subtraction, multiplication, and division (though division by zero remained undefined, as it does today). His work laid the foundation for the widespread adoption of zero.

  • Spread to other Cultures: From India, the concept of zero spread to other regions. Arab merchants and mathematicians, notably Mohammed ibn-Musa al-Khowarizmi, played a key role in transmitting this knowledge to the Middle East and eventually Europe.

Different Perspectives

The question of "discovery" versus "invention" is relevant here. Some argue that zero was discovered because it represents a fundamental mathematical concept already existing in the universe, while others argue it was invented as a human creation to address a mathematical need. Regardless, the development of zero was a gradual process, with contributions from many individuals and cultures.

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