It might seem like
an obvious piece of any numerical system, but the zero is a surprisingly recent
development in human history. In fact, this ubiquitous symbol for “nothing”
didn’t even find its way to Europe until as late as the 12th century. Zero’s
origins most likely date back to the “fertile crescent” of ancient Mesopotamia.
Sumerian scribes used spaces to denote absences in number columns as early as
4,000 years ago, but the first recorded use of a zero-like symbol dates to
sometime around the third century B.C. in ancient Babylon. The Babylonians
employed a number system based around values of 60, and they developed a
specific sign—two small wedges—to differentiate between magnitudes in the same
way that modern decimal-based systems use zeros to distinguish between tenths,
hundreds and thousandths. A similar type of symbol cropped up independently in
the Americas sometime around 350 A.D., when the Mayans began using a zero
marker in their calendars.
These early counting
systems only saw the zero as a placeholder—not a number with its own unique
value or properties. A full grasp of zero’s importance would not arrive until
the seventh century A.D. in India. There, the mathematician Brahmagupta and
others used small dots under numbers to show a zero placeholder, but they also
viewed the zero as having a null value, called “sunya.” Brahmagupta was also
the first to show that subtracting a number from itself results in zero. From
India, the zero made its way to China and back to the Middle East, where it was
taken up by the mathematician Mohammed ibn-Musa al-Khowarizmi around 773. It
was al-Khowarizmi who first synthesized Indian arithmetic and showed how the
zero could function in algebraic equations, and by the ninth century the zero
had entered the Arabic numeral system in a form resembling the oval shape we
use today.
The zero continued
to migrate for another few centuries before finally reaching Europe sometime
around the 1100s. Thinkers like the Italian mathematician Fibonacci helped
introduce zero to the mainstream, and it later figured prominently in the work
of Rene Descartes along with Sir Isaac Newton and Gottfried Leibniz’s invention
of calculus. Since then, the concept of “nothing” has continued to play a role
in the development of everything from physics and economics to engineerin
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