What Is the Origin of Zero?
发布时间:2026-09-10 | 浏览:2
January 16, 2007
What Is the Origin of Zero?
Before the concept of zero existed, how did people signify the absence of something?
By Robert Kaplan
How did we indicate nothingness before zero?
GOLDsquirrel/Getty Images
Robert Kaplan, author of The Nothing That Is: A Natural History of Zero and former professor of mathematics at Harvard University, provides this answer:
The first evidence we have of zero is from the Sumerian culture in Mesopotamia, some 5,000 years ago. There, a slanted double wedge was inserted between cuneiform symbols for numbers, written positionally, to indicate the absence of a number in a place (as we would write 102, the '0' indicating no digit in the tens column).
The symbol changed over time as positional notation (for which zero was crucial), made its way to the Babylonian empire and from there to India, via the Greeks (in whose own culture zero made a late and only occasional appearance; the Romans had no trace of it at all). Arab merchants brought the zero they found in India to the West. After many adventures and much opposition, the symbol we use was accepted and the concept flourished, as zero took on much more than a positional meaning. Since then, it has played avital role in mathematizing the world.
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Early representations of zero from the Babylonians, Mayans, Chinese and Hindus.
Amanda Montañez
The Babylonians displayed zero with two angled wedges.
The Babylonians displayed zero with two angled wedges.
The Mayans used an eyelike character to denote zero.
The Mayans used an eyelike character to denote zero.
The Chinese started writing the open circle we now use for zero.
The Chinese started writing the open circle we now use for zero.
The Hindus depicted zero as a dot.
The Hindus depicted zero as a dot.
The mathematical zero and the philosophical notion of nothingness are related but are not the same. Nothingness plays a central role very early on in Indian thought (there called sunya ), and we find speculation in virtually all cosmogonical myths about what must have preceded the world's creation. So in the Bible's book of Genesis (1:2): "And the earth was without form, and void."
But our inability to conceive of such a void is well captured in the book of Job, who cannot reply when God asks him (Job 38:4): "Where wast thou when I laid the foundations of the earth? Declare, if thou hast understanding." Our own era's physical theories about the big bang cannot quite reach back to an ultimate beginning from nothing--although in mathematics we can generate all numbers from the empty set. Nothingness as the state out of which alone we can freely make our own natures lies at the heart of existentialism, which flourished in the mid-20th century.
Answer originally posted Feb. 28, 2000.
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