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Archaeology Did ancient Cambodians invent the zero?

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Did ancient Cambodians invent the zero?

 

The zero can be seen as the dot at the very center of the photo.

The zero can be seen as the dot at the very center of the photo. COURTESY OF AMIR ACZEL

A little way outside Siem Reap, a few sheds and a makeshift office house thousands of ancient relics rarely seen by the millions who pass through the city to see the temples each year. On the ground at the Conservation d’Angkor Centre lie broken Buddha statues and severed stone heads – a Jayavarman VII here, a dusty linga there. Last year, on the January morning that Amir Aczel arrived, the place was empty.

The sixty-something American, a mathematician and author, had come to search for the evidence he had chased for the previous five years: an ancient stone slab on which was inscribed what he believed to be the first numeric zero ever recorded.

 

Between his fingers Aczel gripped the pencil rubbings and documents he believes prove that Cambodians were among the first people on earth – before the Europeans and Arabs – to use 0 to signify nothingness. Not even the Romans had invented such an advanced system as the one, illustrated by a stone marked “K-127”, that was somewhere in that room.

Finally, after hours of stalking the backs of stones to find one he recognised, Aczel landed on a familiar-looking reddish block. “I recognised the writing and thought: ‘Wow, this is it,’” he recalled in an interview over Skype last week. “It was an amazing moment. I’ll never have another moment like that in my life.”

 

 

The writing on the stone is ancient Khmer

The writing on the stone is ancient Khmer. Courtesy of Amir Aczel

 

Aczel was born, as he likes to tell people, on the high seas. The son of a cruise ship captain, he was raised around an eclectic and transient community and grew up to speak a host of different languages. But his interest in the history of numerals began while studying at the University of California, Berkeley. He went on to write 14 books about mathematics and physics, several of which have become international bestsellers.

His latest, Finding Zero tells the story of his recent search for proof that the concept of the numeric zero was invented in Asia, and possibly Cambodia – a eureka moment he goes so far as to call “the greatest invention of the human mind”. The book will be published by MacMillian early next year.

The story, which sees the author – in the words of the publisher – “doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross-examining so-called scholars”, starts in India. The first zero was once believed to have been found at the Chatur-bujha temple in the city of Gwalior. “I saw a lot of things there; then somebody told me that there was an earlier zero than the one in India,” said Aczel.

That zero was uncovered by George Cœdès, a 20th-century French scholar who dedicated his life’s work to Southeast Asian archaeology and history. An expert in ancient Khmer script, married to a Cambodian princess, Cœdès transcribed and translated thousands of inscriptions from monuments found in the region then known as Indochina.

At the time, most scholars agreed that the numerical zero was probably either a European or an Arab invention. One of the proponents of this theory was a British scholar named G.R Kaye, who launched searing attacks on Cœdès, who contended that the numeral came not from the West but from the East and, in particular, Cambodia. “It was pretty confrontational – the conflict between them,” said Aczel.

The first known use of a numerical zero in India was dated to the mid-ninth century, an era that coincided with the Arab Caliphate – so Kaye’s theory, which posited that the numeral had passed to the East via Arab traders, stood. “But Cœdès had a feeling that the zero had to come from Asia,” explained Aczel, adding that the researcher was more Asian in his thinking than Western.

It was Cœdès who coined the term “Indianised civilisation” to refer to the countries of Indochina. The phrase is frequently used to describe Angkor. Many of the illustrations on the walls of the ancient temple complex are drawn from the Ramayana and Mahabharata stories.

 

Amir Aczel, a mathematician and author

Amir Aczel, a mathematician and author. Courtesy of Amir Aczel

 

During his research, Cœdès heard about a stone among the ruins of a seventh-century Cambodian temple which was said to be inscribed with a numeric zero. In the early 1900s, he hunted it down to Sambor on Mekong, in present-day Kratie, and translated the text on the stone almost in full. On the slab is written a long list of the names of slaves to be given to the king with their children, alongside five pairs of bulls and white rice, by the “respectable people living here”.

But the key phrase is a date marker: “The Chaka era reached 605 in the year of the waning moon.” The date uses a numerical zero, and the Chaka era began in AD78, meaning the inscription was made in AD 683 – placing it a full two centuries earlier than the Indian zero. Cœdès’ paper was published in 1931 and put to rest the theories about European and Arab sources.

“The significance of K-127 to Cambodia is that it indicates that at present knowledge, the first zero – the most important number – is an ancient Khmer invention,” said Aczel. “Someone may find an earlier zero in India, but I personally bet against it.”

As for the stone, it was moved to the National Museum of Cambodia and then, in the late 1960s, to the Conservation d’Angkor. But when Aczel arrived, on the trail of Cœdès nearly four decades later, there was no guarantee the stone had survived the turbulent events of the preceding years.

During the nearly four years the Khmer Rouge was in power, the ultra-Maoist regime enslaved and plundered the country. Thousands of ancient artefacts were destroyed. In the aftermath of the regime, looting continued to plague the country’s ancient sites – the Conservation d’Angkor was among the targets.

When Aczel arrived in Phnom Penh in search of K-217, Hab Touch, the director of the National Museum, could confirm it had been there, but whether or not it remained there was unknown.

In a twist of fate, immediately after Aczel re-discovered it among the debris, the stone was removed by a pair of students who took it to a laboratory for restoration.

“From out of the blue, two women walked in – nobody goes in there! – speaking Italian and I told them about it,” said Aczel.

“One of them, she said, ‘Well, in that case we’ll take it!’”

The mathematician, who believes the stone belongs in a museum, considers its removal a bitter blow. Aczel said he hopes the book will persuade the authorities to take some action to retrieve it.

“Seeing is believing – K-127 can be felt, touched, scrutinised, learned from, admired, celebrated. It is immensely important.”

Did ancient Cambodians invent the zero? | Phnom Penh Post

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athena
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@zexsypmp23 the Arabs did not invent the zero. They introduced it to the Europeans. There are several competing theories on who invented the zero.

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athena
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@zexsypmp23 according to this article it came from a chant Mesopotamia, 5000 years ago which would predate the Cambodian text written in AD683.

https://www.scientificamerican.com/article/what-is-the-origin-of-zer/

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.

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.

 

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Rick Cool
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Arabs invented zero

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josh avatar
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Zero is the incredible invention that made our number system so efficient. This system was popularized in Europe after the publication, in 1202, of the book Liber Abaci.
But who invented the zero, which gives so much power to our number system?
We don't know who invented it, but we are pretty sure that the zero is an Eastern invention.

4,000 years ago, Babylon understood...
But the Babylonians didn't use a place-holding zero, so there were serious ambiguities in their system.

In the 1930s a zero from the year AD 683 was found in Cambodia, and its great antiquity allowed a French researcher by the name of Georges Coedes to prove that the zero is of Eastern provenance.

But this zero disappeared during the Khmer Rouge regime in Cambodia, and no one knew if it still existed. I spent five years researching its whereabouts and developed various hypotheses about where it might be found.
Then last year I was awarded a generous research grant from the Alfred P. Sloan Foundation...

He found it
How I Rediscovered the Oldest Zero in History
https://www.discovermagazine.com/techno ... in-history

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Our modern world is built on certain foundations that without which – one can scarcely imagine what our lives would look like. One of those is our numerical system, a key building block in every single part of modern civilization.
Cambodia origin of the number zero
3
 

But this system did not just appear out of nowhere.  There has to be an origin story.

And that’s exactly what scientists, archaeologists, and historians have been trying to figure out for decades.  It wasn’t until 2013 that we found the very first sign of where the number zero came from.  And it was somewhere that was rather unexpected.

 

Cambodia’s Ancient Roots

Deep in the Cambodian forest, just a few miles from Angkor Wat itself, historians found an ancient piece of stone leftover from the Khmer empire.  It has since been discovered that this stone formed part of a temple wall from the 7th century – but what made it so special was something inscribed on that wall.

Carved into the stone in pre-Angkorian Old Khmer was a date – year 605.  Interestingly, the zero in the middle of that date is the earliest known evidence of a civilization using the number zero as a base.  While we are pretty sure that the concept was in use for a few centuries before this, the actual inscription stands out as a real piece of history.

It’s fitting, perhaps, that such history would find itself in the Angkor Wat region which remains the largest and one of the most important religious relics of our world.  As far as civilization goes, that specific region holds so much of who we are and who we once were.  Numbers have become a language of their own and to see Cambodia holding the keys to such a historic discovery is really special.

This inscription, written in Old Khmer, reads “The Caka era reached year 605 on the fifth day of the waning moon.” The dot (at right) is now recognized as the oldest known version of our zero. Amir Aczel

 

Why Does it Matter?

We take numbers for granted today, but they truly are a remarkable human invention that has done more for cooperation and human flourishing than almost anything else.  The base-10 number system (which relies on the number zero) is at the core of how we think and act in the world.  It provides a standardized system that is shared globally and can be used to engage with each other in meaningful ways.

It also is the foundation of every technology that we have created to push the species forward.  Without it, we simply wouldn’t be here today.

For Cambodia, the origin of the Number Zero! this discovery was even more important because it cemented their place in the center of world history.  Few would think of the region when considering these sorts of game-changing advancements, but this is a reminder that the empires of South East Asia contributed an incredible amount to the world we see around us today.

Angkor Wat and the surrounding region remains a treasure trove of immense historical and sociological significance.  It is so much more than an ancient temple.  It holds the keys to an ancient civilization whose explorations and inventions have made it possible for us to live the sort of modern life we enjoy in the 21st century.

When you visit Angkor Wat, you immerse yourself in this history and you can peek into what humanity has managed to accomplish in a relatively short space of time.

Zero.  What would we do without it?

#1 Cambodia Best Keep Secret The Origin Of The Number Zero | Angkor Wat

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