Tag: the singularity


Mar 2010

The Singularity and the Chinese History of Chess

While reading up on one of my favorite topics, the technological singularity, I recently came across this interesting passage in an article by renowned futurist Ray Kurzweil entitled The Law of Accelerating Returns:

> To appreciate the nature and significance of the coming “singularity,” it is important to ponder the nature of exponential growth. Toward this end, I am fond of telling the tale of the inventor of chess and his patron, the emperor of China. In response to the emperor’s offer of a reward for his new beloved game, the inventor asked for a single grain of rice on the first square, two on the second square, four on the third, and so on. The Emperor quickly granted this seemingly benign and humble request. One version of the story has the emperor going bankrupt as the 63 doublings ultimately totaled 18 million trillion grains of rice. At ten grains of rice per square inch, this requires rice fields covering twice the surface area of the Earth, oceans included. Another version of the story has the inventor losing his head.

exponential growth

> It should be pointed out that as the emperor and the inventor went through the first half of the chess board, things were fairly uneventful. The inventor was given spoonfuls of rice, then bowls of rice, then barrels. By the end of the first half of the chess board, the inventor had accumulated one large field’s worth (4 billion grains), and the emperor did start to take notice. It was as they progressed through the second half of the chessboard that the situation quickly deteriorated. Incidentally, with regard to the doublings of computation, that’s about where we stand now–there have been slightly more than 32 doublings of performance since the first programmable computers were invented during World War II.

> This is the nature of exponential growth. Although technology grows in the exponential domain, we humans live in a linear world. So technological trends are not noticed as small levels of technological power are doubled. Then seemingly out of nowhere, a technology explodes into view. For example, when the Internet went from 20,000 to 80,000 nodes over a two year period during the 1980s, this progress remained hidden from the general public. A decade later, when it went from 20 million to 80 million nodes in the same amount of time, the impact was rather conspicuous.

the singularity

I’d never heard the claim that the Chinese invented chess; I’ve always heard that the game was invented by the Indians or Persians and then later iterated by the Chinese. Kurzweil’s story also seems a bit suspect to me because of its reference to “squares,” which does not match the forms of Chinese chess I’m familiar with, but then again I’m no expert on any kind of chess. Wikipedia has this information on the history of chess in China:


> Joseph Needham posits that “image-chess,” a recreational game associated with divination, was developed in China and transmitted to India, where it evolved into the form of modern military chess. Needham notes that dice were transmitted to China from India, and were used in the game of “image-chess.”

> Another alternative theory contends that chess arose from Xiangqi or a predecessor thereof, existing in China since the 2nd century BC. David H. Li, a retired accountant, professor of accounting and translator of ancient Chinese texts, hypothesizes that general Han Xin drew on the earlier game of Liubo to develop an early form of Chinese chess in the winter of 204–203 BC. The German chess historian Peter Banaschak, however, points out that Li’s main hypothesis “is based on virtually nothing”. He notes that the “Xuanguai lu,” authored by the Tang Dynasty minister Niu Sengru (779–847), remains the first real source on the Chinese chess variant xiangqi.

In my half-assed 5-minute Wikipedia/Baidu Zhidao research, I don’t see reference to the emperor of China sponsoring the invention of any form of chess. Could this be an inaccurate reference to Han Xin (韩信), who is connected to the history of Chinese chess (象棋)? If anyone has more info, I’d love to hear it. Is Kurzweil’s story about Chinese chess, rice grains, and exponential growth just another fake Chinese anecdote, or is there anything to back it up?

Chinese Chess, 中国象棋