earth’s a square, heaven a circle

Liangzhu culture bi, from the Freer Gallery

In China before the first century BGC, the ground on which persons lived was thought at its limits to be square.  What was above that ground was thought at its limits to be round.  Denote the first space as earth, and the second, as heaven, while carefully ignoring current ideas, beliefs, and knowledge associated with earth and heaven. Then ponder this Chinese text that probably dates from before the first century BGC:

The square pertains to Earth, and the circle pertains to Heaven.  Heaven is a circle, and Earth is a square.[1]

This cosmography is known as gai tian.  Fragments of a Chinese poem written about 300 BGC detail it:

The square earth is a chariot;
The round heaven is its canopy.[2]

Gai tian cosmography seems to have deep historical roots in Chinese culture.  Persons living about 3300 to 2250 BGC in the region of present-day Shanghai (whose culture is known as Liangzhu culture) expended enormous effort to make jade disks (called bi) and circle-in-square jade objects (called cong).[3]  Abstraction and formal simplicity don’t typically characterize folk art, even highly cultured folk art.  Consider, for contrast, ancient Chinese bronzes such as those from the late Shang dynasty (1300 to 1050 BGC).  These objects are intricately designed and feature fantastic life forms.  They are emotionally and spiritually evocative. Their aesthetic is wholly unlike that of Liangzhu bi and cong.

Liangzhu bi and cong are plausibly related to gai tian cosmography. Bi and cong are typically found in materially rich (high status) burials, where they are placed on the body of the buried person.  Non-decorative markings found on some bi link them to ritual sacrifice and indicate an orientation to the center and circular motion like that associated with a circular heaven.[4]  Cong might be interpreted as providing a path to heaven (circle) through the earth (square).[5]  A Chinese text from about the second century BGC associates cong with earth and bi with heaven.[6]  The cosmic significance of the circle and square helps to explain the peculiar aesthetic of the Liangzhu bi and cong.

Describing the earth as square was an unusual and persisting aspect of Chinese culture. Seafaring cultures have frequent opportunities to watch objects gradually disappear over the horizon. After the 5th century BGC, Greek and subsequent European writers consistently described the earth as spherical. However, the flatness of the earth at large is an intuitive sense in everyday life.  The belief that the world is flat is plausible enough that many persons today still believe that medieval Europeans believed that the world is flat.[7]  Thinking of the earth as a flat disk makes it easy to imagine the boundary between the earth and a domed-shaped space above.  But the Chinese described the earth as not just flat, but also square.  That description continued to have an important place in Chinese scholars’ thinking at least until their engagement with Jesuit astronomers in the seventeenth century.[8]

Chinese gai tian cosmography has parallels in some early Mediterranean sources. In the Christian New Testament, Revelation 7:1 states, “I saw four angels standing at the four corners of the earth….”  Revelations 20:8 refers to “nations at the four corners of the earth.”[9]  Imagining the earth as square is rather odd within the Hellenistic world of the early Christians.  That image of the earth, however, was common in Chinese civilization of that time.

A passage in Hebrew scripture places a circular heaven like a canopy above the earth.  Isaiah 40:22 declares:

It is he [God] who sits above the circle of the earth,
and its inhabitants are like grasshoppers;
who stretches out the heavens like a curtain,
and spreads them like a tent to live in;

In this passage, God looks down on the ensemble of the heavens and the earth, hence “circle of the earth” describes the shape of the heavens/sky above the earth.  The heavens are like a curtain, similar to a canopy, stretched above the earth.  That is the sort of configuration imagined in gai tian cosmography.

A passage in the book of Job connects the shape of the heavens to a flat, circular luxury object.  In Job 37:18, Elihu asks Job, “Can you, like him [God], beat out [raqa] the skies, hard as a molten mirror?”[10] Mirrors were personal luxury items in the ancient world.  They were flat and usually roundish.  The word for beat out, raqa, is the root for the world firmament/dome in Genesis’s account of the creation of the world (“Let there be a dome in the midst of the waters….  God called the dome Sky”).[11]  Hence the mirror in this passage in Job relates to heaven like a Chinese bi does.

A square earth and a circular heaven, the curious elements of gai tian cosmography, can thus be found in scattered pieces in Hebrew and Christian scripture.  But such fragments do not only exist there.

In the fifth-century BGC Etruscan Tomb of the Monkey in Chiusi, Italy, sirens placed at four quarters of a square hold up a circle.  Sirens were associated with birds conveying souls to heaven and celestial representations on ceilings in early Greek and Etruscan art.  Moreover, the canopy was a common symbol of heaven.[12] Hence this fifth-century BGC tomb in Italy could be interpreted as representing gai-tian cosmography.

Perhaps these fragments of western Eurasian cosmography merely indicate general patterns of human imagination. They may have developed independently of eastern Eurasia gai-tian cosmography and been understood much differently.  But don’t dismiss too readily that considerable communication occurred across Eurasia thousands of years before the Internet.[13]  The wise men from the East who came to pay homage and give gifts to the child Jesus in Bethlehem may have been Chinese.[14]

Liangzhu culture cong, from the Freer Gallery

Read more:

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Notes:

[1] Zhou Bi Suan Jing, #A6, trans. Cullen (1996) p. 174.

[2] Poem fragment by Song Yu, trans. Cullen (1996) p. 50.

[3] The Freer Gallery has an outstanding exhibit of ancient Chinese jades, including many bi and cong from the Liangzhu culture.

[4] See Teng (2000).

[5] Sanxingdui bo wu guan bian (2005) p. 92.

[6] Rites of Zhou.  See Lu (1990) p. 30.

[7] On the flat-earth myth in Western culture, see Jeffrey Burton Russell, The Myth of the Flat Earth (1997), and for more details, his book, Inventing the Flat Earth (1991).

[8] Cullen (1976), p. 107, notes:

Chinese thought on the form of the Earth remained almost unchanged from early times until the first contacts with modern science through the medium of Jesuit missionaries in the seventeenth century. While the heavens were variously described as being like an umbrella covering the Earth (the Kai Tian theory), or like a sphere surrounding it (the Hun Tian theory), or as being without substance while the heavenly bodies float freely (the Hsüan yeh theory), the Earth was at all times flat, although perhaps bulging up slightly.

At least one 13th-century Chinese scholar apparently challenged earlier the belief that the earth was square.  Mathematician Li Zhi argued that the earth must have rounded rather than square corners.

[9]  This and other biblical quotations, unless otherwise noted, are translations from the New Revised Standard Version.

[10] Translation from the Wikipedia entry for shamayim.

[11] The King James Version of the bible used the word “firmament” in the place of “dome.”  Wikipedia’s firmament entry describes the source of that translation:

The original Biblical Hebrew raqia, or raqiya` ( רקיע), is derived from the root word raqa ( רקיע) “to beat or spread out”, e.g., the process of making a dish by hammering thin a lump of metal. However, in Syriac this root word had adopted the meaning “to make firm or solid”, which led to the erroneous translation of raqia as “that which strengthens or supports” (i.e., Greek stereoma) in the Septuagint (circa 200BC). This was then carried forward from Greek into the Latin Vulgate translation (as firmamentum), and from Latin into English as firmament in the 13th century. The King James Bible later entrenched the use of the term firmament.

[12] See Lehmann (1945) pp. 2.-4. Id. Fig. 2 provides an image of the ceiling of the Tomb of the Monkey in Chiusi.

[13] Soper (1947) traces across Eurasia the influence of western Eurasian images of the dome of heaven. While id. emphasizes diffusion from west to east, the same communication channels could work in the reverse direction.  Cullen (1996), p. xiii, states, “ancient Chinese astronomical theory and practice appears to have had no significant connections with the worlds of Hellas, Babylon or Egypt.”  See above for apparent connections.

[14] Landau (2008) translates and analyzes an ancient Christian apocryphal writing called Revelation of the Magi.  In that text, the magi who journeyed to Jesus came from “the great East” (RevMagi 1:2), from a land called Shir:

These are kings, sons of Eastern kings,in the land of Shir, which is the outer part of the entire East of the world inhabited by human beings, at the Ocean, the great sea beyond the world, east of the land of Nod, that place in which dwelt Adam, head and chief of all the families of the world. (RevMagi 2:4)

Shir is mentioned in other ancient sources.  It seems to be connected with China and the silk trade.  See Landau (2008) pp.  261-2.  On the other hand, that Adam dwelt in China is clearly mythical.  The Armenian Smbat the Constable journeyed to the great Mongol court at Karakorum in the mid-thirteenth century.  In a letter in 1248 to King Henry I of Cyrprus, Smbat wrote that the magi (Three Kings) had come from Tanchat (Western Xia, present-day China) and that there are “many Christians scattered over the East, and many fine churches.” Although Smbat was correct about the presence of Christians in central Asia and China, most ancient commentators thought that the Magi came from Persia. In ancient western Eurasia, frankincense and myrrh were found in what is now Yemen, Oman, and Ethiopia.

References:

Cullen, Christopher. “A Chinese Eratosthenes of the Flat Earth: A Study of a Fragment of Cosmology in Huai Nan tzu 淮 南 子”, Bulletin of the School of Oriental and African Studies, Vol. 39, No. 1 (1976), pp. 106-127 (107).

Cullen, Christopher. 1996. Astronomy and mathematics in ancient China: the Zhou bi suan jing. Needham Research Institute studies, 1. Cambridge: Cambridge University Press.

Landau, Brent Christopher. 2008. The sages and the Star-Child: an introduction to the Revelation of the Magi, an ancient Christian apocryphon. Thesis (Ph.D.)–Harvard University, 2008.

Lehmann, Karl. 1945. “The Dome of Heaven”. Art Bulletin. 27 (1): 1-27.

Lu, Yaw. 1990. Lee Kong Chian Art Museum: collection of Chinese ceramics, bronze, archaic jade, painting & calligraphy in the light of recent archaeological discoveries. Singapore: Singapore University Press.

Sanxingdui museum (Guanghan, Chine). 2005. San xing dui: gu shu wang guo de shen mi mian ju. Bei jing: wu zhou chuan bo chu ban she.

Shu-p’ing, Teng. 2000. “The Original Significance of Bi Disks: Insights Based on Liangzhu Jade Bi with Incised Symbolic Motifs”. Journal of East Asian Archaeology. 2 (1/2): 165-194.

Soper, Alexander Coburn. 1947. “The ‘Dome of Heaven’ in Asia”. Art Bulletin. 29 (4): 225-248.

location-based mobile phone management

Despite the standard, stern command to attendees to turn off their mobile phones and wireless devices at a concert, lecture, religious service, etc., some persons always forget.  Remembering to do tedious tasks should be unnecessary.  Smart phones could supply an automatic courtesy setting.

Smart phones could have a courtesy mode that would shut the phone off in response to an electronic silence signal.  The individual user would be free to use the courtesy mode, or not use it.  The user could also over-ride the courtesy mode in an emergency or in response to an irresistible impulse to be obnoxious.

Location-based mobile phone management would have broader applications.  Some users might prefer no wireless calls at home in the evening. Others might prefer no calls on their personal mobile while they are at their workplace. Rather than requiring users to change continually the state of their phones according to location-based preferences, smart phones could implement location rules directly.

Mobile phone service providers now compete to provide more extensive geographic coverage. With relatively good geographic coverage across service providers, that competition can create little additional user value. Competition in location-based mobile phone management offers greater possibilities for creating user value and effectively differentiating services.  Location-based, managed-access to mobile phones is already being developed to address the problem of contraband cell phones in prisons and jails. This sort of technology potentially has wider and more general applications.

COB-53: Conway's Law

birds top a boat

Every educated person should understand the First Fundamental Theorem of Bureaucracy, also known as Conway’s Law. An illustration of the First Fundamental Theorem:

A contract research organization had eight people who were to produce a COBOL and an ALGOL compiler. After some initial estimates of difficulty and time, five people were assigned to the COBOL job and three to the ALGOL job. The resulting COBOL compiler ran in five phases, the ALGOL compiler ran in three.

More generally, “there is a homomorphism from the linear graph of a system to the linear graph of its design organization.”  Communicative boundaries, such as that between talking to yourself and talking to someone else, are the common structure of the design organization and the designed system.  Thus:

organizations which design systems … are constrained to produce designs which are copies of the communication structures of these organizations.[*]

If you want to understand the deep structure of the intelligently designed universe, study how bureaucrats communicate.

Other bureaucratic issues this month…

Josh Marshall, founder of Talking Points Memo (TPM), proudly describes TPM’s bureaucratic development:

We have a squad of reporters who report to editors. And those editors report to a managing editor.

Editing  is a crucial bureaucratic function.  The more layers of editors, the better the bureaucracy.

UK Independence Party leader Nigel Farage has launched another demagogic attack on European bureaucrats.  Just who the hell does he think he is? Bring Farage into the government as a Deputy Assistant Vice Department Head before he does any more damage.

We are pleased to report that Wikimedia, by far the most cost-effective educational institution in the world, has a user status formally designated as “bureaucrat“.  Bureaucrat is a higher administrative level than an administrator or sysop.  Bureaucrats help Wikimedia projects such as Wikipedia and Wiktionary  run smoothly.  Everyone should be thankful for the work of these and other bureaucrats.

That’s all for this month’s Carnival of Bureaucrats.  Enjoy previous bureaucratic carnivals here. Nominations of posts to be considered for inclusion in next month’s carnival should be submitted using Form 376: Application for Bureaucratic Recognition.

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[*]  This and the previous two quotations are from Conway, Melvin E. (April, 1968), “How do Committees Invent?“, Datamation 14 (5): 28–31.