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history of mathematics - National STEM Centre

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The Babylonians<br />

Figure 1.6a Figure 1.6b<br />

10<br />

A drawback <strong>of</strong> these opaque clay envelopes was that they concealed the tokens from<br />

view, so they could not be counted or checked without destroying the bulla. So<br />

people began to impress the surface <strong>of</strong> the fresh, pliable clay ball with the number<br />

and rough shape <strong>of</strong> the tokens within.<br />

These marks are the crucial link between the three-dimensional token system and a<br />

two-dimensional writing system. Anyone familiar with the tokens could now 'read'<br />

the clay balls; the tokens themselves soon became superfluous.<br />

The earliest tablets, which supplanted the bullae but resembled them in size, shape<br />

and even convexity, also functioned as economic records. In time, the signs on the<br />

tablets became simplified, and small drawings <strong>of</strong> the tokens were incised with a<br />

pointed stylus. Although the signs used on the earliest tablets were not actual<br />

pictographs, newer words came to be depicted by true pictographs in the likeness <strong>of</strong><br />

the objects that they represented, as shown in Figure 1.7.<br />

gin/gub<br />

walMstand<br />

Figure 1.7<br />

musen<br />

bird<br />

hand<br />

gi sim mar<br />

dale-palm

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