A Simulation-Based View on Mesopotamian Computational Practices

Abstract

It is argued that iterative computations which are attested in Mesopotamian and other ancient sources can be productively analyzed and interpreted in a simulation-based framework. Ancient Mesopotamia present us with a rich body of textual evidence for computational practices over a period of more than three millennia. This paper is concerned with Mesopotamian iterative computations of empirical phenomena, where each iteration updates the values of certain quantities from one state to the next state. It will be argued that these computations can be fruitfully interpreted in the so-called simulation-based framework, which was recently developed by philosophers of science in order to better account for the role of simulations in modern science. This is exemplified on the basis of a text from the Ur III period (2100–2000 BCE) about the growth of a cow herd. Other Mesopotamian sources with iteratively computed sequences, in particular various types of mathematical tables, are ignored here, because they do not directly correspond to any phenomena. Section 1 briefly addresses some developments in the philosophy and historiography of science in order to introduce the simulation-based framework. Section 2 discusses the textual example. Section 3 contains the conclusions.