By H. Cabannes, M. Holt, V. V. Rusanov
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Extra info for 6th Int'l Conference on Numerical Methods in Fluid Dynamics
I discuss only societies that possess numerical notation, and even then, there is rarely specific contextual information about how the numerals were used. However, it may be possible to determine whether different types of numerical notation have different cognitive effects on their users. It is often assumed that cumulative systems such as the Roman numerals represent “concreteness” in numeration because of their iconicity, while positional systems represent “abstraction” because of their infinite extendability (Hallpike 1986: 121–122; Damerow 1996).
In writing checks, numerical notation predominates, but dollar amounts are written out in full to prevent forgery. Such contrasts suggest that lexical and nonlexical representations should be treated separately. Thirdly, numerical notation systems and scripts exhibit very different patterns of geographical distribution and historical change. In part, this may be because scripts are largely phonographic, so their diffusion can be constrained by patterns of 22 Numerical Notation language use. Numerical notation, by contrast, is largely nonphonetic and translinguistic, and may diffuse more readily than scripts.
Diffusion may be, as Harris contends, a nonprinciple, but it is not a nonprocess. Comparing ancestor and descendant systems, and understanding the nature of the process of borrowing and adoption of cultural features, is absolutely essential to an evolutionary perspective on cultural change. Introduction 29 Technology, Function, and Efficiency Modern historians of science such as Thomas Kuhn (1962) have effectively demolished the myth of linear progressivism in science. While in some fields, the accumulation of knowledge leads to a better understanding of reality, and technical innovations likewise have antecedents, the burden of proof has now rightly shifted to those who wish to demonstrate that progress occurs.
6th Int'l Conference on Numerical Methods in Fluid Dynamics by H. Cabannes, M. Holt, V. V. Rusanov