A Cognitive Typology for Numerical Notation
A Cognitive Typology for Numerical Notation
复制标题
数值符号的认知类型学
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
S. Chrisomalis
中科院分区：
文献类型：
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作者：
S. Chrisomalis
与古代社会使用的文本和其他表征媒介相关的数字符号是重建过去认知过程的重要手段。然而，还没有令人满意的类型学来帮助理解数字符号和认知过程之间的关系。因此，关于计数发展的理论仍然陷入了一个单一的和种族中心主义的框架，在这个框架中，我们自己的（印度-阿拉伯或西方）数字被视为进化的最终阶段。本文建议，有两个单独的维度，需要考虑时，分类和评估数字符号系统，这些维度的结构在高度约束的方式。提出了一种新的类型学，其中系统被分为五个主要类型的基础上，这些方面。使用这种类型学，一个多线性模型的模式化的历时变化的数字符号系统，它驳斥了单线性进化理论和从根本上相对论的命题，关于个人在前现代社会中代表的数字。
The numerical notation associated with texts and other representational media used in ancient societies is an important means by which past cognitive processes may be reconstructed. No satisfactory typology exists, however, to help understand the relationship between numerical symbols and cognitive processes. As a result, theories concerning the development of numeration remain mired in a unilinear and ethnocentric framework in which our own (Hindu-Arabic or Western) numerals are seen as the ultimate stage of evolution. It is suggested herein that there are two separate dimensions that need to be considered when classifying and evaluating numerical notation systems, and that these dimensions are structured in highly constrained ways. A new typology is presented in which systems are classified into five major types on the basis of these dimensions. Using this typology, a multilinear model is presented for the patterned diachronic change in numerical notation systems, which refutes both unilinear evolutionary theories and radically relativistic propositions regarding how individuals in pre-modern societies represented numbers.