论文标题

观察为通用测量

Observement as Universal Measurement

论文作者

Green, David G., Morgan, Kerri, Cheong, Marc

论文摘要

测量理论是科学的基石,但是没有同等理论为现在生成的大量非数字数据所占据的基础。在这项研究中,我们表明,用替代数学模型(例如字符串和图形)代替数字,将传统的测量概括为提供严格的正式系统(“观察”),以记录和解释非数字数据。此外,我们表明这些表示已被广泛使用,并确定基于字符字符串和图形(网络)的表示中隐含的解释方法的一般类别。这意味着一种广义的测量概念有可能揭示新的见解以及不同研究领域之间的深厚联系。

Measurement theory is the cornerstone of science, but no equivalent theory underpins the huge volumes of non-numerical data now being generated. In this study, we show that replacing numbers with alternative mathematical models, such as strings and graphs, generalises traditional measurement to provide rigorous, formal systems (`observement') for recording and interpreting non-numerical data. Moreover, we show that these representations are already widely used and identify general classes of interpretive methodologies implicit in representations based on character strings and graphs (networks). This implies that a generalised concept of measurement has the potential to reveal new insights as well as deep connections between different fields of research.

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