A common-sense approach to the problem of the itinerary stadion

IF 0.7 2区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Irina Tupikova
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引用次数: 0

Abstract

Estimating the length of the Greek stadion remains controversial. This paper highlights the pitfalls of a purely metrological approach to this problem and proposes a formal differentiation between metrologically defined ancient measuring units and other measures used to estimate long distances. The common-sense approach to the problem is strengthened by some cross-over documentary evidence for usage of the so-called itinerary stadion in antiquity. We discuss the possibility of using statistical analysis methods to estimate the length of the stadion by comparing ancient routes with the actual distances. Simple numerical examples explain the limits of this approach, caused by the low number of data and by their mixed character. A special case of distances which can be calculated with the help of coordinates given in Ptolemy’s Geography is discussed, and has been shown to lead unavoidably to ambiguous solutions.

解决行程站问题的常识性方法
估计希腊体育场的长度仍然存在争议。本文强调了纯计量方法解决这一问题的缺陷,并提出了计量定义的古代计量单位与其他用于估计长距离的计量单位之间的正式区别。通过一些交叉的文献证据来加强对这个问题的常识性处理,这些文献证据证明了古代所谓的行程体育场的使用。我们讨论了使用统计分析方法通过将古代路线与实际距离进行比较来估计体育场长度的可能性。简单的数值例子解释了这种方法的局限性,这是由于数据数量少及其混合特性造成的。讨论了可以借助托勒密《地理学》中给出的坐标计算距离的一个特殊情况,该情况已被证明不可避免地会导致模糊的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Archive for History of Exact Sciences
Archive for History of Exact Sciences 管理科学-科学史与科学哲学
CiteScore
1.30
自引率
20.00%
发文量
16
审稿时长
>12 weeks
期刊介绍: The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.
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