关于数字的Buck Stopping识别†

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2021-02-01 DOI:10.1093/philmat/nkab009

Dongwoo Kim

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引用次数: 1

摘要

克里普克观察到，十进制数字具有止逆性：当一个数字以十进制表示法给出时，就不存在它是什么数字的问题了。是什么让它们以这种方式变得特别？根据克里普克的说法，这是因为结构启示：每个十进制数字代表对应数字的结构。我认为，尽管这篇报道很有见地，但也有一些违反直觉的后果。然后，我根据我们如何指定数字在级数中的位置，绘制了一个关于止推性质的替代说明。

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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On the Buck-Stopping Identification of Numbers

Kripke observes that the decimal numerals have the buck-stopping property: when a number is given in decimal notation, there is no further question of what number it is. What makes them special in this way? According to Kripke, it is because of structural revelation: each decimal numeral represents the structure of the corresponding number. Though insightful, I argue, this account has some counterintuitive consequences. Then I sketch an alternative account of the buck-stopping property in terms of how we specify the positions of numbers in the progression.

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来源期刊

Philosophia Mathematica HISTORY & PHILOSOPHY OF SCIENCE-

CiteScore

1.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Philosophia Mathematica is the only journal in the world devoted specifically to philosophy of mathematics. The journal publishes peer-reviewed new work in philosophy of mathematics, the application of mathematics, and computing. In addition to main articles, sometimes grouped on a single theme, there are shorter discussion notes, letters, and book reviews. The journal is published online-only, with three issues published per year.