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On the Buck-Stopping Identification of Numbers†
Philosophia Mathematica ( IF 1.1 ) Pub Date : 2021-04-05 , DOI: 10.1093/philmat/nkab009
Dongwoo Kim 1
Affiliation  

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.

中文翻译:

关于数字的降压识别†

Kripke 观察到十进制数字具有阻止降压的特性:当一个数字以十进制表示时,它是什么数字就没有进一步的问题了。是什么让它们如此特别?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相应数字的结构。我认为,虽然很有见地,但这种说法有一些违反直觉的后果。然后,我根据我们如何指定数字在进展中的位置,勾勒出一个关于降压停止属性的替代说明。
更新日期:2021-04-05
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