ABSTRACT

The Approximate Number System (ANS) is a system that allows us to distinguish between collections based on the number of items, though only if the ratio between numbers is high enough. One of the questions that has been raised is what the representations involved in this system represent. I point to two important constraints for any account: (a) it doesn’t involve numbers, and (b) it can account for the approximate nature of the ANS. Furthermore, I argue that representations of pure magnitude with vehicles that have an imprecision in the value of the unit of measurement (further clarified through a formal model from measurement theory) fit both these requirements.

中文翻译：

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近似数字系统的表示

摘要

近似数字系统（ANS）是一个系统，它允许我们根据项目的数量区分集合，尽管前提是数字之间的比率足够高。提出的问题之一是该系统所涉及的表示是什么。我指出了任何帐户的两个重要限制：（a）它不涉及数字，（b）它可以解释ANS的近似性质。此外，我认为用测量单位值不精确的车辆（通过测量理论的正式模型进一步阐明）的纯幅度表示符合这两个要求。