我们如何在语义上个性化自然数?__

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2021-02-01 DOI:10.1093/philmat/nkab001

Stefan Buijsman

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引用次数: 2

摘要

非专家如何挑选数字以供参考？Linnebo认为，他们这样做是基于数字的序数性质的同一性标准。另一方面，新逻辑学家在援引休谟原理时，声称基本性质是个性化的基础。我讨论了认知科学和语言学的经验数据，以回答非专家如何在实践中更好地个性化数字。我利用这些发现开发了一种混合序数和基数性质的替代方法，为这个问题提供了一个详细的（尽管没有最终证明）答案：我们实际上如何在语义上个性化数字？

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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How Do We Semantically Individuate Natural Numbers?

How do non-experts single out numbers for reference? Linnebo has argued that they do so using a criterion of identity based on the ordinal properties of numerals. Neo-logicists, on the other hand, claim that cardinal properties are the basis of individuation, when they invoke Hume's Principle. I discuss empirical data from cognitive science and linguistics to answer how non-experts individuate numbers better in practice. I use those findings to develop an alternative account that mixes ordinal and cardinal properties to provide a detailed (though not conclusively proven) answer to the question: how do we in fact semantically individuate numbers?

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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.