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How Do We Semantically Individuate Natural Numbers?†
Philosophia Mathematica ( IF 1.1 ) Pub Date : 2021-04-05 , DOI: 10.1093/philmat/nkab001
Stefan Buijsman 1
Affiliation  

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?

中文翻译:

我们如何在语义上区分自然数?†

非专家如何挑出数字以供参考?Linnebo 辩称,他们这样做是使用基于数字序数特性的身份标准。另一方面,当新逻辑主义者援引休谟原则时,他们声称基本属性是个体化的基础。我讨论了来自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对数字进行个体化。我使用这些发现来开发一个混合了序数和基数属性的替代帐户,以提供对以下问题的详细(尽管尚未最终证明)答案:我们实际上如何在语义上对数字进行个体化?
更新日期:2021-04-05
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