How Do We Semantically Individuate Natural Numbers?

被引:2
|
作者
Buijsman, Stefan [1 ]
机构
[1] Inst Framtidsstudier, Stockholm, Sweden
基金
瑞典研究理事会;
关键词
ACQUISITION; MATHEMATICS; KNOWLEDGE; WORDS; PRINCIPLE; SENSE; COUNT; FOCUS;
D O I
10.1093/philmat/nkab001
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
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 tin fact semantically individuate numbers?
引用
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页码:214 / 233
页数:20
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