Absence perception and the philosophy of zero

被引：9

作者：

Barton, Neil ^{[1
]}

机构：

[1] Kurt Godel Res Ctr Math Log KGRC, Wahringer Str 25, A-1090 Vienna, Austria

来源：

SYNTHESE | 2020年 / 197卷 / 09期

基金：

奥地利科学基金会;

关键词：

Number cognition; Zero; Absence perception; Ontogeny; NUMBER WORDS; REPRESENTATION; PRECURSORS; SET;

D O I：

10.1007/s11229-019-02220-x

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：

Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating (1) an account of numbers as properties of collections, (2) work on the philosophy of absences, and (3) recent work in numerical cognition and ontogenetic studies.

引用

页码：3823 / 3850

页数：28

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