The Problem of Isomorphic Structures

被引：0

作者：

Griffin, Owain ^{[1
]}

机构：

[1] Ohio State Univ, Dept Philosophy, 337E Univ Hall,230 N Oval Mall, Columbus, OH 43210 USA

来源：

THOUGHT-A JOURNAL OF PHILOSOPHY | 2022年 / 11卷 / 04期

关键词：

structuralism; intuitionism; philosophy of mathematics; logic; realism; pluralism;

D O I：

10.5840/tht202441727

中图分类号：

B [哲学、宗教];

学科分类号：

01 ; 0101 ;

摘要：

Structuralism is one of the most popular contemporary accounts of mathematics. Despite its popularity, it has been challenged on the grounds of consistency. In this paper, I show that existing arguments purporting to establish an inconsistency miss the mark. I then proceed to develop a new argument against realist structuralism, to show that the commitment to mathematical pluralism and the structural identity criterion embraced by the realist structuralist jointly entail a contradiction.

引用

页码：206 / 214

页数：9

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