对雅布洛的If-thenism的批判

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2023-05-26 DOI:10.1093/philmat/nkad009

Bradley Armour-Garb, F. Kroon

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引用次数: 0

摘要

利用《关于》一书中提出并在《If-thenism》中发展起来的思想，斯蒂芬·亚布罗试图改进数学中的经典If-thenism，这一观点最初是由伯特兰·罗素在他的《数学原理》中提出的。Yablo宣称的目标是提供一个句子的阅读，比如“行星的数量是8个”，在某种内容上它不能暗示“数字存在”。在提出Yablo的框架之后，我们的论文提出了一个在文献中几乎没有被注意到的问题。如果我们是对的，那么亚布罗的“如果论”就不可能成功。

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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A Critique of Yablo’s If-thenism

Using ideas proposed in Aboutness and developed in ‘If-thenism’, Stephen Yablo has tried to improve on classical if-thenism in mathematics, a view initially put forward by Bertrand Russell in his Principles of Mathematics. Yablo’s stated goal is to provide a reading of a sentence like ‘The number of planets is eight’ with a sort of content on which it fails to imply ‘Numbers exist’. After presenting Yablo’s framework, our paper raises a problem with his view that has gone virtually unnoticed in the literature. If we are right, then Yablo’s version of if-thenism cannot succeed.

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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.