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A Critique of Yablo’s If-thenism
Philosophia Mathematica ( IF 0.8 ) Pub Date : 2023-05-25 , DOI: 10.1093/philmat/nkad009
Bradley Armour-Garb 1 , Frederick Kroon 2
Affiliation  

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.

中文翻译:

对亚布罗的如果-那么论的批判

Stephen Yablo 使用在 Aboutness 中提出并在“如果-那么论”中发展的想法,试图改进数学中的经典 if-thenism,这一观点最初由伯特兰·罗素在他的《数学原理》中提出。Yablo 的既定目标是提供对“行星的数量是八”这样的句子的解读,其内容不能暗示“数字存在”。在介绍 Yablo 的框架之后,我们的论文提出了他的观点的一个问题,这个问题在文献中几乎没有被注意到。如果我们是对的,那么 Yablo 的 if-thenism 版本就不会成功。
更新日期:2023-05-25
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