The Refutation of Singularism?

Salvatore Florio, Øystein Linnebo
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Abstract

Traditional analyses of plurals tended to eliminate plural expressions in favor of singular ones. These “singularist” analyses have recently faced many objections, which are intended to provide indirect support for the alternative analysis provided by plural logic. This chapter evaluates four such objections and concludes that they are less compelling than is often assumed. This conclusion is borne out by a close examination of various plural versions of Cantor’s theorem.
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对奇点论的反驳?
传统的复数分析倾向于消除复数表达,而倾向于使用单数表达。这些“单一性”分析最近面临许多反对意见,其目的是为多元逻辑提供的替代分析提供间接支持。本章评估了四种这样的反对意见,并得出结论,它们并不像人们通常认为的那样令人信服。这一结论是由康托尔定理的各种复数版本的仔细检查所证实的。
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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Plurals and Set Theory The Refutation of Singularism? The Semantics of Plurals Critical Plural Logic Plurals and Second-Order Logic
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