从表面上看复数

Salvatore Florio, Øystein Linnebo
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引用次数: 0

摘要

复数逻辑是一种逻辑系统,在这种逻辑系统中,复数项和谓词作为原始表达式与普通一阶逻辑的单数资源并存。该系统的哲学意义取决于其所谓的两个特征:纯逻辑和提供比一阶逻辑更强的表达能力。本章首先介绍了复数逻辑的语言和公理,然后分析了复数逻辑在形而上学、数学哲学和语义学上的主要哲学应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Taking Plurals at Face Value
Plural logic is a logical system in which plural terms and predicates figure as primitive expressions alongside the singular resources of ordinary first-order logic. The philosophical significance of this system depends on two of its alleged features: being pure logic and providing more expressive power than first-order logic. This chapter first introduces the language and axioms of plural logic and then analyzes this logic’s main philosophical applications in metaphysics, philosophy of mathematics, and semantics.
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