华东师范大学学报(哲学社会科学版) ›› 2002, Vol. 34 ›› Issue (4): 37-42.doi: 10.16382/j.cnki.1000-5579.2002.04.008

• 哲学 政治 • 上一篇    下一篇

皮尔士与量词

张留华   

  • 收稿日期:2002-06-10 出版日期:2002-07-01 发布日期:2025-12-11

Peirce and Quantifier

Liu-hau ZHANG   

  • Received:2002-06-10 Online:2002-07-01 Published:2025-12-11

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摘要：

量词是逻辑学尤其是现代逻辑中的一个核心概念, 在逻辑分析和语言分析中有着特别的重要性。不少人认为是弗雷格首次给出了量词的现代逻辑意义, 但事实上皮尔士对于量词有着更为清晰、深刻的理解和表述。他提出了代数的和图表的两种表现形式, 而且还给出了量词的深刻的指号学语境。

关键词: 皮尔士, 量词, 指号学, 索引, 逻辑代数, 存在图表, 等值线

Abstract:

The quantifier is one of key conceps in logic, especially in modern logic. It always plays an important role in logical analysis and linguistical analysis. Many people think it is Frege who first provided the significance of quantifier in modern logic. However, the thorough investigation into the earlier period of modern logic suggests that Peirce even provide a clearer and more profound comprehension and representation. He gave both algebraic and graphic representations of quantifier, and placed properly quantifiers in the context of semiotics.

Key words: Peirce, quantifier, semiotics, index, algebra of logic, existential graphs, line of identity