Assertion, Conjunction, and Other Signs of Logic: A Contribution to the Philosophy of Notation

IF 0.2 4区哲学 0 PHILOSOPHY

TRANSACTIONS OF THE CHARLES S PEIRCE SOCIETY Pub Date : 2021-10-12 DOI:10.2979/trancharpeirsoc.57.2.07

F. Bellucci, A. Pietarinen, Chiffi Daniele

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引用次数: 2

Abstract

Abstract:This paper is about Peirce's understanding and notational realization of the relationship between the logical content of conjunction and the illocutionary force of assertion. The argument moves from an imaginary, subtextual dialogue between several authors in the history of logic and the philosophy of language (Aristotle, Ammonius, Boethius, Frege, Peirce, Geach, and Dummett) and shows that the problem of the relationship between conjunction and assertion is quite old and has received distinct and irreconcilable treatments. Peirce has an original take on the problem, which he addresses, as often happens in his mature writings, in notational terms: the anomaly of conjunction (i.e., the fact that, unlike the other connectives, conjunction is subject to assertion distribution) is not to be hidden behind a uniform notation, like standard sentential calculus, in which the conjunction connective is treated on a par with the other connectives. Rather, a sentential language is possible that embodies rather than conceals the anomaly, and this is Peirce's system of Existential Graphs, which from 1896 onwards understandably becomes his preferred instrument of logical analysis.

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断言、连接和其他逻辑符号:对符号哲学的贡献

摘要:本文探讨了皮尔斯对连词的逻辑意旨与断言的言外力量之间关系的理解和符号实现。论证从逻辑和语言哲学历史上几位作者(亚里士多德、阿蒙纽斯、波伊提乌斯、弗雷格、皮尔斯、吉奇和达米特)之间的想象的、潜语的对话开始，并表明连接和断言之间的关系问题是相当古老的，并且已经收到了不同的和不可调和的处理。皮尔斯对这个问题有一个原创的看法，正如他在成熟的著作中经常发生的那样，他用符号的方式来解决这个问题:连接词的异常(即，与其他连接词不同，连接词受断言分布的影响)不能隐藏在统一的符号后面，就像标准的句子演算一样，在标准的句子演算中，连接词与其他连接词被同等对待。相反，一种句子语言是可能体现而不是隐藏异常的，这就是皮尔斯的存在图系统，从1896年开始，它成为他首选的逻辑分析工具，这是可以理解的。

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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来源期刊

TRANSACTIONS OF THE CHARLES S PEIRCE SOCIETY PHILOSOPHY-

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Transactions of the Charles S. Peirce Society has been the premier peer-reviewed journal specializing in the history of American philosophy since its founding in 1965. Although named for the founder of American pragmatism, American philosophers of all schools and periods, from the colonial to the recent past, are extensively discussed. TCSPS regularly includes essays, and every significant book published in the field is discussed in a review essay. A subscription to the journal includes membership in the Charles S. Peirce Society, which was founded in 1946 by Frederic H. Young. The purpose of the Society is to encourage study of and communication about the work of Peirce and its ongoing influence in the many fields of intellectual endeavor to which he contributed.