转载:断言与否认:逻辑符号的贡献

Q1 Mathematics

Journal of Applied Logic Pub Date : 2017-12-01 DOI:10.1016/j.jal.2017.12.002

Ahti-Veikko Pietarinen , Francesco Bellucci

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引用次数: 14

摘要

本文介绍了弗雷格和皮尔斯关于断言和否认的观点的两个主要方面:首先，他们分别论证了在表象图和存在图中关于断言和否认的表征的符号选择;其次，这些属性反映了它们的发明者对断言和否认的看法。我们证明了弗雷格的符号有一个特别的断言符号和一个特别的否定符号，而皮尔斯的符号有一个断言符号，它也是一个逻辑连接符号，一个范围符号，它也是一个否定符号。

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Reprint of: Assertion and denial: A contribution from logical notations

This paper presents two major aspects of Frege's and Peirce's views on assertion and denial: first, their arguments for the notational choices concerning the representation of assertion and denial in Begriffsschrift (BS) and Existential Graphs (EGs), respectively; and second, those properties of BS and EGs which reflect their inventors' views on assertion and denial. We show that while Frege's notation has an ad hoc sign of assertion and an ad hoc sign of negation, Peirce has a sign of assertion which is also a sign of logical conjunction, and a sign of scope which is also a sign of negation.

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