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简论二维记法的概念文字 被引量:1

Brief Discussion On Concept Notation of Two-Dimension Notation
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摘要 图形及其逻辑的研究正在吸引越来越多的注意,而现代逻辑自诞生起就以一种二维记法——弗雷格的概念文字出现。同时代的皮尔士也以二维方式建立了一套逻辑图形系统——存在图。为了探讨弗雷格的概念文字和皮尔士的存在图之间的联系,在阐述弗雷格的概念文字的相关内容的基础上,根据已有的研究进展,利用《形式的规律》以及皮尔士存在图的一些思想把弗雷格逻辑图形看成是一种信息处理网络,由此我们可以看到弗雷格蕴涵图与皮尔士推演指号及其内部结构之间的类似之处。 The study of graphics and its logic is attracting more and more attention, and the modern logic is born with a two-dimensional concept notation of Frege. In the same time, Peirce has set up a set of logical diagrams system-existence figure in the same way. In order to explore the relationship between the concept notation of Frege and Peirce' s existential graphs, the paper described the con- cept of Frege' s concept notation of the text, and based on the existing research progress, we treated the use of Laws of Form and the existential diagramsof some ideas of Frege' s logical diagrams as a kind of information processing network, which we can see the similarities between implication dia- grams of Frege and the deduction signals of Peirce.
作者 夏素敏
出处 《重庆理工大学学报(社会科学)》 CAS 2015年第12期21-24,共4页 Journal of Chongqing University of Technology(Social Science)
基金 中国社会科学院哲学研究所2015创新工程项目"逻辑学当代发展的创新研究"
关键词 弗雷格逻辑图 《形式的规律》 皮尔士存在图 Frege' s logical diagram Laws of Form Peirce' s existential graph
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参考文献7

  • 1RUSSELL B. Principle of Mathematics[ M]. Cambridge : Cambridge University Press, 1903.
  • 2FREGE G. Conceptual Notation and Related Articles [ M ]. Oxford : Clarendon Press, 1972.
  • 3SPENCER-BROWN G. Laws of Form[ M]. [ S. 1. ] :Allen & Unwin. 1969.
  • 4弗雷格.弗雷格哲学论著选辑[M].王路,译.北京:商务印书馆,2006:138.
  • 5FREGE G. Posthumous Writings [ M ]. Chicago : Universi- ty of Chicago Press, 1979.
  • 6HOERING W. Frege und die Schahalgebra [ J ]. Archive for Mathematical Logic, 1957,3 (3/4) : 125 - 126.
  • 7PEIRCE C S. Collected Papers vol. 4 [ M ]. Cambridge : Harvard University Press, 1933.

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