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A Bunch of Diagrammatic Methods for Syllogistic

Logica Universalis volume 13, pages 21–36 (2019)Cite this article

Abstract

This paper presents, assesses, and compares six diagrammatic methods for Categorical Syllogistic. Venn’s Method is widely used in logic textbooks; Carroll’s Method is a topologically indistinguishable version of Venn’s Method; and the four remaining methods are my own: the Dual of Carroll’s Method, Gardner’s Method, Gardner–Peirce’s Method, and Ladd’s Method. These methods are divided into two groups of three and the reasons for switching from a method to another within each group are discussed. Finally, a comparison between the Dual of Carroll’s Method and Ladd’s Method supports the main result of the paper, which is an approximation of the two groups of methods.

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  1. Universidade Federal de Santa Maria, Avenida Roraima, 1000, Santa Maria, RS, 97105-900, Brazil

    Frank Thomas Sautter

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  1. Frank Thomas Sautter
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Correspondence to Frank Thomas Sautter.

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I would like to thank the CNPq [Brazilian National Council for Scientific and Technological Development] for a research Grant.

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Sautter, F.T. A Bunch of Diagrammatic Methods for Syllogistic. Log. Univers. 13, 21–36 (2019). https://doi.org/10.1007/s11787-019-00220-6

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Keywords

  • Diagrammatic methods
  • Quantity
  • Representation of propositions
  • Representation of terms
  • Single rule

Mathematics Subject Classification

  • Primary 03B80