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A Bunch of Diagrammatic Methods for Syllogistic

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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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