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On the Transformation Rules of Erasure and Insertion in the Beta Part of Peirce’s Existential Graphs

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Diagrammatic Representation and Inference (Diagrams 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10871))

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Abstract

The aim of this paper is to show the symmetric organization of the transformation rules for erasing or inserting graphs in Existential Graphs, which Peirce constructed as the diagrammatical system of logic that uses graphical apparatus instead of formulae of standard formal logic. Many researchers have overlooked the symmetry of Peirce’s initial layout of the transformation rules of erasure and insertion. In this essay, I will symmetrically rearrange the rules of erasure and insertion on the basis of the accurate understandings of Peirce’s statements.

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References

  1. Peirce, C.S.: Collected Papers of Charles Sanders Peirce. The Belknap Press of Harvard University Press, Cambridge (1974)

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  2. Roberts, D.D.: The Existential Graphs of Charles S. Peirce. Mouton, The Hague (1973)

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  3. Shin, S.-J.: The Iconic Logic of Peirce’s Graphs. A Bradford Book, Cambridge (2003)

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Correspondence to Shigeyuki Atarashi .

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Atarashi, S. (2018). On the Transformation Rules of Erasure and Insertion in the Beta Part of Peirce’s Existential Graphs. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds) Diagrammatic Representation and Inference. Diagrams 2018. Lecture Notes in Computer Science(), vol 10871. Springer, Cham. https://doi.org/10.1007/978-3-319-91376-6_52

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  • DOI: https://doi.org/10.1007/978-3-319-91376-6_52

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91375-9

  • Online ISBN: 978-3-319-91376-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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