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Research in History and Philosophy of Mathematics pp 139–148Cite as

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The Influence of Arthur Cayley and Alfred Kempe on Charles Peirce’s Diagrammatic Logic

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Abstract

This paper is dedicated to the memory of Irving H. Anellis and represents joint work on the historical sources of Charles Sanders Peirce’s (1839–1914) diagrammatic logic. Arthur Cayley (1821–1895) and Alfred Bray Kempe (1849–1922) contributed to the logic of relations and its applications to geometry and foundations of geometry. This paper gives an overview of sources related to analytical trees and diagrams which were inspirational for Peirce’s development of his existential graphs. Much of the material upon which this paper draws consists of unpublished manuscripts from the Peirce Edition Project at the University of Indianapolis where for many years my collaborator Irving Anellis was a member of the research staff.

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Acknowledgement

The author is grateful to two unidentified referees whose comments and suggestions have improved the quality of this paper.

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Authors and Affiliations

  1. Departments of Mathematics and Computer Science, Kean University, Union, NJ, 07083, USA

    Francine F. Abeles

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  1. Francine F. Abeles
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Correspondence to Francine F. Abeles .

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Editors and Affiliations

  1. Mathematical, Information and Computer Sciences, Point Loma Nazarene University, San Diego, California, USA

    Maria Zack

  2. Department of Philosophy, University of California, Davis, DAVIS, California, USA

    Elaine Landry

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Abeles, F.F. (2015). The Influence of Arthur Cayley and Alfred Kempe on Charles Peirce’s Diagrammatic Logic. In: Zack, M., Landry, E. (eds) Research in History and Philosophy of Mathematics. Proceedings of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22258-5_10

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