Abstract
This paper examines Charles Peirce's graphical notation for first-order logic with identity. The notation forms a part of his system of “existential graphs,” which Peirce considered to be his best work in logic. In this paper a Tarskian semantics is provided for the graphical system.
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REFERENCES
Barwise, J. and Etchemendy, J.: Heterogeneous Logic, In: J. Glasgow, N. Narayanan and B. Chandarasekaran (Eds), Diagrammatic Reasoning: Cognitive and Computational Perspective, AAAI Press, Menlo Park and MIT Press, Cambridge, 1995.
Barwise, J. and Etchemendy, J.: Visual Information and Valid Reasoning, In: W. Zimmerman and S. Cunningham (Eds), Visualization in Teaching and Learning Mathematics, Mathematical Association of America, Washington, DC, 1991.
Hammer, E.: Logic and Visual Information, CSLI Publications, Studies in Logic, Language and Information no. 3, 1995.
Peirce, C.: The Collected Papers of C. S. Peirce, volume 4, Harvard University Press, 1933.
Roberts, D.: The Existential Graphs of Charles S. Peirce, Mouton and Co., 1973.
Shin, S.-J.: The Logical Status of Diagrams, Cambridge University Press, 1995.
Sowa, J.: Conceptual Structures: Information Processing in Mind and Machine, Addison-Wesley, 1984.
White, R.: Peirce's Alpha Graphs: The Completeness of Propositional Logic and the Fast Simplification of Truth Functions, Transactions of the Charles S. Peirce Society 20, 1984.
Zeman, J. J.: The Graphical Logic of C. S. Peirce, Diss., University of Chicago, 1964.
Zeman, J. J.: A System of Implicit Quantification, Journal of Symbolic Logic 32, 1967.
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Hammer, E.M. Semantics for existential graphs. Journal of Philosophical Logic 27, 489–503 (1998). https://doi.org/10.1023/A:1017908108789
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DOI: https://doi.org/10.1023/A:1017908108789