Abstract
It has been recognized that Peirce’s gamma part of his Existential Graphs (EG) contains that kind of treatment of modal logic that is today called model-theoretic. Peirce is even supposed to have anticipated possible-worlds-semantics (PWS).1 In this paper I want to explore how close he got to our contemporary semantics for modal logics and if the differences one finds can only be seen as evidence of an archaic and outdated understanding of logical matters or if they have a hidden potential that might be fruitfully applied in the discussions of problems within the now dominant interpretation of logic.
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Literature
Dretske, Fred. (1981). Knowledge and the Flow of Information. Cambridge (MA): Bradford/MIT Press.
Hintikka, Jaakko. (1997). “The Place of C. S. Peirce in the History of Logical Theory.” J. Brunning and P. Forster (eds.). The Rule of Reason. The Philosophy of Charles Sanders Pierce. Toronto: University of Toronto Press, 13–33.
Hintikka, Jaakko. (1986). “Reasoning about Knowledge in Philosophy: The Paradigm of Epistemic Logic.” J. Y. Halpern (ed.). Reasoning about Knowledge. Proceedings of the 1986 Conference on the Theoretical Aspects of Reasoning About Knowledge. Monterey (CA), 63–80.
Houser, Nathan, Roberts, Don D. and van Evra, James. (1997). Studies in the Logic of Charles S. Peirce. Bloomington and Indianapolis: Indiana University Press.
Kripke, Saul. (1975). “Outline of a Theory of Truth.” The Journal of Philosophy 72, 690–716.
Morgan, Charles. (1979). Modality, Analogy, and Ideal Experiments According to C. S. Peirce. Synthese 41, 65–83.
Müller, Ralf. (1999). Die dynamische Logik des Erkennens von Charles S. Peirce. Würzburg: Königshausen & Neumann.
Müller, Ralf. (1996). “Peirce and Israel/Perry on the conditions of informational flow.” Semiotics Around the World: Synthesis in Diversity. Vol. 2. Proceedings of the Fifth Congress of the Int. Association for Semiotic Studies. Berkeley, June 12–18, 1994, Berlin: Mouton, 781–4.
Peirce, Charles Sanders. (1933). Collected Papers Vol. IV: The simplest Mathematics. Edited by C. Harts-home and P. Weiss. Cambridge (MA): Harvard University Press.
Rosenthal, Sandra B. (1990). “Peirce’s Ultimate Logical Interpretant and Dynamical Object: A Pragmatic Perspective.” Transactions of the Charles S. Peirce Society 26, 195–210.
Seebohm, Thomas M. (1988). “Phenomenology of Logic and the Problem of Modalizing.” Journal of the British Society for Phenomenology 19, 235–51.
Shin, Sun-Joo (1994). “Peirce and the Logical Status of Diagrams.” History and Philosophy of Logic 15, 45–68.
Zeman, Jay J. (1997). “Peirce and Philo.” In: Houser, Roberts, van Evra (1997), 402–17.
Zeman, Jay J. (1986): “Peirce’s Philosophy of Logic.” Transactions of the Charles S. Peirce Society 20, 1–22.
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Müller, R. (2000). Interpretations of Modality: Epistemic Logic and Peirce’s Logic of Ignorance. In: Wiegand, O.K., Dostal, R.J., Embree, L., Kockelmans, J., Mohanty, J.N. (eds) Phenomenology on Kant, German Idealism, Hermeneutics and Logic. Contributions to Phenomenology, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9446-2_12
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DOI: https://doi.org/10.1007/978-94-015-9446-2_12
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