Skip to main content

Interpretations of Modality: Epistemic Logic and Peirce’s Logic of Ignorance

  • Chapter
Phenomenology on Kant, German Idealism, Hermeneutics and Logic

Part of the book series: Contributions to Phenomenology ((CTPH,volume 39))

  • 187 Accesses

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contemporary semantics for modal logics and if the differences one finds can only be seen as evidence of an archaic and outdated understanding of logical matters or if they have a hidden potential that might be fruitfully applied in the discussions of problems within the now dominant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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  • Dretske, Fred. (1981). Knowledge and the Flow of Information. Cambridge (MA): Bradford/MIT Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Houser, Nathan, Roberts, Don D. and van Evra, James. (1997). Studies in the Logic of Charles S. Peirce. Bloomington and Indianapolis: Indiana University Press.

    Google Scholar 

  • Kripke, Saul. (1975). “Outline of a Theory of Truth.” The Journal of Philosophy 72, 690–716.

    Article  Google Scholar 

  • Morgan, Charles. (1979). Modality, Analogy, and Ideal Experiments According to C. S. Peirce. Synthese 41, 65–83.

    Article  Google Scholar 

  • Müller, Ralf. (1999). Die dynamische Logik des Erkennens von Charles S. Peirce. Würzburg: Königshausen & Neumann.

    Google Scholar 

  • 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.

    Google Scholar 

  • Peirce, Charles Sanders. (1933). Collected Papers Vol. IV: The simplest Mathematics. Edited by C. Harts-home and P. Weiss. Cambridge (MA): Harvard University Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • Seebohm, Thomas M. (1988). “Phenomenology of Logic and the Problem of Modalizing.” Journal of the British Society for Phenomenology 19, 235–51.

    Google Scholar 

  • Shin, Sun-Joo (1994). “Peirce and the Logical Status of Diagrams.” History and Philosophy of Logic 15, 45–68.

    Article  Google Scholar 

  • Zeman, Jay J. (1997). “Peirce and Philo.” In: Houser, Roberts, van Evra (1997), 402–17.

    Google Scholar 

  • Zeman, Jay J. (1986): “Peirce’s Philosophy of Logic.” Transactions of the Charles S. Peirce Society 20, 1–22.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

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

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9446-2_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5448-7

  • Online ISBN: 978-94-015-9446-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics