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The Universal Categories

  • Michael K. Bergman
Chapter

Abstract

The ideas behind Peircean pragmatism are how to think about signs and representations (semiosis); logically reason and handle new knowledge (abduction) and probabilities (induction); make economic research choices (pragmatic maxim); categorize; and let the scientific method inform our inquiry. The connections of Peirce’s sign theory, his three-fold logic of deduction-induction-abduction, the importance of the scientific method, and his understanding about a community of inquiry have all fed my intuition that Peirce was on to some fundamental insights suitable to knowledge representation. The very generalizations Peirce made around the somewhat amorphous designations of Firstness, Secondness, and Thirdness seemed to affirm that what he was genuinely getting at was a way of thinking, a method of ‘decomposing’ the world, that had universal applicability irrespective of domain or problem. We can summarize Firstness as unexpressed possibilities; Secondness as the particular instances that may populate our information space; and Thirdness as general types based on logical, shared attributes. This knowledge representation is like Peirce’s categorization of science or signs but is broader still in needing to capture the nature of relations and attributes and how they become building blocks to predicates and assertions. Scholars of Peirce acknowledge how infused his writings on logic, semiosis, philosophy, and knowledge are with the idea of ‘threes.’ Understanding, inquiry, and knowledge require this irreducible structure; connections, meaning, and communication depend on all three components, standing in relation to one another and subject to interpretation by multiple agents in multiple ways.

Keywords

Firstness Secondness Thirdness Sign theory 

References

  1. 1.
    N. Guarino, Some organizing principles for a unified top-level ontology, in AAAI Spring Symposium on Ontological Engineering (1997), pp. 57–63Google Scholar
  2. 2.
    J.F. Sowa, Signs, processes, and language games: Foundations for ontology, in Proceedings of the 9th International Conference on Conceptual Structures, ICCS’01 (2001)Google Scholar
  3. 3.
    L. Jansen, Categories: The top-level ontology, in Applied Ontology: An Introduction, ed. by K. Munn, B. Smith. (Ontos Verlag, Frankfurt, 2008), pp. 173–196Google Scholar
  4. 4.
    N. Houser, Introduction, The Essential Peirce: Selected Philosophical Writings, Vol 2 (1893–1913), Peirce Edition Project, ed. (Indiana University Press, Bloomington, 1998), pp. xvii–xxxviiiGoogle Scholar
  5. 5.
    A. Atkin, Peirce, Charles Sanders: Architectonic Philosophy, Internet Encyclopedia of Philosophy.Google Scholar
  6. 6.
    M.K. Bergman, How I interpret C.S. Peirce, in AI3:::Adaptive Information (Sep. 2017)Google Scholar
  7. 7.
    C.S. Peirce, Minute Logic: Chapter I. Intended Characters of this Treatise, Digital Companion to C.S. Peirce (1902)Google Scholar
  8. 8.
    R. Burch, A Peircean Reduction Thesis: The Foundations of Topological Logic (Texas Tech University Press, Lubbock, TX, 1991)Google Scholar
  9. 9.
    J. Locke, in An Essay Concerning Human Understanding, ed. by J. Yolton. (Dutton, New York, 1690)CrossRefGoogle Scholar
  10. 10.
    E. Kleinert, On the reducibility of relations: Variations on a theme of Peirce. Trans. Charles S. Peirce Soc. Quart. J. Am. Philos. 43, 509–520 (2007)Google Scholar
  11. 11.
    D. Savan, An Introduction to C.S. Peirce’s Full System of Semeiotic, Monograph Series of the Toronto Semiotic Circle (1987)Google Scholar
  12. 12.
    H.G. Herzberger, Peirce’s remarkable theorem, in Pragmatism and Purpose: Essays Presented to Thomas A. Goudge, ed. by I. W. Sumner, J. G. Slater, F. Wilson (University of Toronto Press, Toronto, Canada, 1981), pp. 41–58Google Scholar
  13. 13.
    J.H. Correia, R. Pöschel, The teridentity and Peircean algebraic logic, in Conceptual Structures: Inspiration and Application, ed. by H. Schärfe, P. Hitzler, P. Øhrstrøm (Springer, Aalborg, Denmark, 2006), pp. 229–246CrossRefGoogle Scholar
  14. 14.
    J. Hereth, R. Pöschel, Peircean algebraic logic and Peirce’s reduction thesis. Semiotica 186, 141–167 (2011)Google Scholar
  15. 15.
    P. Borges, A Visual Model of Peirce’s 66 Classes of Signs Unravels His Late Proposal of Enlarging Semiotic Theory (2010), pp. 221–237CrossRefGoogle Scholar
  16. 16.
    R.W. Burch, Peirce’s 10, 28, and 66 sign-types: The simplest mathematics. Semiotica 184, 93–98 (2011)Google Scholar
  17. 17.
    P. Farias, J. Queiroz, On diagrams for Peirce’s 10, 28, and 66 classes of signs. Semiotica 147, 165–184 (2003)Google Scholar
  18. 18.
    T. Jappy, Peirce’s Twenty-Eight Classes of Signs and the Philosophy of Representation: Rhetoric, Interpretation and Hexadic Semiosis (Academic, Bloomsbury, 2017)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Michael K. Bergman
    • 1
  1. 1.Cognonto CorporationCoralvilleUSA

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