Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.3

Dyadic relations have graph-theoretic representations as labeled directed graphs with loops, also known as labeled pseudo-digraphs in some schools of graph theory.  I’ll just call them digraphs here, letting the labels and loops be understood in this logical context.

The figure below shows the digraphs of the 16 dyadic relations on two points, adopting the same arrangement as the previous display of binary matrices.

Dyadic Relations 2 Points

References

  • Peirce, C.S. (1880), “On the Algebra of Logic”, American Journal of Mathematics 3, 15–57.  Collected Papers (CP 3.154–251), Chronological Edition (CE 4, 163–209).
  • Peirce, C.S., Collected Papers of Charles Sanders Peirce, vols. 1–6, Charles Hartshorne and Paul Weiss (eds.), vols. 7–8, Arthur W. Burks (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958.  Volume 3 : Exact Logic, 1933.
  • Peirce, C.S., Writings of Charles S. Peirce : A Chronological Edition, Peirce Edition Project (eds.), Indiana University Press, Bloomington and Indianapolis, IN, 1981–.  Volume 4 (1879–1884), 1986.

Resources

This entry was posted in Dyadic Relations, Graph Theory, Logic, Logic of Relatives, Mathematics, Matrix Theory, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations and tagged , , , , , , , , , , . Bookmark the permalink.

4 Responses to Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.3

  1. Pingback: Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.4 | Inquiry Into Inquiry

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