Peirce’s 1870 “Logic of Relatives” • Selection 13

I continue with my Selections and Comments examining Peirce’s 1870 Logic of Relatives, one of those works which convinced me from my earliest grapplings I would need to learn a lot more mathematics before I’d have any hope of understanding what Peirce was up to.  What I’ve put on the Web so far is linked in this Overview.

We continue with §3. Application of the Algebraic Signs to Logic.

Peirce’s 1870 “Logic of Relatives”Selection 13

The Sign of Involution (cont.)

A servant of every man and woman will be denoted by \mathit{s}^{\mathrm{m} \;+\!\!,~ \mathrm{w}} and \mathit{s}^\mathrm{m}\!,\!\mathit{s}^\mathrm{w} will denote a servant of every man that is a servant of every woman.  So that

s(m+,w) = (s^m),(s^w)

(Peirce, CP 3.77)


  • Peirce, C.S. (1870), “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole’s Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 26 January 1870.  Reprinted, Collected Papers 3.45–149, Chronological Edition 2, 359–429.  Online (1) (2) (3).
  • 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.
  • Peirce, C.S., Writings of Charles S. Peirce : A Chronological Edition, Peirce Edition Project (eds.), Indiana University Press, Bloomington and Indianapolis, IN, 1981–.


cc: CyberneticsOntolog ForumStructural ModelingSystems Science
cc: FB | Peirce MattersLaws of Form • Peirce List (1) (2) (3) (4) (5) (6) (7)

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1 Response to Peirce’s 1870 “Logic of Relatives” • Selection 13

  1. Pingback: Peirce’s 1870 “Logic of Relatives” • Overview | Inquiry Into Inquiry

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