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)

References

  • 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–.

Resources

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

This entry was posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization and tagged , , , , , , . Bookmark the permalink.

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

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

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.