Peirce’s 1870 “Logic of Relatives” • Comment 11.6

Peirce’s 1870 “Logic of Relatives”Comment 11.6

Let’s continue working our way through the above definitions, constructing appropriate examples as we go.

Relation E_1 \subseteq X \times Y exemplifies the quality of totality at X.

Dyadic Relation E₁
\text{Dyadic Relation}~ E_1

Relation E_2 \subseteq X \times Y exemplifies the quality of totality at Y.

Dyadic Relation E₂
\text{Dyadic Relation}~ E_2

Relation E_3 \subseteq X \times Y exemplifies the quality of tubularity at X.

Dyadic Relation E₃
\text{Dyadic Relation}~ E_3

Relation E_4 \subseteq X \times Y exemplifies the quality of tubularity at Y.

Dyadic Relation E₄
\text{Dyadic Relation}~ E_4

So E_3 is a pre-function e_3 : X \rightharpoonup Y and E_4 is a pre-function e_4 : X \leftharpoonup Y.

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.

5 Responses to Peirce’s 1870 “Logic of Relatives” • Comment 11.6

  1. Pingback: Survey of Relation Theory • 3 | Inquiry Into Inquiry

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  3. Pingback: Peirce’s 1870 “Logic Of Relatives” • Comment 1 | Inquiry Into Inquiry

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