Ligature   

Ligature

Commens
Digital Companion to C. S. Peirce
Ligature
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1903 | A Syllabus of Certain Topics of Logic | Peirce, 1903, p. 18; CP 4.407

A collection composed of any line of identity together with all others that are connected with it directly or through still others is termed a ligature. Thus ligatures often cross cuts, and, in that case, are not graphs.
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1903 | A Syllabus of Certain Topics of Logic | Peirce, 1903, p. 22; CP 4.416

The totality of all the lines of identity that join one another is termed a ligature. A ligature is not generally a graph, since it may be part in one area and part in another. It is said to lie within any cut which it is wholly within.
Citation
‘Ligature’. Term in M. Bergman & S. Paavola (Eds.), The Commens Dictionary: Peirce's Terms in His Own Words. New Edition. Retrieved from http://www.commens.org/dictionary/term/ligature, 13.10.2024.
See also
Line of Identity | Existential Graph