Area of Cut   

Area of Cut

Commens
Digital Companion to C. S. Peirce
Area of Cut
1903 | A Syllabus of Certain Topics of Logic | Peirce, 1903, pp. 20-21; CP 4.414

A cut is not a graph-replica. A cut drawn upon the sheet of assertion severs the surface it encloses, called the area of the cut, from the sheet of assertion; so that the area of a cut is no part of the sheet of assertion.

1903 | A Syllabus of Certain Topics of Logic | Peirce, 1903, p. 16; CP 4.399

By a Cut shall be understood to mean a self-returning linear separation (naturally represented by a fine-drawn or peculiarly colored line) which severs all that it encloses from the sheet of assertion on which it stands itself, or from any other area on which it stands itself. The whole space within the cut (but not comprising the cut itself) shall be termed the area of the cut.