Single Idea 9714

[catalogued under 4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST]

Full Idea

A relation satisfies 'trichotomy' on a set if every ordered pair is related (in either direction), or the objects are identical.

Gist of Idea

A relation satisfies 'trichotomy' if all pairs are either relations, or contain identical objects

Source

Herbert B. Enderton (A Mathematical Introduction to Logic (2nd) [2001], Ch.0)

Book Reference

Enderton,Herbert B.: 'A Mathematical Introduction to Logic' [Academic Press 2001], p.6

---