more from Herbert B. Enderton

Single Idea 13206

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

Full Idea

A 'linear ordering' (or 'total ordering') on A is a binary relation R meeting two conditions: R is transitive (of xRy and yRz, the xRz), and R satisfies trichotomy (either xRy or x=y or yRx).

Gist of Idea

A 'linear or total ordering' must be transitive and satisfy trichotomy


Herbert B. Enderton (Elements of Set Theory [1977], 3:62)

Book Reference

Enderton,Herbert B.: 'Elements of Set Theory' [Posts + Telecoms 2006], p.62