more from Bertrand Russell

Single Idea 14430

[catalogued under 8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation]

Full Idea

It is obvious that a relation which is symmetrical and transitive must be reflexive throughout its domain.

Gist of Idea

If a relation is symmetrical and transitive, it has to be reflexive

Source

Bertrand Russell (Introduction to Mathematical Philosophy [1919], II)

Book Reference

Russell,Bertrand: 'Introduction to Mathematical Philosophy' [George Allen and Unwin 1975], p.16


A Reaction

Compare Idea 13543! The relation will return to its originator via its neighbours, rather than being directly reflexive?

Related Idea

Idea 13543 A relation is not reflexive, just because it is transitive and symmetrical [Bostock]