more from Charles Chihara

Single Idea 9561

[catalogued under 5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic]

Full Idea

Everything one needs to do with relations in mathematics can be done by taking a relation to be a set of ordered pairs. (Ordered triples etc. can be defined as order pairs, so that <x,y,z> is <x,<y,z>>).

Gist of Idea

The mathematics of relations is entirely covered by ordered pairs


Charles Chihara (A Structural Account of Mathematics [2004], 07.2)

Book Reference

Chihara,Charles: 'A Structural Account of Mathematics' [OUP 2004], p.174

A Reaction

How do we distinguish 'I own my cat' from 'I love my cat'? Or 'I quite like my cat' from 'I adore my cat'? Nevertheless, this is an interesting starting point for a discussion of relations.