Single Idea 10887

[catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / l. Axiom of Specification]

Full Idea

Principle of Specification: Whenever we can specify a determinate totality of objects, we shall say that there is a set whose elements are precisely the objects that we have specified.

Gist of Idea

Specification: Determinate totals of objects always make a set


José L. Zalabardo (Introduction to the Theory of Logic [2000], §1.3)

Book Reference

Zalabardo,José L.: 'Introduction to the Theory of Logic' [Westview 2000], p.5

A Reaction

Compare the Axiom of Specification. Zalabardo says we may wish to consider sets of which we cannot specify the members.