more from Robert S. Wolf

Single Idea 13521

[catalogued under 4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀]

Full Idea

Universal Specification: from ∀xP(x) we may conclude P(t), where t is an appropriate term. If something is true for all members of a domain, then it is true for some particular one that we specify.

Gist of Idea

Universal Specification: ∀xP(x) implies P(t). True for all? Then true for an instance


Robert S. Wolf (A Tour through Mathematical Logic [2005], 1.3)

Book Reference

Wolf,Robert S.: 'A Tour Through Mathematical Logic' [Carus Maths Monographs 2005], p.20