### Single Idea 10901

#### [catalogued under 5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction]

Full Idea

A set of formulas of a first-order language is 'satisfiable' if there is a structure and a variable interpretation in that structure such that all the formulas of the set are true.

Gist of Idea

Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true

Source

José L. Zalabardo (Introduction to the Theory of Logic [2000], §3.5)

Book Reference

Zalabardo,José L.: 'Introduction to the Theory of Logic' [Westview 2000], p.106