### Single Idea 10129

#### [catalogued under 5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models]

Full Idea

A 'model' of a theory is an assignment of meanings to the symbols of its language which makes all of its axioms come out true.

Gist of Idea

A 'model' is a meaning-assignment which makes all the axioms true

Source

A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7)

Book Reference

George,A/Velleman D.J.: 'Philosophies of Mathematics' [Blackwell 2002], p.193

A Reaction

If the axioms are all true, and the theory is sound, then all of the theorems will also come out true.