### Single Idea 17747

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

Full Idea

A specification of a domain of objects, and of the rules for interpreting the symbols of a logical language in this domain such that all the theorems of the logical theory are true is said to be a 'model' of the theory.

Gist of Idea

A 'model' of a theory specifies interpreting a language in a domain to make all theorems true

Source

Michal Walicki (Introduction to Mathematical Logic [2012], History E.1.3)

Book Reference

Walicki,Michal: 'Introduction to Mathematical Logic' [World Scientific 2012], p.33

A Reaction

The basic ideas of this emerged 1915-30, but it needed Tarski's account of truth to really get it going.