more from Peter Smith

### Single Idea 10596

#### [catalogued under 5. Theory of Logic / K. Features of Logics / 3. Soundness]

Full Idea

A theory is 'sound' iff every theorem of it is true (i.e. true on the interpretation built into its language). Soundness is normally a matter of having true axioms and a truth-preserving proof system.

Gist of Idea

A theory is 'sound' iff every theorem is true (usually from true axioms and truth-preservation)

Source

Peter Smith (Intro to Gödel's Theorems [2007], 03.4)

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.24