more from Peter Smith

Single Idea 10595

[catalogued under 5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic]

Full Idea

'Theorem': given a derivation of the sentence φ from the axioms of the theory T using the background logical proof system, we will say that φ is a 'theorem' of the theory. Standard abbreviation is T |- φ.

Gist of Idea

A 'theorem' of a theory is a sentence derived from the axioms using the proof system


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

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.23