more from Engelbretsen,G/Sayward,C

### Single Idea 13852

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

Full Idea

A set of axioms is said to be ω-incomplete if, for some universal quantification, each of its instances is derivable from those axioms but the quantification is not thus derivable.

Gist of Idea

Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't

Source

Engelbretsen,G/Sayward,C (Philosophical Logic: Intro to Advanced Topics [2011], 7)

Book Reference

Engelbretsen,G/Sayward,C: 'Philosophical Logic: Intro to Advanced Topics' [Continuum 2011], p.132