more from Volker Halbach

### Single Idea 16344

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

Full Idea

Soundness seems to be a notion essentially involving truth. At least I do not know how to fully express the soundness of Peano arithmetic without invoking a truth predicate.

Gist of Idea

Soundness must involve truth; the soundness of PA certainly needs it

Source

Volker Halbach (Axiomatic Theories of Truth [2011], 22.1)

Book Reference

Halbach,Volker: 'Axiomatic Theories of Truth' [CUP 2011], p.323

A Reaction

I suppose you could use some alternative locution such as 'assertible' or 'cuddly'. Intuitionists seem a bit vague about the truth end of things.