more from Volker Halbach

Single Idea 16314

[catalogued under 3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth]

Full Idea

I sort theories of truth into the large families of 'typed' and 'type-free'. Roughly, typed theories prohibit a truth predicate's application to sentences with occurrences of that predicate, and one cannot prove the truth of sentences containing 'true'.

Gist of Idea

Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free'


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

Book Reference

Halbach,Volker: 'Axiomatic Theories of Truth' [CUP 2011], p.51

A Reaction

The problem sentence the typed theories are terrified of is the Liar Sentence. Typing produces a hierarchy of languages, referring down to the languages below them.

Related Idea

Idea 6006 If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]