more from William D. Hart

Single Idea 13503

[catalogued under 3. Truth / F. Semantic Truth / 2. Semantic Truth]

Full Idea

In any first-order language, there are infinitely many T-sentences. Since definitions should be finite, the agglomeration of all the T-sentences is not a definition of truth.


A T-sentence of the form: 'p' is true iff p

Gist of Idea

A first-order language has an infinity of T-sentences, which cannot add up to a definition of truth


William D. Hart (The Evolution of Logic [2010], 4)

Book Reference

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.101

A Reaction

This may be a warning shot aimed at Davidson's extensive use of Tarski's formal account in his own views on meaning in natural language.