Full Idea
The main problem of the notion of truth is to give a satisfactory definition which is materially adequate and formally correct.
Gist of Idea
A definition of truth should be materially adequate and formally correct
Source
Alfred Tarski (The Semantic Conception of Truth [1944], 01)
Book Reference
'Semantics and the Philosophy of Language', ed/tr. Linsky,Leonard [University of Illinois 1972], p.13
A Reaction
That is, I take it, that it covers all cases of being true and failing to be true, and it fits in with the logic. The logic is explicitly classical logic, and he is not aiming to give the 'nature' or natural language understanding of the concept.