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Tarski's truth definition

SEMANTICS: definition which formalizes the relation between a sentence and its truth value. The definition formalizes what Wittgenstein (1922) describes as: to understand a proposition means to know what is the case if it is true. It has the following general form:

(i)  For any S in L and any v, S is true in v if and only if p.
S is a structural description of a sentence of a language L, v is a circumstance which has to be met, and p are the conditions that describe how this circumstance should be met. EXAMPLE: the definition for sentence S in (i) has (partly) the form of (ii).
(ii) Snow is white is true iff Snow is white 
Tarski's truth definition is crucial to a denotational meaning theory.
LIT. Gamut, L.T.F. (1991)
Tarski, A. (1944)