Truth hinges on reality; but to object, on this score, to calling sentences true, is a confusion. 'Snow is white' is true if and only if snow is white. Quotation marks make all the difference between talking about words and talking about snow. The quotation is a name of a sentence that contains a name, namely 'snow', of snow. By calling the sentence true, we call snow white, and we need not emphasize the proposition as the truth-bearer(pol11)
Tarski saw the three satisfaction conditions not as explaining negation, conjunction, and quantification, which would be untenable, but as contributing to a definition of satisfaction itself and so, derivatively, of truth. This plan affords a definition of satisfaction, for all sentences of the object language, which is recursive or inductive(pol40)