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I have changed "use-language" to "metalanguage" which is the standard terminology.--NoizHed 20:57, 26 December 2005 (UTC)
Sentences, not propositions
editTarski says that truth pertains to sentences, not propositions. That would be Horwich. He says in his paper The semantic conception of truth, "...it appears most convenient to apply the term “true” to sentences, and we shall follow this course." and "if the definition of truth is to conform to our conception, it must imply the following equivalence: The sentence “snow is white” is true iff snow is white…. On the right side we have the sentence itself, and on the left we have the name of the sentence…. If we wish to say something about a sentence, for example that it is true, we must use the name of the sentence, and not the sentence itself." So I changed the article from saying proposition to saying truth.
Some changes
editI removed the introduction because it made no sense at all, and I also removed the attempts to smuggle in an correspondence-theory-understanding of the form (T). Form (T) is about sentences and names of sentences, not about sentences and facts. Please read Tarski if you disagree. The fact that he introduced the form (T) through discussions around correspondencetheories of truth does not mean that the right-side of the biconditional is a fact or whatever. Please look up "The semantic conception of truth" (1944) pp. 361-362. I also removed all talk about assertions and propositions. Tarski did not care about those. He focused on sentences only. I also corrected the comparison with Gödels theorems and the description of Tarskis Theorem. I will add some verifiable sources another day.