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Inflationism/Horwich: requires attributing additional properties to truth 'X is true iff. X has the property P.' - This is supposed to allow us to specify what truth is. (E.g. utility). - >Pragmatism.
Deflationism/Quine/Leeds/Horwich: (deflationary) truth allows generalizations of a certain kind for which you'd otherwise need infinite conjunctions. - Quine: truth serves the purpose of generalization - Horwich: E.g. generalization: for each object x if x = what Einstein said, then x is true.
P. Horwich (Ed.)
Theories of Truth Aldershot 1994