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"True"/Truth-Predicate/Purpose/Generalization/Generality/Quine/Field: (Quine 1970): above all, the truth-predicate has the role of generalization. - That is his whole value. - Leeds dito. - Field: E.g. "All true sentences of this theory are theorems". - Camp/Grover/Belnap/CGB: (1975, dito). E.g.: "There are true sentences that no one will ever have a reason to believe".
Truth-Predicate/Generalization/Truth/Field: E.g. the desire to express only true sentences: "I utter "p" only if p".
E.g. "Not every (of infinitely many) axioms is true". - Or, for example, they are contingent: "Not every had to be true". - N.B.: this is only possible with purely disquotational truth.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980