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Definiteness/determined/definition/definite/vagueness/precision/(s)"definite"/Field: we cannot define "definitively true" ("determined", "determinately") by truth - we must conceive it as a reinforcement - solution : Operator: "Definiteness-Operator" - this one is independent of truth-theoretical terms - but there is no physical information which decides - - "determined" as basic concept - rules correspond to those for "necessary" - then the law of the excluded middle applies - it is definitely the case that he is either bald/non-bald - N.B.: it can still be the case then that he is neither definitely bald nor definitely non-bald - because there is no distribution about disjunction.
Definiteness-Operator: is used so that the deflationism can distinguish vagueness from non-vagueness - "strong-true" must be defined with definiteness-Operator.
Vagueness of higher level/Field/VsFine: the definiteness-operator is more natural than the Penumbar - FieldVsPenumbra: unnatural.
Limit/Vagueness/definiteness-Operator/Field: We need the definiteness-operator ("determined") to characterize a certain limit from a limit.
Vagueness/deflationism/Field: "definitive-operator": adds additional conditions to the game under which a statement is definitely true - (s) not merely literal repetition) - referential indeterminacy/(s): then a general sentence only applies to a part - this one is sorted out by the definiteness-operator.
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