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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._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
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