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We look at definite marking in Esperanto, Papiamentu, and Yiddish considering three semantically definite contexts: the referential use of proper names and unique nouns, as well as anaphoric definites. We argue for a three-dimensional analysis of definiteness: an individual denotation, an existence presupposition, and a uniqueness conventional implicature. We present an HPSG encoding of this system and model the central aspects of the definite marking systems of our three object languages.