  In recent years, the most widely discussed version of Skolem's Paradox has come come in (one version of) Hilary Putnam's so-called “model-theoretic argument against realism.” Putnam's general goal in the model-theoretic argument is to show that our language is semantically indeterminate—that there's no fact of the matter as to what the terms and predicates of our language refer to. In the case of set theory, therefore, he wants to show that there's no single set-theoretic universe over which our quantifiers range and no single relation to which the word “membership” refers. In Putnam's own terms, there is no single “intended model” for the language of set theory.