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In Quirk et al.'s (1985) influential grammar of English, a predeterminer is an element preceding the determiner in the English noun phrase.
all, both (e.g. all the children, both these houses)
Quirk, Randolph & Greenbaum, Sidney & Leech, Geoffrey & Svartvik, Jan. 1985. A comprehensive grammar of the English language. London: Longman.