Outer Negation of Universal Quantifier Phrases

This is a new article on negated quantifier phrases.

https://ling.auf.net/lingbuzz/003642?_s=A6s8qGap_LzKi5b6&_k=XGvqD5SPLeL5LWbF

This paper discusses two ways of negating DP quantifier phrases. In one way, NEG modifies the quantifier D directly with the structure [[NEG D] NP] (inner negation). In the other way, NEG modifies the whole DP with the structure [NEG DP] (outer negation). I give evidence based on negative polarity items that negated universal quantifier phrases like not every student involve outer negation.