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This treatment of quantifiers has been essential in achieving a [[compositionality|compositional]] [[semantics]] for sentences containing quantifiers.<ref>{{cite book |last1=Montague |first1=Richard |author-link1=Richard Montague |date=1974 |url=http://www.blackwellpublishing.com/content/BPL_Images/Content_store/Sample_chapter/9780631215417/Portner.pdf |chapter=The proper treatment of quantification in English |title=Philosophy, Language, and Artificial Intelligence |series=Studies in Cognitive Systems |volume=2
|editor1-last=Kulas |editor1-first=J. |editor2-last=Fetzer |editor2-first=J.H. |editor3-last=Rankin |editor3-first=T.L. |pages=141–162 |publisher=Springer, Dordrecht |doi=10.1007/978-94-009-2727-8_7|isbn=978-94-010-7726-2 }}</ref><ref name=Barwise>{{cite journal |last1=Barwise |first1=Jon |author-link1=Jon Barwise |last2=Cooper |first2=Robin |date=1981 |title=Generalized quantifiers and natural language |url=https://link.springer.com/article/10.1007%2FBF00350139 |journal=Linguistics and Philosophy |volume=4 |issue=2 |pages=159–219 |doi=10.1007/BF00350139}}</ref>
==Type theory==
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