On the gradient acceptability of quantifiers scoping over questions. Qing, C. & Roelofsen, F. In Proceedings of Sinn und Bedeutung, volume 26, pages 697–715, 2022.
On the gradient acceptability of quantifiers scoping over questions [link]Paper  abstract   bibtex   
Questions with quantifiers such as Which book did every student read? can allow for pair-list answers. However, whether or to what extent such pair-list answers are acceptable varies for different types of quantifiers. Recently, van Gessel and Cremers (2021) experimentally tested the acceptability of pair-list answers for questions with different types of quantifiers, and discovered a full gradient in their acceptability judgments. In this paper, we start with the intuitive idea that pair-list answers are expected if we let quantifiers take scope above questions, and show that we can extend inquisitive semantics in a principled way using independently motivated ingredients to derive such wide-scope readings that expect pair-list answers for various quantifiers. We also identify factors that contribute to their gradient acceptability.
@inproceedings{qing2022gradient,
  title={On the gradient acceptability of quantifiers scoping over questions},
  author={Qing, Ciyang and Roelofsen, Floris},
  booktitle={Proceedings of Sinn und Bedeutung},
  volume={26},
  pages={697--715},
  year={2022},
  url             = {https://ojs.ub.uni-konstanz.de/sub/index.php/sub/article/view/1025},
  abstract={Questions with quantifiers such as Which book did every student read? can allow for pair-list answers. 
  However, whether or to what extent such pair-list answers are acceptable varies for different types of quantifiers. 
  Recently, van Gessel and Cremers (2021) experimentally tested the acceptability of pair-list answers for questions 
  with different types of quantifiers, and discovered a full gradient in their acceptability judgments. 
  In this paper, we start with the intuitive idea that pair-list answers are expected if we let quantifiers take scope above questions,
   and show that we can extend inquisitive semantics in a principled way using independently motivated ingredients to derive such wide-scope
  readings that expect pair-list answers for various quantifiers. 
  We also identify factors that contribute to their gradient acceptability.}
}

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