Mention-some readings of questions: Complexities from number marking1

(4) (The committee should have multiple members but only one chair.) a. John knows which professors can form the committee. (okMS, okMA) √ For some group of professors X s.t. X together can form the committee, J knows that X together can form the committee. √ For every group of professors X, if X together can form the committee, J knows that X together can form the committee. b. John knows which professors can chair the committee. (#MS, okMA) × For some professor x s.t. x can chair the committee, J knows that x can chair the committee. √ For every professor x, if x can chair the committee, J knows that x can chair the committee. 1I am very grateful to Gennaro Chierchia, Danny Fox, and the reviewers of Amsterdam Colloquium for helpful comments. I am also thankful to Patrick Elliott, Jon Gajewski, Martin Hackl, Andreas Haida, Irene Heim, Jim Huang, Manfred Krifka, Clemens Mayr, Andreea Nicolae, Floris Roelofsen, Uli Sauerland, Roger Schwarzschild, Anna Szabolcsi, Satoshi Tomiyoka, Wataru Uegaki, and the audiences at MIT, ZAS, UCL, QiD 2015, and NELS 46 for their comments on earlier versions of this paper.