@article{oai:auhw.repo.nii.ac.jp:00000739,
 author = {Knowles, Alan},
 issue = {1},
 journal = {青森県立保健大学紀要, Journal of Aomori University of Health and Welfare},
 month = {Mar},
 note = {application/pdf, The notion of entailment is central to any theory of meaning. If we are told that 'The ball is large and red' is a true sentence, we can be certain that 'The ball is red' is also a true sentence. The first sentence entails the second, which is to say that thereare no circumstances in which the first sentence can be true and the second false. In this study I consider particularly the sort of entailment found in (1) but not in (2) below. (1) Two boys slept. (Distributive) (2) Two boys made a good team. (Collective) (1) entails 'One boy slept', but (2) does not entail 'One boy made a good team'. The sentence (3) Two boys ate three cakes. has both distributive and collective readings (the boys ate three cakes each, or the boys ate three cakes between them). I attempt to account for these different entailments in a set-theoretic model. Using a simple phrase-structure syntax for a small fragment of English, I consider a series of models, developing the semantic theory until I arrive at a grammar which suggests that the distributive reading of (3) for example would be semantically and syntactically distinct from the collective reading., 国立情報学研究所の「学術雑誌公開支援事業」により電子化されました},
 pages = {71--83},
 title = {Set-theoretic Models for Distributive Entailments},
 volume = {1},
 year = {2000}
}