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This volume of papers grew out of a research project on "Cross-Linguistic Quantification" originated by Emmon Bach, Angelika Kratzer and Barbara Partee in 1987 at the University of Massachusetts at Amherst, and supported by National Science Foundation Grant BNS 871999. The publication also reflects directly or indirectly several other related activ- ities. Bach, Kratzer, and Partee organized a two-evening symposium on cross-linguistic quantification at the 1988 Annual Meeting of the Linguistic Society of America in New Orleans (held without financial support) in order to bring the project to...

1. 1 OBJECTIVES The main objective of this joint work is to bring together some ideas that have played central roles in two disparate theoretical traditions in order to con tribute to a better understanding of the relationship between focus and the syn tactic and semantic structure of sentences. Within the Prague School tradition and the branch of its contemporary development represented by Hajicova and Sgall (HS in the sequel), topic-focus articulation has long been a central object of study, and it has long been a tenet of Prague school linguistics that topic-focus structure has systematic...

Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction...