Quantifiers in language and logic by Peters, Stanley, 1941-, Westerståhl, Dag, 1946- instant download

Quantifiers in language and logic by Peters, Stanley, 1941-, Westerståhl, Dag, 1946- instant download

1 online resource (xix, 528), Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English, they include such expressions as no, some, all, both many. This book presents the interdisciplinary exploration of how they work, their syntax, semantics, and inferential role, Includes bibliographical references (pages 511-520) and index, Print version record, A brief history of quantification -- The emergernce of generalized quanitifiers in modern logic -- Type [1] quantifiers of natural and logical languages -- Type [1, 1] quantifiers of natural language -- Monotone quantifiers -- Symmetry and other relational properties of type [1, 1] quantifiers -- Possessive quantifiers -- Exceptive quantifiers -- Which quantifiers are logical? -- Some polyadic quantifiers of natural language -- The concept of expressiveness -- Formalization : expressibility, definability, compositionality -- Definability and undefinability in logical languages : tools for the monadic case -- Applications to monadic definability -- EF-tools for polyadic quantifiers