Book ChapterDOI
Quantifiers in Formal and Natural Languages
Dag Westerstaåhl
- pp 223-338
TLDR
For a long time, the word ‘quantifier’ in linguistics and philosophy simply stood for the universal and existential quantifiers of standard predicate logic, but the dominance of predicate logic has obscured the fact that the quantifier expressions form a syntactic category, with characteristic interpretations, and with many more members than ∀ and ∃.Abstract:
For a long time, the word ‘quantifier’ in linguistics and philosophy simply stood for the universal and existential quantifiers of standard predicate logic. In fact, this use is still prevalent in elementary textbooks. It seems fair to say that the dominance of predicate logic in these fields has obscured the fact that the quantifier expressions form a syntactic category, with characteristic interpretations, and with many more members than ∀ and ∃.read more
Citations
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Journal ArticleDOI
Situations and Attitudes.
TL;DR: Barwise and Perry as discussed by the authors tackle the slippery subject of ''meaning, '' a subject that has long vexed linguists, language philosophers, and logicians, and they tackle it in this book.
Journal ArticleDOI
On Quantifier Domain Restriction
TL;DR: This paper provides a comprehensive survey of the space of possible analyses of the phenomenon of quantifier domain restriction, together with a set of considerations which militate against all but the own proposal.
Journal ArticleDOI
Broaden Your Views: Implicatures of Domain Widening and the “Logicality” of Language
TL;DR: In this article, a unified theory of polarity-sensitive items (PSIs) based on the notion of domain widening is presented, where scalar items optionally activate scalar alternatives that, when activated, are then recursively factored into meaning via an alternative sensitive operator similar to only.
Book ChapterDOI
Discourse representation theory
TL;DR: Discourse Representation Theory, or DRT, is one of a number of theories of dynamic semantics, which have come upon the scene in the course of the past twenty years to account for the context dependence of meaning.
References
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Book
Situations and Attitudes
Jon Barwise,John Perry +1 more
TL;DR: Barwise and Perry as discussed by the authors tackle the slippery subject of "meaning, " a subject that has long vexed linguists, language philosophers, and logicians, and they tackle it in this book.
Journal ArticleDOI
Situations and Attitudes.
TL;DR: Barwise and Perry as discussed by the authors tackle the slippery subject of ''meaning, '' a subject that has long vexed linguists, language philosophers, and logicians, and they tackle it in this book.
Book ChapterDOI
Generalized quantifiers and natural language
TL;DR: Most of this work has been directed toward cardinality quantifiers and topological quantifiers which are not particularly relevant to natural language, but even so, it has forced logicians to rethink the traditional theory of quantification as discussed by the authors.
Book ChapterDOI
A Theory of Truth and Semantic Representation
TL;DR: In this article, the authors present a semantic theory of pronominal anaphora, which combines a definition of truth with a systematic account of semantic representations, and is informed by the conviction that the mechanisms which govern deictic and anaphoric occurrences of pronouns are basically the same.
Book
The Principles of Mathematics
TL;DR: The first comprehensive treatise on the logical foundations of mathematics written in English was the Principia Mathematica as mentioned in this paper, which was published in 1903 and was the basis for the work of Frege.