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Foundations of intensional semantics /

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This book provides a systematic study of three foundational issues in the semantics of natural language that have been relatively neglected in the past few decades. It focuses on the formal characterization of intensions, the nature of an adequate type system for natural language semantics, and the...

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Bibliographic Details
Main Author: Fox, Chris, 1965-
Other Authors: Lappin, Shalom
Format: eBook
Language:English
Language Notes:English.
Published: Malden MA : Blackwell Pub., 2005.
Subjects:
Semantics.
Semantics (Philosophy)
Intension (Logic)
Semantics > Data processing.
Semantics
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Cover
  • TOC36;Contents
  • Preface
  • List of Abbreviations
  • 1 Introduction
  • 146;1 Montague8217;s Intensional Logic
  • 146;2 Architectural Features of IL
  • 146;3 Structure of the Book
  • CH36;2 Alternative Approaches to Fine45;Grained Intensionality
  • 246;1 An Algebraic Representation of Possible Worlds Semantics
  • 246;2 Two Strategies for Hyperintensionalism
  • 246;3 Thomason39;s Intentional Logic
  • 246;4 Bealer39;s Intensional Logic
  • 246;5 Structured Meanings and Interpreted Logical Forms
  • 246;6 Landman39;s Data Semantics
  • 246;7 Situation Semantics and Infon Algebras
  • 246;8 Situations as Partial Models
  • 246;9 Topos Semantics
  • 246;10 Conclusion
  • CH36;3 Intensions as Primitives
  • 346;1 A Simple Intensional Theory
  • 346;2 Types and Sorts
  • 346;3 Abstraction and Application
  • 346;4 PT58; An Untyped Theory
  • 346;5 Intensionality in FIL and PTCT
  • 346;6 Conclusion
  • CH36;4 A Higher45;Order44; Fine45;Grained Intensional Logic
  • 446;1 Introduction
  • 446;2 Fine45;Grained Intensional Logic
  • 446;3 A Semantics for FIL
  • 446;4 Conclusion
  • CH36;5 Property Theory with Curry Typing
  • 546;1 PTCT58; A Curry45;Typed Theory
  • 546;2 PTCT58; Syntax of the Basic Theory
  • 546;3 A Proof Theory for PTCT
  • 546;4 Example Proof
  • 546;5 Extending the Type System
  • 546;6 Intensional Identity vs46; Extensional Equivalence
  • 546;7 A Model Theory for PTCT
  • 546;8 Types and Properties
  • 546;9 Separation Types and Internal Type Judgements
  • 546;10 Truth as a Type
  • 546;11 Conclusion
  • CH36;6 Number Theory and Cardinality
  • 646;1 Proportional Cardinality Quantifiers
  • 646;2 Peano Arithmetic
  • 646;3 Number Theory in FIL
  • 646;4 Proportional Generalized Quantifiers in FIL
  • 646;5 Number Theory in PTCT
  • 646;6 Proportional Generalized Quantifiers in PTCT
  • 646;7 Presburger Arithmetic
  • 646;8 Presburger Arithmetic in PTCT
  • 646;9 Conclusion
  • CH36;7 Anaphora and Ellipsis
  • 746;1 A Type45;Theoretical Approach to Anaphora
  • 746;2 Ellipsis in PTCT
  • 746;3 Comparison with Other Type45;Theoretical Approaches
  • 746;4 Conclusion
  • CH36;8 Underspecified Interpretations
  • 846;1 Underspecified Representations
  • 846;2 Comparison with Other Theories
  • 846;3 Conclusion
  • CH36;9 Expressive Power and Formal Strength
  • 946;1 Decidability and Completeness
  • 946;2 Arguments for Higher45;Order Theories
  • 946;3 Arguments against Higher45;Order Theories
  • 946;4 Self45;application44; Stratification and Impredicativity
  • 946;5 First45;Order Status and Finite Cardinality
  • 946;6 Relevance of PTCT to Computational Semantics
  • 946;7 Conclusion
  • CH36;10 Conclusion
  • 1046;1 Montague Semantics and the Architecture of Semantic Theory
  • 1046;2 Algebraic Semantics and Fine45;Grained Alternatives to MS
  • 1046;3 A Conservative Revision of MS
  • 1046;4 Enriching Property Theory with Curry Typing
  • 1046;5 An Intensional Number Theory
  • 1046;6 A Dynamic Type45;Theoretic Account of Anaphora and Ellipsis
  • 1046;7 Underspecified Interpretations as 63;45;Terms of the Representation Language
  • 1046;8 PTCT and Computational Semantics58; Directions for Future Work
  • Bibliography
  • Autho.