Enriched Meanings

Natural Language Semantics with Category Theory
Oxford University Press
  • erschienen am 15. September 2020
  • |
  • 256 Seiten
E-Book | PDF mit Adobe-DRM | Systemvoraussetzungen
978-0-19-258707-7 (ISBN)
This book develops a theory of enriched meanings for natural language interpretation that uses the concept of monads and related ideas from category theory, a branch of mathematics that has been influential in theoretical computer science and elsewhere. Certain expressions that exhibit complex effects at the semantics/pragmatics boundary live in an enriched meaning space, while others live in a more basic meaning space. These basic meanings are mapped to enriched meanings only when required compositionally, which avoids generalizing meanings to the worst case. Ash Asudeh and Gianluca Giorgolo show that the monadic theory of enriched meanings offers a formally and computationally well-defined way to tackle important challenges at the semantics/pragmatics boundary. In particular, they develop innovative monadic analyses of three phenomena - conventional implicature, substitution puzzles, and conjunction fallacies - and demonstrate that the compositional properties of monads model linguistic intuitions about these cases particularly well. The analyses are accompanied by exercises to aid understanding, and the computational tools used are available on the book's companion website. The book also contains background chapters on enriched meanings and category theory. The volume is interdisciplinary in nature, with insights from semantics, pragmatics, philosophy of language, psychology, and computer science, and will appeal to graduate students and researchers from a wide range of disciplines with an interest in natural language understanding and representation.
  • Englisch
  • Oxford
  • |
  • Großbritannien
  • 1,86 MB
978-0-19-258707-7 (9780192587077)
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Ash Asudeh is a Professor in the Department of Linguistics and the Director of the Center for Language Sciences at the University of Rochester. He has previously held positions at Carleton University and the University of Oxford. His research interests include syntax, semantics, pragmatics, language and logic, and cognitive science. He has published extensively on the syntax-semantics interface, particularly in the frameworks of Lexical-Functional Grammar and Glue Semantics, and is the author of The Logic of Pronominal Resumption (OUP, 2012) and, with Joan Bresnan, Ida Toivonen, and Stephen Wechsler, of Lexical-Functional Syntax, 2nd ed (Wiley-Blackwell, 2016). Gianluca Giorgolo is an independent software engineer based in Modena, Italy. He was previously a Marie Curie Fellow at the University of Oxford, in the Faculty of Linguistics, Philology and Phonetics, a Research Associate at King's College London, and an ERA Postdoctoral Fellow at Carleton University, in the Institute of Cognitive Science. His work has been published in journals such as Semantics and Pragmatics and in the proceedings of conferences on Lexical-Functional Grammar, semantics, and cognitive science
  • Cover
  • Enriched Meanings: Natural Language Semantics with Category Theory
  • Copyright
  • Dedication
  • Contents
  • General preface
  • Acknowledgements
  • List of figures
  • List of tables
  • List of symbols and conventions
  • 1 Introduction
  • 1.1 Computational tool and exercises
  • 2 Enriched meanings in semantics and pragmatics
  • 2.1 Introduction
  • 2.2 Semantics and pragmatics
  • 2.3 Enriched meanings
  • 2.4 The phenomena
  • 2.4.1 Multidimensionality: expressives and parentheticals as conventional implicatures
  • 2.4.2 Perspectives: reference and substitution
  • 2.4.3 Uncertainty: reasoning fallacies
  • 2.5 Conclusion
  • 3 Category theory
  • 3.1 Introduction
  • 3.2 Categories
  • 3.2.1 Category of linguistic meanings
  • 3.3 Functors
  • 3.4 Natural transformations
  • 3.5 Monads
  • 3.6 A logic for working with monads
  • 3.7 Glue Semantics
  • 3.8 Categorial Grammar
  • 3.9 Exercises
  • 4 Conventional implicature
  • 4.1 Introduction
  • 4.2 Interdimensional backflow
  • 4.3 Conventional implicatures and compositionality
  • 4.4 A monad for conventional implicature
  • 4.5 Analysis
  • 4.5.1 Lexicon
  • 4.5.2 Interpretation
  • 4.6 Conclusion
  • 4.7 Exercises
  • 5 Perspectival reference
  • 5.1 Introduction
  • 5.2 The true scope of the problem
  • 5.2.1 No embedding: simple sentences
  • 5.2.2 Non-distinct terms: the Paderewski puzzle
  • 5.2.3 Identity statements: delusions and mathematical truths
  • 5.2.4 Summary: the space of possibilities
  • 5.3 Formalization
  • 5.3.1 A non-monadic formalization in Logical Form semantics
  • 5.3.2 A monadic formalization
  • A monad for perspectives
  • Composition
  • 5.4 Analysis
  • 5.5 Previous approaches
  • 5.6 Conclusion
  • 5.7 Exercises
  • 6 Uncertainty and conjunction fallacies
  • 6.1 Introduction
  • 6.2 Background
  • 6.3 Monads and uncertainty
  • 6.4 Conjunction fallacies, compositionally
  • 6.5 One process, two representations
  • 6.6 Analysis
  • 6.7 Implications for the semantics/pragmatics boundary
  • 6.7.1 Grice is nice?
  • 6.7.2 Let's get tropical
  • 6.8 Conclusion
  • 6.9 Exercises
  • 7 Monad combinatorics
  • 7.1 Introduction
  • 7.2 Mixing phenomena
  • 7.3 Distributive laws
  • 7.4 Interpretation
  • 7.5 Uncertainty
  • 7.5.1 Uncertainty and conventional implicatures
  • 7.5.2 Uncertainty and perspectives
  • 7.6 Why do we need monads?
  • 7.7 Conclusion
  • 7.8 Exercises
  • 7.9 Appendix A: Expanded terms
  • 7.10 Appendix B: Natural deduction proofs
  • 8: Conclusion
  • References
  • Author index
  • Subject index
  • Editors and publishers

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