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  • © 2016

Quantifiers and Cognition: Logical and Computational Perspectives

Authors:

  • Combines in a novel way logic, natural language semantics, philosophy of mind and language with theoretical computer science and cognitive science
  • Provides experimental evidence linking computational complexity with cognitive difficulty
  • Contains extensive philosophical and methodological discussion of the natural language expressivity borders
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Linguistics and Philosophy (SLAP, volume 96)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiv
  2. Procedural Semantics

    1. Front Matter

      Pages 1-1
    2. Algorithmic Theory of Meaning

      • Jakub Szymanik
      Pages 3-8
    3. Complexity in Linguistics

      • Jakub Szymanik
      Pages 9-19
  3. Simple Quantifiers

    1. Front Matter

      Pages 21-21
    2. Basic Generalized Quantifier Theory

      • Jakub Szymanik
      Pages 23-39
    3. Computing Simple Quantifiers

      • Jakub Szymanik
      Pages 41-49
    4. Cognitive Processing of Quantifiers

      • Jakub Szymanik
      Pages 51-83
  4. Complex Quantifiers

    1. Front Matter

      Pages 85-85
    2. Standard Polyadic Lifts

      • Jakub Szymanik
      Pages 87-100
    3. Complexity of Polyadic Quantifiers

      • Jakub Szymanik
      Pages 101-121
    4. Complexity of Quantified Reciprocals

      • Jakub Szymanik
      Pages 123-141
    5. Branching Quantifiers

      • Jakub Szymanik
      Pages 143-162
  5. Collective Quantifiers

    1. Front Matter

      Pages 163-163
    2. Complexity of Collective Quantification

      • Jakub Szymanik
      Pages 165-184
  6. Perspectives and Conclusions

    1. Front Matter

      Pages 185-185
    2. Conclusions

      • Jakub Szymanik
      Pages 187-189
  7. Back Matter

    Pages 191-211

About this book

This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition. 


Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, studying the possible meanings and the inferential power of quantifier expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science.


Reviews

“Jakub Szymanik has produced an important new book, Quantifiers and Cognition: Logical and Computational Perspectives … which returns logic to center stage in an important area of human cognitive studies, where the psychology and neuroscience of language, number and reasoning intersect and interact. … the book is a valuable source of new results for the theoretician, and a gold mine for the experimenter.” (Giosue Baggio and Heming Strømholt Bremnes, Studia Logica, Vol. 105, 2017)

Authors and Affiliations

  • University of Amsterdam, Institute for Logic,Language and Computation, Amsterdam, The Netherlands

    Jakub Szymanik

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access