Quantifiers and Cognition: Logical and Computational Perspectives
Springer International Publishing (Verlag)
978-3-319-28747-8 (ISBN)
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.
Introduction.- Acknowledgments.- Part I: Procedural Semantics.- 1. Algorithmic Theory of Meaning.- 2. Complexity in Linguistics.- Part II: Simple Quantifiers.- 3. Basic Generalized Quantifier Theory.- 4. Computing Simple Quantifiers.- 5. Cognitive Processing of Quantifiers.- Part III: Complex Quantifiers.- 6. Standard Polyadic Lifts.- 7. Complexity of Polyadic Quantifiers.- 8. Complexity of Quantified Reciprocals.- 9. Branching Quantifiers.- Part IV: Collective Quantifiers.- 10. Complexity of Collective Quantification.- Part V: Perspectives and Conclusions.- Conclusions.- A. Mathematical Machinery.- Bibliography.- Subject Index.
"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)
“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)
Erscheinungsdatum | 08.10.2016 |
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Reihe/Serie | Studies in Linguistics and Philosophy |
Zusatzinfo | XIV, 211 p. 49 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 490 g |
Themenwelt | Geisteswissenschaften ► Sprach- / Literaturwissenschaft ► Sprachwissenschaft |
Sozialwissenschaften | |
Schlagworte | cognitive science • Computational Complexity • generalized quantifier theory • language translation and linguistics • Logic • Mathematical Models of Cognitive Processes and Neu • natural language expressivity • natural language semantics • Philosophy of mind • quantifier expressions • Semantics • Social Sciences • theoretical computer science |
ISBN-10 | 3-319-28747-8 / 3319287478 |
ISBN-13 | 978-3-319-28747-8 / 9783319287478 |
Zustand | Neuware |
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