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      Logic & Natural Language
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      Logic & Natural Language

      DOI link for Logic & Natural Language

      Logic & Natural Language book

      On Plural Reference and Its Semantic and Logical Significance

      Logic & Natural Language

      DOI link for Logic & Natural Language

      Logic & Natural Language book

      On Plural Reference and Its Semantic and Logical Significance
      ByHanoch Ben-Yami
      Edition 1st Edition
      First Published 2004
      eBook Published 2 October 2019
      Pub. Location London
      Imprint Routledge
      DOI https://doi.org/10.4324/9781315250267
      Pages 168
      eBook ISBN 9781315250267
      Subjects Humanities
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      Ben-Yami, H. (2004). Logic & Natural Language: On Plural Reference and Its Semantic and Logical Significance (1st ed.). Routledge. https://doi.org/10.4324/9781315250267

      ABSTRACT

      Frege's invention of the predicate calculus has been the most influential event in the history of modern logic. The calculus’ place in logic is so central that many philosophers think, in fact, of it when they think of logic. This book challenges the position in contemporary logic and philosophy of language of the predicate calculus claiming that it is based on mistaken assumptions. Ben-Yami shows that the predicate calculus is different from natural language in its fundamental semantic characteristics, primarily in its treatment of reference and quantification, and that as a result the calculus is inadequate for the analysis of the semantics and logic of natural language. Ben-Yami develops both an alternative analysis of the semantics of natural language and an alternative deductive system comparable in its deductive power to first order predicate calculus but more adequate than it for the representation of the logic of natural language. Ben-Yami's book is a revolutionary challenge to classical first order predicate calculus, casting doubt on many of the central claims of modern logic.

      TABLE OF CONTENTS

      chapter Chapter 1|4 pages

      Introduction

      part Part I|51 pages

      Plural Referring Expressions

      chapter Chapter 2|21 pages

      Plural Referring Expressions in Natural Language

      chapter Chapter 3|13 pages

      Common Nouns as Plural Referring Expressions

      chapter Chapter 4|6 pages

      The Sources of the Analysis of Referring Nouns as Predicates

      chapter Chapter 5|9 pages

      Reference

      part Part II|56 pages

      Quantification

      chapter Chapter 6|19 pages

      Quantification: Natural Language versus the Predicate Calculus

      chapter Chapter 7|17 pages

      Multiple Quantification

      chapter Chapter 8|18 pages

      Pronouns, Variables, and Bound Anaphors

      part Part III|40 pages

      A Deductive System for Natural Language

      chapter Chapter 9|13 pages

      Derivation Rules and Consistency

      chapter Chapter 10|5 pages

      Applications I: Aristotelian Logic

      chapter Chapter 11|15 pages

      Applications II: Beyond Aristotelian Logic

      chapter Chapter 12|5 pages

      Conclusions

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