The Logic of Natural Language

The Logic of Natural Language PDF Author: Fred Sommers
Publisher: Oxford University Press
ISBN: 9780198247401
Category : Grammar, Comparative and general
Languages : en
Pages : 469

Get Book

Book Description

The Logic of Natural Language

The Logic of Natural Language PDF Author: Fred Sommers
Publisher: Oxford University Press
ISBN: 9780198247401
Category : Grammar, Comparative and general
Languages : en
Pages : 469

Get Book

Book Description


Logical Form

Logical Form PDF Author: Andrea Iacona
Publisher: Springer
ISBN: 3319741543
Category : Philosophy
Languages : en
Pages : 139

Get Book

Book Description
Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.

Logic as Grammar

Logic as Grammar PDF Author: Norbert Hornstein
Publisher: MIT Press
ISBN: 9780262081375
Category : Language Arts & Disciplines
Languages : en
Pages : 196

Get Book

Book Description
How is the meaning of natural language interpreted? Taking as its point of departure the logical problem of natural language acquisition, this book elaborates a theory of meaning based on syntactical rather than semantical processes. Copyright © Libri GmbH. All rights reserved.

Logic & Natural Language

Logic & Natural Language PDF Author: Hanoch Ben-Yami
Publisher: Routledge
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 178

Get Book

Book Description
The main purpose of this volume is to demonstrate several significant distinctions between the predicate calculus and natural language, distinctions that make the former inadequate for the study of the semantics and logic of the latter.

Natural Language Semantics

Natural Language Semantics PDF Author: Brendan S. Gillon
Publisher: MIT Press
ISBN: 0262039206
Category : Language Arts & Disciplines
Languages : en
Pages : 731

Get Book

Book Description
An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline. This textbook offers a comprehensive introduction to the fundamentals of those approaches to natural language semantics that use the insights of logic. Many other texts on the subject focus on presenting a particular theory of natural language semantics. This text instead offers an overview of the empirical domain (drawn largely from standard descriptive grammars of English) as well as the mathematical tools that are applied to it. Readers are shown where the concepts of logic apply, where they fail to apply, and where they might apply, if suitably adjusted. The presentation of logic is completely self-contained, with concepts of logic used in the book presented in all the necessary detail. This includes propositional logic, first order predicate logic, generalized quantifier theory, and the Lambek and Lambda calculi. The chapters on logic are paired with chapters on English grammar. For example, the chapter on propositional logic is paired with a chapter on the grammar of coordination and subordination of English clauses; the chapter on predicate logic is paired with a chapter on the grammar of simple, independent English clauses; and so on. The book includes more than five hundred exercises, not only for the mathematical concepts introduced, but also for their application to the analysis of natural language. The latter exercises include some aimed at helping the reader to understand how to formulate and test hypotheses.

Deductive Logic in Natural Language

Deductive Logic in Natural Language PDF Author: Douglas Cannon
Publisher: Broadview Press
ISBN: 1770481133
Category : Philosophy
Languages : en
Pages : 303

Get Book

Book Description
This text offers an innovative approach to the teaching of logic, which is rigorous but entirely non-symbolic. By introducing students to deductive inferences in natural language, the book breaks new ground pedagogically. Cannon focuses on such topics as using a tableaux technique to assess inconsistency; using generative grammar; employing logical analyses of sentences; and dealing with quantifier expressions and syllogisms. An appendix covers truth-functional logic.

Logical Form in Natural Language

Logical Form in Natural Language PDF Author: William G. Lycan
Publisher: MIT Press (MA)
ISBN:
Category : Language and languages
Languages : en
Pages : 368

Get Book

Book Description
Logical Form in Natural Language clearly explains and defends the truth-theoretic method in semantics first developed by Donald Davidson to analyze logical forms of sentences of natural language.

Formal Approaches and Natural Language in Medieval Logic

Formal Approaches and Natural Language in Medieval Logic PDF Author: Laurent Cesalli
Publisher: Brepols
ISBN: 9782503567358
Category : Logic, Medieval
Languages : en
Pages : 0

Get Book

Book Description
Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.

Semantics of Natural Language

Semantics of Natural Language PDF Author: D. Davidson
Publisher: Springer Science & Business Media
ISBN: 9401025576
Category : Philosophy
Languages : en
Pages : 781

Get Book

Book Description
"The idea that prompted the conferenee for which many of these papers were written, and that inspired this book, is stated in the Editorial Introduction reprinted below from Volume 21 of Synthese. The present volume contains the artieles in Synthese 21, Numbers 3-4 and Synthese 22, Numbers 1-2. In addition, it ineludes new papers by Saul Kripke, James McCawley, John R. Ross, and Paul Ziff, and reprints 'Grammar and Philosophy' by P. F. Strawson. Strawson's artiele first appeared in the Proceedings of the Aristotelian Society, Volume 70, and is reprinted with the kind permission of the author and the Aristotelian Society. We also repeat our thanks to the Olivetti Companyand Edizione di Comunita of Milan for permission to inelude the paper by Dana Scott; it also appeared in Synthese 21. DONALO DAVIDSON GILBERT HARMAN EDITORIAL INTRODUCTION The success of linguistics in treating naturallanguages as formal syntactic systems has aroused the interest of a number of linguists in a paralleI or related development of semantics. For the most part quite independ ently, many philosophers and logicians have reeently been applying formai semantic methods to structures increasingly like naturallanguages. While differenees in training, method and vocabulary tend to veil the fact, philosophers and linguists are converging, it seerns, on a common set of interrelated probiems. Sinee philosophers and linguists are working on the same, or very similar, probiems, it would obviously be instructive to compare notes." --

Type-Logical Semantics

Type-Logical Semantics PDF Author: Bob Carpenter
Publisher: MIT Press
ISBN: 9780262531498
Category : Language Arts & Disciplines
Languages : en
Pages : 616

Get Book

Book Description
Based on an introductory course on natural-language semantics, this book provides an introduction to type-logical grammar and the range of linguistic phenomena that can be handled in categorial grammar. It also contains a great deal of original work on categorial grammar and its application to natural-language semantics. The author chose the type-logical categorial grammar as his grammatical basis because of its broad syntactic coverage and its strong linkage of syntax and semantics. Although its basic orientation is linguistic, the book should also be of interest to logicians and computer scientists seeking connections between logical systems and natural language. The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material. Topics covered include higher-order logic, applicative categorial grammar, the Lambek calculus, coordination and unbounded dependencies, quantifiers and scope, plurals, pronouns and dependency, modal logic, intensionality, and tense and aspect. The book contains more mathematical development than is usually found in texts on natural language; an appendix includes the basic mathematical concepts used throughout the book.