Download or read book Logical Form written by Andrea Iacona and published by Springer. This book was released on 2018-01-28 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Logic of Natural Language written by Fred Sommers and published by Oxford University Press. This book was released on 1984 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic as Grammar written by Norbert Hornstein and published by MIT Press. This book was released on 1984 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Natural Language Semantics written by Brendan S. Gillon and published by MIT Press. This book was released on 2019-03-12 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Deductive Logic in Natural Language written by Douglas Cannon and published by Broadview Press. This book was released on 2002-11-13 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Logic Language and Meaning Volume 1 written by L. T. F. Gamut and published by University of Chicago Press. This book was released on 1991 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.
Download or read book Quantifiers in Language and Logic written by Stanley Peters and published by Oxford University Press. This book was released on 2006-04-27 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basicknowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.
Download or read book Logical Form and Language written by Gerhard Preyer and published by Oxford University Press. This book was released on 2002 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the central issues of analytic philosophy and especially the theory of language is the concept of logical form. As typically understood this concept covers investigations into universal logical features underlying languages. However, from Frege and Russell onwards logical form analysts were no longer confined to such narrow linguistic perspectives. For them, investigating the logical form of language took the wider philosophical perspective of trying to understand language as our principal means for representing the world. From Russell's theory of definite descriptions to Davidson's truth-theoretical analyses of adverbial modification, citation, and reported speech, to lay open the logical structures underlying language is seen as a way of revealing the structure and features of the thereby represented world. Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology. Logical Form and Language brings together exciting new contributions from diverse points of view, which illuminate the lively current debate about this topic.
Download or read book The Logic of Our Language written by Rodger L. Jackson and published by Broadview Press. This book was released on 2014-11-04 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Type Logical Semantics written by Bob Carpenter and published by MIT Press. This book was released on 1998-07-24 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Representation and Inference for Natural Language written by Patrick Blackburn and published by Center for the Study of Language and Information Publica Tion. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can computers distinguish the coherent from the unintelligible, recognize new information in a sentence, or draw inferences from a natural language passage? Computational semantics is an exciting new field that seeks answers to these questions, and this volume is the first textbook wholly devoted to this growing subdiscipline. The book explains the underlying theoretical issues and fundamental techniques for computing semantic representations for fragments of natural language. This volume will be an essential text for computer scientists, linguists, and anyone interested in the development of computational semantics.
Download or read book G del Tarski and the Lure of Natural Language written by Juliette Kennedy and published by Cambridge University Press. This book was released on 2020-12-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces an original approach to foundations of mathematics, departing from Gödel and Tarski and spanning many different areas of logic.
Download or read book Introduction to Natural Language Semantics written by Henriëtte de Swart and published by Stanford Univ Center for the Study. This book was released on 1998-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction examines the semantics of natural languages.
Download or read book Formal Approaches and Natural Language in Medieval Logic written by Laurent Cesalli and published by Brepols. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Meaning and Argument written by Ernest Lepore and published by John Wiley & Sons. This book was released on 2012-09-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meaning and Argument is a popular introduction to philosophy of logic and philosophy of language. Offers a distinctive philosophical, rather than mathematical, approach to logic Concentrates on symbolization and works out all the technical logic with truth tables instead of derivations Incorporates the insights of half a century's work in philosophy and linguistics on anaphora by Peter Geach, Gareth Evans, Hans Kamp, and Irene Heim among others Contains numerous exercises and a corresponding answer key An extensive appendix allows readers to explore subjects that go beyond what is usually covered in an introductory logic course Updated edition includes over a dozen new problem sets and revisions throughout Features an accompanying website at http://ruccs.rutgers.edu/~logic/MeaningArgument.html
Download or read book Philosophy of Logical Systems written by Jaroslav Peregrin and published by Routledge. This book was released on 2019-11-11 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the hasty development of modern logic, especially its introducing and embracing various kinds of artificial languages and moving from the study of natural languages to that of artificial ones. This shift seemed extremely helpful and managed to elevate logic to a new level of rigor and clarity. However, the change that logic underwent in this way was in no way insignificant, and it is also far from an insignificant matter to determine to what extent the "new logic" only engaged new and more powerful instruments to answer the questions posed by the "old" one, and to what extent it replaced these questions with new ones. Hence, this movement has generated brand new kinds of philosophical problems that have still not been dealt with systematically. Philosophy of Logical Systems addresses these new kinds of philosophical problems that are intertwined with the development of modern logic. Jaroslav Peregrin analyzes the rationale behind the introduction of the artificial languages of logic; classifies the various tools which were adopted to build such languages; gives an overview of the various kinds of languages introduced in the course of modern logic and the motifs of their employment; discusses what can actually be achieved by relocating the problems of logic from natural language into them; and reaches certain conclusions with respect to the possibilities and limitations of this "formal turn" of logic. This book is both an important scholarly contribution to the philosophy of logic and a systematic survey of the standard (and not so standard) logical systems that were established during the short history of modern logic.
