Deductive Logic In Natural Language
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Deductive Logic In Natural Language
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Author : Douglas Cannon
language : en
Publisher: Broadview Press
Release Date : 2002-11-13
Deductive Logic In Natural Language written by Douglas Cannon and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-13 with Philosophy categories.
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.
Logic Natural Language
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Author : Hanoch Ben-Yami
language : en
Publisher: Routledge
Release Date : 2019-09-16
Logic Natural Language written by Hanoch Ben-Yami and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-16 with Philosophy categories.
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.
Language Form And Logic
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Author : Peter Ludlow
language : en
Publisher: Oxford University Press
Release Date : 2022-02-24
Language Form And Logic written by Peter Ludlow and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-24 with Language Arts & Disciplines categories.
This book takes an idea first explored by medieval logicians 800 years ago and revisits it armed with the tools of contemporary linguistics, logic, and computer science. The idea - the Holy Grail of the medieval logicians - was the thought that all of logic could be reduced to two very simple rules that are sensitive to logical polarity (for example, the presence and absence of negations). Ludlow and Živanović pursue this idea and show how it has profound consequences for our understanding of the nature of human inferential capacities. They also show its consequences for some of the deepest issues in contemporary linguistics, including the nature of quantification, puzzles about discourse anaphora and pragmatics, and even insights into the source of aboutness in natural language. The key to their enterprise is a formal relation they call "p-scope" - a polarity-sensitive relation that controls the operations that can be carried out in their Dynamic Deductive System. They show that with p-scope in play, deductions can be carried out using sublogical operations like those they call COPY and PRUNE - operations that are simple syntactic operations on sentences. They prove that the resulting deductive system is complete and sound. The result is a beautiful formal tapestry in which p-scope unlocks important properties of natural language, including the property of "restrictedness," which they prove to be equivalent to the semantic notion of conservativity. More than that, they show that restrictedness is also a key to understanding quantification and discourse anaphora, and many other linguistic phenomena.
The Logic Of Categorial Grammars
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Author : Richard Moot
language : en
Publisher: Springer
Release Date : 2012-06-30
The Logic Of Categorial Grammars written by Richard Moot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Mathematics categories.
This book is intended for students in computer science, formal linguistics, mathematical logic and to colleagues interested in categorial grammars and their logical foundations. These lecture notes present categorial grammars as deductive systems, in the approach called parsing-as-deduction, and the book includes detailed proofs of their main properties. The papers are organized in topical sections on AB grammars, Lambek’s syntactic calculus, Lambek calculus and montague grammar, non-associative Lambek calculus, multimodal Lambek calculus, Lambek calculus, linear logic and proof nets and proof nets for the multimodal Lambek calculus.
Deductive Reasoning In Natural Language
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Author : Seema Nundy
language : en
Publisher:
Release Date : 1994
Deductive Reasoning In Natural Language written by Seema Nundy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Artificial intelligence categories.
From Modal Logic To Deductive Databases
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Author : Paul Gochet
language : en
Publisher:
Release Date : 1989-08-30
From Modal Logic To Deductive Databases written by Paul Gochet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-08-30 with Computers categories.
Languages and logics; Intensional logic and natural language; Montague's sematics; Temporal logic; Formalization of revisable reasoning; Logic and databases.
Studying Deductive Logic
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Author : Fred R. Berger
language : en
Publisher: Prentice Hall
Release Date : 1977
Studying Deductive Logic written by Fred R. Berger and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Philosophy categories.
Handbook Of Logic And Language
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Author : J. van Benthem
language : en
Publisher: Elsevier
Release Date : 1997
Handbook Of Logic And Language written by J. van Benthem and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.
Foundations Of Logico Linguistics
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Author : W.S. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 1978-03-31
Foundations Of Logico Linguistics written by W.S. Cooper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-03-31 with Language Arts & Disciplines categories.
In 1962 a mimeographed sheet of paper fell into my possession. It had been prepared by Ernest Adams of the Philosophy Department at Berkeley as a handout for a colloquim. Headed 'SOME FALLACIES OF FORMAL LOGIC' it simply listed eleven little pieces of reasoning, all in ordinary English, and all absurd. I still have the sheet, and quote a couple of the arguments here to give the idea. • If you throw switch S and switch T, the motor will start. There fore, either if you throw switch S the motor will start, or, if you throw switch T the motor will start . • It is not the case that if John passes history he will graduate. Therefore, John will pass history. The disconcerting thing about these inferences is, of course, that under the customary truth-functional interpretation of and, or, not, and if-then, they are supposed to be valid. What, if anything, is wrong? At first I was not disturbed by the examples. Having at that time consider able personal commitment to rationality in general and formal logic in par ticular, I felt it my duty and found myself easily able (or so I thought) to explain away most of them. But on reflection I had to admit that my expla nations had an ad hoc character, varying suspiciously from example to example.
Logic And Language
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Author : Bernard F. Huppe
language : en
Publisher:
Release Date : 2013-09
Logic And Language written by Bernard F. Huppe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.