Foundations of Logico-Linguistics

Foundations of Logico-Linguistics

Author: W.S. Cooper

Publisher: Springer Science & Business Media

Published: 1978-04-30

Total Pages: 276

ISBN-13: 9789027708762

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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.


Uncovering the Logic of English: A Common-Sense Solution to America's Literacy Crisis

Uncovering the Logic of English: A Common-Sense Solution to America's Literacy Crisis

Author: Denise Eide

Publisher: Logic of English, Inc

Published: 2011-01-27

Total Pages: 204

ISBN-13: 1936706075

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"English is so illogical!" It is generally believed that English is a language of exceptions. For many, learning to spell and read is frustrating. For some, it is impossible... especially for the 29% of Americans who are functionally illiterate. But what if the problem is not the language itself, but the rules we were taught? What if we could see the complexity of English as a powerful tool rather than a hindrance? --Denise Eide Uncovering the Logic of English challenges the notion that English is illogical by systematically explaining English spelling and answering questions like "Why is there a silent final E in have, large, and house?" and "Why is discussion spelled with -sion rather than -tion?" With easy-to-read examples and anecdotes, this book describes: - the phonograms and spelling rules which explain 98% of English words - how English words are formed and how this knowledge can revolutionize vocabulary development - how understanding the reasons behind English spelling prevents students from needing to guess The author's inspiring commentary makes a compelling case that understanding the logic of English could transform literacy education and help solve America's literacy crisis. Thorough and filled with the latest linguistic and reading research, Uncovering the Logic of English demonstrates why this systematic approach should be as foundational to our education as 1+1=2.


Foundations of Fuzzy Logic and Semantic Web Languages (Open Access)

Foundations of Fuzzy Logic and Semantic Web Languages (Open Access)

Author: Umberto Straccia

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 388

ISBN-13: 1000556786

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Managing vagueness/fuzziness is starting to play an important role in Semantic Web research, with a large number of research efforts underway. Foundations of Fuzzy Logic and Semantic Web Languages provides a rigorous and succinct account of the mathematical methods and tools used for representing and reasoning with fuzzy information within Semantic


Language and Logics

Language and Logics

Author: Howard Gregory

Publisher: Edinburgh University Press

Published: 2015-07-08

Total Pages: 328

ISBN-13: 0748691650

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Taking linguistics students beyond the classical forms often taught in introductory courses, Language and Logics offers a comprehensive introduction to the wide variety of useful non-classical logics that are commonly used in research. Including a brief review of classical logic and its major assumptions, this textbook provides a guided tour of modal, many valued and substructural logics. The textbook starts from simple and intuitive concepts, clearly explaining the logics of language for linguistics students who have little previous knowledge of logic or mathematics. Issues are presented and discussed clearly before going on to introduce symbolic notation.While not avoiding technical detail, the book focuses throughout on helping students develop an intuitive understanding of the field, with particular attention to conceptual questions and to the tailoring of logical systems to thinking about different applications in linguistics and beyond. This is an ideal introductory volume for advanced undergraduates and beginning postgraduate students in linguistics, and for those specializing in semantics.


Foundations of Probabilistic Logic Programming

Foundations of Probabilistic Logic Programming

Author: Fabrizio Riguzzi

Publisher: CRC Press

Published: 2023-07-07

Total Pages: 548

ISBN-13: 1000923215

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Since its birth, the field of Probabilistic Logic Programming has seen a steady increase of activity, with many proposals for languages and algorithms for inference and learning. This book aims at providing an overview of the field with a special emphasis on languages under the Distribution Semantics, one of the most influential approaches. The book presents the main ideas for semantics, inference, and learning and highlights connections between the methods. Many examples of the book include a link to a page of the web application http://cplint.eu where the code can be run online. This 2nd edition aims at reporting the most exciting novelties in the field since the publication of the 1st edition. The semantics for hybrid programs with function symbols was placed on a sound footing. Probabilistic Answer Set Programming gained a lot of interest together with the studies on the complexity of inference. Algorithms for solving the MPE and MAP tasks are now available. Inference for hybrid programs has changed dramatically with the introduction of Weighted Model Integration. With respect to learning, the first approaches for neuro-symbolic integration have appeared together with algorithms for learning the structure for hybrid programs. Moreover, given the cost of learning PLPs, various works proposed language restrictions to speed up learning and improve its scaling.


Philosophy of Language

Philosophy of Language

Author: Scott Soames

Publisher: Princeton University Press

Published: 2012-09-24

Total Pages: 200

ISBN-13: 0691155976

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A masterful overview of the philosophy of language from one of its most important thinkers In this book one of the world's foremost philosophers of language presents his unifying vision of the field—its principal achievements, its most pressing current questions, and its most promising future directions. In addition to explaining the progress philosophers have made toward creating a theoretical framework for the study of language, Scott Soames investigates foundational concepts—such as truth, reference, and meaning—that are central to the philosophy of language and important to philosophy as a whole. The first part of the book describes how philosophers from Frege, Russell, Tarski, and Carnap to Kripke, Kaplan, and Montague developed precise techniques for understanding the languages of logic and mathematics, and how these techniques have been refined and extended to the study of natural human languages. The book then builds on this account, exploring new thinking about propositions, possibility, and the relationship between meaning, assertion, and other aspects of language use. An invaluable overview of the philosophy of language by one of its most important practitioners, this book will be essential reading for all serious students of philosophy.


Foundations of Logic and Mathematics

Foundations of Logic and Mathematics

Author: Yves Nievergelt

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 425

ISBN-13: 146120125X

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This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.


Foundations of Logic Programming

Foundations of Logic Programming

Author: J. W. Lloyd

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 135

ISBN-13: 3642968260

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This book gives an account oC the mathematical Coundations oC logic programming. I have attempted to make the book selC-contained by including prooCs of almost all the results needed. The only prerequisites are some Camiliarity with a logic programming language, such as PROLOG, and a certain mathematical maturity. For example, the reader should be Camiliar with induction arguments and be comCortable manipulating logical expressions. Also the last chapter assumes some acquaintance with the elementary aspects of metric spaces, especially properties oC continuous mappings and compact spaces. Chapter 1 presents the declarative aspects of logic programming. This chapter contains the basic material Crom first order logic and fixpoint theory which will be required. The main concepts discussed here are those oC a logic program, model, correct answer substitution and fixpoint. Also the unification algorithm is discussed in some detail. Chapter 2 is concerned with the procedural semantics oC logic programs. The declarative concepts are implemented by means oC a specialized Corm oC resolution, called SLD-resolution. The main results of this chapter concern the soundness and completeness oC SLD-resolution and the independence oC the computation rule. We also discuss the implications of omitting the occur check from PROLOG implementations. Chapter 3 discusses negation. Current PROLOG systems implement a form of negation by means of the negation as failure rule. The main results of this chapter are the soundness and completeness oC the negation as failure rule.


Word and World

Word and World

Author: Patricia Hanna

Publisher:

Published: 2004

Total Pages: 440

ISBN-13:

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This important book proposes a new account of the nature of language, founded upon an original interpretation of Wittgenstein. The authors deny the existence of a direct referential relationship between words and things. Rather, the link between language and world is a two-stage one, in which meaning is used and in which a natural language should be understood as fundamentally a collection of socially devised and maintained practices. Arguing against the philosophical mainstream descending from Frege and Russell to Quine, Davidson, Dummett, McDowell, Evans, Putnam, Kripke and others, the authors demonstrate that discarding the notion of reference does not entail relativism or semantic nihilism. A provocative re-examination of the interrelations of language and social practice, this book will interest not only philosophers of language but also linguists, psycholinguists, students of communication and all those concerned with the nature and acquisition of human linguistic capacities.


Language, Logic, and Concepts

Language, Logic, and Concepts

Author: Ray Jackendoff

Publisher: MIT Press

Published: 2002

Total Pages: 512

ISBN-13: 9780262600460

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A wide-ranging collection of essays inspired by the memory of the cognitive psychologist John Macnamara.