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Formal Languages in Logic

Formal Languages in Logic Author Catarina Dutilh Novaes
ISBN-10 9781107020917
Release 2012-11-08
Pages 275
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Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.

Handbook of Logic and Language

Handbook of Logic and Language Author Johan F.A.K. van Benthem
ISBN-10 0444537279
Release 2010-12-17
Pages 1168
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The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories

Relevant Logic

Relevant Logic Author Edwin D. Mares
ISBN-10 0521829232
Release 2004-02-26
Pages 229
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This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.

Syntactic Structures

Syntactic Structures Author Noam Chomsky
ISBN-10 9783110218329
Release 2002-01-01
Pages 135
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Syntactic Structures has been writing in one form or another for most of life. You can find so many inspiration from Syntactic Structures also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Syntactic Structures book for free.

The Cambridge Companion to Medieval Logic

The Cambridge Companion to Medieval Logic Author
ISBN-10 9781107062313
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The Cambridge Companion to Medieval Logic has been writing in one form or another for most of life. You can find so many inspiration from The Cambridge Companion to Medieval Logic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Cambridge Companion to Medieval Logic book for free.

Logic for Mathematicians

Logic for Mathematicians Author J. Barkley Rosser
ISBN-10 9780486468983
Release 2008-12-18
Pages 574
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Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields. Starting with an introduction to symbolic logic, the first eight chapters develop logic through the restricted predicate calculus. Topics include the statement calculus, the use of names, an axiomatic treatment of the statement calculus, descriptions, and equality. Succeeding chapters explore abstract set theory—with examinations of class membership as well as relations and functions—cardinal and ordinal arithmetic, and the axiom of choice. An invaluable reference book for all mathematicians, this text is suitable for advanced undergraduates and graduate students. Numerous exercises make it particularly appropriate for classroom use.

Philosophy of Logic

Philosophy of Logic Author
ISBN-10 008046663X
Release 2006-11-29
Pages 1218
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The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

An Introduction to Formal Logic

An Introduction to Formal Logic Author Peter Smith
ISBN-10 0521008042
Release 2003-11-06
Pages 357
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Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Foundations of Language

Foundations of Language Author Ray Jackendoff
ISBN-10 9780191574016
Release 2002-01-24
Pages 498
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How does human language work? How do we put ideas into words that others can understand? Can linguistics shed light on the way the brain operates? Foundations of Language puts linguistics back at the centre of the search to understand human consciousness. Ray Jackendoff begins by surveying the developments in linguistics over the years since Noam Chomsky's Aspects of the Theory of Syntax. He goes on to propose a radical re-conception of how the brain processes language. This opens up vivid new perspectives on every major aspect of language and communication, including grammar, vocabulary, learning, the origins of human language, and how language relates to the real world. Foundations of Language makes important connections with other disciplines which have been isolated from linguistics for many years. It sets a new agenda for close cooperation between the study of language, mind, the brain, behaviour, and evolution.

Human Reasoning and Cognitive Science

Human Reasoning and Cognitive Science Author Keith Stenning
ISBN-10 9780262293532
Release 2012-01-13
Pages 422
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In Human Reasoning and Cognitive Science, Keith Stenning and Michiel van Lambalgen--a cognitive scientist and a logician--argue for the indispensability of modern mathematical logic to the study of human reasoning. Logic and cognition were once closely connected, they write, but were "divorced" in the past century; the psychology of deduction went from being central to the cognitive revolution to being the subject of widespread skepticism about whether human reasoning really happens outside the academy. Stenning and van Lambalgen argue that logic and reasoning have been separated because of a series of unwarranted assumptions about logic. Stenning and van Lambalgen contend that psychology cannot ignore processes of interpretation in which people, wittingly or unwittingly, frame problems for subsequent reasoning. The authors employ a neurally implementable defeasible logic for modeling part of this framing process, and show how it can be used to guide the design of experiments and interpret results.

Formalizing Medieval Logical Theories

Formalizing Medieval Logical Theories Author Catarina Dutilh Novaes
ISBN-10 9781402058530
Release 2007-04-05
Pages 316
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This book presents formalizations of three important medieval logical theories: supposition, consequence and obligations. These are based on innovative vantage points: supposition theories as algorithmic hermeneutics, theories of consequence analyzed with tools borrowed from model-theory and two-dimensional semantics, and obligations as logical games. The analysis of medieval logic is relevant for the modern philosopher and logician. This is the first book to render medieval logical theories accessible to the modern philosopher.

Language Truth and Logic

Language  Truth and Logic Author Alfred Jules Ayer
ISBN-10 9780486113098
Release 2012-04-18
Pages 160
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"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.

Philosophy in the Flesh

Philosophy in the Flesh Author George Lakoff
ISBN-10 UOM:39015046908979
Release 1999
Pages 624
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Reexamines the Western philosophical tradition, looking at the basic concepts of the mind, time, causation, morality, and the self

Philosophy of Technology and Engineering Sciences

Philosophy of Technology and Engineering Sciences Author
ISBN-10 0080930743
Release 2009-11-27
Pages 1472
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The Handbook Philosophy of Technology and Engineering Sciences addresses numerous issues in the emerging field of the philosophy of those sciences that are involved in the technological process of designing, developing and making of new technical artifacts and systems. These issues include the nature of design, of technological knowledge, and of technical artifacts, as well as the toolbox of engineers. Most of these have thus far not been analyzed in general philosophy of science, which has traditionally but inadequately regarded technology as mere applied science and focused on physics, biology, mathematics and the social sciences. • First comprehensive philosophical handbook on technology and the engineering sciences • Unparalleled in scope including explorative articles • In depth discussion of technical artifacts and their ontology • Provides extensive analysis of the nature of engineering design • Focuses in detail on the role of models in technology

Key Ideas in Linguistics and the Philosophy of Language

Key Ideas in Linguistics and the Philosophy of Language Author Siobhan Chapman
ISBN-10 9780748631421
Release 2009-01-19
Pages 272
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This book offers introductory entries on 80 ideas that have shaped the study of language up to the present day. Entries are written by experts in the fields of linguistics and the philosophy of language to reflect the full range of approaches and modes of thought. Each entry includes a brief description of the idea, an account of its development, and its impact on the field of language study. The book is written in an accessible style with clear descriptions of technical terms, guides to further reading, and extensive cross-referencing between entries. A useful additional feature of this book is that it is cross-referenced throughout with Key Thinkers in Linguistics and the Philosophy of Language (Edinburgh, 2005), revealing significant connections and continuities in the two related disciplines. Ideas covered range from Sense Data, Artificial Intelligence, and Logic, through Generative Semantics, Cognitivism, and Conversation Analysis, to Political Correctness, Deconstruction, and Corpora.

Representing Space in Cognition

Representing Space in Cognition Author Christophe Claramunt
ISBN-10 9780199679911
Release 2013-10
Pages 308
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This book considers how people talk about their environment, find their way in new surroundings, and plan routes. Leading scholars and researchers in psychology, linguistics, computer science, and geography show how empirical research can be used to inform formal approaches towards the development of intuitive assistance systems.

The Situation in Logic

The Situation in Logic Author Jon Barwise
ISBN-10 0937073326
Release 1989-01-01
Pages 327
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Situation Theory and situation semantics are recent approaches to language and information, approaches first formulated by Jon Barwise and John Perry in Situations and Attitudes (1983). The present volume collects some of Barwise's papers written since then, those directly concerned with relations among logic, situation theory, and situation semantics. Several papers appear here for the first time.