Download or read book Intensional Logic and Logical Grammar written by L.T.F. Gamut and published by University of Chicago Press. This book was released on 2020-09-15 with total page 367 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.
Download or read book Procedural Semantics for Hyperintensional Logic written by Marie Duží and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about logical analysis of natural language. Since we humans communicate by means of natural language, we need a tool that helps us to understand in a precise manner how the logical and formal mechanisms of natural language work. Moreover, in the age of computers, we need to communicate both with and through computers as well. Transparent Intensional Logic is a tool that is helpful in making our communication and reasoning smooth and precise. It deals with all kinds of linguistic context in a fully compositional and anti-contextual way.
Download or read book Intensional First Order Logic written by Zoran Majkic and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-05 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the properties of conservative extensions of First Order Logic (FOL) to new Intensional First Order Logic (IFOL). This extension allows for intensional semantics to be used for concepts, thus affording new and more intelligent IT systems. Insofar as it is conservative, it preserves software applications and constitutes a fundamental advance relative to the current RDB databases, Big Data with NewSQL, Constraint databases, P2P systems and Semantic Web applications. Moreover, the many-valued version of IFOL can support the AI applications based on many-valued logics.
Download or read book Logic and How it Gets That Way written by Dale Jacquette and published by Routledge. This book was released on 2014-09-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
Download or read book Intensional Logic and Metaphysics of Intentionality written by Edward Zalta and published by MIT Press. This book was released on 1988-06-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Edward N. Zalta tackles the issues that arise in connection with intensional logic and intentional states. In this book, Edward N. Zalta tackles the issues that arise in connection with intensional logic - a formal system for representing and explaining the apparent failures of certain important principles of inference - and intentional states - mental states such as beliefs, hopes, and desires, that are directed toward the world. His theory not only offers a unified explanation of the various kinds of inferential failures associated with intensional logic, but also unifies the study of intensional contexts and intentional states by grounding the explanation of both phenomena in a single theory. Zalta shows that an axiomatized realm of abstract entities, when added to the metaphysical structure of the world, can be used to identify and individuate the contents of directed mental states. These special abstract entities can be viewed as the objectified contents of mental files and they play a crucial role in the analysis of the truth conditions of the sentences involved in the inference failures. The intentional logic Zalta develops, unlike others, can analyze a wide variety of failures involving the principles of substitutivity, existential generalization, and strong extensionality. A Bradford Book.
Download or read book Towards Non Being written by Graham Priest and published by Oxford University Press. This book was released on 2005-05-19 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Towards Non-Being presents an account of the semantics of intentional language - verbs such as 'believes', 'fears', 'seeks', 'imagines'. Graham Priest's account tackles problems concerning intentional states which are often brushed under the carpet in discussions of intentionality, such as their failure to be closed under deducibility. Drawing on the work of the late Richard Routley (Sylvan), it proceeds in terms of objects that may be either existent or non-existent, atworlds that may be either possible or impossible. Since Russell, non-existent objects have had a bad press in Western philosophy; Priest mounts a full-scale defence. In the process, he offers an account of both fictional and mathematical objects as non-existent.The book will be of central interest to anyone who is concerned with intentionality in the philosophy of mind or philosophy of language, the metaphysics of existence and identity, the philosophy or fiction, the philosophy of mathematics, or cognitive representation in AI.
Download or read book A Manual of Intensional Logic written by Johan F. A. K. van Benthem and published by Center for the Study of Language and Information Publications. This book was released on 1988-07-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intensional logic is the technical study of such intensional phenomena in human reasoning as modality, knowledge, or flow of time. These all require a richer semantic picture than standard truth values in one static environment. Such a picture is provided by so-called possible worlds semantics, a paradigm which is surveyed in this book, both as to its external sources of motivation and as to the internal dynamics of the resulting program. In particular, Manual of Intensional Logic presents the major classical topics, including modal logic, tense logic, and conditional logic, all of which illustrate motivations coming from philosophy and linguistics. The Book also discusses recent computational applications in computer science and AI. Finally, Manual of Intensional Logic takes up recent developments in the study of language and information making themselves felt in the area. The Book examines the role of partial information--with illustrations drawn from different branches of Intensional Logic--and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers and theories of types.
Download or read book Intensional Logic written by Ilkka Niiniluoto and published by . This book was released on 1982 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Intensional Logic written by Maarten de Rijke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intensional logic has emerged, since the 1960' s, as a powerful theoretical and practical tool in such diverse disciplines as computer science, artificial intelligence, linguistics, philosophy and even the foundations of mathematics. The present volume is a collection of carefully chosen papers, giving the reader a taste of the frontline state of research in intensional logics today. Most papers are representative of new ideas and/or new research themes. The collection would benefit the researcher as well as the student. This book is a most welcome addition to our series. The Editors CONTENTS PREFACE IX JOHAN VAN BENTHEM AND NATASHA ALECHINA Modal Quantification over Structured Domains PATRICK BLACKBURN AND WILFRIED MEYER-VIOL Modal Logic and Model-Theoretic Syntax 29 RUY J. G. B. DE QUEIROZ AND DOV M. GABBAY The Functional Interpretation of Modal Necessity 61 VLADIMIR V. RYBAKOV Logics of Schemes for First-Order Theories and Poly-Modal Propositional Logic 93 JERRY SELIGMAN The Logic of Correct Description 107 DIMITER VAKARELOV Modal Logics of Arrows 137 HEINRICH WANSING A Full-Circle Theorem for Simple Tense Logic 173 MICHAEL ZAKHARYASCHEV Canonical Formulas for Modal and Superintuitionistic Logics: A Short Outline 195 EDWARD N. ZALTA 249 The Modal Object Calculus and its Interpretation NAME INDEX 281 SUBJECT INDEX 285 PREFACE Intensional logic has many faces. In this preface we identify some prominent ones without aiming at completeness.
Download or read book A Manual of Intensional Logic written by Johan van Benthem and published by Center for the Study of Language and Information Publica Tion. This book was released on 1985 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic Language and Meaning written by L. T. F. Gamut and published by . This book was released on 1991 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Manual of Intensional Logic written by Johan van Benthem and published by . This book was released on 1988 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Objects and Modalities written by Tero Tulenheimo and published by Springer. This book was released on 2017-03-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs.
Download or read book Intensional and Higher Order Modal Logic written by Daniel Gallin and published by Elsevier. This book was released on 2016-06-03 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematics Studies, 19: Intensional and Higher-Order Modal Logic: With Applications to Montague Semantics focuses on an approach to the problem of providing a precise account of natural language syntax and semantics, including the set-theoretic semantical methods, Boolean models, and two-sorted type theory. The book first offers information on intensional logic and alternative formulations of intensional logic. Topics include two-sorted type theory, normal forms, extensions and intensional logic, modal T-logic, persistence in intensional logic, generalized completeness of intensional logic, and natural language and intensional logic. The text then examines higher-order modal logic and algebraic semantics. Discussions focus on Cohen's independence results, topological models of MLp, modal independence results, Boolean models of MLp, relative strength of intensional logic and MLp, propositional operators, modal predicate logic, and propositions in MLp. The monograph is a valuable reference for mathematicians and researchers interested in intensional and higher-order modal logic.
Download or read book Meaning and Necessity A Study in Semantics and Modal Logic written by Rudolf Carnap and published by Read Books Ltd. This book was released on 2011-03-23 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is the development of a new method for the semantical analysis of meaning, that is, a new method for analyzing and describing the meanings of linguistic expressions. This method, called the method of extension and intension, is developed by modifying and extending certain customary concepts, especially those of class and property. The method will be contrasted with various other semantical methods used in traditional philosophy or by contemporary authors. These other methods have one characteristic in common. They all regard an expression in a language as a name of a concrete or abstract entity. In contradistinction, the method here proposed takes an expression, not as naming anything, but as possessing an intension and an extension. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Foundations of Intensional Semantics written by Chris Fox and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic study of three foundational issues in the semantics of natural language that have been relatively neglected in the past few decades. focuses on the formal characterization of intensions, the nature of an adequate type system for natural language semantics, and the formal power of the semantic representation language proposes a theory that offers a promising framework for developing a computational semantic system sufficiently expressive to capture the properties of natural language meaning while remaining computationally tractable written by two leading researchers and of interest to students and researchers in formal semantics, computational linguistics, logic, artificial intelligence, and the philosophy of language
