Intensional Logic and Logical Grammar

Intensional Logic and Logical Grammar

Author: L.T.F. Gamut

Publisher: University of Chicago Press

Published: 2020-09-15

Total Pages: 367

ISBN-13: 022679170X

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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.


Procedural Semantics for Hyperintensional Logic

Procedural Semantics for Hyperintensional Logic

Author: Marie Duží

Publisher: Springer Science & Business Media

Published: 2010-07-01

Total Pages: 562

ISBN-13: 9048188121

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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.


A Manual of Intensional Logic

A Manual of Intensional Logic

Author: Johan F. A. K. van Benthem

Publisher: Center for the Study of Language and Information Publications

Published: 1988-07-01

Total Pages: 145

ISBN-13: 9780937073292

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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.


Intensional First-Order Logic

Intensional First-Order Logic

Author: Zoran Majkic

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-09-05

Total Pages: 542

ISBN-13: 3110981432

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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.


Logic and How it Gets That Way

Logic and How it Gets That Way

Author: Dale Jacquette

Publisher: Routledge

Published: 2014-09-19

Total Pages: 321

ISBN-13: 1317546547

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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.


Intensional Logic and Metaphysics of Intentionality

Intensional Logic and Metaphysics of Intentionality

Author: Edward Zalta

Publisher: MIT Press

Published: 1988-06-29

Total Pages: 0

ISBN-13: 0262519526

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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.


Towards Non-Being

Towards Non-Being

Author: Graham Priest

Publisher: Oxford University Press

Published: 2005-05-19

Total Pages: 207

ISBN-13: 0199262543

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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.


Objects and Modalities

Objects and Modalities

Author: Tero Tulenheimo

Publisher: Springer

Published: 2017-03-14

Total Pages: 217

ISBN-13: 3319531190

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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.