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Introductory Modal Logic

Author : Kenneth Konyndyk
Publisher :
Page : 0 pages
File Size : 43,22 MB
Release : 1986
Category : Modality (Logic)
ISBN : 9780268011598

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Modal logic, developed as an extension of classical propositional logic and first-order quantification theory, integrates the notions of possibility and necessity and necessary implication. Arguments whose understanding depends on some fundamental knowledge of modal logic have always been important in philosophy of religion, metaphysics, and epistemology. Moreover, modal logic has become increasingly important with the use of the concept of "possible worlds" in these areas. Introductory Modal Logic fills the need for a basic text on modal logic, accessible to students of elementary symbolic logic. Kenneth Konyndyk presents a natural deduction treatment of propositional modal logic and quantified modal logic, historical information about its development, and discussions of the philosophical issues raised by modal logic. Characterized by clear and concrete explanations, appropriate examples, and varied and challenging exercises, Introductory Modal Logic makes both modal logic and the possible-worlds metaphysics readily available to the introductory level student.

Modal Logic

Author : Nino B. Cocchiarella
Publisher : Oxford University Press
Page : 283 pages
File Size : 20,29 MB
Release : 2008
Category : Mathematics
ISBN : 0195366573

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1. Introduction. 2. The Syntax of Modal Sentential Calculi. 4. Semantics for Logical Necessity. 5. Semantics for S5. 6. Relational World Systems. 7. Quantified Modal Logic. 8. The Semantics of Quantified Modal Logic. 9. Second-Order Modal Logic. 10. Semantics of Second-Order Modal Logic. Afterword. Bibliography. Index.

Modal Logic

Author : Brian F. Chellas
Publisher : Cambridge University Press
Page : 316 pages
File Size : 24,80 MB
Release : 1980-02-29
Category : Mathematics
ISBN : 9780521295154

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An introductory textbook on modal logic the logic of necessity and possibility.

A New Introduction to Modal Logic

Author : M.J. Cresswell
Publisher : Routledge
Page : 436 pages
File Size : 10,2 MB
Release : 2012-08-06
Category : Philosophy
ISBN : 1134800274

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This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: An Introduction to Modal Logic and A Companion to Modal Logic. A New Introduction to Modal Logic is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic.

Modal Logic for Philosophers

Author : James W. Garson
Publisher : Cambridge University Press
Page : 429 pages
File Size : 16,82 MB
Release : 2006-08-14
Category : Mathematics
ISBN : 0521682290

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This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.

Boxes and Diamonds

Author : Richard Zach
Publisher :
Page : 268 pages
File Size : 39,63 MB
Release : 2019-11-09
Category :
ISBN : 9781077321380

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A textbook on modal and other intensional logics. It covers normal modal logics, relational semantics, axiomatic and tableaux proof systems, intuitionistic logic, and counterfactual conditionals. It is based on the Open Logic Project and available for free download at openlogicproject.org.

Kripke’s Worlds

Author : Olivier Gasquet
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 33,54 MB
Release : 2013-11-20
Category : Mathematics
ISBN : 3764385049

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Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC (www.irit.fr/Lotrec). LoTREC allows to check whether a given formula is true at a given world of a given model and to check whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implemented in LoTREC. If this is not yet the case LoTREC offers the possibility to implement a tableau system in a relatively easy way via a simple, graph-based, interactive language.

Short Introduction to Modal Logic

Author : Grigori Mints
Publisher : Center for the Study of Language and Information Publications
Page : 116 pages
File Size : 48,19 MB
Release : 1992-06-01
Category : Mathematics
ISBN : 9780937073766

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Modal Logic can be characterized as the logic of necessity and possibility, of 'must be' and 'may be'. A Short Introduction to Modal Logic presents both semantic and syntactic features of the subject and illustrates them by detailed analyses of the three best-known modal systems S5, S4 and T. The book concentrates on the logical aspects of the subject and provides philosophical motivations to show the point of the formal work. The coverage is self-contained, including a summary of the necessary aspects of classical logic which it presupposes. A set of exercises is included in the final chapter.

First-Order Modal Logic

Author : M. Fitting
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 11,21 MB
Release : 2012-12-06
Category : Philosophy
ISBN : 9401152926

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This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

A New Introduction to Modal Logic

Author : M.J. Cresswell
Publisher : Routledge
Page : 432 pages
File Size : 24,18 MB
Release : 2012-08-06
Category : Philosophy
ISBN : 1134800282

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This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: An Introduction to Modal Logic and A Companion to Modal Logic. A New Introduction to Modal Logic is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic.