Introductory Modal Logic

Author : Kenneth Konyndyk
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 1986
Category : Modality (Logic)
ISBN : 0268011591

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Introductory Modal Logic by Kenneth Konyndyk Pdf

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.

Author : M.J. Cresswell,G.E. Hughes
Publisher : Routledge
Page : 436 pages
File Size : 50,6 Mb
Release : 2012-08-06
Category : Philosophy
ISBN : 9781134800278

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A New Introduction to Modal Logic by M.J. Cresswell,G.E. Hughes Pdf

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.

Author : Brian F. Chellas
Publisher : Cambridge University Press
Page : 316 pages
File Size : 49,7 Mb
Release : 1980-02-29
Category : Mathematics
ISBN : 0521295157

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Modal Logic by Brian F. Chellas Pdf

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

Author : Nino B. Cocchiarella,Max A. Freund
Publisher : Oxford University Press
Page : 283 pages
File Size : 43,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9780195366570

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Modal Logic by Nino B. Cocchiarella,Max A. Freund Pdf

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.

Author : James W. Garson
Publisher : Cambridge University Press
Page : 429 pages
File Size : 52,8 Mb
Release : 2006-08-14
Category : Mathematics
ISBN : 9780521682299

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Modal Logic for Philosophers by James W. Garson Pdf

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

Author : Richard Zach
Publisher : Unknown
Page : 268 pages
File Size : 40,7 Mb
Release : 2019-11-09
Category : Electronic
ISBN : 1077321384

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Boxes and Diamonds by Richard Zach Pdf

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.

Author : Kenneth J Jr Konyndyk
Publisher : University of Notre Dame Press
Page : 128 pages
File Size : 42,5 Mb
Release : 1986-05-31
Category : Electronic
ISBN : 0268082588

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Introductory Modal Logic by Kenneth J Jr Konyndyk Pdf

Author : United States. Securities and Exchange Commission
Publisher : Unknown
Page : 444 pages
File Size : 45,8 Mb
Release : 1996
Category : Securities
ISBN : MINN:30000007288800

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Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 by United States. Securities and Exchange Commission Pdf

Author : Nino B. Cocchiarella,Max A. Freund
Publisher : Oxford University Press
Page : 288 pages
File Size : 52,8 Mb
Release : 2008-08-04
Category : Mathematics
ISBN : 0199710635

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Modal Logic by Nino B. Cocchiarella,Max A. Freund Pdf

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight. All of the S1-S5 modal logics of Lewis and Langford, among others, are constructed. A matrix, or many-valued semantics, for sentential modal logic is formalized, and an important result that no finite matrix can characterize any of the standard modal logics is proven. Exercises, some of which show independence results, help to develop logical skills. A separate sentential modal logic of logical necessity in logical atomism is also constructed and shown to be complete and decidable. On the first-order level of the logic of logical necessity, the modal thesis of anti-essentialism is valid and every de re sentence is provably equivalent to a de dicto sentence. An elegant extension of the standard sentential modal logics into several first-order modal logics is developed. Both a first-order modal logic for possibilism containing actualism as a proper part as well as a separate modal logic for actualism alone are constructed for a variety of modal systems. Exercises on this level show the connections between modal laws and quantifier logic regarding generalization into, or out of, modal contexts and the conditions required for the necessity of identity and non-identity. Two types of second-order modal logics, one possibilist and the other actualist, are developed based on a distinction between existence-entailing concepts and concepts in general. The result is a deeper second-order analysis of possibilism and actualism as ontological frameworks. Exercises regarding second-order predicate quantifiers clarify the distinction between existence-entailing concepts and concepts in general. Modal Logic is ideally suited as a core text for graduate and undergraduate courses in modal logic, and as supplementary reading in courses on mathematical logic, formal ontology, and artificial intelligence.

Author : Grigori Mints
Publisher : Center for the Study of Language and Information Publications
Page : 116 pages
File Size : 42,7 Mb
Release : 1992-06-01
Category : Mathematics
ISBN : 0937073768

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Short Introduction to Modal Logic by Grigori Mints Pdf

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.

Author : Olivier Gasquet,Andreas Herzig,Bilal Said,François Schwarzentruber
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 55,8 Mb
Release : 2013-11-20
Category : Mathematics
ISBN : 9783764385040

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Kripke’s Worlds by Olivier Gasquet,Andreas Herzig,Bilal Said,François Schwarzentruber Pdf

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.

Author : Rod Girle
Publisher : Routledge
Page : 257 pages
File Size : 43,7 Mb
Release : 2014-12-05
Category : Philosophy
ISBN : 9781317492177

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Modal Logics and Philosophy by Rod Girle Pdf

The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission.

Author : M. Fitting,Richard L. Mendelsohn
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401152921

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First-Order Modal Logic by M. Fitting,Richard L. Mendelsohn Pdf

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.

Author : Sally Popkorn
Publisher : Cambridge University Press
Page : 340 pages
File Size : 50,5 Mb
Release : 1994-12-08
Category : Mathematics
ISBN : 9780521464826

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First Steps in Modal Logic by Sally Popkorn Pdf

This is a first course in propositional modal logic, suitable for mathematicians, computer scientists and philosophers. Emphasis is placed on semantic aspects, in the form of labelled transition structures, rather than on proof theory.

Author : Johan van Benthem
Publisher : Unknown
Page : 402 pages
File Size : 41,9 Mb
Release : 2010
Category : Mathematics
ISBN : NWU:35556040094005

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Modal Logic for Open Minds by Johan van Benthem Pdf

In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.