Introductory Modal Logic

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Introductory Modal Logic

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Author : Kenneth Konyndyk
language : en
Publisher:
Release Date : 1986

Introductory Modal Logic written by Kenneth Konyndyk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Modality (Logic) categories.

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

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Author : Brian F. Chellas
language : en
Publisher: Cambridge University Press
Release Date : 1980-02-29

Modal Logic written by Brian F. Chellas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-02-29 with Mathematics categories.

A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here offers an up-to-date and reliable guide essential for the student.

A New Introduction To Modal Logic

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Author : George Edward Hughes
language : en
Publisher: Psychology Press
Release Date : 1996

A New Introduction To Modal Logic written by George Edward Hughes and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

This entirely new work guides the reader through the most basic systems of modal propositional logic up to systems of modal predicate with identity, dealing with both technical developments and discussing philosophical applications.

Modal Logic

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Author : Nino B. Cocchiarella
language : en
Publisher: Oxford University Press
Release Date : 2008-08-04

Modal Logic written by Nino B. Cocchiarella and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-04 with Philosophy categories.

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.

First Order Modal Logic

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Author : M. Fitting
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-31

First Order Modal Logic written by M. Fitting and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-31 with Computers categories.

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.

Modal Logics And Philosophy

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Author : Rod Girle
language : en
Publisher: Routledge
Release Date : 2014-12-05

Modal Logics And Philosophy written by Rod Girle and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Philosophy categories.

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.

Neighborhood Semantics For Modal Logic

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Author : Eric Pacuit
language : en
Publisher: Springer
Release Date : 2017-11-15

Neighborhood Semantics For Modal Logic written by Eric Pacuit and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-15 with Philosophy categories.

This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities. The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.

Short Introduction To Modal Logic

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Author : Grigori Mints
language : en
Publisher: Center for the Study of Language and Information Publications
Release Date : 1992-06-01

Short Introduction To Modal Logic written by Grigori Mints and has been published by Center for the Study of Language and Information Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-01 with Mathematics categories.

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.

Modal Logic As Metaphysics

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Author : Timothy Williamson
language : en
Publisher: Oxford University Press
Release Date : 2013-03-28

Modal Logic As Metaphysics written by Timothy Williamson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Mathematics categories.

Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.

Introductory Modal Logic

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Author : Kenneth J Jr Konyndyk
language : en
Publisher: University of Notre Dame Press
Release Date : 1986-05-31

Introductory Modal Logic written by Kenneth J Jr Konyndyk and has been published by University of Notre Dame Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-31 with categories.