Referential Opacity and Modal Logic, Follesdal, Dagfinn

Автор: Eric Pacuit
Название: Neighborhood Semantics for Modal Logic
ISBN: 3319671480 ISBN-13(EAN): 9783319671482
Издательство: Springer
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Цена: 30740.00 T
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Описание: This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level);

Автор: Cocchiarella, Nino B.; Freund, Max A.
Название: Modal Logic
ISBN: 0195366573 ISBN-13(EAN): 9780195366570
Издательство: Oxford Academ
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Цена: 52260.00 T
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Описание: 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.

Автор: Corfield, David (senior Lecturer In Philosophy, Senior Lecturer In Philosophy, University Of Kent, Canterbury)
Название: Modal homotopy type theory
ISBN: 0198853408 ISBN-13(EAN): 9780198853404
Издательство: Oxford Academ
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Цена: 93990.00 T
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Описание: Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy provides a reasonably gentle introduction to this new logic, thoroughly motivated by intuitive explanations of the need for all of its component parts, and illustrated through innovative applications of the calculus.

Автор: Imre Rusza
Название: Modal Logic with Descriptions
ISBN: 9048182662 ISBN-13(EAN): 9789048182664
Издательство: Springer
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Цена: 144370.00 T
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Описание: This book deals with the processes behind cycles of the phosphate and nitrogen compounds in sediment and the phosphate equilibria between the sediment and the overlying water. The chapters of this book probe the chemicals involved in considerable detail, and offer the complete understanding needed to remediate or prevent pollution problems.

Автор: Heinrich Wansing
Название: Proof Theory of Modal Logic
ISBN: 9048147204 ISBN-13(EAN): 9789048147205
Издательство: Springer
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Цена: 181670.00 T
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Описание: Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Автор: K.A. Bowen
Название: Model Theory for Modal Logic
ISBN: 9048183537 ISBN-13(EAN): 9789048183531
Издательство: Springer
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Цена: 139750.00 T
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Автор: Francesca Poggiolesi
Название: Gentzen Calculi for Modal Propositional Logic
ISBN: 9400734425 ISBN-13(EAN): 9789400734425
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book is about proof theory for (the main systems of) modal logic. It is the first book to give a uniform and exhaustive presentation of both types of sequent calculus for modal logic, the purely syntactic sequent calculi as well as the semantic ones.

Автор: Maarten Marx; Yde Venema
Название: Multi-Dimensional Modal Logic
ISBN: 079234345X ISBN-13(EAN): 9780792343455
Издательство: Springer
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Цена: 139750.00 T
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Описание: Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence. This book treats multi-dimensional modal logics in a uniform way, linking their mathematical theory to the research tradition in algebraic logic.

Автор: Maarten Marx; Yde Venema
Название: Multi-Dimensional Modal Logic
ISBN: 9401064016 ISBN-13(EAN): 9789401064019
Издательство: Springer
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Цена: 93160.00 T
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Автор: Heinrich Wansing
Название: Proof Theory of Modal Logic
ISBN: 0792341201 ISBN-13(EAN): 9780792341208
Издательство: Springer
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Цена: 181670.00 T
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Описание: Focuses on study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations, and more. This work contains technical results and presentations of novel proof procedures. It is useful for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Автор: Guram Bezhanishvili
Название: Leo Esakia on Duality in Modal and Intuitionistic Logics
ISBN: 9402403388 ISBN-13(EAN): 9789402403381
Издательство: Springer
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Описание:

This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems. Consisting of 10 chapters, written by leading experts, this volume discusses Esakia's original contributions and consequent developments that have helped to shape duality theory for modal and intuitionistic logics and to utilize it to obtain some major results in the area.

Beginning with a chapter which explores Esakia duality for S4-algebras, the volume goes on to explore Esakia duality for Heyting algebras and its generalizations to weak Heyting algebras and implicative semilattices. The book also dives into the Blok-Esakia theorem and provides an outline of the intuitionistic modal logic KM which is closely related to the G del-L b provability logic GL. One chapter scrutinizes Esakia's work interpreting modal diamond as the derivative of a topological space within the setting of point-free topology. The final chapter in the volume is dedicated to the derivational semantics of modal logic and other related issues.

Автор: Guram Bezhanishvili
Название: Leo Esakia on Duality in Modal and Intuitionistic Logics
ISBN: 9401788596 ISBN-13(EAN): 9789401788595
Издательство: Springer
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Цена: 139750.00 T
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Описание: Leo Esakia on Duality in Modal and Intuitionistic Logics