Modal Logic for Philosophers, Garson

Автор: Fitting
Название: First-Order Modal Logic
ISBN: 0792353358 ISBN-13(EAN): 9780792353355
Издательство: Springer
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Описание: Presents a treatment of first-order modal logic, together with propositional background. This book covers quantification, including the difference between actualist and possibilist quantifiers; equality, leading to a treatment of Frege`s morning star/evening star puzzle; the notion of existence and the logical problems surrounding it; and more.

Автор: Cocchiarella, Nino B.; Freund, Max A.
Название: Modal Logic
ISBN: 0195366573 ISBN-13(EAN): 9780195366570
Издательство: Oxford Academ
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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: Bob Hale
Название: Modality
ISBN: 0199671508 ISBN-13(EAN): 9780199671502
Издательство: Oxford Academ
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Описание: The philosophy of modality investigates necessity and possibility, and related notions-are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This collection comprises essays on these and other questions by an excellent team of contributors.

Автор: Francesca Poggiolesi
Название: Gentzen Calculi for Modal Propositional Logic
ISBN: 9400734425 ISBN-13(EAN): 9789400734425
Издательство: Springer
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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: Adriane Rini
Название: Aristotle`s Modal Proofs
ISBN: 9400734670 ISBN-13(EAN): 9789400734678
Издательство: Springer
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Описание: Aristotle`s modal syllogistic is his study of patterns of reasoning about necessity and possibility. This volume provides a simple interpretation of Aristotle`s modal syllogistic using standard predicate logic, making it accessible to a wide range of readers.

Автор: Garson
Название: Modal Logic for Philosophers
ISBN: 1107609526 ISBN-13(EAN): 9781107609525
Издательство: Cambridge Academ
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Описание: This book provides philosophers with an accessible yet technically sound treatment of modal logic and its philosophical applications. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout. A number of technical results have also been clarified and streamlined.