Modal Matters in Interpretability Logics PDF Download
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Author: Evan Goris
Publisher:
ISBN: 9789039336977
Category :
Languages : en
Pages : 117
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Book Description
Author: Evan Goris
Publisher:
ISBN: 9789039336977
Category :
Languages : en
Pages : 117
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Book Description
Author: James W. Garson
Publisher: Cambridge University Press
ISBN: 1107512301
Category : Philosophy
Languages : en
Pages : 505
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Book Description
This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.
Author: Nick Bezhanishvili
Publisher: Springer Nature
ISBN: 3031479211
Category :
Languages : en
Pages : 386
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Book Description
Author: Nino B. Cocchiarella
Publisher: Oxford University Press
ISBN: 0199710635
Category : Philosophy
Languages : en
Pages : 283
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Book Description
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: M. Fitting
Publisher: Springer Science & Business Media
ISBN: 9401152926
Category : Philosophy
Languages : en
Pages : 300
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Book Description
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: Rod Girle
Publisher: Routledge
ISBN: 131749217X
Category : Philosophy
Languages : en
Pages : 257
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Book Description
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:
Publisher: Wydawnictwo UJ
ISBN: 8323384088
Category :
Languages : en
Pages : 140
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Book Description
Reports on Mathematical Logic is a journal aimed at publishing quality research papers on mathematical logic and foundations of mathematicsâ€TM.
Author: James W. Garson
Publisher: Cambridge University Press
ISBN: 1107029554
Category : Computers
Languages : en
Pages : 505
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Book Description
The second edition of an accessible yet technically sound treatment of modal logic and its philosophical applications.
Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230552279
Category :
Languages : en
Pages : 80
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Book Description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 79. Chapters: Godel's ontological proof, Potentiality and actuality, Accessibility relation, Counterpart theory, Admissible rule, Kripke semantics, Dynamic logic, Interior algebra, Epistemic modal logic, Doxastic logic, Essence, Deontic logic, Logico-linguistic modeling, Possible world, General frame, Problem of future contingents, Formal ethics, Modal companion, Fiction theory, Two dimensionalism, Rigid designator, Actualism, Contingency, Subjunctive possibility, De dicto and de re, Modal operator, Impossible world, Frege-Church ontology, Accident, Sahlqvist formula, Imperative logic, Autoepistemic logic, Standard translation, Epistemic possibility, Strict conditional, Modal -calculus, Logical possibility, Modal depth, Condition of possibility, S5, Provability logic, Barcan formula, Neighborhood semantics, Apodicticity, Hybrid logic, KK thesis, Multimodal logic, Metaphysical necessity, Alethic modality, Non-rigid designator, Guarded logic, Modal algebra, Finite model property, Predicate abstraction, Axiom S5, Impossible event, Classical modal logic, Hennessy-Milner logic, Window operator, Alternating-time Temporal Logic, Normal modal logic, Modal fictionalism, Interpretability logic, Conceptual necessity, Assertoric, Gabbay's separation theorem, Regular modal logic.
Author: Patrick Blackburn
Publisher: Elsevier
ISBN: 9780080466668
Category : Mathematics
Languages : en
Pages : 1260
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Book Description
The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth
