Modal Logic: An Introduction to its Syntax and Semantics by Nino B. Cocchiarella

Description: Modal Logic by Nino B. Cocchiarella, Max A. Freund Estimated delivery 3-12 business days Format Paperback Condition Brand New 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, forsentential 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 dedicto 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 regardingsecond-order predicate quantifiers clarifythe 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. Publisher 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 showindependence 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 avariety 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 identityand 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. ModalLogic 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 Biography Nino B. Cocchiarella, Professor Emeritus of Logic and Philosophy at Indiana University has published many new results on the logic of time, modality, logical necessity, philosophical and mathematical logic, formal ontology, theories of predication, reference, and nominalization. He is the author of several books, most recently Formal Ontology and Conceptual Realism.Max A. Freund is professor of logic and philosophy at the National University of Costa Rica, and has been a visiting professor at the most important universities in Latin America as well a visiting researcher at the University of Munich, Germany. He is the author of numerous articles on modal logic, sortal logic, epistemic logic, philosophy of language, philosophy of computability, second-order logic, judicial logic, and a forthcoming book entitled Judicial Logic. Details ISBN 0195366573 ISBN-13 9780195366570 Title Modal Logic Author Nino B. Cocchiarella, Max A. Freund Format Paperback Year 2008 Pages 288 Publisher Oxford University Press Inc GE_Item_ID:137024324; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! 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