Modal Logic

An Introduction to its Syntax and Semantics

Szerző: Nino B. Cocchiarella, Max A. Freund

Nyelv:

Kötés: Puha kötésű

Kiadó: Oxford University Press Inc

Elérhetőség: Beszállítói készleten

Küldés 10-18 napon belül

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In this text, a variety of modal logics at the sentential, first-order, and second-order levels are...

Információk a könyvről

Szerző

Nino B. Cocchiarella, Max A. Freund

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2008

oldal

288

EAN

9780195366570

ISBN

0195366573

Enbook ID

04518299

Kiadó

Oxford University Press Inc

Súly

402

Méretek

156 x 233 x 15

Teljes leírás

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.

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Modal Logic

An Introduction to its Syntax and Semantics

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