Modal logic

Modal logic: an introduction to its syntax and semantics

by Cocchiarella, Nino B.

Type Book
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"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 …

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Title Statements

  • Full title :Modal logic : an introduction to its syntax and semantics / Nino B. Cocchiarella and Max A. Freund.

Summary

"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."--Jacket.

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Edition Statements

  • Publication Date:2008.

Publication Statements

The Physical Object

  • Description:xi, 268 pages ; : 25 cm

Edition Identifiers

  • ISBN:9780195366587, 0195366581, 9780195366570, 0195366573
  • oclc:ocn179802853
  • LC Classification:BC199.M6
  • Dewey Decimal:160

Table of Contents

Introduction -- Syntax of modal sentential calculi -- Matrix semantics -- Semantics for logical necessity -- Semantics for S5 -- Relational world systems -- Quantified modal logic -- Semantics of quantified modal logic -- Second-order modal logic -- Semantics of second-order modal logic.

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Subjects

Einführung Modale logica Modalité (Logique) Modalitet (logik) Modality (Logic) Modallogik

Writers

Cocchiarella, Nino B. Freund, Max A.

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