Protoalgebraic Logics

By:

Janusz Czelakowski

Format:

Hardback

Series:

Trends in Logic

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Description

The main aim of this monograph is to provide a structured study of the algebraic method in metalogic. In contrast to traditional algebraic logic, where the focus is on the algebraic forms of specific deductive systems, abstract algebraic logic is concerned with the process of algebraization itself. This book presents in a systematic way recent ideas in abstract algebraic logic centered around the notion of the Leibniz operator. The stress is put on the taxonomy of deductive systems. Isolating a list of plausible properties of the Leibniz operator serves as a basis for distinguishing certain natural classes of sentential logics. The hierarchy of deductive systems presented in the book comprises, among others, the following classes: protoalgebraic logics, equivalential logics, algebraizable logics, and Fregean logics. Because of the intimate connection between algebraic and logical structures, the book also provides a uniform treatment of various topics concerning deduction theorems and quasivarieties of algebras. The presentation of the above classes of logics is accompanied by a wealth of examples illustrating the general theory.

Release date NZ

April 30th, 2001

Author

Janusz Czelakowski

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XII, 452 p.

Pages

452

Series

Trends in Logic

Dimensions

155x235x25

ISBN-13

9780792369400

Product ID

2843452

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