ENGLISH

Algebraic Methods in Philosophical Logic

By J. Michael Dunn , Gary M. Hardegree

Book information

Publisher
Oxford University Press
Year
2001
ISBN
0198531923, 9780198531920
Google Books ID
-AokWhbILUIC
Language
english
Format
PDF
Filesize
4 MB (4598583 bytes)
Series
Oxford Logic Guides 41
Pages
487\487
Topic
Mathematics Logic
DPI
300
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40

Description

This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. The premise of the text is that standard algebraic results (representations) translate into standard logical results (completeness) and it identifies classes of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. Also discused is the idea that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses such as systems of theorems, consequence relations and, symmetric consequence relations.

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