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Title Logica universalis : towards a general theory of logic / Jean-Yves Beziau, editor
Published Basel ; Boston : Birkhäuser, 2005

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Description 1 online resource (x, 228 pages) : illustrations
Contents From consequence operator to universal logic : a survey of general abstract logic / Jean-Yves Beziau -- Abstract model theory as a framework for universal logic / Marta Garcia-Matos and Jouko Vaananen -- A topological approach to universal logic : model-theoretical abstract logics / Steffen Lewitzka -- Selfextensional logics with implication / Ramon Jansana -- Logic without self-deductibility / Pierre Ageron -- Equipollent logical systems / Carlos Caleiro and Ricardo Goncalves -- What is a logic? / Till Mossakowski, Joseph Goguen, Razvan Diaconescu and Andrzej Tarlecki -- What is a logic, and what is a proof? / Lutz Strassburger -- Non-deterministic matrices and modular semantics of rules / Arnon Avron -- Two's company : "the humbug of many logical values" / Carlos Caleiro, Walter Carnielli, Marcelo Coniglio and Joao Marcos -- Logical friendliness and sympathy / David Makinson -- Logical discrimination / Lloyd Humberstone
Summary Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. This bo
Bibliography Includes bibliographical references
Notes English
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In Springer e-books
Subject Logic, Symbolic and mathematical.
Model theory.
Electronic Data Processing
MATHEMATICS -- Infinity.
MATHEMATICS -- Logic.
Model theory.
Logic, Symbolic and mathematical.
Lógica matemática
Teoría de modelos
Logic, Symbolic and mathematical
Model theory
Beweistheorie
Logischer Schluss
Algebraïsche logica.
Logique mathématique.
Logique symbolique.
Théorie des modèles.
Form Electronic book
Author Béziau, Jean-Yves
LC no. 2005041222
ISBN 9783764373047
3764373040
3764372591
9783764372590
0817672591
9780817672591
6610313210
9786610313211
1280313218
9781280313219