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Alternative Logics. Do Sciences Need Them?


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Table of Contents

I General Topics.- Why Is It Logical to Admit Several Logics?.- Does Metaphysics Need a Non-Classical Logic?.- Logic and the Philosophical Interpretation of Science.- How Set Theory Impinges on Logic.- Geometries and Arithmetics.- Remarks on Criteria of Truth and Models in Science.- Significant? Not Significant? The Dilemma of Statistical Induction in Scientific Research.- II Alternative Proposals.- Outline of a Paraconsistent Category Theory.- Combinatory Logic, Language, and Cognitive Representations.- Extending the Realm of Logic: The Adaptive-Logic Programme.- Comments on Jaakko Hintikka's Post-Tarskian Truth.- III Alternative Logics Motivated by Problems of Application to Science.- Applied Logics for Computer Science.- Stochastic versus Deterministic Features in Learning Models.- Praxic Logics.- Reasons from Science for Limiting Classical Logic.- The Language of Interpretation in Quantum Physics and Its Logic.- Why Objectivist Programs in Quantum Theory Do Not Need an Alternative Logic.- Does Quantum Physics Require a New Logic?.- Experimental Approach to Quantum-Logical Connectives.- From Semantics to Syntax: Quantum Logic of Observables.- An Unsharp Quantum Logic from Quantum Computation.- Quantum Logic and Quantum Probability.- Operator Algebras and Quantum Logic.


From the reviews:

"This is a valuable anthology of invited papers about the role of alternative logics in science, especially physics. ... this is a worthwhile book, especially for those interested in 'the logic' of quantum theory." (Dr. J.N. Butterfield, Contemporary Physics Vol. 46 (1), January - February, 2005)

"Alternative Logics is a panoramic overview of several logics, with an emphasis on the question whether science needs them. ... A physics library could take pride in having a copy of Alternative Logics on its shelves." (F. A. Muller, Europhysics News, Vol. 36 (1), 2005)

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