Alternative Logics. Do Sciences Need Them?

The contributions collected here address the question whether the usage of logic in the sciences, especially in modern physics, requires a deviation from classical mathematical logic.

Written for:
Researchers, graduate students

Contents

• 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
• 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
• 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
  • Index