LNAI 2903 Constructive Plausible Logic Is Relatively Consistent 1st Edition by David Billington, Andrew Rock ISBN 9783540200574 354020057X

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Product details:
ISBN 10: 354020057X
ISBN 13: 9783540200574
Author: David Billington, Andrew Rock 

LNAI 2903 Constructive Plausible Logic Is Relatively Consistent 1st Edition Table of contents:

1. Foundations of Plausible Logic

   • Classical Logic vs. Plausible Logic
   • Principles of Plausibility and Its Application in Reasoning
   • The Role of Plausible Logic in Non-Monotonic Reasoning
   • Historical Development and Key Figures in Plausible Logic

2. Constructive Logic: An Overview

   • Key Concepts of Constructive Logic
   • The Principle of Constructivism in Logical Systems
   • Differences Between Constructive and Classical Logic
   • Constructive Proofs and Their Implications in Reasoning

3. Consistency in Logical Systems

   • Definition of Logical Consistency and Its Importance
   • Types of Consistency in Logical Systems
   • Relative Consistency: A Key Concept for Plausible Logic
   • Constructive Approaches to Maintaining Consistency in Reasoning

4. Constructive Plausible Logic

   • The Integration of Constructive Logic and Plausible Reasoning
   • Defining Constructive Plausible Logic (CPL)
   • Syntax and Semantics of Constructive Plausible Logic
   • Constructive Plausible Logic as a Relatively Consistent System

5. Theoretical Properties of Constructive Plausible Logic

   • Proving the Relative Consistency of CPL
   • Model Theory and Completeness of CPL
   • Comparison with Other Logical Systems
   • Plausibility in Relation to Truth and Evidence

6. Applications of Constructive Plausible Logic

   • Use of CPL in Artificial Intelligence and Knowledge Representation
   • Plausible Logic in Reasoning Under Uncertainty
   • Applications in Decision Making and Problem Solving
   • Practical Examples in Law, Ethics, and Medicine

7. Relatively Consistent Logical Systems

   • The Concept of Relative Consistency in Logic
   • How CPL Maintains Relative Consistency
   • Exploring Other Relatively Consistent Systems
   • The Role of Consistency in AI and Knowledge-Based Systems

8. Challenges and Open Problems

   • Limitations of Constructive Plausible Logic
   • Challenges in Defining and Proving Consistency in Non-Classical Logics
   • Open Questions in the Development of Plausible Logic
   • Future Research Directions in Constructive and Plausible Reasoning

9. Conclusion

• Summary of Key Contributions and Insights
• The Role of Constructive Plausible Logic in Modern Logical Systems
• Closing Thoughts on the Future of Plausible and Constructive Reasoning

11. Appendices

• Mathematical Background and Proof Techniques
• Additional Examples and Case Studies
• Glossary of Terms

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