The Age of Alternative Logics

Produktbeschreibung

In the last century, developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic. There has been an influx of new ideas, concerns, and logical systems reflecting a great variety of reasoning tasks in the sciences. This book embodies the multi-dimensional interplay between logic and science, presenting contributions from the world's leading scholars on new trends and possible developments for research. 

Inhaltsverzeichnis

Acknowledgments.- 1. Introduction: Alternative Logics and Classical Concerns; J.
van Benthem.- Part I Proof, Knowledge and Computation. 2. Epistemic Models,
Logical Monotony and Substructural Logics; M. Cozic. 3. Semantics as Based on
Inference; J. Peregrin. 4. Effectiveness; S. Shapiro. 5. Does Gödel's
Incompleteness Theorem Prove thatTruth Transcends Proof?; J. Vidal-Rosset. 6.
Transpositions; H. Visser.- Part II Truth Values Beyond Bivalence.- 7.
Many-Valued and Kripke Semantics; J.-Y. Béziau. 8. The Logic of Complementarity;
N. C. A. da Costa, D. Krause. 9. Semantics for Naive Set Theory in Many-Valued
Logics; T. Libert.- Part III Category-Theoretic Structures. 10. Continuity and
Logical Completeness. An Application of Sheaf Theory and Topoi; S. Awodey. 11.
What is Categorical Structuralism?; G. Hellman. 12. Category Theory as a
Framework for an in re Interpretation of Mathematical Structuralism; E. Landry.
13. Categories, Sets and the Nature of Mathematical Entities; J.-P. Marquis.-
Part IV Independence, Evaluation Games and Imperfect Information. 14. Truth,
Negation and Other Basic Notions of Logic; J. Hintikka. 15. Signalling in IF
Games: A Tricky Business; T. M.V. Janssen, F. Dechesne. 16.
Independence-Friendly Logic and Games of Incomplete Information; A.-V.
Pietarinen. 17. IF and Epistemic Action Logic; M. Rebuschi.- Part V Dialogue and
Pragmatics. 18. Naturalizing Dialogic Pragmatics; G. Heinzmann. 19. Logic as a
Tool of Science Versus Logic as a Scientific Subject; K. Lorenz. 20. Non-Normal
Dialogics for a WonderfulWorld and More; S. Rahman.- Part VI Appendices. A:
Louis Joly as a Platonist Painter?; Roger Pouivet.- Index.