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Towards Mathematical Philosophy

Papers from the Studia Logica conference Trends in Logic IV

  • Book
  • © 2009

Overview

Editors:
  1. David Makinson

    1. Department of Philosophy, London School of Economics, London, United Kingdom

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  2. Jacek Malinowski

    1. Institute of Philosophy and Sociology, Polish Academy of Sciences, Warszawa, Poland

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  3. Heinrich Wansing

    1. Institute of Philosophy, Dresden University of Technology, Dresden, Germany

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  • Contains some of the highest level contributions to Logic
  • Is the first book promoting Mathematical Philosophy as an interdisciplinary field
  • Is a collection of articles applying methods of logic -- or more generally those of mathematics -- to solve problems from logic itself and from other sciences
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Logic (TREN, volume 28)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiii
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  2. From Logic to Mathematical Philosophy

    • David Makinson, Jacek Malinowski, Heinrich Wansing
    Pages 1-7

  3. Commutativity of Quantifiers in Varying-Domain Kripke Models

    • Robert Goldblatt, Ian Hodkinson
    Pages 9-30

  4. The Method of Tree-Hypersequents for Modal Propositional Logic

    • Francesca Poggiolesi
    Pages 31-51

  5. All Splitting Logics in the Lattice NExt(KTB)

    • Tomasz Kowalski, Yutaka Miyazaki
    Pages 53-67

  6. A Temporal Logic of Normative Systems

    • Thomas Ågotnes, Wiebe van der Hoek, Juan A. Rodríguez-Aguilar, Carles Sierra, Michael Wooldridge
    Pages 69-106

  7. Reasoning with Justifications

    • Melvin Fitting
    Pages 107-123

  8. Monotone Relations, Fixed Points and Recursive Definitions

    • Janusz Czelakowski
    Pages 125-164

  9. Processing Information from a Set of Sources

    • Arnon Avron, Jonathan Ben-Naim, Beata Konikowska
    Pages 165-186

  10. The Classical Model Existence Theorem in Subclassical Predicate Logics I

    • Jui-Lin Lee
    Pages 187-199

  11. Weak Implicational Logics Related to the Lambek Calculus—Gentzen versus Hilbert Formalisms

    • Wojciech Zielonka
    Pages 201-212

  12. Faithful and Invariant Conditional Probability in Łukasiewicz Logic

    • Daniele Mundici
    Pages 213-232

  13. A Fuzzy Logic Approach to Non-Scalar Hedges

    • Stephan van der Waart van Gulik
    Pages 233-248

  14. The Procedures for Belief Revision

    • Piotr Łukowski
    Pages 249-268

  15. Shifting Priorities: Simple Representations for Twenty-Seven Iterated Theory Change Operators

    • Hans Rott
    Pages 269-296

  16. The Coherence of Theories—Dependencies and Weights

    • Jason Jingshi Li, Rex Bing Hung Kwok, Norman Y. Foo
    Pages 297-318

  17. On Meta-Knowledge and Truth

    • Urszula Wybraniec-Skardowska
    Pages 319-343
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Keywords

About this book

area and in applications to linguistics, formal epistemology, and the study of norms. The second contains papers on non-classical and many-valued logics, with an eye on applications in computer science and through it to engineering. The third concerns the logic of belief management,whichis likewise closely connected with recent work in computer science but also links directly with epistemology, the philosophy of science, the study of legal and other normative systems, and cognitive science. The grouping is of course rough, for there are contributions to the volume that lie astride a boundary; at least one of them is relevant, from a very abstract perspective, to all three areas. We say a few words about each of the individual chapters, to relate them to each other and the general outlook of the volume. Modal Logics The ?rst bundle of papers in this volume contains contribution to modal logic. Three of them examine general problems that arise for all kinds of modal logics. The ?rst paper is essentially semantical in its approach, the second proof-theoretic, the third semantical again: • Commutativity of quanti?ers in varying-domain Kripke models,by R. Goldblatt and I. Hodkinson, investigates the possibility of com- tation (i.e. reversing the order) for quanti?ers in ?rst-order modal logics interpreted over relational models with varying domains. The authors study a possible-worlds style structural model theory that does not v- idate commutation, but satis?es all the axioms originally presented by Kripke for his familiar semantics for ?rst-order modal logic.

Editors and Affiliations

  • Department of Philosophy, London School of Economics, London, United Kingdom

    David Makinson

  • Institute of Philosophy and Sociology, Polish Academy of Sciences, Warszawa, Poland

    Jacek Malinowski

  • Institute of Philosophy, Dresden University of Technology, Dresden, Germany

    Heinrich Wansing

About the editors

David Makinson, Visiting Professor in Department of Philosophy, London School of Economics, author of "Bridges from Classical to Nonmonotonic Logic" (College Publications, 2005) and "Sets Logic and Maths for Computing" (Springer 2008)

Jacek Malinowski, Professor of Logic at Institute of Philosophy, Polish Academy of Sciences and at Department of Logic, Nicolaus Copernicus University. Editor-in-Chief of Studia Logica

Heinrich Wansing, Professor of Philosophy of Science and Logic, Dresden University of Technology; managing editor of Studia Logica; author of "The Logic of Information Structures" (1993) and "Displaying Modal Logic (1998)"

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