Towards Mathematical Philosophy

Papers from the Studia Logica conference Trends in Logic IV

  • David Makinson
  • Jacek Malinowski
  • Heinrich Wansing

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. David Makinson, Jacek Malinowski, Heinrich Wansing
    Pages 1-7
  3. Robert Goldblatt, Ian Hodkinson
    Pages 9-30
  4. Tomasz Kowalski, Yutaka Miyazaki
    Pages 53-67
  5. Thomas Ågotnes, Wiebe van der Hoek, Juan A. Rodríguez-Aguilar, Carles Sierra, Michael Wooldridge
    Pages 69-106
  6. Melvin Fitting
    Pages 107-123
  7. Arnon Avron, Jonathan Ben-Naim, Beata Konikowska
    Pages 165-186
  8. Stephan van der Waart van Gulik
    Pages 233-248
  9. Piotr Łukowski
    Pages 249-268
  10. Jason Jingshi Li, Rex Bing Hung Kwok, Norman Y. Foo
    Pages 297-318
  11. Urszula Wybraniec-Skardowska
    Pages 319-343

About this book


This volume contains a collection of articles applying methods of logic or, more generally, of mathematics to solve problems, some of which come from logic itself, others from other sciences. Its range of subjects is far from complete, but broadly representative.

The first group of papers in this volume consists of contributions to pure and applied modal logic. The problems discussed here range from the structure of lattices of normal and other modal propositional logics to modal proof theory and to the semantics of quantified modal logic. The second group of papers deals with Many-valued logics - an extensive domain of strictly logical investigations rooting in philosophical questions concerning the nature of logical values. Logical investigations in cognitive science have successfully utilized methods and systems of belief revision, non-monotonic logic and dynamic epistemic logic. Towards Mathematical Philosophy deals with focal issues of belief revision. The volume concludes with contributions which may be seen to belong to the field of formal epistemology, the area applying logical, probabilistic, game-theoretic and other formal methods to problems and issues in epistemology and philosophy of science, such as those concerning anti-realism, skepticism, theory comparison and theory choice, justification, sources of knowledge and learning theories.


Formal methods Invariant Logic Logical investigations Logical systems Mathematical philosophy Methods of logic Philosophy calculus mathematics proof theorem

Editors and affiliations

  • David Makinson
    • 1
  • Jacek Malinowski
    • 2
  • Heinrich Wansing
    • 3
  1. 1.Department of PhilosophyLondon School of EconomicsLondonUnited Kingdom
  2. 2.Institute of Philosophy and SociologyPolish Academy of SciencesWarszawaPoland
  3. 3.Institute of PhilosophyDresden University of TechnologyDresdenGermany

Bibliographic information