Towards Mathematical Philosophy
Papers from the Studia Logica conference Trends in Logic IV
Editors: Makinson, David, Malinowski, Jacek, Wansing, Heinrich (Eds.)
Free Preview- 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
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- About this book
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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.
- About the authors
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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)"
- Table of contents (16 chapters)
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From Logic to Mathematical Philosophy
Pages 1-7
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Commutativity of Quantifiers in Varying-Domain Kripke Models
Pages 9-30
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The Method of Tree-Hypersequents for Modal Propositional Logic
Pages 31-51
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All Splitting Logics in the Lattice NExt(KTB)
Pages 53-67
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A Temporal Logic of Normative Systems
Pages 69-106
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Table of contents (16 chapters)
- Download Sample pages 2 PDF (423.4 KB)
- Download Table of contents PDF (137.3 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Towards Mathematical Philosophy
- Book Subtitle
- Papers from the Studia Logica conference Trends in Logic IV
- Editors
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- David Makinson
- Jacek Malinowski
- Heinrich Wansing
- Series Title
- Trends in Logic
- Series Volume
- 28
- Copyright
- 2009
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media B.V.
- eBook ISBN
- 978-1-4020-9084-4
- DOI
- 10.1007/978-1-4020-9084-4
- Hardcover ISBN
- 978-1-4020-9083-7
- Softcover ISBN
- 978-90-481-8065-3
- Series ISSN
- 1572-6126
- Edition Number
- 1
- Number of Pages
- XIV, 344
- Topics
