The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today

, , & (eds.)
Dordrecht, Netherland: Springer (2006)
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Abstract

This book explores the interplay between logic and science, describing new trends, new issues and potential research developments.

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1402050119   9781402050114

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Chapters

Epistemic models, logical monotony and substructural logics.  (pages 11--23)Mikaël Cozic
Semantics as based on inference.  (pages 25--36)Jaroslav Peregrin
Effectiveness.  (pages 37--49)Stewart Shapiro
Does Gödel's Incompleteness Theorem Prove that Truth Transcends Proof?  (pages 51--73)Joseph Vidal-Rosset
Transpositions.  (pages 75--86)Henk Visser
Many-valued and Kripke semantics.  (pages 89--101)Jean-Yves Béziau
Semantics for Naive Set Theory in Many-Valued Logics.  (pages 121--136)Thierry Libert
Continuity and logical completeness: an application of sheaf theory and topoi.  (pages 139--149)Steve Awodey
What is categorical structuralism?  (pages 151--161)Geoffrey Hellman
Category theory as a framework for an in re interpretation of mathematical structuralism.  (pages 163--179)Elaine Landry
Categories, sets and the nature of mathematical entities.  (pages 181--192)Jean-Pierre Marquis
Truth, negation and other basic notions of logic.  (pages 195--219)Jaakko Hintikka
Independence-friendly logic and games of incomplete information.  (pages 243--259)Ahti-Veikko Pietarinen
IF and Epistemic Action Logic.  (pages 261--281)Manuel Rebuschi
Naturalizing Dialogic Pragmatics.  (pages 285--297)Gerhard Heinzmann
Logic as a Tool of Science versus Logic as a Scientific Subject.  (pages 299--310)Kuno Lorenz
Non-normal dialogics for a wonderful world and more.  (pages 311--334)Shahid Rahman
Louis Joly as a Platonist Painter?  (pages 337--341)Roger Pouivet

Similar books and articles

The age of alternative logics. Assessing philosophy of logic and mathematics today.H. So - 2008 - History and Philosophy of Logic 29 (3).
Effectiveness.Stewart Shapiro - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 37--49.
Transpositions.Henk Visser - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 75--86.
IF and Epistemic Action Logic.Manuel Rebuschi - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 261--281.
Category theory as a framework for an in re interpretation of mathematical structuralism.Elaine Landry - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 163--179.
What is categorical structuralism?Geoffrey Hellman - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 151--161.
Logic as a Tool of Science versus Logic as a Scientific Subject.Kuno Lorenz - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 299--310.
Semantics as based on inference.Jaroslav Peregrin - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 25--36.
Many-valued and Kripke semantics.Jean-Yves Béziau - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 89--101.
Louis Joly as a Platonist Painter?Roger Pouivet - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser, The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 337--341.

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Author Profiles

Johan Van Benthem
University of Amsterdam
Henrik VIsser
Erasmus University Rotterdam

Citations of this work

A Pragmatic-Semiotic Defence of Bivalence.Marc Champagne - 2021 - History and Philosophy of Logic 43 (2):143-157.

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References found in this work

Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
Knowledge of Language: Its Nature, Origin, and Use.Noam Chomsky - 1986 - Prager. Edited by Darragh Byrne & Max Kölbel.
Philosophy of logic.Willard Van Orman Quine - 1986 - Cambridge: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.

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