Special Issue of the Logic Journal of the IGPL: Non-Classical Mathematics

February 2013

Special Issue of the Logic Journal of the IGPL on Non-Classical Mathematics, Volume 21, issue 1, 2013.

A special issue of the Logic Journal of the IGPL, on Non-Classical Mathematics.

Editorial Preface, Libor Bĕhounek, Greg Restall, and Giovanni Sambin.
"Mathematical pluralism," Graham Priest
"A first constructive look at the comparison of projections," Douglas S. Bridges and Luminiţa S. Vîţa
"Lipschitz functions in constructive reverse mathematics," Iris Loeb
"Constructive version of Boolean algebra," Francesco Ciraulo, Maria Emilia Maietti, and Paola Toto
"A generalized cut characterization of the fullness axiom in CZF," Laura Crosilla, Erik Palmgren, and Peter Schuster
"Interpreting lattice-valued set theory in fuzzy set theory," Petr Hájek and Zuzana Haniková
"On equality and natural numbers in Cantor-Łukasiewicz set theory," Petr Hájek
"Identity taken seriously: a non-classical approach," Chris Mortensen
"Strong, universal and provably non-trivial set theory by means of adaptive logic," Peter Verdee

The entire issue can be found here.

You are welcome to download and read this document. I welcome feedback on it. Please check the final published version if you wish to cite it. Thanks.

about

I’m Greg Restall, and this is my personal website. ¶ I am the Shelby Cullom Davis Professor of Philosophy at the University of St Andrews, and the Director of the Arché Philosophical Research Centre for Logic, Language, Metaphysics and Epistemology ¶ I like thinking about – and helping other people think about – logic and philosophy and the many different ways they can inform each other.

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