The Law of the Excluded Middle: A Digression

An excursus on the status of the law of excluded middle in mathematics, regarded both from Wittgenstein’s point of view and our own.

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Juliet Floyd Felix Mühlhölzer

Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics An Investigation of Wittgenstein’s Non-Extensionalist Understanding of the Real Numbers

Nordic Wittgenstein Studies Volume 7 Series Editor Niklas Forsberg, Centre for Ethics, Department of Philosophy, University of Pardubice, Pardubice, Czech Republic Editorial Board Members Sorin Bangu, University of Bergen, Bergen, Norway Marin Gustafsson, Åbo Akademi University, Turku, Finland Lars Hertzberg, Åbo Akademi University, Turku, Finland Kjell S. Johannessen, University of Bergen, Bergen, Norway Oskari Kuusela, University of East Anglia, Norwich, UK Yrsa Neuman, Åbo Akademi University, Turku, Finland Bernt Österman, University of Helsinki, Helsinki, Finland Alois Pichler, University of Bergen, Bergen, Norway Simo Säätelä, University of Bergen, Bergen, Norway Anne-Marie Søndergaard Christensen, University of South Denmark, Odense, Denmark Thomas Wallgren, University of Helsinki, Helsinki, Finland Cato Wittusen, University of Stavanger, Stavanger, Norway Advisory Editors Maija Aalto-Heinilä, University of Eastern Finland, Kuopio, Finland Hanne Appelqvist, University of Helsinki, Helsinki, Finland Avner Baz, Tufts University, Medford, USA Anat Biletzki, Tel Aviv University, Tel Aviv, Israel Steen Brock, Aarhus University, Aarhus, Denmark Kevin Cahill, University of Bergen, Bergen, Norway David Cockburn, University of Wales, Cardiff, UK James Conant, University of Chicago, Chicago, USA Cora Diamond, Professor Emeritus, Charlottesville, VA, USA Alberto Emiliani, University of Helsinki, Helsinki, Finland Juliet Floyd, Boston University, Boston, USA Gottfried Gabriel, Professor Emeritus, Jena, Germany Dinda L. Gorlée, The Hague, The Netherlands Herbert Hrachovec, University of Vienna, Wien, Austria Allan Janik, University of Innsbruck, Innsbruck, Austria James Klagge, Virginia Tech, Blacksburg, USA Michael Kremer, University of Chicago, Chicago, USA Camilla Kronqvist, Åbo Akademi University, Turku, Finland David Levy, University of Edinburgh, Edinburgh, UK Denis McManus, University of Southampton, Southampton, UK Felix Mühlhölzer, Georg-August-Universität Göttingen, Göttingen, Germany Jean Philippe Narboux, University of Bordeaux, Pessac, France Joachim Schulte, Universität Zürich, Zürich, Switzerland Daniele Moyal-Sharrock, University of Hertfordshire, Hatfield, UK Stephen Mulhall, Oxford, UK Antonia Soulez, Paris, France David G Stern, University of Iowa, Iowa, USA Nuno Venturinha, Lisbon, Portugal David E. Wellbery, Chicago, USA Edward Witherspoon, Colgate University, New York, USA

The series publishes high-quality studies of Ludwig Wittgenstein’s work and philosophy. It is affiliated with The Nordic Wittgenstein Society, The Wittgenstein Archives at the University of Bergen and The von Wright and Wittgenstein Archives at the University of Helsinki. The series welcomes any first rank study of Wittgenstein’s philosophy, biography or work, and contributions in the subject areas of philosophy and other human and social studies