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Variablen im Tractatus

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Abstract

Wittgenstein'sTractatus claims the possibility to represent quantificational logic by means of a single basic operation. Fogelin regards theTractatus system as seriously flawed and thus not suited for this aim, while Geach and Soames propose extensions and corrections of the Tractarian notational system. If the unusual Tractarian view — every variable can be conceived as a propositional variable — is taken full account of, we find out, that theTractatus system is well suited to deal even with the problematic cases of mixed quantifiers with many-place predicates. By expanding the view of variables as certain two-dimensional lists of propositions we find adequate representations of formulas like (x)(∃ y)fxy in the logic of theTractatus. Surprisingly we don't need anything which corresponds to formulas with two or more free variables likefxy, and still get the full power of ordinary quantificational logic.

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Authors and Affiliations

  1. Seminar für Philosophie, Logik und Wissenschaftstheorie, Universität München, Ludwigstr. 31/I, 80539, München, Germany

    Matthias Varga Von Kibéd

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  1. Matthias Varga Von Kibéd
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Dieser Artikel entstand im Rahmen eines von der Deutschen Forschungsgemeinschaft geförderten Projektes zur Form der Welt imTractatus. Für eine Vielzahl fachlicher Diskussionen und nützlicher Hinweise danke ich Verena Mayer. Eine frühere Version des Artikels hat Uwe Lück sorgfältig durchgesehen und mit hilfreichen Anmerkungen versehen. Ferner danke ich dem anonymen Rezensenten für einige kritische Bemerkungen.

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Von Kibéd, M.V. Variablen im Tractatus. Erkenntnis 39, 79–100 (1993). https://doi.org/10.1007/BF01128204

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  • DOI: https://doi.org/10.1007/BF01128204

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