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On the Consistency of a Plural Theory of Frege’s Grundgesetze

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Abstract

PG (Plural Grundgesetze) is a predicative monadic second-order system which is aimed to derive second-order Peano arithmetic. It exploits the notion of plural quantification and a few Fregean devices, among which the infamous Basic Law V. In this paper, a model-theoretical consistency proof for the system PG is provided.

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Authors and Affiliations

  1. Philosophy Department, University Vita-Salute San Raffaele, San Raffaele, USA

    Francesca Boccuni

  2. Philosophy Department, University of Padua, Padua, Italy

    Francesca Boccuni

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  1. Francesca Boccuni
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Correspondence to Francesca Boccuni.

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Boccuni, F. On the Consistency of a Plural Theory of Frege’s Grundgesetze . Stud Logica 97, 329–345 (2011). https://doi.org/10.1007/s11225-011-9311-9

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  • DOI: https://doi.org/10.1007/s11225-011-9311-9

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