Studia Logica 96 (2):315-330 (2010)

Francesca Boccuni
University Vita-Salute San Raffaele
PG (Plural Grundgesetze) is a predicative monadic second-order system which exploits the notion of plural quantification and a few Fregean devices, among which a formulation of the infamous Basic Law V. It is shown that second-order Peano arithmetic can be derived in PG. I also investigate the philosophical issue of predicativism connected to PG. In particular, as predicativism about concepts seems rather un-Fregean, I analyse whether there is a way to make predicativism compatible with Frege’s logicism.
Keywords Plural logic  Basic Law V  Predicativism  Second order Peano Arithmetic
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DOI 10.1007/s11225-010-9281-3
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References found in this work BETA

Nominalist Platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
Fixing Frege.John P. Burgess - 2005 - Princeton University Press.

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Citations of this work BETA

Plural Quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Plural Logicism.Francesca Boccuni - 2013 - Erkenntnis 78 (5):1051-1067.
Tuples All the Way Down?Simon Thomas Hewitt - 2018 - Thought: A Journal of Philosophy 7 (3):161-169.
Russell’s Paradox and Free Zig Zag Solutions.Ludovica Conti - forthcoming - Foundations of Science:1-19.

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