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

Authors
Francesca Boccuni
University Vita-Salute San Raffaele
Abstract
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
Categories (categorize this paper)
DOI 10.1007/s11225-010-9281-3
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,132
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

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.

View all 10 references / Add more references

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.

Add more citations

Similar books and articles

Plural Logicism.Francesca Boccuni - 2013 - Erkenntnis 78 (5):1051-1067.
Is There a Plural Object?Byeong-Uk Yi - forthcoming - In Donal Baxter & Aaron Cotnoir (eds.), Composition as Identity. Oxford University Press.
Relations as Plural-Predications in Plato.Theodore Scaltsas - 2013 - Studia Neoaristotelica 10 (1):28-49.
Logic and Plurals.Salvatore Florio & Øystein Linnebo - 2018 - In Kirk Ludwig & Marija Jankovic (eds.), The Routledge Handbook of Collective Intentionality. Routledge. pp. 451-463.
On the Ontological Commitment of Mereology.Massimiliano Carrara & Enrico Martino - 2009 - Review of Symbolic Logic 2 (1):164-174.
On a Consistent Subsystem of Frege's Grundgesetze.John P. Burgess - 1998 - Notre Dame Journal of Formal Logic 39 (2):274-278.
A Unified Analysis of the English Bare Plural.Greg N. Carlson - 1977 - Linguistics and Philosophy 1 (3):413 - 456.
Plural Logic.Alex Oliver & Timothy Smiley - 2013 - Oxford, England: Oxford University Press UK.

Analytics

Added to PP index
2010-11-17

Total views
84 ( #129,615 of 2,454,725 )

Recent downloads (6 months)
1 ( #449,768 of 2,454,725 )

How can I increase my downloads?

Downloads

My notes