To be is to be the object of a possible act of choice

Studia Logica 96 (2):289-313 (2010)
Abstract
Aim of the paper is to revise Boolos’ reinterpretation of second-order monadic logic in terms of plural quantification ([4], [5]) and expand it to full second order logic. Introducing the idealization of plural acts of choice, performed by a suitable team of agents, we will develop a notion of plural reference . Plural quantification will be then explained in terms of plural reference. As an application, we will sketch a structuralist reconstruction of second-order arithmetic based on the axiom of infinite à la Dedekind, as the unique non-logical axiom. We will also sketch a virtual interpretation of the classical continuum involving no other infinite than a countable plurality of individuals
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,456
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
Max Black (1971). The Elusiveness of Sets. Review of Metaphysics 24 (4):614 - 636.
George Boolos (1985). Nominalist Platonism. Philosophical Review 94 (3):327-344.

View all 20 references

Citations of this work BETA
Francesca Boccuni (2013). Plural Logicism. Erkenntnis 78 (5):1051-1067.
Similar books and articles
Francesca Boccuni (2013). Plural Logicism. Erkenntnis 78 (5):1051-1067.
Øystein Linnebo, Plural Quantification. Stanford Encyclopedia of Philosophy.
Philippe De Rouilhan (2002). On What There Are. Proceedings of the Aristotelian Society 102:183 - 200.
Simon Hewitt (2012). The Logic of Finite Order. Notre Dame Journal of Formal Logic 53 (3):297-318.
Alex Oliver & Timothy Smiley (2006). A Modest Logic of Plurals. Journal of Philosophical Logic 35 (3):317 - 348.
Keith Hossack (2014). Sets and Plural Comprehension. Journal of Philosophical Logic 43 (2-3):517-539.
Analytics

Monthly downloads

Added to index

2010-11-17

Total downloads

32 ( #55,843 of 1,102,451 )

Recent downloads (6 months)

3 ( #121,593 of 1,102,451 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.