Sets and worlds again

Analysis 72 (2):304-309 (2012)
Abstract
Bringsjord (1985) argues that the definition W of possible worlds as maximal possible sets of propositions is incoherent. Menzel (1986a) notes that Bringsjord’s argument depends on the Powerset axiom and that the axiom can be reasonably denied. Grim (1986) counters that W can be proved to be incoherent without Powerset. Grim was right. However, the argument he provided is deeply flawed. The purpose of this note is to detail the problems with Grim’s argument and to present a sound alternative argument for his conclusion – basically the argument Russell gave to establish a well-known paradox in The Principles of Mathematics
Keywords Possible worlds  Paradox  Maximal consistent sets  Powerset axiom
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: 10,788
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

View all 6 references

Citations of this work BETA
Similar books and articles
David Asperó (2002). A Maximal Bounded Forcing Axiom. Journal of Symbolic Logic 67 (1):130-142.
Theodore Sider (2002). The Ersatz Pluriverse. Journal of Philosophy 99 (6):279-315.
Analytics

Monthly downloads

Added to index

2011-11-26

Total downloads

51 ( #30,972 of 1,099,035 )

Recent downloads (6 months)

4 ( #80,012 of 1,099,035 )

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.