Indenumerability and substitutional quantification

Notre Dame Journal of Formal Logic 23 (4):358-366 (1982)
Abstract
We here establish two theorems which refute a pair of what we believe to be plausible assumptions about differences between objectual and substitutional quantification. The assumptions (roughly stated) are as follows: (1) there is at least one set d and denumerable first order language L such that d is the domain set of no interpretation of L in which objectual and substitutional quantification coincide. (2) There exist interpreted, denumerable, first order languages K with indenumerable domains such that substitutional quantification deviates from objectual quantification in K and this deviance remains for all name extensions I of K. We show these assumptions have actually been made, and then prove the refuting theorems.
Keywords objectual quantification  substitutional quantification
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: 10,337
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

No references found.

Citations of this work BETA

No citations found.

Similar books and articles
Marian David (2006). A Substitutional Theory of Truth? [REVIEW] Philosophy and Phenomenological Research 72 (1):182–189.
Philippe De Rouilhan (2002). On What There Are. Proceedings of the Aristotelian Society 102:183 - 200.
Analytics

Monthly downloads

Added to index

2010-08-24

Total downloads

20 ( #81,233 of 1,096,600 )

Recent downloads (6 months)

2 ( #153,658 of 1,096,600 )

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.