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)
DOI 10.1305/ndjfl/1093870148
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,370
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Prior and Lorenzen on Quantification.Philip Hugly & Charles Sayward - 1991 - Grazer Philosophishe Studien 41:150-173.
Quantifying Over the Reals.Philip Hugly & Charles Sayward - 1994 - Synthese 101 (1):53 - 64.
Systems of Substitutional Semantics.Daniel Bonevac - 1984 - Philosophy of Science 51 (4):631-656.
Quantifiers in Ontology.Charles F. Kielkopf - 1977 - Studia Logica 36 (4):301-307.
Quantification and Brentano's Logic.Burnham Terrell - 1978 - Grazer Philosophische Studien 5:45-65.
Bound Variables and Schematic Letters.Philip Hugly & Charles Sayward - 1981 - Logique Et Analyse 95 (95):425-429.
Quantification and Brentano's Logic.Terrell Dailey Burnham - 1978 - Grazer Philosophische Studien 5:45-66.
A Substitutional Theory of Truth? [REVIEW]Marian David - 2006 - Philosophy and Phenomenological Research 72 (1):182–189.
On What There Are.Philippe De Rouilhan - 2002 - Proceedings of the Aristotelian Society 102:183 - 200.
A Plea for Substitutional Quantification.Charles Parsons - 1971 - Journal of Philosophy 68 (8):231-237.
Much Ado About Substitutional Quantification.Charles Parsons - 1976 - Journal of Philosophy 73 (18):651-653.
Added to PP index
2010-08-24

Total downloads
39 ( #136,273 of 2,193,782 )

Recent downloads (6 months)
1 ( #290,980 of 2,193,782 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature