Logic Semantics with the Potential Infinite

History and Philosophy of Logic 31 (2):145-159 (2011)
A form of quantification logic referred to by the author in earlier papers as being 'ontologically neutral' still made use of the actual infinite in its semantics. Here it is shown that one can have, if one desires, a formal logic that refers in its semantics only to the potential infinite. Included are two new quantifiers generalizing the sentential connectives, equivalence and non-equivalence. There are thus new avenues opening up for exploration in both quantification logic and semantics of the infinite
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445341003722310
 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: 23,209
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
M. Kline (1978). Mathematical Thought From Ancient to Modern Times. British Journal for the Philosophy of Science 29 (1):68-87.
Theodore Hailperin (1997). Ontologically Neutral Logic. History and Philosophy of Logic 18 (4):185-200.
A. P. Treweek & T. Heath (1953). Mathematics in Aristotle. Journal of Hellenic Studies 73 (91):160.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

35 ( #135,010 of 1,941,072 )

Recent downloads (6 months)

4 ( #225,913 of 1,941,072 )

How can I increase my downloads?

My notes
Sign in to use this feature

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