Existence, freedom, identity, and the logic of abstractionist realism

Mind 116 (461):23-53 (2007)
From the point of view of proof-theoretic semantics, we examine the logical background invoked by Neil Tennant's abstractionist realist account of mathematical existence. To prepare the way, we must first look closely at the rule of existential elimination familiar from classical and intuitionist logics and at rules governing identity. We then examine how well free logics meet the harmony and uniqueness constraints familiar from the proof-theoretic semantics project. Tennant assigns a special role to atomic formulas containing singular terms. This, we find, secures harmony and uniqueness but militates against the putative realism
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/mind/fzm023
 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: 15,914
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.

Add more references

Citations of this work BETA
Owen Griffiths (2014). Harmonious Rules for Identity. Review of Symbolic Logic 7 (3):499-510.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

21 ( #135,074 of 1,725,607 )

Recent downloads (6 months)

3 ( #211,030 of 1,725,607 )

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.