History and Philosophy of Logic 1 (1):187-207 (1980)
After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those involving the distinction between characterizing a system and axiomatizing the truths of a system
Categories (categorize this paper)
 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 John Corcoran, Categoricity
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
Alonzo Church (1956). Introduction to Mathematical Logic. Princeton, Princeton University Press.
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
John Corcoran (1972). Conceptual Structure of Classical Logic. Philosophy and Phenomenological Research 33 (1):25-47.
Erik Ellentuck (1976). Categoricity Regained. Journal of Symbolic Logic 41 (3):639-643.

View all 13 references

Citations of this work BETA

View all 7 citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

76 ( #28,238 of 1,699,479 )

Recent downloads (6 months)

21 ( #34,609 of 1,699,479 )

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.