Categoricity

History and Philosophy of Logic 1 (1):187-207 (1980)
  Copy   BIBTEX

Abstract

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

Author's Profile

John Corcoran
PhD: Johns Hopkins University; Last affiliation: University at Buffalo

Analytics

Added to PP
2009-04-15

Downloads
769 (#17,140)

6 months
95 (#37,304)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?