Full Text


Subject Philosophy

DOI: 10.1111/b.9781405106795.2004.x


L ogic Dewey 's term, although the idea is much older, for a semantic property ascribed to a theory or an axiomatic system, according to which any two of its satisfying interpretations (or models) are isomorphic. That is, any two models, M and N, of a theory T have the same structure, and there is a one-to-one correspondence between the domain of M and the domain of N. A theory with such a standard structure or model is categorical. Categoricity is an ideal property for the axiomatic method, but its application is very limited. “Categoricity, as thus defined for the first-order language x, is a relatively trivial notion. None of the usual axiomatically formulated mathematical theories will be categorical, because any set of sentences of x with an infinite model will have models that are of differing cardinality and hence are not isomorphic.” Mates, Elementary Logic ... log in or subscribe to read full text

Log In

You are not currently logged-in to Blackwell Reference Online

If your institution has a subscription, you can log in here:


     Forgotten your password?

Find out how to subscribe.

Your library does not have access to this title. Please contact your librarian to arrange access.

[ access key 0 : accessibility information including access key list ] [ access key 1 : home page ] [ access key 2 : skip navigation ] [ access key 6 : help ] [ access key 9 : contact us ] [ access key 0 : accessibility statement ]

Blackwell Publishing Home Page

Blackwell Reference Online ® is a Blackwell Publishing Inc. registered trademark
Technology partner: Semantico Ltd.

Blackwell Publishing and its licensors hold the copyright in all material held in Blackwell Reference Online. No material may be resold or published elsewhere without Blackwell Publishing's written consent, save as authorised by a licence with Blackwell Publishing or to the extent required by the applicable law.

Back to Top