Please use this identifier to cite or link to this item:
Appears in Collections:Law and Philosophy Book Chapters and Sections
Title: Structures, homomorphisms, and the needs of model theory
Author(s): Milne, Peter
Contact Email:
Editor(s): Arazim, P
Dancak, M
Citation: Milne P (2015) Structures, homomorphisms, and the needs of model theory. In: Arazim P & Dancak M (eds.) Logica Yearbook 2014. The Logica Yearbook. London: College Publications, pp. 215-231.
Keywords: Model theory
Issue Date: 2015
Date Deposited: 10-Jul-2015
Series/Report no.: The Logica Yearbook
Abstract: When we look closely at textbooks on model theory, we find that there are three different accounts of what a model or structure is. One of these is highly language dependent, so that the same structure cannot be the interpretation of two different languages or signatures. The other two definitions do not fall foul of that dependence but all textbooks tie the notion of homomorphism so closely to language (signature) that only structures interpreting the same language (signature) are isomorphic. Although this follows the practice in universal algebra, it is highly unnatural. The aim here is to present a notion of homomorphism better consonant with intuition and with what the less cautious authors of textbooks say when they speak informally.
Rights: The publisher has granted permission for use of this work in this Repository. Published in Logica Yearbook 2014 by College Publications.

Files in This Item:
File Description SizeFormat 
MILNE Structures homomorphisms and the needs of model theory ....pdfFulltext - Accepted Version250.61 kBAdobe PDFView/Open

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.