<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal axioms in attempts at a unique characterization of the intended models. We recall also Jan Woleński’s views on these issues.</p></abstract>

This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal axioms in attempts at a unique characterization of the intended models. We recall also Jan Woleński’s views on these issues.

A Note on Intended and Standard Models

Studia Humana

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A Note on Intended and Standard Models"}

This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal...

A Note on Intended and Standard Models

Published Online: Nov 11, 2020

Page range: 131 - 139

DOI: https://doi.org/10.2478/sh-2020-0032

Keywords
intended model, standard model, extremal axiom, metalogic, categoricity, completeness, Jan Woleński

© 2020 Jerzy Pogonowski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Note on Intended and Standard Models

Published Online: Nov 11, 2020

Page range: 131 - 139

DOI: https://doi.org/10.2478/sh-2020-0032

Keywordsintended model, standard model, extremal axiom, metalogic, categoricity, completeness, Jan Woleński

© 2020 Jerzy Pogonowski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
intended model, standard model, extremal axiom, metalogic, categoricity, completeness, Jan Woleński