<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

Publié en ligne: 11 nov. 2020

Pages: 131 - 139

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

Mots clés
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

Publié en ligne: 11 nov. 2020

Pages: 131 - 139

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

Mots clésintended 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.

Mots clés
intended model, standard model, extremal axiom, metalogic, categoricity, completeness, Jan Woleński