A Note on Intended and Standard Models

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 axioms in attempts at a unique characterization of the intended models. We recall also Jan Woleński’s views on these issues.

Bibliographic Details
Main Author: Pogonowski Jerzy
Format: Article
Language:English
Published: Sciendo 2020-10-01
Series:Studia Humana
Subjects:
intended model
standard model
extremal axiom
metalogic
categoricity
completeness
jan woleński
Online Access:https://doi.org/10.2478/sh-2020-0032
Description
Summary: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.
ISSN:2299-0518

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