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.
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| Format: | Article |
| Language: | English |
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Sciendo
2020-10-01
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| Series: | Studia Humana |
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| Online Access: | https://doi.org/10.2478/sh-2020-0032 |
| _version_ | 1831790328375410688 |
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| author | Pogonowski Jerzy |
| author_facet | Pogonowski Jerzy |
| author_sort | Pogonowski Jerzy |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T14:29:59Z |
| format | Article |
| id | doaj.art-811e2998bcd242a2b9d700cec2440f9b |
| institution | Directory Open Access Journal |
| issn | 2299-0518 |
| language | English |
| last_indexed | 2024-12-22T14:29:59Z |
| publishDate | 2020-10-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Studia Humana |
| spelling | doaj.art-811e2998bcd242a2b9d700cec2440f9b2022-12-21T18:22:46ZengSciendoStudia Humana2299-05182020-10-0193-413113910.2478/sh-2020-0032sh-2020-0032A Note on Intended and Standard ModelsPogonowski Jerzy0Adam Mickiewicz University in Poznań, Szamarzewskiego 89/AB Street, 60-568Poznań, PolandThis 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.https://doi.org/10.2478/sh-2020-0032intended modelstandard modelextremal axiommetalogiccategoricitycompletenessjan woleński |
| spellingShingle | Pogonowski Jerzy A Note on Intended and Standard Models Studia Humana intended model standard model extremal axiom metalogic categoricity completeness jan woleński |
| title | A Note on Intended and Standard Models |
| title_full | A Note on Intended and Standard Models |
| title_fullStr | A Note on Intended and Standard Models |
| title_full_unstemmed | A Note on Intended and Standard Models |
| title_short | A Note on Intended and Standard Models |
| title_sort | note on intended and standard models |
| topic | intended model standard model extremal axiom metalogic categoricity completeness jan woleński |
| url | https://doi.org/10.2478/sh-2020-0032 |
| work_keys_str_mv | AT pogonowskijerzy anoteonintendedandstandardmodels AT pogonowskijerzy noteonintendedandstandardmodels |