Model theory and foundations of logic

Despite its popularity, model theory based on Tarski’s insights is in need of deeper philosophical reflection. A wide range of stances towards it was proposed, some seeing it as project based on fundamental misconceptions, some asserting it reveals the very essence of logic. I would like to balance...

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Main Author: Pavel Arazim
Format: Article
Language:ces
Published: Karolinum Press 2016-08-01
Series:Acta Universitatis Carolinae: Philosophica et Historica
Subjects:
Online Access:http://www.karolinum.cz/doi/10.14712/24647055.2016.6
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author Pavel Arazim
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description Despite its popularity, model theory based on Tarski’s insights is in need of deeper philosophical reflection. A wide range of stances towards it was proposed, some seeing it as project based on fundamental misconceptions, some asserting it reveals the very essence of logic. I would like to balance these extreme views. Of particular importance will be its connection to the problem of logical constants. Identifying logical constatnts enables us to identify logical forms of statements and thus brings us close to demarcating logic. We will see that solving this issue in ways suggested by model theory has its considerable costs, while the gains are rather modest.
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spelling doaj.art-8f3c2bd380354e13a92b94018081c1482022-12-22T01:52:27ZcesKarolinum PressActa Universitatis Carolinae: Philosophica et Historica0567-82932464-70552016-08-012015172110.14712/24647055.2016.64161Model theory and foundations of logicPavel ArazimDespite its popularity, model theory based on Tarski’s insights is in need of deeper philosophical reflection. A wide range of stances towards it was proposed, some seeing it as project based on fundamental misconceptions, some asserting it reveals the very essence of logic. I would like to balance these extreme views. Of particular importance will be its connection to the problem of logical constants. Identifying logical constatnts enables us to identify logical forms of statements and thus brings us close to demarcating logic. We will see that solving this issue in ways suggested by model theory has its considerable costs, while the gains are rather modest.http://www.karolinum.cz/doi/10.14712/24647055.2016.6model-theorycompletnesssubstitutioninterpretationrepresentation
spellingShingle Pavel Arazim
Model theory and foundations of logic
Acta Universitatis Carolinae: Philosophica et Historica
model-theory
completness
substitution
interpretation
representation
title Model theory and foundations of logic
title_full Model theory and foundations of logic
title_fullStr Model theory and foundations of logic
title_full_unstemmed Model theory and foundations of logic
title_short Model theory and foundations of logic
title_sort model theory and foundations of logic
topic model-theory
completness
substitution
interpretation
representation
url http://www.karolinum.cz/doi/10.14712/24647055.2016.6
work_keys_str_mv AT pavelarazim modeltheoryandfoundationsoflogic