AUC Philosophica et Historica (Acta Universitatis Carolinae Philosophica et Historica) is a multidisciplinary academic journal focused on the humanities with more than 50 years of tradition.
The journal is indexed in CEEOL, DOAJ, and EBSCO.
AUC PHILOSOPHICA ET HISTORICA, Vol 2015 No 1 (2015), 7–21
Model theory and foundations of logic
Pavel Arazim
DOI: https://doi.org/10.14712/24647055.2016.6
published online: 08. 08. 2016
abstract
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.
keywords: model-theory; completness; substitution; interpretation; representation
periodicity: 2 x per year
ISSN: 0567-8293
E-ISSN: 2464-7055