Axiomathes 20 (2-3):347-355 (2010)
This paper investigates relations between truth and consistency. The basic intuition is that truth implies consistency, but the reverse dependence fails. However, this simple account leads to some troubles, due to some metalogical results, in particular the Gödel-Malcev completeness theorem. Thus, a more advanced analysis is required. This is done by employing the concept of ω-consistency and ω-inconsistency. Both concepts motivate that the concept of the standard truth should be introduced as well. The results are illustrated by an interpretation of the well-known logical square and its generalization.
|Keywords||Standard Non-standard Model Inconsistency|
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References found in this work BETA
An Outline of Mathematical Logic: Fundamental Results and Notions Explained with All Details.Andrzej Grzegorczyk - 1974 - D. Reidel Pub. Co..
Citations of this work BETA
The Single-Minded Pursuit of Consistency and its Weakness.Walter Carnielli - 2011 - Studia Logica 97 (1):81 - 100.
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