David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Andrzej Grzegorczyk (1974). An Outline of Mathematical Logic: Fundamental Results and Notions Explained with All Details. D. Reidel Pub. Co..
Richard Kaye (1991). Models of Peano Arithmetic. Clarendon Press.
Citations of this work BETA
Walter Carnielli (2011). The Single-Minded Pursuit of Consistency and its Weakness. Studia Logica 97 (1):81 - 100.
Similar books and articles
Gemma Robles & José M. Méndez (2009). Strong Paraconsistency and the Basic Constructive Logic for an Even Weaker Sense of Consistency. Journal of Logic, Language and Information 18 (3):357-402.
Gillman Payette & Peter K. Schotch (2007). On Preserving. Logica Universalis 1 (2):295-310.
Andrew Bacon (2013). A New Conditional for Naive Truth Theory. Notre Dame Journal of Formal Logic 54 (1):87-104.
Scott Aikin (2009). A Consistency Challenge for Moral and Religious Beliefs. Teaching Philosophy 32 (2):127-151.
Brian Ribeiro & Scott Aikin (2009). A Consistency Challenge for Moral and Religious Beliefs. Teaching Philosophy 32 (2):127-151.
Kevin Knight (2002). Measuring Inconsistency. Journal of Philosophical Logic 31 (1):77-98.
Albert Visser (2012). The Second Incompleteness Theorem and Bounded Interpretations. Studia Logica 100 (1-2):399-418.
Anthony S. Gillies (2001). A New Solution to Moore's Paradox. Philosophical Studies 105 (3):237-250.
Hartry Field (2006). Truth and the Unprovability of Consistency. Mind 115 (459):567 - 605.
Added to index2010-06-12
Total downloads27 ( #62,756 of 1,098,129 )
Recent downloads (6 months)2 ( #172,576 of 1,098,129 )
How can I increase my downloads?