Completeness and super-valuations

Journal of Philosophical Logic 34 (1):81 - 95 (2005)
This paper uses the notion of Galois-connection to examine the relation between valuation-spaces and logics. Every valuation-space gives rise to a logic, and every logic gives rise to a valuation space, where the resulting pair of functions form a Galoisconnection, and the composite functions are closure-operators. A valuation-space is said to be complete precisely if it is Galois-closed. Two theorems are proven. A logic is complete if and only if it is reflexive and transitive. A valuation-space is complete if and only if it is closed under formation of super-valuations.
Keywords completeness  Galois-connection  logic  super-valuation  valuation-space
Categories (categorize this paper)
DOI 10.1007/s10992-004-6302-6
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,841
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
What is a Non-Truth-Functional Logic?João Marcos - 2009 - Studia Logica 92 (2):215-240.
Inferentializing Semantics.Jaroslav Peregrin - 2010 - Journal of Philosophical Logic 39 (3):255 - 274.
Duality and Inferential Semantics.James Trafford - 2015 - Axiomathes 25 (4):495-513.

Add more citations

Similar books and articles
Added to PP index

Total downloads
45 ( #125,771 of 2,210,261 )

Recent downloads (6 months)
2 ( #225,618 of 2,210,261 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature