Studia Logica 91 (3):383-406 (2009)

Abstract
This is a contribution to the discussion on the role of truth degrees in manyvalued logics from the perspective of abstract algebraic logic. It starts with some thoughts on the so-called Suszko’s Thesis (that every logic is two-valued) and on the conception of semantics that underlies it, which includes the truth-preserving notion of consequence. The alternative usage of truth values in order to define logics that preserve degrees of truth is presented and discussed. Some recent works studying these in the particular cases of Łukasiewicz’s many-valued logics and of logics associated with varieties of residuated lattices are also presented. Finally the extension of this paradigm to other, more general situations is discussed, highlighting the need for philosophical or applied motivations in the selection of the truth degrees, due both to the interpretation of the idea of truth degree and to some mathematical difficulties.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
Categories (categorize this paper)
DOI 10.1007/s11225-009-9180-7
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,247
External links

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

A Survey of Abstract Algebraic Logic.J. M. Font, R. Jansana & D. Pigozzi - 2003 - Studia Logica 74 (1-2):13 - 97.
Protoalgebraic Logics.W. J. Blok & Don Pigozzi - 1986 - Studia Logica 45 (4):337 - 369.
Selfextensional Logics with a Conjunction.Ramon Jansana - 2006 - Studia Logica 84 (1):63-104.

View all 29 references / Add more references

Citations of this work BETA

Truth Values.Yaroslav Shramko - 2010 - Stanford Encyclopedia of Philosophy.

View all 13 citations / Add more citations

Similar books and articles

On the Very Idea of Degrees of Truth.Timothy Cleveland - 1997 - Australasian Journal of Philosophy 75 (2):218 – 221.
On the Structures Inside Truth-Table Degrees.Frank Stephan - 2001 - Journal of Symbolic Logic 66 (2):731-770.
On Substructural Logics Preserving Degrees of Truth.Josep Maria Font - 2007 - Bulletin of the Section of Logic 36 (3/4):117-129.
Belief and Degrees of Belief.Franz Huber - 2009 - In F. Huber & C. Schmidt-Petri (eds.), Degrees of Belief. Springer.
Is Truth Valuable?Ryan Christensen - 2013 - Philosophy 88 (3):451-466.
Logics Preserving Degrees of Truth.Marek Nowak - 1990 - Studia Logica 49 (4):483 - 499.
Infima of D.R.E. Degrees.Jiang Liu, Shenling Wang & Guohua Wu - 2010 - Archive for Mathematical Logic 49 (1):35-49.
A Characterization of Consequence Operations Preserving Degrees of Truth.Marek Nowak - 1987 - Bulletin of the Section of Logic 16 (4):159-165.
Reliability for Degrees of Belief.Jeff Dunn - 2015 - Philosophical Studies 172 (7):1929-1952.
Classifications of Degree Classes Associated with R.E. Subspaces.R. G. Downey & J. B. Remmel - 1989 - Annals of Pure and Applied Logic 42 (2):105-124.

Analytics

Added to PP index
2009-04-04

Total views
81 ( #132,415 of 2,448,496 )

Recent downloads (6 months)
7 ( #98,357 of 2,448,496 )

How can I increase my downloads?

Downloads

My notes