On some extensions of the class of MV-algebras
Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 1
Abstract
In the present paper we will ask for the lattice L(MVEx) of subvarieties of the variety defined by the set Ex(MV) of all externally compatible identities valid in the variety MV of all MV-algebras. In particular, we will find all subdirectly irreducible algebras from the classes in the lattice L(MVEx) and give syntactical and semantical characterization of the class of algebras defined by P-compatible identities of MV-algebras.
Authors and Affiliations
Krystyna Mruczek-Nasieniewska
Keywords
Related Articles
- EP ID EP201688
- DOI 10.12775/LLP.2015.010
- Views 56
- Downloads 0
Trivial Dialetheism and the Logic of Paradox
In this paper we explain that the paraconsistent logic LP (Logic of Paradox) promoted by Graham Priest can only be supported by trivial dialetheists, i.e., those who believe that all sentences are dialetheias.
Set-theoretic mereology
We consider a set-theoretic version of mereology based on the inclusion relation ⊆ and analyze how well it might serve as a foundation of mathematics. After establishing the non-definability of ∈ from ⊆, we identify the...
Aristotle's Correspondence Theory of Truth and What Does Not Exist
While nowhere does he use the term to refer to his own theory, Aristotle is often thought to exemplify an early correspondence theory of truth. In the paper, I examine the textual evidence used to support the idea that A...
Category Free Category Theory and Its Philosophical Implications
There exists a dispute in philosophy, going back at least to Leibniz, whether is it possible to view the world as a network of relations and relations between relations with the role of objects, between which these relat...
Composition, identity, and emergence
Composition as Identity (CAI) is the thesis that a whole is, strictly and literally, identical to its parts, considered collectively. McDaniel [2008] argues against CAI in that it prohibits emergent properties. Recently...